diff --git "a/data/dm_maths/full_data_1/1417_11255.jsonl" "b/data/dm_maths/full_data_1/1417_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1417_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -11 times -0.158?\nAnswer: 1.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d - 12 = 0. Suppose 3*v - 99 = 3*i, d*v - 87 = -3*i - 2*i. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 3204*f**2 + 463227*f + 4711806.\nAnswer: 3*(f + 11)*(f + 159)*(f + 898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08560814 + 0.0856. What is a rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 914 + 932 = 0. Solve 0 = -9*q + 12*q + 3*g - 21, 8 = f*q - g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089427057.\nAnswer: 3, 2689, 127657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 0 - n - 3*n - 11. Let a be v(-5). Let x(p) = 10*p**2 - a*p**2 + 4 - 4*p**2 - 3*p**2 - 3*p. What is x(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*f = 6, 10 = -0*w + 5*w + 5*f. Solve 3*r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*d - 1645*d - 788*d - 486486 = 0 for d.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f62d - 4?\nAnswer: f629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a millennium?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*h + 0*h = 3, 3*b + 16 = 5*h. Let a(v) = v**3 - v**2 + v + 2. Let l be a(0). Suppose 3*f - 4 = l*f. Sort f, -5, b in descending order.\nAnswer: f, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-155)\/(-40) - (-4)\/32. Find the third derivative of 0*a**4 - 19*a**2 + 2*a**l - 15*a**4 - 7*a**4 wrt a.\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 9*s - 152. Suppose s = 3*c - 82. Suppose 5*q = b + 92 + c, 2*b = -10. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -305, -318, -349, -404, -489, -610?\n\"Answer: -n**3 - 3*n**2 + 3*n - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 944 = 4*g. Differentiate 22 - g + r**3 - 13*r**3 - 43 with respect to r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**(-1\/8)))\/b)*b*b*b*b**4)\/((((b\/b**2)\/b)\/b)\/(b*b\/(b\/(b*b**8)))) assuming b is positive.\nAnswer: b**(175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + u = -o - 526, 3*o - 5*u - 1568 = 0. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v - 3. Let i(p) = -2*p**2 - 56*p - 38. Let h(m) = -m**2 - 13*m - 27. Let b be h(0). Calculate the least common multiple of i(b) and c(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllclcllcllc. Give prob of sequence cl.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 88*r + 8. List the prime factors of d(8).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:18 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 25*c**2 - 60*c - 243. Determine p(-10).\nAnswer: 857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211263120 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/5 - 8806*v**3\/5 - 9854062*v**2\/5 - 352646186*v\/5.\nAnswer: -2*v*(v + 37)*(v + 2183)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b - -1?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 35*b**3\/6 + 61*b**2\/2 - 43*b - 21. Let j(l) be the first derivative of n(l). Differentiate j(f) wrt f.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q**2 + 4*q + 12. Let a be x(6). Let l be 3 + 12\/7*a\/(-9). Suppose -3*s + l = -171. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1043053 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:16 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i - 3*i + 3*i)*(2*i + i - 2*i) - i**2 + 0*i**2 + 0*i**2)*(2 - 7 - 5 + 2*i).\nAnswer: 2*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-2)\/8 + (-1 - -4). Solve a*t - 4*p = -3*t + 3, 2*t - 9 = -p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgj when three letters picked without replacement from {g: 4, b: 10, j: 2, o: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 11:53 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(242))\/sqrt(11))\/(sqrt(396)*2)*2)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625*h - 28165 + 38329 - 48429 = 39735 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**4*v + 5*j**2 + 5*j*v**2 - 463*v**2 with respect to j.\nAnswer: 24*j**3*v + 10*j + 5*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.66103 and -31.\nAnswer: -20.49193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 25*f**4\/4 - 23*f - 12. Differentiate r(x) with respect to x.\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449073 divided by 6?\nAnswer: 1449073\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/220 and 21\/979660.\nAnswer: 979660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6817922 divided by 138?\nAnswer: 3408961\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 1. Let h be f(2). Let l be (3\/((-119)\/(-35) - 4))\/(2 - 3). Solve 0 = -l*a - 28 + h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4559849 and 3010?\nAnswer: 45598490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90504 or 90491?\nAnswer: 90504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5973 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-8) + (-2774)\/(-8). Suppose 5*j = x - 101. Let b be (-2)\/7 - (-112)\/j. Solve 2*a = 2*c, -7*a = -2*c - 4*a + b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56005241 (base 7) to base 15\nAnswer: 654b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500964 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let b be 33673\/755 - (-2)\/5. Find the common denominator of 48\/11 and 80\/b - (-3)\/y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3\/3 + l**2 + 1. Let u(t) be the third derivative of -t**5\/20 - 3*t**4\/8 - 6*t**2. Give -2*u(b) - 9*z(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*v + 1703615, v = 5*z - 1840143 + 136528. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ssnnpsnsnns.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 348*g**3 - 2608*g**2 + 6384*g - 5056.\nAnswer: -4*(g - 79)*(g - 4)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81208761.\nAnswer: 3, 79, 342653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 3:22 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*c - 28, 0 = c - 17*w + 16*w - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-9)*(-182)\/(-14) and -77\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 9 = 4*g - 114, 0 = -5*y - 5*g. Let j be 0 + 1 + 4 + 0. What is the nearest to -1 in 10, j, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.195. What is r rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 7*p - 84. Give o(-13).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000564 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*p - 16*p + 6*p - 4)*(p**2 - 3*p**2 + 6*p**2) in the form f*p**2 + v*p + i + q*p**3 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10471605 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -1.7897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174456 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 + -289. List the prime factors of (1 + 158)*((-8)\/12 - s).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(52)\/sqrt(4)*2 + sqrt(13))*-3)**2.\nAnswer: 947700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -505 (base 12) to base 6\nAnswer: -3205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5509872 divided by 2754936?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 84. Let w = 50 - b. Which is smaller: -2\/7 or w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000000001 (base 2) in base 4?\nAnswer: 1120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 4.07. Suppose 185 = -9*t - 139. Let r be (-4)\/18 - t\/405. What is the smallest value in r, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9772409 millennia to centuries.\nAnswer: 9.772409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -637 in descending order.\nAnswer: -3, -5, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 7. Let j(v) be the second derivative of 13*v**3\/6 + 15*v**2\/2 - 7*v. Determine 9*c(q) + 4*j(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/4 - 25*p**3\/3 - 11*p**2\/2 + 8*p + 3. Let r be q(-15). Calculate the highest common divisor of r and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkpkpkkpkpnkkpkkkkkk. Give prob of sequence pkk.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 542660, 542661, 542662?\n\"Answer: h + 542659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:24 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7636604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1040055 - -3?\nAnswer: -1040052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*((61*p - 26*p + 25*p)*(0*p + 0*p - 3*p) - p**2 - 3*p**2 + p**2).\nAnswer: 732*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from klllkkkklkkkkl?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3544299?\nAnswer: 3, 11, 35801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**8\/1120 - 3*i**7\/280 + 19*i**3 - 55. Let l(r) be the third derivative of f(r). Let l(s) = 0. Calculate s.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 > -13\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2\/15*s**2 + 2\/3*s + 8\/15 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6298+72.4\nAnswer: -6225.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {z: 7, k: 5, m: 1, w: 1, f: 4, p: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860.76705 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by ((-2)\/8)\/((-24372)\/(-12192) + -2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 258?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) + (0 - (-213)\/12). Suppose 12*o + 30 = p*o. Solve 3*t - 13 = a, -a - 10 = -o*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -d, -d = d + 4*h. Suppose d*b = -109 + 125. Solve i + 0*f + 4*f = 3, 4*i + b*f = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218655536.\nAnswer: 2, 11, 1242361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = w - 68, 3*w = 8*w - 4*b - 292. Let k(y) = y**3 - 4*y**2 - 2*y + 4. What is the remainder when w is divided by k(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -624758335 + -0.14\nAnswer: -624758335.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h - 4. Let x = -2 - -8. Let s = x - 7. Let t = -3 + s. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 365560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 11:08 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-34)*((-16)\/(-2))\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 111. Let n be 0\/(20\/4) - (k + -2). Let z = n - 40. Solve 6 = -3*g + z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231a833 (base 12) to base 6\nAnswer: -400501303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 19 = -4*k - 3*t, k + 11 = 4*t. What is the common denominator of ((-34)\/(-2))\/(23 - k) and 9\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6*j + 50 = 0. Suppose 24*v = -i + j*v + 2, 0 = 4*i - 2*v - 16. Suppose -20 = -4*r + 24. Calculate the lowest common multiple of i and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 22*x**2 + 73*x. Let g be b(4). Suppose g*i = -5*w + 187, 0*i = w + 5*i - 29. What is the highest common factor of w and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1234 divided by -5\nAnswer: 1234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2\/5 + 477*u - 18888\/5 = 0?\nAnswer: 8, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 7. Give y(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:01 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 301321, 305284, 309247, 313210?\n\"Answer: 3963*h + 297358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 47 = -147. Let c = 96 - 170. Let d = c + 72. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**2 + 1 + u**2 - 3)*(-7*u + 4*u + u).\nAnswer: 4*u**4 - 6*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 5. Let d be p(-4). Factor -8*j + 2*j**d - 8*j - 16*j - 6*j**2 + 24*j.\nAnswer: 2*j*(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*l = -2624 - 3486 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -18 + -4 - -9) + (-7 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5260837 micrometers?\nAnswer: 0.0005260837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7499 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -302 (b) 85 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryryrr. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = -3. Which is smaller: -6\/5 or s?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -179 in -5, 4\/3, -1\/78, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1654 + -615a7?\nAnswer: -6303b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4823\/(-52))\/(-53)*(88\/49 - 2)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -14*p + 1080. What is the remainder when p is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 56*b**3 - b**2 + b - 1. Let o be a(1). Let y = -5 - 3. Let r = 30 + y. Calculate the greatest common factor of r and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*sqrt(70)*-1 + (sqrt(70) - (sqrt(70) + 3*(sqrt(70) - (1*sqrt(70) + sqrt(70)))))))\/(sqrt(810) + 3*sqrt(810)*1 + 2*(sqrt(810)*2 - sqrt(810))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 + -104. Let g be (-2)\/(-4) - a\/30. Solve g = -5*z + 7*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 33*j. Let q(t) = -33*t - 124. What is q(c(x))?\nAnswer: -1089*x - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -0.1. Suppose -9*t + 37 - 1 = 0. Let d be t - 6*8\/6. What is the closest to 0 in d, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144\/160 + -15 - 3007713\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 325\/231 - 16\/11. What is the third smallest value in -4, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1403 by -158.\nAnswer: 1403\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/48)\/(9\/27)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 73 = 4*k. Suppose -20*x + 74 = -18*x. Calculate the remainder when x is divided by k\/(-10)*(-52)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-8 + (-12 - (-2 - 4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 10:49 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138.21 + -139. What is m rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2. Let o(c) be the second derivative of c**5\/20 - 5*c**4\/12 - 4*c. Let s(z) = 5*f(z) - 3*o(z). Find a such that s(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 5*t + 46, -v - v - 4*t - 14 = 0. Let -7\/6*n**4 - 5\/2*n + 3\/2 + 7\/3*n**v - 1\/3*n**2 + 1\/6*n**5 = 0. Calculate n.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113119?\nAnswer: 3, 234791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - d + 8341, 3*d + 7102 = 3*t - 1223. Suppose -t = -4*m + 12277. What is m rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 3. Let b(u) = 2*u - 2. Let q(n) = -5*b(n) + 3*p(n). Suppose 0 = 3*s + 5 - 8. Let y(a) = a. Give s*q(h) - 5*y(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -822, -3319, -7480, -13305, -20794?\n\"Answer: -832*a**2 - a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**2*t**3 - 3*c**2*t + 31*c*t**5 - 5*c*t - c wrt t.\nAnswer: -48*c**2*t + 620*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11954 and 10536672?\nAnswer: 10536672.11954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-7)\/14*-1)\/(98\/(-14))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in 2, -1\/6, 0.36, 0.32, 20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/44*-1*2 and -29\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2319*v**5 + 9*v**3 - 29*v**2 - 2*v + 211 wrt v?\nAnswer: 139140*v**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911218.\nAnswer: 2, 7, 11, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256 + -255. Is p <= -8\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 3*d**4\/4 + d**3\/6 - 5*d**2\/2 + 35*d. Let u(v) = 5*v**2 - 3. Give 3*q(k) - 5*u(k).\nAnswer: 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.47. Let c = -0.318 + f. Let b = c - -0.137. Round b to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/15 - f**4\/4 + 6*f**2. What is the second derivative of l(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/4 - -5 - (3 + -12). Suppose -31*y + 29*y + 52 = 0. Solve -3*c - y = -j*a, -5*a - 5*c + c + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 5*q**2 + 3*q + 1. Let l = 12 - 7. Suppose -2*b = 5*d + 13, l*b + 0*b + 10 = -5*d. What is the remainder when s(d) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + k)*(-4 - 2 + 4)*(3*k**4 - 7*k**4 + 0*k**4).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2 - 20\/(-14) - (-295)\/210.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 - (-2 + 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120759, -241488, -362217?\nAnswer: -482946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + (-5 - -2) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40642? (a) -0.1 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*d + 822*d - 4006*d - 1670*d.\nAnswer: -4713*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -13557577?\nAnswer: -13557560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5809836106 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47849 times -39.22?\nAnswer: 57.9863778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2232 and -179\/3720.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -237?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + h + h - 6 = 0, 0 = -3*x - h + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(2100) - sqrt(21))\/(-2*sqrt(192) - sqrt(192) - sqrt(192)) + -4.\nAnswer: -7 + 21*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 t, and 1 u when four letters picked without replacement from {t: 3, z: 3, u: 2, b: 10}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5 = -3*i + 7, -21 = -4*i + 5*a. Let r be 1067\/(-33)*(i + -5). Suppose 3*t + 0*t = -5*y + 193, -5*y = 4*t - r. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*((1 - 1 - 3)*(o + 4*o - 4*o) - 6*o - 3*o + 2*o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Let a be ((-5)\/4)\/((-3)\/24). Let f = a + -2. Calculate the lowest common multiple of f and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2061 - -8966?\nAnswer: 11027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -90) + (11 - 37)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 42*t + 51 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -245.99999873 + 246. Round p to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -3863?\nAnswer: 193.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36255652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1612 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 at most 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 12:07 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14518351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 1 + sqrt(567) + 0 + -1 + sqrt(7).\nAnswer: 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49262763 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 25013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-2 - 3 + 2)*((4*w**2 + w**2 - 6*w**2)*(w - 6*w + 3*w) - 3*w**3 - 5*w**3 - 3*w**3).\nAnswer: 54*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b - 439*b + 54574 = 1490*b + 135*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*t - 4. Let d = 13.83 - 14. Let s = d + 0.17. What is the second biggest value in -1\/7, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 b when four letters picked without replacement from ececfffcecbce.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y + 4. Let z(w) = 100*w + 32. Let n(k) = 8*x(k) - z(k). Let a(d) = 826*d**2. Determine a(n(q)).\nAnswer: 13216*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*h - 439, 3*h + 2*d + 43 + 220 = 0. Let n = -59 - h. Suppose 4*k = 8*k - n. What is the remainder when 53 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/(-21))\/((-3)\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.2, -0.02, -10\/9, -76?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 371*o - 23 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coeleo. Give prob of sequence eoe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -113, -2152, -5551, -10310, -16429, -23908?\n\"Answer: -680*k**2 + k + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13*r**3 + 9*r**2 + 9*r - 5. Let l(a) = -3*a**3 - 2*a**2 - 2*a + 1. Calculate 9*l(c) + 2*m(c).\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24474.3 + 24474. What is the third biggest value in t, -0.4, 268?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4167 * 940.\nAnswer: -3916980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12 - 44 = 3*c, -5*c = f - 12. Suppose -30 = 4*i - f*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 209 + 17. Let h = p - 88. Solve 3*q - h = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/20 + 3*a**4\/4 + 11*a**3\/6 + a**2 + 1073*a. Determine g(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3118*m. Let o(x) = x - 258. What is o(t(w))?\nAnswer: 3118*w - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 5*t - 4*t - 4*t + 0*t + 2*t + (2*t - 3*t + 0*t)*(-6 + 4 + 3) + (1 + 2 - 1)*(-4*t - 11 + 11 + (0*t - t - 2*t)*(9 - 7 - 14)).\nAnswer: 57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 36. Let v(i) = 4*i - 15. Let d be v(4). Let z = w + d. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192) - (sqrt(192) - (sqrt(192) + 1))))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10433255 (base 6) in base 11?\nAnswer: -1a61a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b91 - -d?\nAnswer: 6ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3512?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5*6\/470*(-145)\/435?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = w + s + 30, 40 = -3*w - s for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/33*24\/(-16).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84803351.\nAnswer: 84803351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303739 = 7*m + c, -m + 3*c = 7402 - 50787. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24 (b) 56 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 + (4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/9*2\/(-8). Let n = 4\/3 - f. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 0) + 2 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 48030.444 to the nearest one thousand.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 5*u**2 - 3*u + 4. Let v be y(-4). Suppose v = r - 2*r + 4. Suppose -b = -w + 32, 5*b + 128 = r*w + 2. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcccpccc. What is prob of sequence pp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -7987?\nAnswer: -31948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124852 is divided by 949.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-6))\/(2\/(-6)). Let d = q - -18. Suppose -h + d = -0*h. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -40*v**2 - 167*v - 26. Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-785.297\nAnswer: -785.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 2. Let s be t(0). Suppose -2*q + 33 = 3*k, -6*q - 38 = -s*k - 2*q. What is the remainder when 34 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - (-56)\/10. Let g(w) = 30*w - 2 - 5 - 26*w + 3*w**2 - 2*w**2. Calculate the remainder when g(h) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-5)*m*(m*m**(-2\/13)*m)\/m)**37\/(m**0\/m**(-1))**(-1\/6) assuming m is positive.\nAnswer: m**(25543\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -147. Let v = -88 + u. Calculate the greatest common divisor of v and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 11*f**2 - 66)*((1 + 0 + 0)*(-3 - 2 - 5)*(2 - 3 + 0) + (0 - 3 + 2)*(-4 + 0 + 6)).\nAnswer: -88*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 39*x**2 + 138*x + 144.\nAnswer: 3*(x + 2)*(x + 3)*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-7))\/((-98)\/(-19208)*-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 - 4*s**2 + 4. Let p(y) = -5*y**3 - y**2 - 4*y - 3. Let a(t) = 4*t**3 + t**2 + 3*t + 2. Let g(x) = 4*a(x) + 3*p(x). Give -4*g(o) - n(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 8. Suppose -5*q - 5*y + 3509 + 5261 = 0, 4*q + l*y - 7012 = 0. Let b be (-2)\/(-4) + q\/16. Calculate the greatest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:20 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2339 + 2351. What is the greatest common divisor of 228 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 2}. What is prob of sequence qq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u - 4 = -76*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 26*s - 22. Let u be x(17). Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in 2\/7, 0.009, -3.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 5. Suppose -z + h = z. Solve 0 = 3*d - z*q + 6 + 2, 2*d = 3*q - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 22 (b) 3 (c) -35\/57 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f - 8. Let a be g(10). Let t be (-26)\/(-42) + 6\/a. Factor -4\/7*d**2 + t - 2\/7*d.\nAnswer: -2*(d + 1)*(2*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 426 + 1049 - b**2 - 4*b + 3*b - b**3 + 641 as m*b + p*b**2 + c + a*b**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s. Let m(j) = -12218*j. What is m(c(p))?\nAnswer: -36654*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3655 times -6485\nAnswer: -23702675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1684.3 rounded to the nearest ten?\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11783675?\nAnswer: 5, 61, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -164150.3 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 16) to base 13\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {w: 1, l: 7, v: 6, s: 2, k: 2}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -0.02867?\nAnswer: -0.02867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 1 + 6 = 2*l, -32*c + 77*l = 81*l - 804 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -88. Differentiate -j - r + 28*j + 3 wrt j.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 - -15 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 115?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25693363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/(31\/168 - (-5)\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -20?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6381 + -5966?\nAnswer: -5961.3619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*b, 4*f + b - 7 = -10. What is the hundreds digit of ((-31)\/(-31))\/(f\/(-523))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 832680*w - 34667799120.\nAnswer: -5*(w - 83268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2946 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 48*j**2 - 103*j - 145. Let h be r(-50). Solve -4*p + 28 = -2*u, u + h*p = 2*u + 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 20*a - 42 = 0. What is the second derivative of 81*r**a + 48*r**3 - 2 - 19*r**3 - 2 - r**2 + 0*r**2 + 18*r wrt r?\nAnswer: 660*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-1)*(8 + -9). Suppose 7*c = h*c. What is the tens digit of (c - 0) + (-124)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443500277.\nAnswer: 11, 29, 1390283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 6. Let g(f) = -f**2 - 8*f. Let r be g(-7). Suppose l - r*l - 24 = 0. Let c be k(l). Sort c, 3, -3, -5 in descending order.\nAnswer: 3, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -34, -56, -102, -178, -290, -444?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*x**3 - 9*h*x**2 + h*x - 241*h + 16*x**3 - 10*x**2 - 6*x wrt x?\nAnswer: 18*h*x - 18*h + 96*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -339624.\nAnswer: -339618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f + 0 + 0)*(-f - 4 + 5 + 0) to the form g*f**2 + v + m*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165320966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/45*243\/(-2268)*14\/16.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 = -78*z - 2 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -9, -2, -8 in increasing order.\nAnswer: -9, -8, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370399 - r**2 + 183808 + 183863.\nAnswer: -r**2 - 2728","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 3*t**3 - 3*t**2\/2 - 3*t - 7. Let z be b(-1). What is the second derivative of 4*r + 9*r**2 + 0*r + 10*r**3 - z*r**2 wrt r?\nAnswer: 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 8*b + 12. Let v be f(-11). Let l be 2 - ((4 - 1) + v). What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1958150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 13, e: 2}. What is prob of picking 3 e and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 427 and 1594601?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g + 8. Does 14 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/19, -70.3, 2, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*r**3*t**5 - 2*r**3 + t**5 + 3*t + 2 wrt t?\nAnswer: 400*r**3*t**3 + 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 7*m**2 - 7*m**2)*(15 + 4 + 0).\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -251\/285596?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 + 12 = 0. Suppose -d*r = 3*v + 22 - 70, 2*r + 3*v - 30 = 0. Sort 3, -2, r.\nAnswer: -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -2*d, 4*j - 3*d = -0*d + 3. Suppose 4*x - 4*c + 7580 = j, -6*c = x - c + 1925. What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 819 = 4*z - 7*m, 0 = 3*z - 4*m - 616. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -4\/165*s**5 + 1\/44*s**4 - 1\/30*s**6 - 6\/385*s**7 + 0 + 2\/33*s**3 - 5\/1848*s**8 - 2*s**2 + 0*s. Find b such that j(b) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 46. Calculate the remainder when ((-546)\/30)\/(22\/(-220)) is divided by c(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 558, 22138, 2, 5, 4, -1 in decreasing order.\nAnswer: 22138, 558, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 740 and 74.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 12*p**2 - 21*p - 14. Let x be r(-10). Let w be -3*((2 - 0) + x). Suppose 0 = o - 2 - w. Solve t + 3*t = -o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 divided by 194.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-27) - 3160\/3960. Let r be (-80)\/(-3) + 2\/(-3). Which is the third biggest value? (a) z (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9494\/19435 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170\/7 or -1\/8?\nAnswer: 170\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*o + 97*o + 8. Suppose -3*i = s + 3*s - 2, i = 3*s - o. Solve s*f + 5 = 3*b, f = b - 3 + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 3*p**3 + 0*p**2 + 0*p**2 + 0*p**3 as a*p**2 + k*p + r*p**3 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 1\/5 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337.5672s to microseconds.\nAnswer: 337567200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6675, 6829, 7075, 7401, 7795?\nAnswer: 8245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, -60001, 7?\nAnswer: -60001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13279 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 5*r**3 + 2*r**3 - r**4 + 5*r + 114 - 113 as b*r + n*r**2 + f + w*r**3 + z*r**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3061055 kilograms?\nAnswer: 306105500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848244317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(102) - (sqrt(102) - (-1*(sqrt(102) + -5*sqrt(102)) - sqrt(102))))\/(2*sqrt(600)) + 5)**2.\nAnswer: 27*sqrt(17)\/10 + 32553\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*i + 14 = 0. What is the third derivative of 14*a**2 - a**2 + i*a**5 - 7*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, -4, 9, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 145 = 13. Let d = p + 69. Solve -5*s + 2*r - 17 = 0, s - 2*r + d = -7*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 35, 48, 77, 128?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:09 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 205 + -620\/3. Let r(z) = -20*z**2 - 20*z - 3. Let s be r(-1). Are g and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {t: 2, j: 1, b: 1, m: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 204453?\nAnswer: 204502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 48?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 55*s + 38. What is d(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2 + 1092*b - 6624 = 0?\nAnswer: -552, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240 and 930?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*x + 7. Let v be -1*x - (12 - 13) - -3. Factor 4\/9 + 0*y**v - 2\/3*y + 2\/9*y**3.\nAnswer: 2*(y - 1)**2*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1710259725 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -222920 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Calculate the remainder when 12 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 2*c**3 + 9 - c + c + c**3 - c**2 + (10*c**2 - 14*c**2 - 15*c**2)*(2*c - 4*c - 8*c).\nAnswer: 189*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -0.3, -3, 24 in increasing order.\nAnswer: -3, -0.3, -0.2, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7266, 4, 1 in decreasing order.\nAnswer: 7266, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/72 and -79\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1054377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 56. Let k(j) = -j + 5. Suppose 4*t - 3*t - 2*o = 0, 3*t = -5*o. Let g be k(t). What is the third smallest value in g, 0.2, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 651, -9, -4, -8, -3, 2, 58 in descending order.\nAnswer: 651, 58, 2, -3, -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.565 - 24117716853.\nAnswer: -24117716853.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 3*v**5\/100 - 3*v**4\/5 + 70*v. Factor f(n).\nAnswer: 3*n**2*(n - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 348808, 697647, 1046486, 1395325, 1744164?\n\"Answer: 348839*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 - -252. Calculate the greatest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778191012 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - 2*s + 3*s)*(92 - 4*s**2 - 92) + 0*s**3 + 3*s**3 + s**3 in the form t + q*s + h*s**3 + p*s**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/(-2) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 36, 5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196*g**5 - 253*g + 253*g)*(-2 + 1 - 3).\nAnswer: 784*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x**4 + 5722*x**3 + 2*x**2 + 5*x - 267 wrt x?\nAnswer: 96*x + 34332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 13. Let t(v) = -v**3 - 2*v**2 + 3*v. Let r be t(2). Let u be q(r). Find the third derivative of 2*a**4 - u*a**2 + 4*a**2 + 0*a**4 wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 169*d\/2 - 52095\/4.\nAnswer: (d - 453)*(d + 115)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5265 divided by -2?\nAnswer: -5265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-8))*(w**(-2\/15)*w*w)\/w*(w**2)**(-10))**(7\/5) assuming w is positive.\nAnswer: w**(-2849\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 7 + 5*i**2 + 3 + i**3 - 3. Let b be c(-5). Suppose a = -b*k - 10, 0 = 2*a + 2*k + 8. Put -2, -4, a in decreasing order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -1 - 5. Suppose -t*z + 0*q + 2*q + 22 = 0, 2*q - 44 = -4*z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 14, 6, -2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1\/30*u**5 + 1\/120*u**6 + 4\/3*u**3 + 0*u + 0 - 7*u**2 - 1\/6*u**4. Solve d(n) = 0 for n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/5))\/u**(-7))**(-12\/7) assuming u is positive.\nAnswer: u**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**41\/(v**0)**33 assuming v is positive.\nAnswer: v**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23938720 by 88010.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-90)\/(-27))\/((-2)\/(-3)). Suppose q + 5 = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 + 3 - 6) + (34 - 21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - -2) - (-100 - 2 - 17).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.6 + 9. Let g = -4.6 - -4. Let q = h + g. What is the third biggest value in -0.4, q, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20483536 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:50 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115397049 divided by -38465683?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -2) + 0 + -6 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*r**2 + 1236*r**2 + 75*r**2 to v*r**2 + u*r + l and give v.\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + -11 - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.785 (b) 1.04 (c) 88\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10081009 to the power of 1\/2, to the nearest integer?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224 divided by -6?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*l + 242*l + 298*l - 1008 = 778*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*3\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 8. Let q be ((-8)\/(-6))\/4*3. Suppose -5*h - q = 19. Does 2 divide j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -6.1. Suppose -2*f + 3*a = 13, a = -3*f + 6*a - 22. What is the second smallest value in n, f, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 10*l**2 + 8*l - 3. Let r be p(-7). Suppose -8*g + r = -4*g. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 241060.3 hours?\nAnswer: 867817080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61384.98 to the nearest 100.\nAnswer: -61400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*x + 2 = 0, -365*w + 363*w = -x + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + o + 1. Let j be (-2)\/1 + 0\/(-4). Let b be (-1 - 3\/(-2))*j. Let c be l(b). Which is bigger: c or 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 - s - 2. Let f be c(-2). Suppose f = 2*b - 49 + 1. Calculate the highest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1048)\/1179)\/((-8)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -4 (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -5, 5, 3, 69, 446 in increasing order.\nAnswer: -5, 0, 1, 3, 5, 69, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6962*l + 699148 - 149150 = 0 for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13744?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6 + 6. Let i(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 3*p - 2. Is i(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 28*q - 88. Let x be o(-31). Calculate the highest common factor of 1165 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -2\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-59 - -54)\/(-24 + -1))\/((-6)\/(-45)). Solve n*k**5 + 1\/2*k**3 - 4*k**4 - 2*k + 4*k**2 + 0 = 0.\nAnswer: -1, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 335. Let c be (-8)\/(-14) + 6 + v\/35. What is the third smallest value in -1\/8, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**4 + 26031851*t**3 + 120682*t**2 + 13*t?\nAnswer: 48*t + 156191106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*u + 4 + 3*u**2 - 4.\nAnswer: 3*u**2 + 257*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11193 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 3. Let o(u) be the second derivative of u**5\/20 - 17*u**4\/12 - u**3\/6 + 6*u**2 + 40*u. Let m be o(17). Calculate k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + (sqrt(17) + sqrt(68)*-2 - sqrt(136)\/(sqrt(8) - sqrt(32))))*-2.\nAnswer: 9 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24756 minus -129?\nAnswer: 24885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + i**2 + 3*i + 1. Let g be j(2). Sort g, -4, -3 in ascending order.\nAnswer: g, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/126*(-21)\/(-14)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgu when four letters picked without replacement from busuzzsg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + (18 - 6 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-310)\/(-90) + (-4)\/9. Which is the nearest to 0.1? (a) s (b) 3\/7 (c) 0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1602*b**2 - 964*b**2 - 790*b**2.\nAnswer: -3356*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 2*f + 9. Let b be o(-5). Let u be (-2)\/5 - b\/(-60). Find the second derivative of 4*w**5 + 4*w + 15*w**5 - u + 2 wrt w.\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*p + 187, -3*c + 0*p + 3*p + 180 = 0. Let r = 90 - c. Let q = -59\/2 + r. Which is bigger: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - 2*i)*(-5*i**2 - 5*i**2 + 0*i**2) + 42*i - 25*i**3 + 49*i**3 - 26*i**3.\nAnswer: 18*i**3 + 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 197.40745?\nAnswer: 197.50745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7b9bb (base 14) to base 6\nAnswer: -10241345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 748, 1495, 2242?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/3 + p**2 - 4*p + 4. Let o be f(-4). Suppose -n = -5*n - 12, o*n + 32 = 2*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = 8*q. Let x be -2*q\/16 - 3\/4. Let l(w) = 3*w**2 - 3*w. Let h(j) = j. What is x*l(n) - 4*h(n)?\nAnswer: -3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 0.06 (c) 56683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 9*g**2 - 3*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 22*r - 159 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9134701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44014761845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*k**2*w + h*k**2 - h*k + 23*h*w - 2*h - k**2*w + 744*k**2 - 258*w wrt h.\nAnswer: 3*k**2*w + k**2 - k + 23*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.4. Let u = -8 + 8. What is the nearest to -2\/9 in u, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 42*a - 35. Let l = -12507 - -12508. Calculate g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 64.9724. What is o rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a7b7c49 - 0?\nAnswer: 3a7b7c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.02 + -0.02. Let c = r - 3. What is the closest to -0.1 in c, -0.5, -5\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 17. Let d be y(-11). What are the prime factors of (-2)\/(-5)*1*d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*h + 75, 0 = 4*p + 5*h - 9*h + 116. Which is greater: p or -335\/16?\nAnswer: -335\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45.519619 and -2.1872555?\nAnswer: 47.7068745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*g + 1552 = 0, -g + 2562 = -5*l + 598. Let q = -216 - l. What is the highest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 10*r + 17. What is the remainder when q(10) is divided by 7*(4\/(-2))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 + 0 = -2*m, k = 4*m - 17. Let z = 132 - -547. Let q = -677 + z. Which is the fourth smallest value? (a) 0.1 (b) q (c) 5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/99 and 43\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2515 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 0 + -1 - (-2)\/(-1). Differentiate 32 + 21*j**2 - 4 - 21*j**u + 10*j**4 with respect to j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from nnyyyllnnyyayy?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q + 4655 = 5782 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/6637 + 245635\/146014. What is the common denominator of 23\/94 and i?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrrqrfqqrr. Give prob of picking 3 r and 1 q.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 141?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -24*o**4\/5 - 784702*o**3\/5 - 6412535408*o**2\/5 + 5239468680*o - 427716000 = 0.\nAnswer: -16350, 1\/12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 72, 77, 82, 87, 92?\n\"Answer: 5*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 7314*u + 7317 = 0.\nAnswer: -1, 2439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t - 1. Let n be a(-1). Calculate the common denominator of ((-2)\/n)\/((-45)\/54) and 47\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/10 - 1\/30. Which is the smallest value? (a) -4 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - 7637\/(-63). Suppose -5*s + 0*s = 4*p - b, 2*s + 142 = 4*p. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssskksskksksskskkksk. What is prob of picking 2 s?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -465.66692592206 + -60377395.33319207794. Let r = 60377764 + b. Let o = r - -97. What is o rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2 - 6*z = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 11}. What is prob of picking 2 z?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2964 + -2911. Solve -30*t - 7 = d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228531 divided by 7.\nAnswer: -228531\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/28 + 2*c**3 - 1476*c. Factor b(y).\nAnswer: -3*y*(y - 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*y - 56 + 13 - 30*y - 138 in the form a + k*y and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1550.9 + 1441. Let k = s - -105. Let b = -0.1 + k. What is the smallest value in b, -0.4, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:03 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 9:26 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249750600 divided by 44.\nAnswer: 5676150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -221 or -9565\/43?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 390 - 40. Suppose -3*j + d = -262. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-113 + 6)*(-1)\/(-2))\/20 and 81\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13819814.426 to the nearest 100000.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3003404466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 134\/155, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l. Let u be f(-1). Suppose 3*c = -a - u*a + 162, 0 = 2*c - 2*a - 92. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/120 + (17192\/(-1785) - -10)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - 3*m + 3*m + (-2 - 2 + 2)*(-2*m**2 + m**2 - 2*m**2) - 1078*m**2 + 532*m**2 + 541*m**2)*(0*m + 2*m - 4*m) as f*m**2 + x*m + c + z*m**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d + 16, -4*w + 5*d - 28 = 0. Let f be (w\/(-4))\/(-1 - (-10)\/8). Solve 4 = -2*h + f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2. Let r(c) = -42761826*c. Let l(g) = 5899*g. Let n(a) = -57990*l(a) - 8*r(a). Give f(n(q)).\nAnswer: -269027208*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15222480 a multiple of 7462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h. Let t(n) be the third derivative of 2*n**2 + 0*n**3 - 7\/24*n**4 + 0 + 0*n. Calculate -11*t(f) - 6*z(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(5 + 1 - 4)*((3 - 4 + 3)*(s - 3*s + s) - 4*s + 5*s + 0*s) + 21535*s - 6950*s + 5027*s to the form u + j*s and give j.\nAnswer: 19614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*x - 5879, -4*f + 38*x + 4687 = 41*x. What are the prime factors of f?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 19, 22, 29, 40?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) 1\/7 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 1402*i + 2812. Calculate b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100 + -10?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 542499582.4 rounded to the nearest one hundred thousand?\nAnswer: 542500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*f - 13, 4*f + 7 = -0*f + d. Which is the closest to f? (a) 0.1 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddddddg. Give prob of sequence gdd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhlzzzzlzzhhhz. What is prob of sequence zllh?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let g(n) = -n + 18. Let v be g(13). Solve -f*r - 6 = i - r, -5*i = -v*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y. Let z(a) = -a - 2. Let q be z(-5). Let b(f) = -6*f - q*f + 6*f + 2*f. Determine t(b(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74450, 75087, 75734, 76397, 77082, 77795, 78542?\nAnswer: 79329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2770 and 341.\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -660678.89*0.4\nAnswer: -264271.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19662540 divided by 3.\nAnswer: -6554180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/4 - 857*m\/4 + 1065 = 0.\nAnswer: 5, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((((-2)\/1)\/(-38))\/(177\/(-59))).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w. Suppose 3*b = -w*b + 12. Is b less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + l = 1144, -3*i + i + 766 = -l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61874, 125239, 188618, 252017, 315442?\nAnswer: 378899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 869?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -323, -275, -227, -179, -131?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 32397 + 25767 = -5852. What are the prime factors of y?\nAnswer: 2, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*i**2 - 3*i**4 + 0*i**4 - 109*i**2 + (3 - 2*i**2 - 3)*(-i**2 + i**2 - 5*i**2).\nAnswer: 7*i**4 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by -10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t + 9. Let k be j(-7). Suppose 1 = -3*u + k*u - 3*z, 21 = 3*u - 3*z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in hours?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 356760900 to the power of 1\/2, to the nearest integer?\nAnswer: 18888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 80*m + 14. Let g(o) = -245*o - 45. Let v(j) = 3*g(j) + 10*p(j). Let r(a) = -13*a - 1. What is 11*r(f) + 2*v(f)?\nAnswer: -13*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1603062, -1602384, -1601254, -1599672, -1597638, -1595152?\n\"Answer: 226*x**2 - 1603288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*j + 7 = 0, 3*j = 5*t - 2 + 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l - l**3 - l**2 + 0*l**3 + 52*l.\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 12. Let r be 3134\/a*(-6)\/(-4)*-1. Suppose -3*z - 515 = -3*n + 2*n, -r = -3*n - 2*z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26480, -52955, -79430?\nAnswer: -105905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53\/(-3) + -5 + 5. Suppose 2*m + m + 45 = -3*a, -3*m + 2*a = 65. Let c = m - t. What is the closest to 1 in 0, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -37, -53, -69, -85?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 8*n + 5. Give c(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677*m**3 - 20 + 21 - 5*m**2 + 225*m - 225*m.\nAnswer: -677*m**3 - 5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 10*x + 12. Determine k(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 424*a**2 + 869*a - 29. List the prime factors of i(7).\nAnswer: 2, 5, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000081902316 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the product of 4 and 882?\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1448352, -1448351, -1448350, -1448349, -1448348?\nAnswer: -1448347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -13124, -5, 4 in descending order.\nAnswer: 4, -5, -194, -13124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2200*a = 2255*a - 495 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*p - 2*j + 4, 10 = 2*p + 4*j. Let t(n) be the first derivative of -1563*n**2\/2 - 2*n - 360. Is t(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 9, u: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 - 5*g + 9. Let y(m) = -5*m**2 - 4*m + 9. Let h = 15 - 19. Calculate h*j(f) + 5*y(f).\nAnswer: -f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 33. Let x be 4\/18 - h\/18. Is 41 - (-1 - x - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 3*t + 2. Let s(j) = -j**2 - 2*j. Let w be s(-3). Let g be b(w). Let f = -23 - g. Solve -4*y = 5*c + f, -2*y = 3*c + 4 + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 - 3907*x + 11653. What is y(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(28) + 4 - (sqrt(112) + -1)) + -3 + sqrt(7)*1*-6).\nAnswer: -40*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + c - 6629, -4*y - 3*c = -2*y - 4424. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(704))*-5 + -3*(sqrt(704) + (sqrt(704) - (sqrt(704) + 4))))*3)**2*5.\nAnswer: -11520*sqrt(11) + 2027700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1168*y**3 + 2*y**2 - 17*y - 9. Is t(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -8134?\nAnswer: -8137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.91596 grams in tonnes?\nAnswer: 0.00002691596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 804*k**2 + 28700*k - 27900.\nAnswer: 4*(k - 155)*(k - 45)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*i - 3*i + 129 = 0, -120 = -2*a - 2*i. Suppose 0 = 3*j - 7*f + 12*f - a, -2*f = -3*j + 78. Solve -4 = j*q - 25*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 1095*r - 1096*r - 8, -5*r = -3*q - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11 + 8\/11*i - 2\/11*i**2.\nAnswer: -2*(i - 3)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -53*z**3 - 7*z**2 + 4. Let i(x) = -x**3 - 1. Calculate 4*i(v) + j(v).\nAnswer: -57*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 770882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161986 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - 938\/70)*((-34)\/10 + 3). Let h(q) be the first derivative of -c*q**5 + 0*q**4 + 2 + 0*q**3 + 0*q**2 + 0*q - 1\/15*q**6. Factor h(o).\nAnswer: -2*o**4*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 15*c + 810 = 0. Let o be c - (-6 + 24)\/(-6). Is -267 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 52 = 3*v - 32, -v = 4*l - 281. Let y = 50 + -32. Calculate the remainder when l is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 0 - 5 + 24*x**2 to the form c + u*x + l*x**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*h - 4*h. Suppose 2*o - a - 124 = -3*a, -h*o = -2*a - 128. Suppose 0*m - o = -m. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18567493 greater than or equal to -18567493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 11. Let x(o) = -3*o - 32. Let n(j) = 8*q(j) + 3*x(j). Let f be n(-6). Let g = -0.68 - -8.68. Is f not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + r = -2*r + 4, 0 = 4*y - 4*r + 8. Let t(h) = -h**3 + 13*h**2 - 2*h + 14. Let a be t(13). Let j be 3 + -4 + a\/(-3). Solve y = -n + j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271734, 543467, 815200?\nAnswer: 1086933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 60, -0.2?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5, 2*i + 0*i = 2*h + 6. Let r = 28 - 26. Suppose -n + 3*n = i, r*n - 98 = -5*k. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*b - 44, 262*j - 70 = 257*j + 5*b. What is the remainder when 246 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 2*v - 3*v + (5 - 5 - 3*v)*(-1 + 2 - 3) + 5*v + 0*v - 2*v)*(-4*v + 3 + 1 + 3*v) as a + r*v + i*v**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - z = -2*a, 0 = 3*z. Let c(w) = 2*w**2 + 230 - 236 + w - w**2. Determine c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 18, -0.1, -0.02.\nAnswer: -2\/5, -0.1, -0.02, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 90*f + 1023. What is j(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)*h**4\/h)\/((h**4\/h*h)\/h*h*h\/(h*h*h**(-2\/17))) assuming h is positive.\nAnswer: h**(-25\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37155 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3, -23 in ascending order.\nAnswer: -23, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/935094115?\nAnswer: -1\/935094115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 8*q. List the prime factors of (0 - -405)\/5 + q\/(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/4 - w**4\/2 + 7*w**3\/4 - w**2 = 0. Calculate w.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - -199) + 3 + 0. Let u be 3\/2*z\/24. Suppose x + 5 = b - 2, 3*b = -x + u. Solve 3*i + 0*i - 2*l - b = 0, 3*l = -4*i + 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*2.42601\nAnswer: 16.98207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/7 (b) 2\/29 (c) 3\/8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 167*y**2 - 2*y + 3. Does 25 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**3 + 3*r**2 - 5*r - 10. Let s be k(-3). Let j be (-3)\/(-2)*-2 - s\/(-17). What is the highest common divisor of j and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 19*t**2 + 17*t + 24. Let p be q(18). Suppose -p = -3*m + 12. Solve 2*a = -2*j + m, 8 = -3*j + 4*a + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 7\/((-147)\/(-189)) + -63.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -136, -5, -24, 36, -4 in decreasing order.\nAnswer: 36, 2, -4, -5, -24, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295101104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*m - 1750*m - 1559*m - 9688 = 26842 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 minus 27.51?\nAnswer: -98.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j**3 + j + 1. Give y(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918969789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 20 = 5*t. Let r(u) = u + 7. Let d be r(t). Suppose -4 = 4*h - 4*i, -4*i + 11 = h + d*h. Solve 5*w - h = -2*f, -w = -2*f - 2 - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + (-10 - (-11 + 6 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 14, 24, 50, 98?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14021873473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1280 + 1374. Calculate the remainder when 140 is divided by q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d - 1. Let t(g) = -1 + 9*g - g - 4*g. Let l be (21\/(-9))\/((-1)\/(-3)). Give l*t(k) + 6*n(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21410085.\nAnswer: 3, 5, 61, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/11 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2)\/n)\/n)\/(n*n\/((n*n*n*n**(-2))\/n*n*n)))\/(n**8\/n*n*n*n\/(n**(-6\/7)\/n)) assuming n is positive.\nAnswer: n**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - -2) - 0 - (-21 + 45 - -121)\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426 - -428. Factor 16 + 5*t - 22*t**3 + 41*t**3 + t - t**2 - 18*t**3 - 8*t**p.\nAnswer: (t - 8)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrkkgrggnglgg. Give prob of picking 3 g and 1 k.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -470997*q**6 - 6*q**2 + 9588*q wrt q?\nAnswer: -56519640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:15 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 + 32\/20. Suppose 4*c = z - 19 - d, -c - 3 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337.92 - 336.52. Let u = 1.8 + -2. What is the second smallest value in o, 4, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3292, 6586, 9882, 13180, 16480, 19782, 23086?\nAnswer: 26392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80)\/sqrt(90) + -3 - ((sqrt(80) - sqrt(80)*-2)\/sqrt(5) - sqrt(16))\/(sqrt(8) + (1*sqrt(96))\/sqrt(12)))**2.\nAnswer: 2*sqrt(2) + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 0.3, 628\/91, -4125, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 4*w**2 - 8*w. Calculate z(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = 102*r - 55*r. Calculate the remainder when 1231 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -18*c**3 - 34*c - 26*c - 36*c + 25*c**3 - 30*c + 112*c - 14*c**2. Let k(x) = x**2 - 4*x - 4*x + 3*x + 6*x. Give -a(d) - 14*k(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1216 and -33\/304.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/2 - 2*q**2 + q\/2 + 3 = 0 for q.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 242138 divided by 95?\nAnswer: 242138\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/(-12) + (-1)\/(-2). Let s(b) be the first derivative of -b**4\/4 + 2*b**3 - 3*b**2\/2 + 5*b - 37. Give s(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + 15500. Let p be x(0). What is p rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 20*p = -376. Let d = 103 - p. Solve 0*b + 2*y + d = 3*b, 4*y = -3*b + 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1729223 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 34 and 43978\/1325 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -136786.\nAnswer: 1\/136786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -5 - (-2 - 1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + g - 127 = -10, -2*i = g - 79. Calculate the remainder when 1251 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103633830?\nAnswer: 2, 3, 5, 97, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(7 - (6 - -13))\/1. What is the highest common factor of 2760 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 0*r**3 - r**5 + r**5 - 4*r**5 + 4*r**5 + (-2 + 2 + r**2)*(-4*r**3 + 1646*r**2 - 1646*r**2) + 255*r**4 - 3*r**5 - 118*r**4 - 129*r**4.\nAnswer: -7*r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3764.5+-11768635.3\nAnswer: -11764870.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 4*u**2 - 8*u + 5. Let j be w(5). Let q = j - -32. Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -1\/8, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*l + 4 = 0, -b - 3*b - 5*l = 10. Let p(w) = w - 2*w + b*w. Suppose 0 = -3*s + 6*v + 72, s + 1142*v - 1146*v - 44 = 0. Calculate p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from gweeeggggge?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 2 + -1*22. Let x be n\/6 + -4 + (-69)\/(-18). What is the common denominator of 61\/8 and x\/(-2)*((-79)\/(-30) + -2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1660, 6637, 14932, 26545, 41476?\n\"Answer: 1659*o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 3*w - 5 - 2*w - 3*w**2. Let y be z(-2). What is the highest common factor of 52 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1\/1 - 0. Let o = 1785.9 + -1786. What is the second biggest value in k, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -6)*(66\/(-12) - 1). Solve -51 = -18*o + n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(352) + sqrt(352))*3)\/((sqrt(16) + sqrt(32)\/sqrt(2))\/sqrt(2)) + 3*(6*sqrt(891)*-2)**2 + -1.\nAnswer: 384911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2106.1 + -2106. What is the third biggest value in 49, b, 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 6. Let x(s) = -5 + 5 + 2*s**w. Let g(k) = 10*k**2. Let j(m) = -5*m**2. Let u(t) = -4*g(t) - 7*j(t). What is u(x(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 38*r**2 + 305*r + 300. Calculate z(45).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926514.9kg to nanograms.\nAnswer: 926514900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.863730771 to three dps.\nAnswer: -2.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 smaller than 315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/2 + 105*n**4\/2 - 7443*n**3 - 7751*n**2 + 75237*n\/2 - 44955\/2 = 0. What is n?\nAnswer: -185, -3, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-321586*i + 636272*i - 326657*i)*(-1 + i**3 + 1) to the form o*i**2 + v + m*i**4 + n*i**3 + q*i and give m.\nAnswer: -11971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xujx when four letters picked without replacement from xsulxsfxfjflffx.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -3*y**5\/70 + y**4\/42 + 13*y**2. Let t(j) = 0. What is j?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 + 205. Calculate the remainder when 22 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 668 - 1343 + j**2 + j**2 + 675.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111001100000011 (base 2) to base 13.\nAnswer: 7bb77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -y - 12, 0 = 2*m - 0*m - 5*y + 12. Let f = -6.3 + 8.3. Which is the smallest value? (a) f (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = -4*q, 0 = q + 4*q + 10. Suppose 0 = -c + 3 - l. Solve 3*n - 23 = -2*v, 2*n = -n - c*v + 27 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*y. Suppose y*h + 0*h = 12. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbb when four letters picked without replacement from {t: 7, b: 12}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 - 3*f**2 - 2*f - 2. Let b = -57 - -48. Let w(x) = 11*x**3 - 5*x**2 - 5*x - 5. Let n(g) = b*m(g) + 4*w(g). What is the tens digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7710234 (base 9) to base 13\nAnswer: -b1c619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-2 + 2 - a) + 12*a + 51*a + 65*a + 73*a.\nAnswer: 198*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(2299))*4 + 0)**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((6 - -3) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-4))\/((-15)\/200). Let z be (9\/(-3))\/((-18)\/s). Suppose -z*v + 168 = v. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.181 and 0.2713.\nAnswer: -0.0491053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3 and -111\/24370?\nAnswer: 73110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 32*y + 38*y = 2280 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -945*q**4 + 3035*q**3 + 1690*q**2 - 12140*q + 8360 = 0?\nAnswer: -2, 1, 2, 418\/189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18 + 1)\/((-196)\/84).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629812?\nAnswer: 2, 19, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*d**2 - 21 + 22 - 20 + 38 - 19.\nAnswer: -350*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154678558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 40. Let c be a(-18). Suppose 4*y + 5 = c*p + 3*y, -10 = p + 2*y. Suppose p = -3*b - 2*s + 1319, 3*b - 1314 = -0*s + 3*s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxbxbx. What is prob of picking 3 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12)\/((d*d\/(d**30\/d)*d)\/d))\/(d**(-12)*d*d**15) assuming d is positive.\nAnswer: d**(277\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -38, -47, -74, -125, -206?\n\"Answer: -m**3 + 10*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 1\/(-1) + (2 - 1). Let r(p) be the second derivative of 0 - 1\/2*p**4 + u*p + 3*p**2 + 1\/20*p**5 + 5\/6*p**3. Give r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 330 or 329?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115898973*k**3 + 1554094*k**2 + k + 8 wrt k?\nAnswer: -695393838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4 + 618*o**3 - 3*o**2 - 618*o = 0.\nAnswer: -206, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = 3*c + 16, -2*u - 20 = 4*c. Let l be 2\/u + (-43)\/(-2). Suppose -4*q + 3*g = -l, -g - 10 = -3*g. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let h(p) be the third derivative of -p**7\/2520 - 9*p**4\/8 - 11*p**2. Let x(d) be the second derivative of h(d). Determine u(x(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 1381*v + 1381*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-17\/3)*((v*v**(-21))\/v)**(-3) assuming v is positive.\nAnswer: v**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**8\/1120 + 7*f**5\/40 + 31*f**4\/12 + 24*f. Let v(u) be the third derivative of s(u). Differentiate v(y) with respect to y.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112189 = 112186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 10*h + 8. Determine n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 6*g + 131 - 131.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = -399. Let q be ((-53152)\/(-627) - (-4)\/(-38))*-21. Let l = h - q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 31*c + 27. What is w(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21552 divided by -21552?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 200 = v. Let s = -1205 - -1210. Suppose 2*g - 130 - 278 = -2*j, -4*g = -s*j - 780. What is the highest common factor of g and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*c - 101683 - 20615 = 4692*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 745200 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 - 18*t**2 - 20*t - 30. Let p(y) = -6*y**3 + 18*y**2 + 18*y + 35. Let f(q) = -7*h(q) - 6*p(q). Factor f(i).\nAnswer: i*(i + 2)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 859 - 363. Suppose -o*t + 491*t + 129925 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82501 - 82424. Let g = 346 + -247. What is the highest common divisor of g and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)\/((-6)\/(-8)). Suppose 2*o + 0*o - v*c = 116, o + 5*c = 65. What is the greatest common divisor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 11*o**2 - 20*o + 27. What is a(-13)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 54 = 3*i, i - 24 = -3*x - 2*i. Suppose 2*f - 37 = x. Suppose 3*p = 0, 4*p = 5*l - p - f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5270000 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 5*k**4\/6 - 111*k. Let v(x) be the second derivative of -x**4\/12 + x. What is i(v(w))?\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 15*o + 47 = -21*o - 68 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-4))\/v**(-4) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 1)*(6 - 3 - 1) + 7 - 2 - 3 - 2 + 0 + 3 + (-3 + 1 + 0)*(1 - 2 - 1))*(0*g**2 + 0*g**2 - 6*g**2).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(22\/3)\/b**(-6\/11) assuming b is positive.\nAnswer: b**(260\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 8 = -q, 2*z - 6*z = -4*q + 4. Which is the nearest to 1? (a) -0.6 (b) -30 (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-2 - 0) + 61 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818025 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 3\/5 (b) -83 (c) -25\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 2*t**2 - 3*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 11*y**2 + 12*y + 6. Let t be u(-12). Solve r + t = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z + 461974 = 37*z - 3*m, 3*m = 5*z - 1154917. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 100296*o + 702151. Calculate u(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3091 - -0.312. Round p to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:52 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.00953 litres in millilitres?\nAnswer: 29009.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 31*c**8\/28 + c**5\/30 - 569*c**4\/24 - 670*c**2. Find the second derivative of q(k) wrt k.\nAnswer: 7440*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {w: 2, q: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1353, 5413, 12181, 21657, 33841, 48733?\nAnswer: 66333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623635 - 10*r - 623635 + 6*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318328586 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3578 and -0.3.\nAnswer: -1073.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-1924)\/78)*(-9)\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1404559488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 8*p**2 + p + 3. Let n be m(-8). Let q be ((-22)\/n)\/(2\/(-10)). What is the remainder when (-687)\/(-33) - 4\/q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 11*x**2 + x + 22. Let s be 7 + -1 + 3 - 3. Let d be 1*(-1)\/(-2)*s - 14. What is the remainder when 19 is divided by t(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 + 295 = 30*k. What is the remainder when k is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 1811 = 23433. Let l = 2239 + h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 46274 - 46183 = 5*j, -4*l + 4*j - 68 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b + 3360 = 8*b + 116*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 13 = 7, 4*n = -3*h + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1826645452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-29)*(n**(2\/13)\/n*n)\/(n**6*n) assuming n is positive.\nAnswer: n**(665\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/4, -1\/17, 0, -1955?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*p**4*r**2 - p**4 - 14*p**3*r**2 - 10*p**2*r - 2*p*r**2 + 6*p wrt p?\nAnswer: -360*p*r**2 - 24*p - 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let k be (-9)\/18*5 + (-30)\/(-4). Sort -4, k, h, -5 in decreasing order.\nAnswer: k, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, 2\/591, -25, -5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-4)\/(1 + 3)). Let k = -1 + b. Let v be k + (-2)\/(-2)*-4. Sort -4, -1, v, 0 in ascending order.\nAnswer: v, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100435 and 23119?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 - 22\/33. Suppose -21*h - 2 = -19*h. Which is the nearest to z? (a) 0.3 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3 - 3 + (1 + 2*y - 1)*(-3*y - 2 + 2) + (2*y - y + y)*(9 - 10*y - 9).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1 + sqrt(99))\/sqrt(3) + (sqrt(33) - sqrt(33)*1*-1))\/((sqrt(396) + (sqrt(396) - -2*sqrt(396) - sqrt(396)) - sqrt(396))*-1) + 1.\nAnswer: -sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 4 + 4)*(2*f + f - 2*f) + 4*f - 7*f**2 - 4*f - 1 + 1 + f**2 + 5*f**2 - f**2 - 2*f**2 to the form q*f + b*f**2 + c and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -36259\/5735?\nAnswer: -36259\/5735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-3 + 4) + 4. Suppose -2*j + 4*j = w. Solve -4*u + 0*u + 8 = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 295 + 305. Suppose 0 = 3*n + 2*n - w. Solve -2*s - n = -u, -5*u - s - 9 = 2*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 0.09, 3, -211, 4.\nAnswer: -211, -3\/11, 0.09, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 196.2.\nAnswer: -58.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.3 - -9. Let x be (-12)\/(-15)*(-1)\/(-4). Let j = -4 - -2. What is the second biggest value in j, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, -1014, -1685, -2452, -3345, -4394?\nAnswer: -5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4562 + -3194. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4177 by 8.\nAnswer: 4177\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 28. Let x = d - 5. Let l = x + 7. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5773 - 10337. Let n be (2\/4)\/((-2)\/w). Suppose -5*o = -0*o - 5*v - 1905, 3*o - 2*v = n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192 * 5\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -8*m. Let d = 21491\/6 + -3597. Find the common denominator of -4 + m\/(-18)*161 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 8:25 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 6, b: 5, i: 1, o: 1, l: 5}. What is prob of sequence bl?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -510, -770, -1030, -1290, -1550?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/(110\/70 - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4962100 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 - 101?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1491 + 2578. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 5*u - 40*u**2 - 4*u + 34*u**2 - 4. Let q(d) = 17*d**2 - 8*d + 11. What is -4*q(i) - 11*s(i)?\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:56 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1649.206 millilitres to litres.\nAnswer: 1.649206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 8. Let h be c(-6). Suppose -h*u = -0 - 4, 24 = w + 2*u. What is the smallest common multiple of (w\/16)\/(2\/16) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 5*p - 8*p. Let v(f) = -86*f + p*f + 0 + 0. Let a(j) = j + 1. Let g(m) = -6*m - 8. Let q(o) = -8*a(o) - g(o). What is v(q(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*((5 + 4 - 1)*(-3 + 3 + 2) - 1 + 1 - 3)*(-m**3 + 4*m**3 - 2*m**3) as f*m**2 + y*m + b + o*m**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 v, and 1 q when four letters picked without replacement from sksqsqvsssqvqss?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583754815.\nAnswer: 5, 23, 29, 31, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*l + 429 = 0, 0*x = x + 2*l - 439. Let u = x - 311. Suppose -2*b = -0*b - u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z**2 + z - 1. Let p be w(1). Let g(v) = v**2. Let q be g(1). Suppose 2*d + p*x - x = -3, -x = -q. Let m(u) = -4*u. What is m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 16. What is h(-18)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 45. What is g(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3 - 9*u**2\/2 - 6*u + 4. Find i such that j(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6)**7*o**(-1\/10)\/(o**(9\/5)\/o) assuming o is positive.\nAnswer: o**(411\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -11. Let h(o) be the first derivative of 3*o**4 - 2*o**3\/3 - o**2 + 3*o + 38. What is the remainder when h(r) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**40\/(d**(-27)*d\/(d\/(d*(d\/(d\/d**25)*d*d)\/d))) assuming d is positive.\nAnswer: d**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 10. Let i be 304\/c + (-8)\/(-28). Suppose -r - 5*v = -i, -5*v = -r - 0*v - 18. Calculate the least common multiple of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69729841?\nAnswer: 69729841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 210.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**2 + 4*l - 1\/3*l**3 + 0 - 1\/20*l**5 + 5\/12*l**4. What is the remainder when 41 is divided by i(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -4)**2 - sqrt(7) - (sqrt(14)\/sqrt(2) + 4)**2 - (-4 + sqrt(847)*1)) + -3.\nAnswer: -52*sqrt(7) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 21. What are the prime factors of x(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 42*f - 149. Calculate j(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24118686623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.3, -42.906, 5, -13, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102.97 + 103. Which is smaller: g or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 395, 476, 609, 794, 1031, 1320?\n\"Answer: 26*g**2 + 3*g + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129 and 26055?\nAnswer: 1120365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.031, 3\/4, 0.1485, -0.1?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:41 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2 and -26\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2 (c) 704 (d) 1\/12 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 30*w = -0*d - 488, -32 = 560*w - 562*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/88)\/(-10)*(-10)\/(-5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (440\/6)\/((-6)\/(-819)). Let a = 68793\/7 - t. Let q = -182 - a. Calculate the common denominator of q and 109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23264 times -169.1\nAnswer: -3933942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-3 - (8 + -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/22)\/(v\/(v\/(v**(-1\/6)\/v))))\/(v**(1\/6)*v)**(-10) assuming v is positive.\nAnswer: v**(425\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -104*w - 418 + 209 - 1205 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498 and 1143?\nAnswer: 189738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 - 3*p**2 + 2*p + 10. Let a be h(-3). Let k = 419 - a. List the prime factors of k.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -17011 + 18711. What is the least common multiple of i and 1360?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740 and 4456.\nAnswer: 1938360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5099 is divided by 171.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98944\/3345 or -30?\nAnswer: -98944\/3345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 m when four letters picked without replacement from {d: 4, l: 1, m: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = 4*o - 26, -4*o - 26 = -q. Let s be 4\/q + (-115317)\/30. Let a = 30843\/8 + s. What is the common denominator of a and 49\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -3256781.\nAnswer: -3256780.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/904190 and 35\/116253.\nAnswer: 8137710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.044 and -3.952037.\nAnswer: -3.996037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 - 408*d**2 + 10800 = 0. Calculate d.\nAnswer: -10, -6, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 24*d + 22. Let j be k(-23). Let t(m) = -m**2 - m. Let u = 99 + -97. Let z = u - 8. Let n(h) = 8*h**2 + 4*h + 1. What is j*n(a) + z*t(a)?\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -4, -23, -1\/6, 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15437765633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1 + 8*v - 6 + 6*v**2 - 4*v**2. Let l be h(-6). Let t = 12 + -7. Solve -t*r + w + l = 0, -2*w = -r + 2*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let f be r(2). Suppose 2*o + 4*d - 2 = 0, f*d + 7 + 7 = 2*o. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -208*k**5 + 152988*k**4 + 73796*k**3 - 144156*k**2 - 73588*k - 8832 = 0.\nAnswer: -1, -1\/4, -3\/13, 1, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -20 - 0. Let m(v) be the first derivative of -v**3 + 6*v**2 + 3*v + 3. Let y be m(r). Solve 3*f + 2*f - 20 = -u, -30 = -y*u - 5*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/1209 + 61885\/516243. Calculate the common denominator of q and -32\/2135.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-268)\/402 + (-84160)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 26?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68920 + -68840. Suppose -2*g + 342 = 4*o - 0*g, -3*o - 5*g = -239. What is the least common multiple of v and o?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*d - 1840 - 232 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 25 = -v - 5*j, -3*v - 6 = 4*j. Let x be (-3)\/12 + 13\/4. Suppose -2 = x*g - 26. Solve 3 = -5*k - v*c + g, -k = -2*c + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5938 * -2392\nAnswer: -8596.3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 6227*k.\nAnswer: 6227*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156370 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + 14*k + 15. Let p be r(-1). What is the hundreds digit of 0 + (-3)\/((-45)\/p)*2770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 72 - 71 = a, -m = 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5498 or 2687?\nAnswer: 2687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 124. Solve -2*k = u - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 4*m + 3*b + 12, 0 = -5*m + 4*b - 599 + 617 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let v = 0 - j. Let r = -21\/100 - 1\/25. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 117, 170, 219, 264?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 59 = -49. What are the prime factors of (11 - c - -1526)\/1?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 14*j**2 - 14*j + 19. Let k be h(-15). Suppose 0 = -5*r - k*r + 351. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 146 = -68*c + 71*c + 26, -20 = -4*c + 188 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 105, 115, 125, 135?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:46 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10007 - 10018. Which is bigger: 2203 or p?\nAnswer: 2203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4251\/218 - 2*1\/4. Suppose u*y + 35 = 92. Solve 2*a - y*b + 1 + 2 = 0, 0 = -4*a + 4*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 8*f + 20183 + 4286, -5*f - 122525 = -5*i. List the prime factors of i.\nAnswer: 3, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -2, -0.03, 366?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 - (4 + 0 + -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -34*2*(-3 - (-5)\/2). Let d be (-1 + 5)*(-2)\/(-4). Suppose -5*s + d*s = -5*l + 34, -4*l + v = s. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 1, e: 2, x: 3}. What is prob of sequence hfx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81291713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*i - 31, -8*i + 4*o = -4*i + 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1173*k**2 - 73898*k + 24. What is f(-63)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 68?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*n - 26. Which is the closest to 25? (a) n (b) 5 (c) 1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5839 is divided by 2705?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 10?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = l + 2*l, -s = -l + 1. Suppose -s*b - b = -195. Let f(h) = h + 12. Calculate the remainder when b is divided by f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6280433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297766 is divided by 5953?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4342651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*t - 252 = -159*t. Let p be 63\/(-9)*-2*(-3)\/t. Solve -5*m - 5*o + 15 = 0, o + 9 = -p*m + 7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a factor of 83923196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110111001110011 (base 2) to base 10.\nAnswer: 224883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(-6 - (-26)\/4). Let j be ((-12)\/33)\/(s\/(-6)). What is the closest to -2\/3 in j, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxcxxxcxxxxcxxxxx. Give prob of picking 1 c and 1 x.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.061, -0.25, -6?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6279 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 167. Which is the nearest to 12? (a) -2 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)**5)**(2\/23)*((h*h*h*h*h**(-2\/7)*h)\/h*h*h*h*h**0)\/(h**(2\/9))**(3\/2) assuming h is positive.\nAnswer: h**(2872\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -51. Solve -6 = 4*f - x, -j*f + 0*f + 3*x - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183*k**4 + 82.\nAnswer: -732*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 7312*z**3 + 6*z**4 + 21*z - 1 - 7313*z**3 - 2*z**4 in the form s*z**3 + j*z + b + c*z**2 + d*z**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3621 by 1207.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 + 3*c**2 + 7*c + 3. Let a(k) = 2*k**3 + k**2 - k - 4. Give -a(u) - r(u).\nAnswer: -6*u**3 - 4*u**2 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*c**3 + 7 + 15 - 22 + 21*c**2 wrt c?\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 42. Suppose -13*y + 5*y = -q. Suppose -y = 13*o + 11. Which is smaller: -6\/5 or o?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310162 or -310127?\nAnswer: -310162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*m + 214, -4*m + 4*f + 100 = -2*m. Let p = -42 + m. Let c be ((-1)\/p*(-8)\/4)\/1. Solve -3*g = 7 - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -82*x**3 - 3*x**2 - 45*x - 42. Give y(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 33, 84, 157, 252, 369, 508?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 154*t**2 + 32*t - 1060. Let j be r(35). What is j rounded to the nearest one thousand?\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*p**3 - 9253*p**2 + 9253*p**2)*(-3*p - 243 + 4*p + 250) to t*p**4 + v*p**2 + u + z*p + n*p**3 and give n.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 a when three letters picked without replacement from {d: 6, n: 3, a: 1, w: 2, c: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39204100 - 39204100.18000017. Let d = 93.82 + -94. Let g = d - p. Round g to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 3:13 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 u when four letters picked without replacement from uczcucuzqczqcuzq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -151*m - 531. Determine i(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 0.4, -4 in ascending order.\nAnswer: -4, -1, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 613404440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:20 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o**3 + 13*o**2 - 54*o - 7. Let w(p) = 8*p**3 + 6*p**2 - 27*p - 3. Give 13*w(f) - 6*y(f).\nAnswer: 2*f**3 - 27*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0338? (a) 5.7 (b) -1 (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353182 is divided by 129.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612 and 1716660.\nAnswer: 1716660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1056 - 0.5056. What is the third biggest value in 2\/271, l, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/30 (b) 1\/30 (c) 21\/4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4*p - 5)*(-5 + 2 + 1)*(3 - 1 - 1 + (1 + 1 - 3)*(-9 - 14 - 6) - 3 - 2 - 5) as t + i*p and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 + 141. Calculate the remainder when (y\/3)\/(2\/(-1830)) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 51 = 2*n + 65, -5*w = -3*n + 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -195?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 46, -0.27, -3\/7 in descending order.\nAnswer: 46, -1\/6, -0.27, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 299203733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 times -7678?\nAnswer: -5366922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 + 11 = y, -3*u = 6. Solve 0*g - 15 = -y*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-1 - -17 - (329 - 346)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210*u**3 + 0*u**2 - 147*u**3 + 4*u**2 - 189*u**3 + 531 + 451*u**3 wrt u?\nAnswer: -285*u**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1706, -3353, -4944, -6479, -7958, -9381, -10748?\n\"Answer: 28*z**2 - 1731*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*w**2 + 2*w**2 + 0*w**2)*(-w - 4*w + 4*w) + 0*w**3 + 12*w**3 + 8*w**3)*(4*w + 12 - 12).\nAnswer: 88*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*i + 215*i + 205*i.\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341252723*b - 341252693*b + 682505466*b.\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6*(-8)\/(-84))\/((-2)\/7). Suppose -5*x = 14 + 41. Let w be 16\/(-104) - x\/(-13). Sort w, 5, a in descending order.\nAnswer: 5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26150 + 0*g - 26148 - 11*g + 10*g. Give a(-25).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385038812.\nAnswer: 2, 96259703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 377492331 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*m + 76 = 2*s, 3*s = 4*m + 236. Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 0, 2*x = 4*q - 8*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 263 - 797 + 10*x + 264 + 260 + 3*x**2 as r*x**2 + s + p*x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -g. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = r - 3*i, -3*r = r + 5*i - 39. Let k = r + 35. Suppose w = -4*s - 7 + k, -33 = -3*s + w. Calculate the least common multiple of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*d + 0*d + 79 - 133 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in -0.3, -0.2, -8, -28, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 166*w**3 - 2169*w**3 + 3737*w**4 - 4313*w**4 + 73*w - 2573*w - 973*w**3 - 4900*w**2 = 0. Calculate w.\nAnswer: -25\/12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 27 = -27. Let r be 211*-1*(-1)\/1. Suppose -5*l + v + 965 = -2*v, o = l + 3*v - r. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*b = -3*b, -4*l + 4*b = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25*h**4 - 6*h**3 + 6*h**2 - h - 37. Let r(k) = k**4 + k**3 - k**2 - 1. Let q(b) = -c(b) - 6*r(b). What is the first derivative of q(f) wrt f?\nAnswer: -124*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653523709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-2)*(-2)\/(-3). Let p(o) = -o + 8. Let g be p(a). Solve g = u + 4*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 18*i + 4050 = 0. What is the remainder when 1194*(-9)\/(i\/(-12)) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612766385 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*-2*3\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**6\/40 + n**5\/40 - 3*n**4\/16 - n**3\/2 - n**2\/2 - 73*n - 1. Find y, given that v(y) = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y)**(2\/73) assuming y is positive.\nAnswer: y**(-4\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**2 - l. Let b(g) = -2*g + 25. Let v be b(13). Let k be h(v). Let i(f) = f**3 + 4*f**2 - 2*f + 5. What is i(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11796?\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 0.1. Let s be 12\/18*-4*6\/(-20). What is the nearest to t in -1\/5, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + -0.5. Let a = -1.3 - b. Let p = a + 3.3000029. Round p to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1191*n - 85*n + 1343*n)*(-n**2 + n**2 + n**3 + (2*n**2 - 3*n**2 - n**2)*(-3 + 3 - 2*n)).\nAnswer: 12245*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a day in minutes?\nAnswer: 16992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33298*j - 2*u + 8 = 33302*j, j - 30*u + 120 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.014 - 0.01334. Round q to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230244.9 - 244580. Let h = f + 14335.1999994. Let s = -0.1 + h. What is s rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 69\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let y(o) = o**2 + 3. Let t be 29\/(-116) + 161\/4. Let s = t - 38. Let q(k) = s*j(k) + y(k). Differentiate q(h) with respect to h.\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**3 + 46*z**3 - 21*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*p + 5 + 2 = 0, -2*h + 5*p - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1040 + 1044. Let g be ((-6)\/(-9))\/((-7)\/(-42)). Solve 2*c = 5*f, g*f + 2*c + 2 = j*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3534 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 88\/24 + 3 + (-28)\/6. Solve -4*z = m + 4, m = a*z - 1 + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/21, -1, 0.218?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1731 and -1.6.\nAnswer: 2769.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522735 is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -106 (b) -799 (c) 4 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7 + (17 - 11) + 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 20 - (808 + -814).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*d - 12. Solve 2*s + 2*h = 0, -3*s - h = -s + d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 30. Let q(r) = 10*r**2 - 12*r + 12. Let i(t) = t**2 + 7 - 8 - 3*t**2 + t + t**2. Determine g*i(j) - q(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:50 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 + (-60)\/(-14). Suppose -n + 0*n = -20. Let d = 5 + -5. Solve -2*i - 15 = -3*z, g*z - 8*z - 2*i + n = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2 = 2*i - 2, -4*n = -4*i + 12. Suppose -3*c + 833 = i*v, -v = 4*v + 4*c - 1042. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19757609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.362\nAnswer: -0.01086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -4 (c) -2 (d) -0.4 (e) 0.12 (f) 227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2502, 2527, 2544, 2553, 2554, 2547, 2532?\n\"Answer: -4*f**2 + 37*f + 2469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 18*t = -d + 14, -2 = -3*d - t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-7)\/5)\/(-1*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - 8\/21. Let v = u + 1\/21. Which is the second biggest value? (a) v (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-48)*8\/3. What is the second smallest value in i, 3, -6\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3 - 87280*u**2 - 698297*u - 611016 = 0.\nAnswer: -7, -1, 87288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 + 4*k. Let n be t(-5). Let c = n - 3. Suppose 3*y - 2*m = 14, -c = -5*y - 4*m - 8. Is 2 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)*i*i*i**(1\/4)\/i*i)\/(i*(i**0*i)\/i)**(-18) assuming i is positive.\nAnswer: i**(555\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3652, 7303, 10954, 14605, 18256?\n\"Answer: 3651*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-135)\/(-450))\/((84\/(-205))\/(-2)) and -61\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24940 - -24229. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 14*o**2 - 12*o - 8. Let d be n(13). Suppose -3*k - 3*l + 0 = -3, -5*k - 40 = -4*l. Put 0, d, k in descending order.\nAnswer: d, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 687\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/3)\/z)\/z*z*z**(-11\/5)\/z)**(-14\/13) assuming z is positive.\nAnswer: z**(602\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6)\/(4 + -5 + 46\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (17 - 17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 18*b**2 - b + 1. Let l be a(1). Let m be ((-120)\/l)\/(1\/(-3)). Solve -3*n + m = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 + 119.9. Let h = d - 4.3. Put -4, 3, -2\/31, h in ascending order.\nAnswer: -4, h, -2\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 22. Let p be 15\/(-4850)*q\/3. Let m = p - 681\/485. What is the third smallest value in m, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/60 + 39\/15. Suppose 2*n = -4*g + 2, -2*g - n - n = -2. Solve -z + h - 4 = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513106*13.\nAnswer: -6670378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.21 from -0.0295072.\nAnswer: -0.2395072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/71376625 and -59\/201534.\nAnswer: 428259750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -3276\/19 = -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 11. Let w be b(-6). What is the highest common divisor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 13*v - 12*v. Let p(h) be the second derivative of h**4\/12 + h**3\/3 + h**2\/2 - h. Let x be p(-1). Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/((-3200)\/1728)*2\/(-33).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 1, z: 1, a: 3, g: 4, w: 1}. What is prob of sequence zss?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 0.280210429.\nAnswer: -0.190210429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**3\/7 + 932*r**2\/21 - 3368*r\/21 + 464\/3 = 0. Calculate r.\nAnswer: 2, 406\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcfjgfg. What is prob of sequence gj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7199 - 7194. Which is the biggest value? (a) h (b) -0.2 (c) 0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82740.11 minutes to nanoseconds.\nAnswer: 4964406600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 192.532.\nAnswer: 770.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/60 + f**5\/4 - 7*f**4\/24 + f**3 + 56*f**2. What is the remainder when (8\/(-3))\/4*-15 is divided by o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - g**2 - 3)*(-4*g**3 + 3*g**3 + 5*g**3 + (3*g + 3*g**2 - 3*g)*(5*g - g - 2*g)) + 4 - g**5 - 4.\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -9972.\nAnswer: -9972, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(432) + (0 + sqrt(51)\/sqrt(3))**2.\nAnswer: sqrt(17)\/6 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5784 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q - 75*q + 107*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 1. Let q be z(8). Suppose w = -3, -5*u - 3*w = -4*w - 48. Let j = q + u. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 1495*n - 21277. Determine m(-14).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 5, z: 7, l: 6}. What is prob of picking 2 g?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -201164 (base 8) to base 5\nAnswer: -4104124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125685 and 1855?\nAnswer: 6661305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - x**2 + 140*x**3 + 4*x**3 + x + 2098 - 2095. What is the thousands digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -5. Suppose 3 + 0 = h, -2*b + h + 67 = 0. Solve 3*a + b = 4*w, 5*w - 5 = -f*a + a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1361638232, -1361638231, -1361638230, -1361638229, -1361638228?\n\"Answer: o - 1361638233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -154118.\nAnswer: 4777658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927497980 is divided by 256?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -20\/9 (c) -2\/7 (d) 11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 11*s**2 + 4*s + 15. Calculate q(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c1 - -4050?\nAnswer: 4711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26, -3, -2699?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (10 - (5 - 6 - (-24 - 1))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.06 - -2.6. Let r = n - 0.04. Put -3, r, 0.08, -4 in decreasing order.\nAnswer: r, 0.08, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:06 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 256615.62 minutes?\nAnswer: 4276.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*f - 3, -g - 2*f - f + 12 = 0. Suppose 3*k + 3*o - 45 = 0, g*o - 21 = k - 2*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + -51173024583?\nAnswer: -51173024582.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49375, -49373, -49371, -49369?\n\"Answer: 2*a - 49377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 5*z - 3 = 0, 19*u - 14*u - 10 = -5*z. Which is the nearest to -0.59? (a) -14 (b) -1 (c) -3\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + 213\/9. Let l be (m\/16)\/((-2)\/4) - -13. Let y(o) = l*o + 1 + 4*o**3 + 6 - 8*o**2 - 5*o**3 - 1. Calculate y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 1, n: 4, d: 4, z: 2, s: 8}. What is prob of picking 2 s, 1 d, and 1 h?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1862, -3696, -5442, -7100?\nAnswer: -8670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.3008\nAnswer: 0.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3559.2 to the nearest 10.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/58474? (a) 34 (b) 5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 107*o**3 - 19*o**2 + 399*o - 402. Calculate h(1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3746*o + 907. Is m(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 + 11*g. Let q be j(8). What are the prime factors of q\/5 - 8\/(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*7*165\/(-6). Calculate the highest common factor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 28. Let p be n(13). Suppose 2*o - 2*m = 160 - 50, -p*m = -o + 57. Let y = 56 - o. Solve -5*h - y*d = 12, 3*h + h = -5*d - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7032623 + 7032623 + 13*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 28*k + 29*k = 5, 5*f - 15 = -3*k. Solve f = -n - g + 4, 0*g + 9 = n - 4*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:21 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*k + 70185 = 0, -792*a + 794*a = 5*k + 28074. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.062137606 + -233088.466137606. Let u = 233106.40400108 + v. Let q = 18 - u. Round q to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.54223551 + 0.12?\nAnswer: -437.42223551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52761057 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-2*-1 - (1*2*sqrt(130) - sqrt(130)))\/((sqrt(1210) + (sqrt(1210) - (-5*sqrt(1210) + sqrt(1210))))*3 - sqrt(1210) - sqrt(1210)).\nAnswer: sqrt(13)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42479 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u + 2*u. Suppose -40 - 2 = -u*a. What is the smallest common multiple of 18\/a*1*7 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 9*t + 2. Let x be b(8). Let u be 2\/x*(0 - -2). Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*h + 31, 4*q - 2*h = 2*h - 32. Let b = q + -31. Let l = b - -39. Solve l + 3 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 15 = -4*x + 12, 17 - 77 = -2*x + 16*l for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(7))**2 - (2*sqrt(7) + 0 - sqrt(7)).\nAnswer: 11*sqrt(7) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 2*l - 12, 0 = 5*z + 3*l + 11. Put -21, -25, z in increasing order.\nAnswer: -25, -21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 478*g**8\/7 - 163*g**4\/12 + 5*g**2\/2 + 13*g - 57. Find the third derivative of o(j) wrt j.\nAnswer: 458880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 29*x**3 + 6*x**2 - 98*x - 513. Determine g(-4).\nAnswer: -1881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*y + 82, y = 3*p + 6*y - 124. Suppose x + 7*g = 8*g + p, -3*g - 198 = -5*x. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -0.021?\nAnswer: -5.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 569247 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(600) - (4*sqrt(600) + sqrt(600))) + 0.\nAnswer: -sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.4+-0.27442378\nAnswer: -2.67442378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -28, -48, -70, -94, -120?\n\"Answer: -x**2 - 15*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a**2 - 94*a - 68. What is d(17)?\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*7\/((-175)\/30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4*43\/(-6) and -38\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3678352 decades?\nAnswer: 3.678352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 4 + 136 + -131?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641128 greater than 2641127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*h + 48730, 0 = -24*v - 7*h + 3*h + 292512. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-176))\/(3\/11))\/(-15*(-15)\/450).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 479, 612, 719, 794?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54a091 + -5?\nAnswer: -54a096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 5 = -2*u - 3*s, u + 3*s = -7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 2*f**2 + 3*f**2 - 3*f**3 - 3*f**4.\nAnswer: -3*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -19*k**2 - 5*k + 19. Calculate x(5).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j**(-6))\/j)*j)**(-42))**(-37) assuming j is positive.\nAnswer: j**13986","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert bbb9 (base 12) to base 2.\nAnswer: 101000011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8040 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2021?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 11. Let n = x - -27. Suppose -163 = n*v - 1489. 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(m) = -35. Let f(z) = 29. Let y(i) = -6*f(i) - 5*s(i). Let p(l) = -3 + l - 3 + 2. Let w be 4\/((1 - 7)\/(-3)). Calculate w*p(v) + 6*y(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -639358 < -639358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -28*b**2 + 1252*b - 880 = 0.\nAnswer: 5\/7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x - 1. Let v(y) = -4*y**2 + 6*y + 6. Let n(j) = 346*j + 2427. Let h be n(-7). Determine h*v(s) + 30*f(s).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2280\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 2, v: 3, g: 1, n: 3, r: 3}. What is prob of picking 1 v, 1 r, and 1 g?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(108)*-2*3*-6)**2.\nAnswer: 20155392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 25933831.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 611.9637 meters?\nAnswer: 611963700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*1\/4*16\/60?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 197, -5, -4, 5, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.21193 times -1\nAnswer: -0.21193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eafaaeeffeff. What is prob of picking 4 e?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 2. Suppose 10 = -2*y, -o - 4*y + 8*y + 30 = 0. What is the units digit of q(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:25 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-111 + -10) + 3152\/(-1034) + 3?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3433.3966 + -3433. Let h = -0.39 + o. What is h rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.576 and 4.8.\nAnswer: 4.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28956 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: d33 (base 16) to base 4\nAnswer: 310303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, h: 1, l: 2, y: 2, k: 1}. What is prob of sequence wy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -490268915?\nAnswer: -490268915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 641 + 707492?\nAnswer: 708133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 6*(-1 + sqrt(891)) + (sqrt(539) - (1 + sqrt(539)*4) - ((4*sqrt(539))**2 + 1)).\nAnswer: -8641 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480 divided by -5.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1026378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.818, 38, -2\/19?\nAnswer: -0.818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*r + 20677 = 302*r - 5332 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-166 - -4)\/(-1 + 5 + 948\/(-234))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 2 + 4*h**2 - 3*h**3 - 2 - 2*h**3. Let j(f) = 4*f**3 - 3*f**2 - 3*f + 3. Let r(n) = 4*j(n) + 3*u(n). Let r(s) = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:51 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -35 - (0 + -3 + 0)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u + 395 - 374 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 16. Let u(t) = 4 + 0*t + 12*t + 12*t**3 - 13*t**3 - 11*t**j. Let s be u(-12). Solve n + 3 = -5*x + 8, x + 18 = -s*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2160)\/1890 + 9\/14*36?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:28 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Suppose 0 = 14*u - 12*u + 34. Let c be 0 - 3 - u - -1. Let p(m) = 36*m - 15. Let j(b) = -5*b + 2. Let a(z) = c*j(z) + 2*p(z). Give n(a(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 54*l + 728. Let t be k(25). Solve 4*h + 3*a = 8*a - 14, -t*a + 10 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152569875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -898026 take away 1.9?\nAnswer: -898027.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/(-30))\/(22\/(-220))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525.1t in milligrams?\nAnswer: 5525100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60132.03mg to micrograms.\nAnswer: 60132030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 37. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229221?\nAnswer: 3, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -151106.6.\nAnswer: -151106.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184733\/6 - 24754801\/804. Let z = o + -2\/67. What is the nearest to -0.1 in -1\/6, z, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-22)*2*-2. Let w be 13210\/30 - q\/(-6). Calculate the remainder when (26\/65)\/(2\/w) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 132*j - 8. Give y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18110*r**3 + 7487*r**3 + 10642*r**3.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2. Let a be o(1). Let w be a\/((2\/(-12))\/(1\/(-9))). Solve -2*x - 2 = -w*v, 3*v = -2*x + 2*v - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/(-30)*2)\/((-4)\/(-2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.73 - 2.83. Are -12 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23607 or -23608?\nAnswer: -23607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/8 - 19*l**3\/6 - 5*l**2 + 455. Factor v(a).\nAnswer: a*(a - 20)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693 + 2121 - 695 - 700 = 3*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/21*2\/(4\/3). What are the prime factors of (-6 + j)*-6 + -2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 10*y - 32*y + 10*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2160\/45)\/(-480)*10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1981738, -1981739, -1981740, -1981741, -1981742, -1981743?\n\"Answer: -n - 1981737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 - 240. Let i = t - -84.6. Put 4, -4, 0.24, i in descending order.\nAnswer: 4, 0.24, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -157*n**2. Let j(k) = 49937*k. Calculate p(j(h)).\nAnswer: -391511523133*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(385)\/(sqrt(56)\/sqrt(8)*-2))\/(((sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99) - sqrt(99)*1) - sqrt(99) - sqrt(99))))*-3)\/sqrt(9)))*5.\nAnswer: 5*sqrt(5)\/18 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 6, l: 3, z: 1, v: 3, n: 2}. What is prob of picking 1 l and 1 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -38496868\nAnswer: 5\/38496868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 1. Let w be (-1)\/(39\/(-18) + l). Suppose -4*c + 22 - w = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 11*o + 11. What is d(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227 - -332. Suppose 5*z = 2*z + 3, 3*f - o = 3*z. Let w be ((-1)\/(-3))\/(3\/f). Solve -w*l = 7 - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7604935.\nAnswer: 5, 13, 79, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -1\/6*g**3 + 0*g**2 + 1\/12*g**4 - 3*g + 0. Factor a(y).\nAnswer: y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 193 + 541 = 0. What is the remainder when 62 is divided by w\/12 - (-4)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1492 - -4279. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = -2*r + 1, -3*t = -r - 9. Solve 5*m + 0*m = n - 8, t*m - 2*n + 9 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -21*h**5\/10 + 34*h**4\/3 - h**2\/2 + 3*h + 110. Find the third derivative of y(m) wrt m.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in -1, 58315, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123699, -123623, -123547?\nAnswer: -123471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-21))\/((-2)\/27). Suppose -11*t + 10 = -f*t. Suppose -9*v = -32 + t. Solve -y = -0*m + m - 2, v*y + 8 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270989239 + 541978475 - 270989239 + 16*f.\nAnswer: 16*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32476.67 days to hours.\nAnswer: 779440.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) -1.64487 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 66. What is the lowest common multiple of 11 and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o**2 + o. What is q(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9\/(d*d*d*d*d*d**(3\/2)))**(-21))**(-49) assuming d is positive.\nAnswer: d**(5145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -510.01244 * 3.\nAnswer: -1530.03732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 9 = -3*z, -10 = -18*z + 21*z - 2*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69819 and 31?\nAnswer: 2164389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 955 = -5*v, 2*v + 3*p + p = -382. Let c = -195 - v. Sort 9, 2, c in ascending order.\nAnswer: c, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 350*l**3 - 5765*l**2 - 12600*l - 6480.\nAnswer: -5*(l - 36)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 25*l**2 - 117*l - 199. Let o be n(6). What is the closest to 98 in o, 2\/97, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4663136 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1428904*x**4\/5 - 571548*x**3 - 1428768*x**2\/5 + 68*x\/5 = 0.\nAnswer: -1, 0, 17\/357226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 12*f**3 - 33*f**3 + 25*f**3 + (-2*f + 5*f - 4*f)*(f**3 - 2*f**3 + 2*f**3).\nAnswer: -2*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -73171*i - 48. Let o(y) = 446313832*y + 292780. Give 73195*n(b) + 12*o(b).\nAnswer: 14639*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*q = -68*q - 616. What is the remainder when 613 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose 2*q - 8 = -3*g + 2, -3*g - 20 = -4*q. Calculate the least common multiple of k and q\/(-20) + 26*4\/32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3943, 3932, 3921, 3910, 3899, 3888?\n\"Answer: -11*v + 3954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 54*l**2 - 244*l - 9. What is the units digit of x(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + 1)*-3 - (sqrt(133)*1*3 + sqrt(133))\/sqrt(7))**2.\nAnswer: 132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6893 is divided by 1141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 312240324 (base 5) to base 7\nAnswer: 13652123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -5*z, -4*k - 5 = 3*z. Are k and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-42)\/f)\/(f*f**(-23)))**(-48) assuming f is positive.\nAnswer: f**1008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(9*l - 35*l + 18*l) to z*l + b and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {v: 2, f: 1, q: 4, n: 2, r: 1, t: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose l*r + 2*r + 24 = 0. What is the units digit of (-3)\/r - 22\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 108 + -9d7?\nAnswer: -8cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let j(t) = 4*t**3 + 1. Let k be j(s). Suppose -28 = -k*d + 22. What is the greatest common divisor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a + 2327 + 2446 = 1245. Calculate the remainder when 459 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 14*y + 12. Let h be n(6). Suppose 40 = 5*c - 0*c. Let i be 38\/9 + c\/h. Is 3 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18017.12 nanograms?\nAnswer: 18.01712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -440 - -441. Find the common denominator of (-85)\/(-460)*-3*z and 115\/28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + z**3 + z**3 + 2*z**2 + z**3 - 2*z to the form j*z + u*z**3 + r*z**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2038*w + 3463 with respect to w.\nAnswer: 2038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - ((-2 - -3) + 0)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 14*c - 1. Let r be y(-10). Let o = -1 + r. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/4))\/w*w**0*w**(3\/2)\/w**(-4))\/(w**(3\/8)*w**(7\/2))**(-3\/10) assuming w is positive.\nAnswer: w**(513\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*f = -2, 0 = -z + 5*f + 5 - 3. Suppose 3*j = z*j + 3. What is the biggest value in j, -0.3, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/42 (b) -1 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 60*o + 421. What is the remainder when 723 is divided by v(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g. Let q(b) be the first derivative of -b**3\/3 + 3*b + 2. Let p(o) be the first derivative of q(o). What is p(k(y))?\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6806767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + p**2 - 2*p**2)*(-33*p - 60*p - 52*p)*(-4 + 4 + 1).\nAnswer: -290*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1113 - 412. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.809 to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 123\/6 - (-3)\/(-6). Suppose -14*q + 10*q + c = 0. Suppose -3*n = -5*h - 43, 19 + 34 = 5*n + h. Solve q*i + n = i + 3*l, 0 = -5*i - 4*l + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19290, 37699, 54318, 68253, 78610?\nAnswer: 84495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**2 + 2*a**2 + a + 14*a + 7*a**2 to q*a**2 + u + i*a and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 394, 392, 380, 352, 302?\n\"Answer: -i**3 + i**2 + 2*i + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 184\/(-6)*9\/6. Suppose 5*b + 180 = 5*p, 5*b + 9*p + 166 = 7*p. Let o = b - d. Calculate the least common multiple of 16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29724021, 118896072, 267516165, 475584306, 743100501, 1070064756?\nAnswer: 1456477077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 21 - 21 - 433*r**3 + 435*r**3 - 9*r.\nAnswer: 2*r**3 - 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 215*z**5\/2 - 109*z**4 - 106*z**3 + 109*z**2 - 3*z\/2 = 0.\nAnswer: -1, 0, 3\/215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, 0.05, -4, -69.87, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:04 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 121101200?\nAnswer: -121101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from qzqqqqqkkqqz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12719*x**2 + 7248*x.\nAnswer: 25438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/(-42))\/((-14)\/(-49)). Let c(q) be the first derivative of q**2 + 5*q + 5 - 5\/3*q**3 + 1\/4*q**u. Determine c(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let d = 273 + -393. Let c be (-46)\/d - 4\/16. Put n, c, -2 in decreasing order.\nAnswer: n, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 - 287. Let k be (205\/t)\/((-6)\/24). What is the greatest common divisor of k and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54098049727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1859043*a**5 - 6*a + 48542?\nAnswer: -37180860*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-57)\/6)*8\/(-8).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*y - 40. Let c = -1 - -6. Let s = y - c. Do s and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 3*q + q)*(-2*q - 2*q + 3*q)*(-12*q + 7*q + 3*q) to the form z*q**3 + b*q + w*q**2 + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iut when three letters picked without replacement from titupupttuutppi?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*c - 19*c + 11*c - 775 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((sqrt(243) - (1 + sqrt(243))**2)*2 + sqrt(243) + 0 + -1 + 5).\nAnswer: 90*sqrt(3) + 4840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1865450.4536 + 1866655. Let r = 1191.5464038 - v. Let h = 13 + r. Round h to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40805 is divided by 698.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*l**2 + 668*j**3*l**2 - 3*j**2*l**2 - 127*j**2*l + 3 wrt j.\nAnswer: 48*j*l**2 + 4008*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 3. Let t be l(-3). Let n(w) = -13*w - 37. Let z be n(-3). Find the third derivative of -30*f**2 - 15*f**t + 57*f**2 - 36*f**z wrt f.\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o - 1. Let h(i) = -i**3 + 5*i**2 - 2*i - 3. Calculate h(g) - 2*m(g).\nAnswer: -g**3 + 7*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*p - 6588837, -4*y + 7203593 + 1581547 = p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18485, -41313, -64129, -86927, -109701, -132445, -155153, -177819?\n\"Answer: x**3 - 22835*x + 4349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -288*y + 2366. What is k(8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2306 or 2307?\nAnswer: 2306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i - 2*i - i + (0 - 2 + 3)*(1 + 2*i - 1) + i + 0*i + i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = -o, 140*o = 143*o + 5*s + 27. Let l(n) = -n**3 + 3*n**2 - 2*n + 1. Let q be l(3). Which is the nearest to 0? (a) o (b) q (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16*i**2 + 8*i + 1. Let m(s) = -7*s**2 + 4*s + 1. Let z(b) = -2*h(b) + 5*m(b). Let t(n) = 2*n**2 - 3*n - 2. Determine -8*t(l) - 5*z(l).\nAnswer: -l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71407 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102801*i**2 - 19*i + 4077827?\nAnswer: 205602*i - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -53, -90, -125, -152, -165?\n\"Answer: y**3 - 8*y**2 - 16*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068727 divided by -4.\nAnswer: 1068727\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -10085120, -10085144, -10085168?\nAnswer: -10085192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88791 - -133182. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 + -9.17. Let n = x + 6. Let g = -22\/41 - -25\/123. Which is the smallest value? (a) 2 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -44, -65, -88, -113, -140?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3, 1, 4, -141, -0.21, -1\/2?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/54 - ((-70)\/280 - 203\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5514197 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 5*k**4\/12 - k**3 - k**2\/2 + 6*k. Let m = -14 + 16. Let f(l) = 5*l - 3 + 14*l**m + 0*l**2 - 22*l. Give -6*f(b) + 17*o(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10208 and -41670.\nAnswer: 425367360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18300 - 5*q + 6094 + 6034 + 6172.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -112504 divided by 56?\nAnswer: -2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3 - 17 = 0, -5*w - 2*a = -10. Let s be (w\/(-10))\/((-12)\/(-420)). Let h(v) = -v**2 - 14*v + 16. Does 5 divide h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/33 + 31\/(-93))\/((-55)\/1815).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 59)\/((-35)\/45)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-30) + 64\/78. Let q = g - -1\/78. Let u = -427\/3 + 143. Which is the second biggest value? (a) u (b) q (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20211 - -3223?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 4*y = -11*k + 4, y - 20 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:30 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 214, 1423, 5382, 13465, 27046?\n\"Answer: 229*n**3 + n**2 - 397*n + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -46. Let w = 33 + -98\/3. Which is the nearest to 1\/2? (a) m (b) 2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -3 - (2 + -2 - 121). Let i = -119 + m. Let 0 - 4\/3*l + 4\/3*l**5 + 8\/3*l**i + 0*l**3 - 8\/3*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1940.44 + -158\nAnswer: -2098.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672650683?\nAnswer: 137, 4909859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -1138, -1704, -2270?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2\/3, 6\/13, -4, 943, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let r(j) = -j**3 + 2*j**2 - 2*j + 1. Let x be r(s). List the prime factors of (0 - x) + 1\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-43) + (-14069)\/(-5719) + 5073\/32129.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055760?\nAnswer: 2, 5, 7, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96386.22 centuries to years.\nAnswer: 9638622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8.3. Let s = 21 - 20.48. Let f = a - s. Round f to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11355081?\nAnswer: 3, 59, 64153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 10*d + 25. Let a be u(7). Suppose -5*c + 424 = a*r + 54, -2*c = -r + 86. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530 - 530. Suppose 19*h - 17400 + 4765 = q. What is the highest common factor of h and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6589000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 437.4028ml?\nAnswer: 0.4374028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 5, q: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*p + 6*z + 11, 3*z = -3*p - 9. Let b be (p\/(-8))\/(4\/(-40)). Which is smaller: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:36 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11579903 + -13492?\nAnswer: 11566411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1096)\/(-4795))\/(6\/(-15))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 1\/3, 1, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 479142 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 7) to base 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 + p + 6. Let i(q) = 9636*q**2 - 7227*q - 43362. Give -i(c) - 7227*k(c).\nAnswer: 12045*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + z**2 - 2*z**3 + 3*z**3 + 44 to the form q*z**3 + c + y*z**2 + k*z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, -4, 5, 1.22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from axxnetpt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5\/4*n**5 + 0 - 1\/2*n - 11\/4*n**2 + 11\/4*n**4 - 3\/4*n**3 = 0.\nAnswer: -2, -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1.8. Let z = 1 + j. Which is the closest to 0? (a) z (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 99 = 29*k. Let l = k - 29. Solve 4*r = 16 + l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 3, d: 2, l: 9}. What is prob of picking 2 d and 2 l?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 7*w + 2. What is k(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 70*g**2 - 2*g. Let s be h(1). Suppose -21*k + 17*k + s = 0. Does 9 divide 2\/17 - (-1154)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Put -4, n, 0.4 in descending order.\nAnswer: n, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1872) - sqrt(1872)) + 5)**2 + (5 + (2*sqrt(1872))**2 - sqrt(1872)).\nAnswer: -12*sqrt(13) + 7542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c + 12. Let j be -1 + (7 + -5)*(-179909)\/(-2). Suppose -108092 = c*u + j. What is u rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let j = 43 - 58. Let h be (1 - j\/10)*46\/5. Let l(r) = h*r + 1989 - 1989. Calculate l(f(s)).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:09 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -30, 0.14, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let i = -248 + 244. Sort 8, u, i.\nAnswer: i, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7917 divided by 7.\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - 0.5. Let k = 0 - 0.1. Let g = b + k. Is 0.3 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159982 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**7\/1260 + x**6\/540 - x**5\/180 - x**4\/36 + 20*x**3 - 28. Let f(t) be the third derivative of c(t). Factor f(l).\nAnswer: 2*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12674156 + -4?\nAnswer: 12674152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 549 + -679 + (242 - 6)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2524754449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -29*n + 39 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954966.537 seconds to weeks.\nAnswer: 1.5789790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -0.2, -1\/10, -2\/17 in increasing order.\nAnswer: -0.2, -2\/17, -1\/10, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 852, 1694, 2536, 3378?\nAnswer: 4220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - ((-4)\/(-2) - 1). Let u = j + 3. Let d be (4\/24)\/(u\/(-4)). Is 0 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12444 = -q. Suppose 4*o - 2500 = 2*y, -2*o = -7*o - y + q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Let f(n) = -n - 1. Let v(y) = -2*y - 2. Let p(j) = 5*f(j) - 2*v(j). What is p(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75) - (0 + sqrt(75))*-2) + sqrt(75) + sqrt(75)*3 + -3)**2.\nAnswer: -240*sqrt(3) + 4809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 12.61.\nAnswer: 12.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cff9 (base 16) in base 8?\nAnswer: 747771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3384 and 22.\nAnswer: 37224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -8617?\nAnswer: -8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-48)*(-648)\/1584)\/(1*6\/(-172)).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y + 4. Let j be 6\/(-3) + 20\/y. Solve -5*n - 3 = -j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7739384517 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 6. Let r be h(3). Let m(f) = -f**3 - f**2 + 36. Let k be m(r). Suppose s + k = 4*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9\/2, -1.201, -3, -1\/12 in decreasing order.\nAnswer: 9\/2, -1\/12, -1, -1.201, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -15. Solve -3*a - 4*j = 2, -2*a + c*j = 3*a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 + n. Suppose 6*d - 11 + 5 = 0. Let o be 30\/(-180)*(-29 - d). Give j(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 11:36 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7296*w*z - 9988*z wrt w?\nAnswer: 7296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-165)\/150*((-182)\/(-77) - 2). Let k be 2\/6*(-8)\/(-12). Which is the fourth smallest value? (a) k (b) -0.5 (c) -1\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7906 + 8250. Calculate the remainder when r is divided by 154.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2. Let k(s) = 3*s**2 - 4. Let v(o) = -k(o) + 2*x(o). Let u(m) be the second derivative of 3*m**2\/2 + 3*m. Give -4*u(w) + 3*v(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 22, 1 in descending order.\nAnswer: 22, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375637 is divided by 4486.\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:26 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14) - 34\/68?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6716114 + 10?\nAnswer: -6716104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46288111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40594753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/75*-3)\/(((-20)\/(-4))\/325).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25607854 (base 9) to base 16.\nAnswer: -c00145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45577962929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/4 or -9?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 4*q**2 - 10*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 - 284*r - 3376. Determine y(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + -69 - (0 + 3)*-1. Let r = q + 62. Solve 0*c - 3 = c, c = 3*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1.5, 18 in decreasing order.\nAnswer: 18, 1.5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2277 - 2250. Calculate the lowest common multiple of 1 - (-3)\/(6\/28) and c.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (-6 - (-7 + 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = s - 3*w, 3*w = 2*s - 6. Suppose -130 = -s*q - 2*x, 0 = -2*x - 0 + 4. Suppose 15 = 3*r - q. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37518093 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 21*g**5\/2 + 837*g**4 + 24243*g**3\/2 + 8235*g**2 = 0?\nAnswer: -61, -18, -5\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) 3\/2 (b) -4 (c) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 75159 divided by 3\nAnswer: 25053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(5)*-3 - 3*sqrt(15)\/sqrt(3))*-3)**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*n + 4, -n + 33 = 3*n + 5*a. Suppose -u + 5*u = -n*p + 18, -p = -4*u + 3. Suppose -36 = -u*d - 2*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.06 - 82.5354297.\nAnswer: -78.4754297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 4*d - 6. Let f(n) be the third derivative of -n**5\/60 - 6*n**2. Let r(m) = 3*f(m) - i(m). Is r(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2754\/459*(-116)\/2*(-5)\/(-30)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -519 * -0.19\nAnswer: 98.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254016?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 0*a)*(25 + 24 - 7)*(3 - 3 + 1)*(-3 + 0 - 3).\nAnswer: 756*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 - 17*l + 4. Let n(t) = t**2 + 2*t - 2. Let d(k) = -j(k) - 6*n(k). What is d(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 972, -19538 in decreasing order.\nAnswer: 972, 2, 0, -19538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d - 3. Let c be x(2). Let i(f) = -f**3 - 3*f**2 - 10*f + 19. Let t be i(-6). What is the greatest common divisor of c and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 944\/6551 or 0?\nAnswer: 944\/6551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.342 - 0.692. Let q = h + -22.7. Which is the nearest to -6\/7? (a) 4\/3 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + q**2 - 2. Let d = -3465 + 3464. Calculate y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Is (-18 + 3)\/(a - 2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 8660751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13415 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Let f(b) = 30*b - 5. Determine -f(d) + 6*k(d).\nAnswer: -24*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 25.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j - 20*j**5 - 14*j + 67*j**5 wrt j.\nAnswer: 940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -21, -48, -95, -168, -273, -416?\n\"Answer: -b**3 - b**2 - 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -64.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (276115\/(-63112))\/(((-2)\/(-4))\/((-12)\/(-3)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**2 + 6*s - 1. Let f be q(-4). Let x = 338587\/6 + -56431. Sort -2\/3, -5, x, f.\nAnswer: -5, f, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10869, 21756, 32643, 43530, 54417, 65304?\n\"Answer: 10887*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let a(t) = -4297214*t. Give j(a(b)).\nAnswer: -4297214*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -7. Let y = u - -14. Suppose f - y = -f. Calculate the highest common divisor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 61*c**2 - 42*c - 28. Let z(g) = -240*g**2 + 165*g + 110. Let p(h) = -55*j(h) - 14*z(h). Let w(k) = -4313*k**2. What is p(w(n))?\nAnswer: 93009845*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 76. Let a be v(22). Let h = a - 94. Suppose -72 = -h*t + 4. Calculate the greatest common factor of 76 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4436033?\nAnswer: 7, 23, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*d - 9, 6*d - d - 1 = g. Let j be 21\/g - (-3 + 0). Let w = 48 + -51. Which is the nearest to 0? (a) w (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36066448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + p**3 + 56*p**2 + 9*p**3 - 11*p**3 to x*p**3 + m*p**2 + l*p + a and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248 - -252. Let l(x) = x**3 + 2*x**2 - 2*x - 2. Let o be l(-2). Let h be (4 - p)\/(-1 - o). Which is greater: h or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/4, 1\/4, -0.008?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k)**45)**(-42)\/(((k\/k**2)\/k)\/(k*k**(-6)\/k)*k\/(k\/((k*k\/(k*k\/((k*k**(1\/4))\/k)*k))\/k)*k)*k\/(k*k*k**(-4))) assuming k is positive.\nAnswer: k**(9433\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17173.\nAnswer: 13, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2910 = -2*n - 16*y + 20*y, 4*n = y + 5799. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2\/21, -41 in ascending order.\nAnswer: -41, -2\/13, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus -7146?\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 6) to base 9.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 16058\/(-2898) + 1\/(-9). Suppose d - 3*k + 69 = 2*d, 4*k - 64 = -d. Suppose 79*m - d*m = 0. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 102753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1 + 2*p + p**2 - 4*p. Let o(x) = -x**3. Let l(t) = 2*o(t) - 2*s(t). Factor l(g).\nAnswer: -2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 + 191 - 5*r + r + 2*r**3 - 91 to the form h*r**3 + u*r**2 + a + f*r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490230 and 780?\nAnswer: 980460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**1)\/h)**(1\/8)\/(h**0)**28 assuming h is positive.\nAnswer: h**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b = 1828 - 8659. Calculate the greatest common divisor of 46 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -45\nAnswer: -31\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 + 8*h + 15. Let j be u(7). Let a = j - -3329. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.767856 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -0.1, 0.2, 2, -2.46?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*6*-2*(2 + sqrt(3872))*2)**2.\nAnswer: 14598144*sqrt(2) + 321490944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1026 + 1202. What is the least common multiple of l and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-9)\/(-3)*-2. Suppose -2*o + y = -o. What is the second derivative of 4*u**4 + u**o - u + 2*u + 0*u**4 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 41 = 137. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56550, -226194, -508930, -904758, -1413678, -2035690, -2770794?\n\"Answer: -56546*j**2 - 6*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181\/69 + 22\/23. What is the closest to -1\/3 in 19\/4, n, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0226995892 to six dps.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = -7*c + 299 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 451 = -2*g, -209 = -2*g + g + 3*r. Suppose g = -5*k + 8. What are the prime factors of (34\/(-6))\/(4 + 170\/k)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*m**6 + 773*m**4 - 18*m**3 + m**2 - 49*m - 5860 wrt m?\nAnswer: 7080*m**3 + 18552*m - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85856 - 18942. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10296 and 1144.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/3 - 5*g**3\/3 + 2*g**2 + 4*g\/3 - 8\/3 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 87. Calculate the greatest common factor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.359 - -0.359. What is the third biggest value in y, 4, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*a**4 - a*c**2 + 538*c**2 wrt a.\nAnswer: -88*a**3 - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 620031 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 21*w - 22. Let o be i(19). Calculate the greatest common divisor of o and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2571 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/10)\/((-33)\/(-110)). Suppose 15 = 2*u + 3*d, 7*d - 3*d + i = 2*u. Solve u*w - 2*w = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 421, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/9)\/(-1))\/(50\/75)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/54 and 4\/42435?\nAnswer: 254610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 2*u - 2*u + (3*u + 0*u - u)*(-2 + 2 - 2 + (-1 + 1 + 1)*(-1 + 0 - 3)).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -4, -1, -34.\nAnswer: -34, -4, -1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*y + 38, -s + 3*y - 2*y = -10. Suppose 10 = 2*b + s. Suppose -5*z + 8 - 38 = -4*l, -l + b*z + 9 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - 3*o - 21. Let h be d(-6). Sort 1, h, 13, -5 in ascending order.\nAnswer: -5, h, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 13*o - 2. Let x be y(-10). Let t be 8\/x + (-12)\/(-7). Suppose 2 = t*s + p - 0, 0 = -2*s + 2*p + 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1656 - 4?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - -58. Suppose 2*j - t + i = -6*t, -2*j + t = 62. Find the common denominator of 43\/6 and ((-990)\/12)\/11*j\/(-145).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y - 26 = 219 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 8. Let q(s) = -10*s + 126. Is 14 a factor of q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - c**2 + 1. Let f be t(-1). Solve -f*w + 6 = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -89, 2 in ascending order.\nAnswer: -89, -12, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1194967860 to the nearest integer?\nAnswer: 34568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -11.99999896. Round i to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66092 divided by -4?\nAnswer: 16523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*s + 729 = 2799. Suppose -n - 16 = -3. Let u = -31 - n. Is u > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, u: 4}. What is prob of picking 1 n and 3 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 times -3?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -150. Suppose -2*l - 5 = 3*l + y, 5*l = y - 15. What is the remainder when (11*1)\/(3 + l) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -24*k**2 + 324*k - 30. Let a(w) = 3*w**2 + 2. Let z(m) = -15*a(m) - t(m). Find the second derivative of z(l) wrt l.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1563, -3242, -4917, -6588, -8255, -9918?\nAnswer: -11577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1995*c. Let x(o) = 2*o**2 - 15*o. Give k(x(v)).\nAnswer: -3990*v**2 + 29925*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877003840 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 - -64) + 27 + (-9 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288746344 divided by -4.\nAnswer: -72186586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349\/2 - -2423\/14. Let k(c) = -8*c - 2. Let g be k(-1). Suppose 0*f - 12 = g*f. Is p smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 9*d - 6. Let b be h(-7). Let m be (-2)\/b*45\/(-18). Is 1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1039 - 37339. Round j to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.3 + 8. Let c = 1386 - 1396. Are j and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/((-8)\/2)*236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 10*u + 286. Determine n(-23).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 4*a**2 - 4*a**3)*(0 + 0 - 2) + (-4*a**3 + 7*a**3 - 4*a**3)*(-116 + 235 - 84)*(4 - 5 + 3).\nAnswer: -62*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2721 = 14*l - 16*l, -1362 = -l + b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 120 = 0. Let o be -1*((-2)\/(-1) - (-2 + 4)). Suppose 2*f = 3*b + 72, 124 = -o*f + 4*f - b. What is the lowest common multiple of y and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301096891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/(-8))\/((-120)\/19280) is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a + 9*a**3 - 6*a - 5*a**2 - 3*a + 2*a**4 + 1 - 2*a**2 to the form l + g*a**4 + s*a + z*a**2 + b*a**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 71*p**2 + 36*p + 12. Is i(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20848332468 - 0.04.\nAnswer: -20848332468.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -424*q + 421*q + 18, -4*q + 2*b = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438302*o + 72 = -438304*o, -3*o = 2*y + 102 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1565ba9 + -4?\nAnswer: 1565ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781.128 decades in years?\nAnswer: 37811.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 4*d + 11. Calculate z(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124, -126, -144, -184, -252?\n\"Answer: -b**3 - 2*b**2 + 11*b - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*w = 108*w - 40*w. Solve -10*u = -7*u + 2*d + 5, w = -3*d + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = 0. Suppose 0 = 3*f - 7*f + 24. Let g = -1 - -3. Solve m = -f*o + g*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 673, 1339, 2005, 2671, 3337, 4003?\n\"Answer: 666*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 45. Let v(t) = 302*t - 188. Let g(d) = -94*d + 63. Let a(k) = 16*g(k) + 5*v(k). Calculate 5*a(r) + 8*i(r).\nAnswer: -2*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 33264270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pfpppppfppfpppppfpp?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 125. Solve b = f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22 - (-2 - 4\/(-2)). Let a(v) = 2*v**3 - 7*v**2 + 3*v + 4. Let g be a(4). What is the common denominator of g\/w + 4 + 2 and -19\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*g**3*j**2 - 242*g**2*j**2 + 53*g**2 - 5*g*j + 409*g - 14*j**2 - j + 11 wrt g.\nAnswer: -138*g*j**2 - 484*j**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*y**2 + 513*y + 517*y - 1542*y + 512*y - 113*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7795 + 7425. Is j not equal to 2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301421130 + 4?\nAnswer: -301421121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + h = 22, -2*z - 2*h + 23 = -z. Suppose 0 = -5*s, -4*j - 4*s + z = -87. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**4 + 17*p**2 - 272.\nAnswer: -16*p**3 + 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.0319cm in kilometers?\nAnswer: 0.009540319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 776 and 274848.\nAnswer: 26660256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 27. Is g greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832209 = -4923*h + 241449 for h.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 - -7. Suppose 3*k = -0*k. Let x be (-1)\/(-4) + 0 + k. Which is the closest to 2\/3? (a) x (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a second in milliseconds?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 5:49 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -39818.499 to the nearest 100.\nAnswer: -39800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17540925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 + 138. Suppose -194 = -2*l + 4*r, 5*r + 22 = -4*l + a. Suppose l = 3*t - 81. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**6*c*c**(1\/2)*(c**(-4)\/c*c*c)**(2\/55) assuming c is positive.\nAnswer: c**(923\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64922, 129906, 194890, 259874, 324858, 389842?\nAnswer: 454826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80668 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068 is divided by 2041?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from jcoznjcd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929763834 to the nearest integer?\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4\/(-6) - 372\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 2\/5, -1, -1\/2, -1.6, 20.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27057113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -10. Let b = v + -9. Let t = b + 1. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 + 291. What is the closest to 0 in g, 0.1, 5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*v + 155*v = -6480 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 11*j - 200. What is the remainder when 2 + (-116)\/(0 + -1) is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*f, 5*z - 2*f = -f + 162. Let i be 0 + 3\/(-9)*z\/(-5). Is i greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121355 (base 6) to base 12\nAnswer: -625b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + sqrt(612) + -1 + 0 - sqrt(612))**2*-5 - (-3*(sqrt(612) + 0) + -3)**2.\nAnswer: -8582 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d, 2*s = d - 4*d + 40. Let o = 8 + -11. Let h be 1 + o\/((-3)\/49). Calculate the greatest common factor of h and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 2. Let z(q) = q**3 + 5*q**2 - 5*q + 8. Let h be z(y). Solve h*m = -3 - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48912265 divided by 315563.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*t + 26, 5*b - 1492 = -4*t - 1428 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13.8. Let j = 0.83 + d. Let t = j - 0.01. Round t to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*h = 371*h - 42. Put h, -2, -5, -0.1, 54 in decreasing order.\nAnswer: 54, -0.1, -2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.0003 + 33. What is n rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpplicppllpifpcpcl. What is prob of picking 2 c, 1 p, and 1 f?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 168403676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 8 - 0. Let x = -7 + 11. Suppose 0 = -x*q - 2*n + 5*n, -4*q + 2*n + 4 = 0. Are g and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v**4\/13 - 218*v**3\/13 - 642*v**2\/13 - 342*v\/13 + 10\/13 = 0. Calculate v.\nAnswer: -1, 1\/36, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (10 - 20) + 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*((-40)\/(-52))\/5\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14434 is divided by 1668.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 + -3?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 1\/4*z**4 - 1\/2*z**2 + 0*z**3 + 1 - 3*z. Is m(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 8063 = -1437. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (23 - -5) - 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8022570.\nAnswer: 2, 3, 5, 267419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30503 + -4?\nAnswer: 304ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 6. Let t be 128\/(-22) + x\/(-11). What is the remainder when (-14)\/21 - 232\/t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111 + 0?\nAnswer: 10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*p + 1851, -10 + 4 = -2*p. What is the common denominator of 2584\/t + ((-2)\/(-2) - -2) and 127\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22079\/2 - 10757. Let c = -3098\/11 + w. Calculate the common denominator of (-33)\/468 - 8\/(-52) and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/14 and 61\/3364.\nAnswer: 23548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 111, 243, 437, 699, 1035, 1451?\n\"Answer: p**3 + 22*p**2 + 3*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z. Suppose z = 2*p - p. Suppose p = 5*w + h - 12, -2*w - h = -w. Put 4, w, 1 in ascending order.\nAnswer: 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41\/(-3)*(-12 - -4 - -5) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/12, -2\/9, -3\/2, -0.1, 1\/434?\nAnswer: 1\/434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*r - j - 12, -4 = 2*j. What is the least common multiple of 6 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + (-11 + -13 + 49 + 2 - 16)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64603.738 take away -0.3?\nAnswer: 64604.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + t**2 - t**2)*(2*t**2 + 11*t**2 - 24*t**2) to the form q*t + x + k*t**3 + a*t**4 + f*t**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 92*f**2 - 12*f - 553. Let q(w) = -93*w**2 + 10*w + 554. Let j(o) = 3*k(o) + 4*q(o). Differentiate j(v) wrt v.\nAnswer: -192*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21579619.4 rounded to the nearest ten thousand?\nAnswer: -21580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8053 = 2*t + 2*b - 4007, t = -4*b + 6024. What are the prime factors of t?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1006*b**2 - 116*b - 1022*b**2 - 15634 - 65*b wrt b.\nAnswer: -32*b - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 39, 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 0.1, 4\/61?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/2 + 61*l\/2 - 437 = 0 for l.\nAnswer: 23, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b97 + b270?\nAnswer: 14137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 22. Let b be o(-21). Let f be (-165)\/(-44) - (b - 6\/(-8)). Let x be (-52)\/(-12) - f\/(-6) - 1. What is the greatest common factor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1497091.15 to the nearest ten thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119083 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/7))**19*((p\/(p*p**(-3\/5)))\/p)**47 assuming p is positive.\nAnswer: p**(-1133\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10 + 10. Solve -l*s = 2*b - b - 6, 4*b - 6 = 2*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221100 (base 4) to base 15.\nAnswer: -bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from autsepptpsuset. What is prob of picking 1 e and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = s. Suppose -2*n - 3*c + s = -5, -16 = -5*n - 4*c. Solve 0 = 2*y + n*q + 6, y = 2*y + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*c - 325*c + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3487361220.\nAnswer: 2, 3, 5, 7, 2767747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 31, -2, 0.78, -0.2, -2\/17, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -118*c**4\/13 - 396712*c**3\/13 = 0. What is c?\nAnswer: -198356\/59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 701*x**2\/2 - 138. Let m(l) = -2*l. What is m(o(c))?\nAnswer: -1402*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siillilblqs. What is prob of sequence is?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4*r - 109164*b**4 - 2*b**3*r + 2672*b**2*r + 24*b*r + 6 wrt b?\nAnswer: -72*b*r - 2619936*b - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25680654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 114*h - 1241. Let a be y(-10). Suppose 5*l + 5 = 3*x + 2*x, l = -5*x + 5. Sort x, -37, a in decreasing order.\nAnswer: x, a, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. Suppose 0 = m*c - 3*b - 12, 0 = 3*c - 3*b - 15. Let n(w) = 3*w**2 + 3*w - c + 3*w**2 - 8*w**2 + 2. What is n(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 643 = -5*r + 5659. Calculate the greatest common factor of 10 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 55. Suppose -2*y - 4*p = 2, -y + u*p + 0*p = -7. Suppose n + 2*f + 1 + y = 0, 3*n + 4*f = -20. Is -12 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977*-75.1086.\nAnswer: -73381.1022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9030\/(-13244)*(-16)\/(-6)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3729, -3733, -3747, -3777, -3829?\n\"Answer: -f**3 + f**2 - 3729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -13, -5 in ascending order.\nAnswer: -13, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let a = v - 0. Differentiate 0*r**4 + 3*r**4 + 0*r**a + 2 with respect to r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*k - 222*k + 56. Solve k = 17*q - 21*q + 3*w, -5 = -w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -94, -211, -376, -589, -850?\n\"Answer: -24*r**2 + 3*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88440 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025064*5.\nAnswer: 5125320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -66132 (base 7) to base 12\nAnswer: -96a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78780 or -2?\nAnswer: 78780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w. Let n(l) be the third derivative of -l**3\/3 - 13*l**2. Let q(f) = 2*f + 6. Let u(j) = -6*n(j) - 2*q(j). Give u(o(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 + 0*i + 1\/8*i**4 - 41*i**2 - 16\/3*i**3. Let v be z(12). Solve -v*s + 4*o - 2*o = 6, -2*s + 3*o = -7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12685 - 12690. What is the closest to 0.1 in m, -2, -155?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14 + 15*k - 24*k**2 + 5*k**2 + 5*k**2 + 13*k**2. What is the remainder when 152 is divided by w(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/11))**(2\/3)*y\/(y*y*((y\/(y*y**4))\/y)\/y)*y**0 assuming y is positive.\nAnswer: y**(167\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 5, 1, 8 in decreasing order.\nAnswer: 8, 5, 1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8499*c**5*w**2 - 13*c**3*w**2 + 3*c**2*w**2 - 251874*c**2*w wrt c?\nAnswer: -509940*c**2*w**2 - 78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.1 take away -53956.9049?\nAnswer: 53910.8049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 36 = 5*z, -3*k = 48*z - 53*z - 32. Factor 75\/4*j**k + 18*j**2 - 3*j + 0 - 135\/4*j**3.\nAnswer: 3*j*(j - 1)*(5*j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53\/2 (b) -0.4 (c) -3 (d) 4\/9 (e) -16.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101110 + 100001110111010?\nAnswer: 100000001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 88206. Let w(m) = -3*m. Give w(o(r)).\nAnswer: -6*r + 264618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z - 402 - 228. Let j = -313\/7 - z. Which is the second biggest value? (a) 4 (b) j (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -12. Find the first derivative of -4 + 7 + z**h - 6 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 649*y**2 - 3*y - 5. What is the hundreds digit of n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95704356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207 + -207. Suppose 5*d + i*d + 10 = 0. Sort -1, d, 4, 10 in decreasing order.\nAnswer: 10, 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/4 - 18*t**2 - 459*t\/4 - 195\/2 = 0. Calculate t.\nAnswer: -13, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -2.9.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -2868?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -51097*u - 13183034. What is g(-258)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2.91.\nAnswer: 5.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*y - y. Let w be 14 - y\/6*-6. Is (-424)\/(-20)*w\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*v + 28 = 0, -149*g + 4*v + 21 = -146*g. Solve 0 = 19*z - g*z - 60 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4587 + 9789 = 599*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**(-22))))\/j**(-5\/8)*(j**(2\/19)\/j)**(-20\/3))**1 assuming j is positive.\nAnswer: j**(-6571\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((101\/((-31815)\/(-126)))\/(14\/63))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + q + 1. Let f be i(-1). Which is greater: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2))**(-1\/42)*(h**(2\/15)\/h)**(3\/2) assuming h is positive.\nAnswer: h**(-134\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 10. Let v be g(-9). Suppose 12*y = 4*y - 88. Let d be ((-2)\/(-1))\/((-2)\/(-3)). Sort y, d, v.\nAnswer: y, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.021.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1486*y**4 - y**2 + 565*y wrt y?\nAnswer: -35664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 17*f - 12. Let o be u(18). Suppose -o = -2*n + 3*n. Let h be (-28)\/1*(n + 4). What is the highest common divisor of h and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 85*u**2 - 480*u - 2. Give g(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18212 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1632 and 9324?\nAnswer: 1268064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 + 4*v + 7. Let x be i(6). Let p(n) be the second derivative of 0 - 1\/2*n**2 - 27*n + 1\/6*n**3. What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*l + 5*l + 10, 12 = 5*u - 2*l. Let g(r) = -2*r**2 + r**u - 14*r + 2*r**2. Let q be g(14). Solve q = 4*d - 2*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152*a - 1130*a + 35046 = 0. Which is greater: 0.02 or a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -40*d**3 - 13*d**2 + 126*d - 365. What is a(3)?\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70453*h**2*m**2 + 98*h**2 - 29*m**2 + 801*m - 150 wrt h?\nAnswer: 140906*h*m**2 + 196*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) + (-10)\/(-6). Suppose 4*p = 4*i, 3*p + i = -2*p. Let d = z + p. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4 - 2. Suppose -2*m - n*j + 591 = 0, m + 0*m = -3*j + 294. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, u: 3, m: 6, z: 3, e: 1}. What is prob of sequence mmu?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25444, 10, 19\/2 in descending order.\nAnswer: 25444, 10, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l*l*l\/l**19*l) assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4530 or 4524?\nAnswer: 4530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/60 + 19*f**4\/24 - 32*f**3\/3 + 14*f**2 - 6*f. List the prime factors of v(-26).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*d - 46, 2*d + 5*l - 11 = d. Let t be 111\/d - 2\/7. Suppose -t*i + 68 = -227. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -64. Calculate the greatest common factor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35235 (base 7) to base 14\nAnswer: -341c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1290431349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11387*i**2*j*x + 2*i*j*x + 222*i*j - 4*x wrt i?\nAnswer: 22774*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3224 divided by 806\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000723 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -19*c**4\/6 + 33*c**2\/2 + 20*c. Find the first derivative of x(y) wrt y.\nAnswer: -76*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 1 + 1)*(b - b - 7*b + (326*b + 410*b - 354*b)*(-1 + 2 + 2)) in the form a*b**2 + j*b + x and give a.\nAnswer: -2278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcz when three letters picked without replacement from {c: 1, z: 3, t: 1, a: 1, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 527, -2228, -2\/19, 0.01, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*h + 20*h - 204. Solve 1 = -t + h*b - 1, -2*b = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*h + 431*h + 30 - 23 - 2 - 5.\nAnswer: 316*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -25. Let i = -34 - -49. Solve -5*h = 3*k + i, f*h - h = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 3\/(-2)*2. What is the third derivative of 5*n**2 - n**2 + 9*n**6 - k*n**2 - 5*n**6 wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8023369602 divided by -3.\nAnswer: 2674456534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.05185 - 0.05185. Which is the nearest to -1? (a) p (b) 0.277 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1568*l - 5 + 2 - 1651*l + 2.\nAnswer: -83*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (448 - 23) + 9\/((-36)\/8)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -33.\nAnswer: -33, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6+6507808087001\nAnswer: 6507808086995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-14)*u)\/u))\/(u*u**(2\/23)\/u)*(u\/(u\/(u*u*(u*u\/(u**(-4\/5)\/u)*u)\/u*u)))**(-8\/11) assuming u is positive.\nAnswer: u**(11344\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.1 (c) 3\/7 (d) -2\/7 (e) -3 (f) 3 (g) 6\/163\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968 - 2*j**2 + 484 + j**2 + 484 + 0*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 0*h + 4\/5*h**2 - 2\/5*h**5 + 2\/5*h**3 - 4\/5*h**4 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:52 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 - 1 + 1 + (-3 + 1 + 5)*(3*t**4 - 5*t**4 + 3*t**4).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38995)\/2)\/(2\/(-4)). Suppose -37*k = -26*k - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by -1*9 + 148 + 2?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.3899001 seconds to weeks.\nAnswer: 0.00029330340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**9\/19656 + g**8\/10920 - g**7\/5460 - g**6\/2340 + 25*g**3\/3 + 51*g. Let m(v) be the second derivative of q(v). Factor m(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 2115?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((14\/(-63))\/((-1)\/(-6)))\/2. Are 1\/3 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34431517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7*v. Let d(c) be the first derivative of -2*c**2 + 29*c - 3. What is the remainder when d(v) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -753\/32 + 34271\/1504. What is the common denominator of -55\/216 and s?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23787 = 53*a + 21667 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + 7853?\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8885545l in millilitres?\nAnswer: 888.5545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 16*r + 29. Let k(z) = -17*z - 29. Let o(b) = -4*k(b) - 5*t(b). Is o(-11) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 1224*p - 19893. What is j(16)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -1 + -4 + -8 + -7.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853121994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y + 11 = -5*o, 4*o = -y - 6. Let f = -2 + 1. Let d be (-10 + 6)*1\/f. Is o greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -29. Let l = 13 - t. What is the third biggest value in l, 0, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323124 (base 7) to base 4.\nAnswer: 222132100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 33 = 19. Suppose -9*x = -5*x - 16. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 860 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4303530*n*r - 5340563*n wrt r?\nAnswer: -4303530*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20 = 5*x - 9, -5*u + 50 = 4*x. Let s(m) = 2*m**3 - 2*m**2 + m - 4. Let w be s(3). What is the highest common factor of u and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 2*q**2 - 20*q - 48. Give s(-4).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1039\/6 + 171. Let f = v + 5\/3. Let p be ((-4)\/(-14))\/(0 + -2). Which is the biggest value? (a) p (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568845 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 23*s + 18*s - 50*s in the form n + m*s and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113 + 348 - 6)*(-l + 3 - 3) + 3*l - 4*l + 0*l in the form v + a*l and give a.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/480 - 3*k**4\/16 + 17*k**3\/12 - 11*k**2 + 14*k. Solve n(a) = 0 for a.\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -290 in 4, -5, 9, 0.04, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-16))\/((24 - 23)*(-1)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (237\/(-158))\/(-3*1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.5, -1, -12\/11861?\nAnswer: -12\/11861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - g**2 - g + 1. Let h be i(1). Let x be h\/(-1 - (1 - 1)). Solve 4*t + 2*k - 12 = x, 4*t + 0*k - 12 = -k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2716895200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422281727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 217 + 214 - 652 + 221 + 1426*b**2 in the form m*b + c*b**2 + q and give c.\nAnswer: 1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 246 - 3?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4580 by -73.\nAnswer: -4580\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 66. Suppose -l - 12 + 23 = k. What is the remainder when 98 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1181*-7341\nAnswer: 8669721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 1, z: 4, h: 3, f: 3, i: 6}. What is prob of picking 1 l, 1 f, and 1 k?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 66, 228, 538, 1044, 1794, 2836, 4218?\nAnswer: 5988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196580 divided by 1.\nAnswer: 196580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 9. Let o = q + 11. What is the smallest common multiple of o and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 648 - 639. Let k = 1410 - 1407. Which is the nearest to 2? (a) k (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Suppose 153*v - 126*v = 27. Let t(j) = -1 - j + 8*j - 1 + j. Give v*t(a) + 6*g(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 164372146 to the power of 1\/2, to the nearest integer?\nAnswer: 12821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1473 and 165?\nAnswer: 81015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(8\/7))**(-2\/5) assuming v is positive.\nAnswer: v**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 x, and 1 q when three letters picked without replacement from muuugmuuquuguuuggx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3988.814 years?\nAnswer: 39.88814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 - 1. Suppose -4*y = y + 5. Let l be p(y). Let i = -5.4 + 5.6. Which is the third biggest value? (a) -1\/4 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110, 13, -22, 35, 214, 545?\n\"Answer: 5*k**3 + k**2 - 135*k + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*(-4 - -3)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 419, -9, -28, -3, 4 in increasing order.\nAnswer: -28, -9, -3, 4, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6932112 by -176.\nAnswer: 39387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -171*c - 562. Give n(-4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 + 9*p**2 + 15*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -225.88 and -17457.\nAnswer: 3943187.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14210332 - 10?\nAnswer: -14210342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/1599)\/(43*84\/(-23478)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3924 = 4*b - 5*b, -3*b = -3*r - 11745. Let o(s) = -b*s**2 + 3918*s**2 + s**3 - s - 5. Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186151 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 35120.\nAnswer: 386320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3789049 + 3789023 + 527*p - 161*p + (2 - 2 + 1)*(-3*p + p + 0*p))*(-p**2 + p**2 - 2*p**2) to the form f*p**2 + w*p**3 + y + m*p and give w.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4735 - 3140. What are the prime factors of j?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**3\/6 - 8*p**2 + 83*p + 2. Let x(a) = 4*a. What is x(v(d))?\nAnswer: -4*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 19.6588?\nAnswer: -5.89764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509920429.\nAnswer: 109, 137, 101113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k + k)*(0*k - 2*k + 4*k) + 3*k - 3*k - k**2 + (-2*k + 2*k + 2*k)*(-3*k + 0 + 0).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) + 23136\/(-286). Let b = 81 + r. What is the second biggest value in b, -1\/5, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*t - 13 - 23, -46 = 59*t - 67*t - 2*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*h**2 - 529 - 179 + 2*h**3 - 72*h**2 + 244*h wrt h?\nAnswer: 6*h**2 + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 230937 and -2?\nAnswer: -461874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 901.4 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/992 and 25\/64?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 2, f: 1, v: 1, r: 1}. What is prob of picking 1 f and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 369445.9kg?\nAnswer: 369445900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 6)*(4*b**4 + 21*b**4 - 10*b**4) + b**4 - 6*b**4 + 3*b**4 to the form c*b**4 + d*b + f + s*b**3 + p*b**2 and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11)*-1*6 - (4 + sqrt(11))*-3) + ((sqrt(1100) - sqrt(1100)*2) + sqrt(1100) + sqrt(1100) + sqrt(1100) + (sqrt(11) - sqrt(121)\/sqrt(11)*-5))**2).\nAnswer: -15*sqrt(11) + 37240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)\/(q*q**(-17)))**7 assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/2 + 4*w**2 + 3*w. Is 10 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 - b + 22*b**2 - 1 - 11*b**2 - 6*b**2 to the form o*b**2 + p + a*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/77*7)\/((-1519)\/(-31899)).\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 times 1612?\nAnswer: -364312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a**3 - 3)*(2 + 3 - 4) + 4095*a**3 - 252885*a**2 + 252885*a**2.\nAnswer: 4093*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/5 + 941*w**3 + 1845144*w**2\/5 + 241406144*w\/5 + 60236288\/5 = 0. What is w?\nAnswer: -392, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/31633 and -13\/76823?\nAnswer: 537761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4*g - 680*a**3*g - 679*a**2 - 5*a - 7*g + 89296 wrt a.\nAnswer: 12*a**2*g - 4080*a*g - 1358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from jrrwwrwriru?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*v = 15. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**4 - 865*m**3 + 875*m**2 + 865*m - 870 = 0?\nAnswer: -174, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - -0.05. Let n = 0.2 - h. Let d = -0.2 - -0.5. Which is the closest to -0.1? (a) n (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblb. What is prob of picking 1 b and 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from aiai?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5483?\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let k(g) = -22*g - 33. Determine -33*f(i) - k(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/350*44\/(-1485)*-15*39?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 + 10*y**2 - 164*y**3 + 6*y**2.\nAnswer: -164*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020 - -11?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 285 = 157. Suppose 4*j - 15*h + a*h = 21852, -5*j = -h - 27329. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94719189.\nAnswer: 3, 17, 193, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1470 and 47010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -105578*p + 527488. What is w(5)?\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345.89594 rounded to the nearest 10?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v + 20. Let b be z(-8). Is (-1)\/((-16)\/(-844))*b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12868 - x**3 - 7*x**2 + 6435 + 3*x**4 + 6416 in the form t*x**2 + s*x**3 + l + m*x + y*x**4 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -4 (c) -30 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 52*j - 35*j - 17*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68, -69, -70, -71, -72?\n\"Answer: -o - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11496 = -0*s. Suppose -125 = -2*x - 133. List the prime factors of s\/48 - 1\/x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-711)\/(-4740))\/((-198)\/96).\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - -1) - (10 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -709476, -709467, -709456, -709443, -709428, -709411?\n\"Answer: r**2 + 6*r - 709483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n)\/n*n)**10 assuming n is positive.\nAnswer: n**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 7:27 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9057073031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7.5. Let h = c + 2.405. What is h rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s + 1298*s + 19469 + 60523 = 0 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u - 16. Calculate the remainder when 24 is divided by v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 + g + 5. Suppose -j + 2 = c, -2*c + c = 3*j - 2. Let w be f(j). Is -2*w\/((-40)\/348) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430054335?\nAnswer: 3, 5, 269, 35527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 35*s**3 - 3170*s**2 + 6440*s.\nAnswer: 5*s*(s - 28)*(s - 2)*(s + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3003952\/311 - -9659. Suppose -n + 4 + 5 = -2*m, -3*n = 5*m + 17. Is n != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(7) - (sqrt(7) + sqrt(49)\/(sqrt(63)\/sqrt(9)))))\/(sqrt(40)\/(4*sqrt(8))*-2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/5)\/(36\/40). What is the second biggest value in -1\/2, a, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1524, 0.5, 1\/8, 1\/4.\nAnswer: -1524, 1\/8, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 5*d - 7. Let g(m) = -m**2 + m. What is -6*g(i) - o(i)?\nAnswer: 2*i**2 - i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - a - 113 = -5*a, l + 45 = 5*a. Let p = l - -65. Suppose -p*v + 35*v = 80. Calculate the least common multiple of v and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32*(-3)\/(-18)*3. Let p = r - 74. List the prime factors of (p\/8)\/(3\/(-12)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2116467.8 + -41.\nAnswer: 2116426.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - n + n + 0*n - 4*n + 5*n + (-4*n + 3*n - n)*(-1 + 3 - 1) - 3*n + 7*n - 8*n + 2*n + n - 4*n + (n - n + 2*n)*(3 - 2 + 1) - 17*n + 6*n - 3*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 40, 5, 1\/4, -1\/4, -25\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123*b**4 - 16*b**4 + 2*b**4)*(-1 + 0 + 2)*(3 + 2 - 2)*(1 + 2 - 1) to the form a*b**3 + k*b**4 + y*b**2 + x + n*b and give k.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*w = 2185 + 16975, -f = 2*w - 4805. Is f a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 4941 + 4868 - 9809.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.818 (b) -1\/4 (c) -1.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6) - 1)*-27. Suppose -6 = 2*g, -4*n + 6 = -g - 29. Suppose 104 = r*i - n*i. What is i rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001001111010010 (base 2) to base 6.\nAnswer: 25400030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from {x: 11, f: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*-1*sqrt(104) + -6*sqrt(104)*1))\/(sqrt(32) + sqrt(2048) - sqrt(32) - (sqrt(448)\/sqrt(8) + sqrt(56))\/sqrt(7)).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 0.155?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65051039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x - m - 9, -4*x + 15 = -m. Suppose -w - x*t + 9 = -15, -4*t = 2*w - 42. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 22*q + 17. Let m be r(12). Let v be (-2 + -1 - 0) + 1. Put 1, m, 4, v in descending order.\nAnswer: 4, 1, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*j - 17, 6*l - 4*j = 2*l + 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 12*t**2 - 11*t - 5. Suppose -4*i = 2*g + 56, 3*g - 1 + 20 = -i. Let k be x(i). Is -33 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**3\/3 + 7*x**2\/2 + 6. Let k(f) = 21*f + 37*f + 11*f - 66*f. Determine k(c(o)).\nAnswer: -3*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 2*c + 5. Let d(n) = -2*n**2 + 5*n + 11. Let b = -11182 - -11180. Give b*d(h) + 5*t(h).\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd4 + 4492?\nAnswer: 359c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 - 2. Let x(l) = 3 - 497*l + 497*l + 5*l**2. Let n(o) = 6*v(o) + 4*x(o). Let m(u) = 2*u. Determine m(n(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a factor of 69147174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.3. Let u = 65\/2 - 33. Which is the nearest to -1\/4? (a) u (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9251 = -170*q - 524*q - 923 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.2. Let u = 0.1 - r. Let c = 3 - 2. Put -2\/5, c, u in decreasing order.\nAnswer: c, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 109. Let f(z) = 9 - z - 5*z - 1 + z**2. What is f(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18044, 72165, 162366, 288647, 451008?\n\"Answer: 18040*b**2 + b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/14344 and 133\/35860.\nAnswer: 71720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 35552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 7*y + 5. Let o be w(4). Suppose -o = -3*d - 2*d. Solve -d*a - 10 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41221 from 1513136.\nAnswer: 1471915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16902688, 16902690, 16902694, 16902700, 16902708, 16902718, 16902730?\n\"Answer: f**2 - f + 16902688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43984 is divided by 181.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -62*l + 3. Let c be v(-3). Suppose 0 = 8*f - 179 - c. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12914\/5 or 2583?\nAnswer: 12914\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -43552695 smaller than -43552700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 5. Let u be h(-3). Let d = u - -2. Suppose -z - 3*z + 20 = d. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 24*b**2 + 16*b + 31. Is g(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (21 - 50) + 30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*x - 3502 - 17297 = -8919 + 20636 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*s = 0, 0 = -4*i + 12*s - 10*s. Let d(h) = -h + 1. Let t be d(-7). Let u = -6 + t. Put -4, i, u, 5 in increasing order.\nAnswer: -4, i, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4113104.\nAnswer: 2, 257069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 243 = -5*h, 2*h = -5*v + 4*h + 1269. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2885 and 45.\nAnswer: 25965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -18.4. Let g = f - -26. Let n = g - 8.5. Put n, -3, -1 in increasing order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 51870*g - 51836*g + 103706*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + 23*c**2\/2 + 283*c\/4 + 195\/2.\nAnswer: (c + 2)*(c + 5)*(c + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 63*l**2 + 483*l + 123. Give d(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1901 = -5*b + 2*d, 2*d - 141 = 4*b - 1661. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94564 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 205 = -715. Is 19 a factor of h\/(-10) - 39\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 14*r - 112. Let h = -8 - r. What is the highest common divisor of 40 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*z - 21 = 0, -2*z + 0 = 3*f - 3. Suppose -4*b - 9 = 5*l, 3*b - 4*l = -25 - 5. Let r = b + f. Put -2, r, 0 in descending order.\nAnswer: 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.2 + 22. What is the closest to d in 2\/3, 3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13236715 and 2123.7768.\nAnswer: -13234591.2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84*((-80)\/(-28))\/2 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**2 - 4*a**2 + 3*a**2)*(-6 - 4*a + 6) - a**3 + 3*a**3 - 4*a**3)*(0*a**2 - 4*a**2 + 10*a**2).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - (-12 + -2) - -12) + (30 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddduddhxy. What is prob of picking 1 y and 2 d?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 177? (a) 13\/5 (b) -0.2 (c) -1722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) 1.6 (c) -1\/5 (d) -7229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 3. Let z(c) = -2 + 6 - 3 + 4*c - 3*c. Let n = -2 + 3. Give n*t(q) + 3*z(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.145345 kilograms in grams?\nAnswer: 6145.345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4326.2 rounded to the nearest ten?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202406 is divided by 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-4 + 5 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s + f - 8, -f = s. Let a(k) = k**3 + 2*k**2 - 3*k - 3. What is the remainder when a(3) is divided by 18\/(s\/(-2) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d**2 + 310*d - 9. Let f(l) = -10*l. Give f(c(q)).\nAnswer: -160*q**2 - 3100*q + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14326.063715 + 0.0003\nAnswer: 14326.064015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -1319, -3, 72, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*d + 7 = -74*d. Let j be 5\/10 - 0\/3. Which is the closest to -2? (a) d (b) j (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2701 and 1776.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105864631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/15*((630\/441)\/(12\/21))\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -31*r + 1777. What is m(56)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/1)\/((-370)\/148))\/(1\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 85 = -y, 112 = 4*y - 5*t + 430. Let o be 5*-15*(0 - -1). Let v = o - y. Solve 0 = 4*b + s - 2, 4*b + 3*s = 4*s - v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4 - 14. Suppose z*i - 2 = 4. Find the second derivative of 3*o**3 + o + 0*o**i - 3*o wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -0.0513 (c) -0.5 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 2239428681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (12\/(-8))\/3*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3750 and 16.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -254, 3, 5, 2, 0 in descending order.\nAnswer: 5, 3, 2, 0, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -90*h - 8999. Determine p(-100).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 71\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 3*h - 5, -v - 5*h = -7. Let i be 11*(v - (2 + 1)). Let j = -15246 + 45706\/3. Is j at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**7\/5460 - o**6\/780 + o**5\/260 - o**4\/156 - 2*o**3 + 4*o. Let l(z) be the second derivative of x(z). Factor l(r).\nAnswer: 2*(r - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 - 185. Suppose 5*k = -32 + 47. Solve -k*g = b + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54 - 2\/(2 + -4). Suppose -5*a + 5*n = z, 0*a - 2*n + 61 = -5*a. Let g = a - -22. What is the least common multiple of 2 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*l + 113 - 6 = -135 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**3 - 71*t - 2*t**3 - 2 + 68*t to r*t + s*t**3 + i*t**2 + a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86948 + -870319\/10. Let i = 82 + h. Let s(n) = 5*n**2 + 358*n + 6378. Calculate the common denominator of s(-36) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysnbnbooi. What is prob of sequence iboy?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -45, -5, 20, 5, 4 in ascending order.\nAnswer: -45, -8, -5, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/16451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 766387, 766689, 766991, 767293, 767595?\n\"Answer: 302*n + 766085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0631 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 18. Let u = 3\/102779 + -1145369203\/925011. Let m = 1238 + u. What is the closest to m in k, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*c*j*l**3*p - 2*c*j*l**3 + 5*j*l**3*p + 2*j*l**3 + 3*l*p wrt c.\nAnswer: 17*j*l**3*p - 2*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -282, -579, -984, -1491, -2094?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 513 - -6a8?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 + 4 = -3*l, -5*p - 18 = -4*l. Let y(h) = h - h - l*h. Let z(d) = -5*d. Let o(k) = -44*k. Let i(w) = -6*o(w) + 52*z(w). Give i(y(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32093586*m**3*n**2*w - 3*m**3*n*w**3 - 2*m**2*n**2*w**3 + 2*m**2*n**2 - 116*m**2*n*w**3 + 17*m**2*n*w - 382*m*n**2 + 2*m*n*w wrt m.\nAnswer: 192561516*n**2*w - 18*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*v + 11 = -2*v, u + 5*v = 14. Let n be 5\/10 + 195\/126. Let t = -12\/7 + n. Which is the closest to t? (a) u (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46386, -92103, -137820, -183537?\n\"Answer: -45717*d - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9131.832 milligrams?\nAnswer: 9.131832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-44))\/(15\/75))\/(46\/(-1518)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -743541*c**3*q - 153*c**3 - 37487*c**2*q + 2*c*q - 7*q wrt c?\nAnswer: -4461246*q - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -422, -404, -388, -374?\n\"Answer: -o**2 + 21*o - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2 - (-8385)\/(-1365))\/(5\/(840\/9))\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + 4*d)*(-6*d + 3*d + d)*(170*d**3 - 2126*d + 2126*d).\nAnswer: -680*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 3*c + 10. Let w(j) = -4*j**2 - 2*j + 9. Determine 2*w(p) - 3*x(p).\nAnswer: p**2 + 5*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2470031, -2470029, -2470027, -2470025, -2470023, -2470021?\n\"Answer: 2*c - 2470033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b - 33. Let c be o(4). Factor 0 - 2\/9*z**4 + 2\/9*z**c - 2\/9*z**5 + 0*z + 2\/9*z**2.\nAnswer: -2*z**2*(z - 1)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 13539624093?\nAnswer: 13539624088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 56*z - 2819. Let w be a(-32). Let o(q) = -7*q + 2. Let y(t) = 7*t - 2. Give w*y(l) - 2*o(l).\nAnswer: -7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:04 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5760701 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -136807*y + 136611. Determine c(1).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1574 (b) 0.3 (c) 316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1794*r**3 - 10159*r**2 - 62692*r - 1849 wrt r.\nAnswer: 10764*r - 20318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 5*y**2 - 9*y**2 + 7 + y**3)*(2 - 1 - 2)*(-1 - 1 + 4).\nAnswer: -2*y**3 + 2*y**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o - 335 = -199220*u + 199215*u, 5*o + 28 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -35, -82, -147, -230, -331?\n\"Answer: -9*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -20*p + 22*p. Solve 0 = 4*j + 4, -3*j = 3*c + j + p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27999 - -2?\nAnswer: -27997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.9 + 45. Let i = g - -3. Let j = 4 + -3.6. Put i, j, 2 in ascending order.\nAnswer: i, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {b: 1, w: 3, d: 7, i: 1, s: 3, p: 2}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 69 = 5*c + 19, 2*g - 58 = -3*c. Suppose 2*l = 1 + g. Calculate the common denominator of ((-139)\/l)\/(4\/(-6)) and -29\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.75 - 0.75. Put 4, p, -0.5 in ascending order.\nAnswer: -0.5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 149?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v - 8. Let f be h(4). Suppose 0 = 5*o - 3*m - 919, -f*o + 2*m = -321 - 413. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -80, -1 in ascending order.\nAnswer: -80, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156 less than -4263579349?\nAnswer: -4263579348.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -47*p + 50. Let x be q(6). Round x to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:33 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 2*f**2 - 37\/3*f**3 + 28 + 0*f + 11\/4*f**4. Differentiate h(p) with respect to p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*s + 574 - 574 to x + w*s and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-111)\/78 - (12\/(-8))\/3. Is -1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**5\/20 + o**4\/6 - 2*o**3\/3 - 3*o**2\/2 + 3*o - 18. Let v(k) be the first derivative of s(k). Calculate v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*o + 25 = -45, 2*o + 130 = 2*d. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {k: 5, a: 3, y: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 3 + (56 - -7) + -8.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3900.4 * 91.33.\nAnswer: 356223.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016 <= 4\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103316317.\nAnswer: 13, 7947409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/153 + 2)\/(26\/39)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1780241 and 1067.\nAnswer: 19582651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -244303 (base 10) in base 11?\nAnswer: -157604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2609 + 2608. Which is the second biggest value? (a) -1174.9 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28781 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + -122?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*q = 36, 5*z + 0*q = -3*q + 168. Let o = -20 - -27. Let i = o + z. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((47685\/(-66))\/85)\/(-3*1\/(-6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -616345512+-4\nAnswer: -616345516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6152, 6168, 6188, 6206, 6216, 6212, 6188?\nAnswer: 6138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -31. Let u = 41 - b. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89919 - -136734. What are the prime factors of f?\nAnswer: 3, 5, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 34 + 20 = -2*i, 41 = 3*w - 2*i. Is w > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5277, -3633, -1989, -345, 1299?\nAnswer: 2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -74600 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17816561?\nAnswer: 7, 17, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112924 divided by 4.\nAnswer: -28231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 422. Let m(z) = -21. Give a(r) + 6*m(r).\nAnswer: -r + 296","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + 3\/9. Let y = 4 + -2. Suppose 3*z - 2*g - 2*g - 329992 = j, -3*g - 219994 = -y*z. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 1 x when three letters picked without replacement from {x: 1, f: 2, l: 1, t: 1, i: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388455, -776718, -1164981, -1553244, -1941507?\nAnswer: -2329770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12344 is divided by 190.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/69377 and -85\/22.\nAnswer: 138754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1 + 2 - 7800\/(-780).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 30 = 3*a. Let l be ((-26)\/(-39))\/((-2)\/(-12)). Solve -a = l*z - 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qekegqy. Give prob of picking 1 e and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1536 + -4?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 111000011111010101000011 (base 2) to base 11\nAnswer: 83a4840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/38, 1\/31, -0.1, 4, -0.13 in ascending order.\nAnswer: -0.13, -0.1, -1\/38, 1\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssddsassp. Give prob of sequence spa.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409384.\nAnswer: 2, 73, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 25. Let w = r + -21. Calculate the remainder when (-1)\/6 - 755\/(-30) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2130398, -4260783, -6391168, -8521553?\nAnswer: -10651938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 8*f - 20. Let s be k(-10). Let l be 9 - s\/(-2)*7\/14. Suppose 1 = -2*c + l. Solve -5*b = -4*p + 15 - 2, -4*p - 4*b = -c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-3 + 3 + f**2) + (0*f + f - 2*f)*(-3*f + 77 - 41 - 33).\nAnswer: f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9040 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1723051um to centimeters.\nAnswer: 0.00001723051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5416 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let x be d(1). Let w = -55 + 61. Suppose w*u - 12 = -x. Solve 4*p = 4*m + 20, 3*m + 2 = m - u*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*h - 52390 + 52681 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l. Let b(c) = -174*c. Give b(q(k)).\nAnswer: 348*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnlntntntnnntt. What is prob of sequence tt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -7, 8, 19, 26, 29, 28?\n\"Answer: -2*d**2 + 25*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47970*d**4 + 78*d**3 - 4893470*d**2?\nAnswer: 1151280*d + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*p = 0. Suppose 4*b + 3 = 15. Suppose -3*l + p*i + i = -43, 0 = -2*l + b*i + 31. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822168 is divided by 225.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*u = 11, -16*k + 20*k - u + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -1 (c) 26 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 524 - 527 + 1055 + 14*w. Let n(b) = -1. What is 3*n(r) + o(r)?\nAnswer: 15*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 43 + (1 - -2) + -32.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - b + 5 + 1 = 0, 5*t - b = -14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7788 and 1521197?\nAnswer: 200798004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 1111*j**2\/2 - 1071*j - 1260. Differentiate v(q) with respect to q.\nAnswer: 1111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q - 50*q = 165. Suppose -c = -3*c + 8, c = 3*k - 158. Calculate the remainder when k is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3417 - 0.0417. Which is the nearest to -1? (a) -5 (b) u (c) 2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (46\/(-14) + 5)*-14. Which is the second biggest value? (a) j (b) -1 (c) -1\/2 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 701, 729, 775, 845, 945, 1081?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -3*s**2 + 5*s - 2 - 1\/4*s**4 + 5\/3*s**3. Let l be z(4). Which is smaller: -8\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12523 is divided by 6258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -277b7 - -1877?\nAnswer: -25b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062512519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/485 and -54\/416225?\nAnswer: 40373825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -994.00436 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450571 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*658111.\nAnswer: -157946.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -18. Let w = -0.1 + 0.15. Which is the smallest value? (a) r (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -871341, -1742679, -2614021, -3485367, -4356717?\n\"Answer: -2*k**2 - 871332*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 1\/(28\/12)*(-336)\/64*(-240)\/(-20)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17))**2 + 3 + sqrt(17) + (2*(sqrt(17)*-3 + sqrt(17) + sqrt(17)))**2.\nAnswer: -5*sqrt(17) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -3*l - 19*l. Solve 10*n - 7*n = -q - l, -4*n = q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*m - 49*m - 53*m - 57*m - 52*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 172\/16 + 1334\/(-232). Let b = 1 - -1. Sort c, b, 1, -1 in descending order.\nAnswer: c, b, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370775809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 - (73 + (-546)\/13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*b = -1, -4*b + 32 = 2*s + 42. Let d(m) = -m - 4. Suppose -2*v + 0 = 16. Let u be d(v). Solve -2*q = -u*h - s*q + 3, 5*q = -h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 13904*n = 0. Calculate n.\nAnswer: 0, 3476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11428478 to the nearest integer?\nAnswer: 3381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from bkovlbbolqollll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8772209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 2696.\nAnswer: 7\/2696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*i + 13*i - 10*i = -1753840000. Round i to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 + 1695764?\nAnswer: 1695797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 38000. Let x be j(0). Round x to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152249, 304729, 457209, 609689, 762169?\nAnswer: 914649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(25\/52473) + 2135\/125 + -17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/8, 0.3, -4\/7?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 111, 131, 151, 171, 191?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let g = -81513 - -81515. Which is the nearest to 2\/3? (a) n (b) g (c) 1\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3250163, -3250125, -3250061, -3249971, -3249855, -3249713, -3249545?\n\"Answer: 13*j**2 - j - 3250175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 453 = 2*p - 3*u, -4*u = -3*p - 458. Let t = -136 - p. What is the least common multiple of t and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -97?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1590.1886 + 1566.17. Let t = -24 - a. Round t to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*o + 0 + (2*o - 1 + 1)*(0 - 2 + 4) + 3 - o + 6*o - 6*o)*(16 + 4 + 2)*(-1 - 1 + 0) to the form p*o + k and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 689, 680, 667?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*k - 403139*t + 403141*t, 3*t - 11 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21010*k**3 + 21162*k**3 - 63353*k**3 + 21167*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j - 2. Let n(q) = 3*q**3 - 261*q**2 + 6*q + 12. Calculate -6*a(h) - n(h).\nAnswer: -3*h**3 + 267*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-27) - 12\/(-27). Let l(r) = r**2 + 4*r. Let n be l(-4). Sort n, 3, a in ascending order.\nAnswer: n, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1959990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1187?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbt when four letters picked without replacement from {w: 6, b: 2, t: 4}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((2 - 4) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*-3*12\/(-1080)*-4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*z = 8 + 23, 5*s + 52 = -3*z. Let j(v) = -6*v + 4. Let o(n) = -4*n + 7*n - 5*n + 1. Let q(r) = s*o(r) + 4*j(r). What is q(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.186? (a) 0.2 (b) -2 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391.965 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 665.638961 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-21))\/(236\/413). Determine u, given that -1\/2*u - 7\/4*u**2 + 0 - l*u**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*y - 2*b, 8*y - 150*b + 155*b = 12*y - 132 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-3)\/(6\/1)). Let f be (-6)\/s - ((-134544)\/(-4))\/4. Let m be -5 + 2 + f\/(-5 - -3). Round m to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7444, 14440, 21446, 28468, 35512, 42584?\nAnswer: 49690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -0.2 (b) 4 (c) -2\/179 (d) 0.06 (e) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2291 - 0.8666. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*g + 1230*g - 54837 = 7629 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:29 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37288.\nAnswer: 2, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 35*d + 10. What is the remainder when 131 is divided by i(36)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 135 - 738*q**2 - 9*q + 9*q.\nAnswer: -738*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340 (base 5) to base 15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(96))\/(-5*1*sqrt(3)).\nAnswer: 4 + 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*l + 38*l - 46*l to the form t*l + a and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 9 + 6)*(0*z**4 - 2*z**4 + 4*z**4) - z**4 - z**4 + 0*z**4.\nAnswer: 52*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.586016 times -0.5?\nAnswer: 28.793008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from jccccccccjcccjcjcccc.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8818 = -z, 5*d - 5*z = 5366 + 16679. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1617\/(-84) - -21)\/((-4)\/(-16))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -310 - -1041. Is m a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122210 (base 3) to base 12\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60948, -121895, -182842, -243789?\nAnswer: -304736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 191, 390, 587, 782, 975, 1166, 1355?\n\"Answer: -l**2 + 202*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1045, -3728, -16695, -41954, -83603?\nAnswer: -145740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u + 20 - 1 - 16 - 2*u - 2*u + 5*u - 3*u + u + 3*u + (-2 + 4 + 0)*(-7*u + 3*u + 2*u) - u - 4*u + 3*u to the form r + q*u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00248456 to five decimal places.\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.0202\nAnswer: -0.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 6*j - 13 - 7*j - 6*j**4. Let g(a) = 7*a**4 + 5*a + 12. Let l(h) = 6*g(h) + 5*r(h). Differentiate l(w) with respect to w.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225311831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o**3 - 8*o**2 + o + 17. Let a(z) = 9*z**3 + 3*z**2 - 6. Let g be (-28)\/(-5) + 10\/25. Let n(p) = g*h(p) + 17*a(p). Factor n(d).\nAnswer: -3*d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 330, -1, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 0\/(4 + -2). Let d be (1 + w)*(-3)\/(12\/(-50)). Solve -5*n = 5 - d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -13) + -41 + 49\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7693? (a) 1\/5 (b) -2\/9 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5626 (base 9) in base 13?\nAnswer: -1b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/169 and 25\/9.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 4796*x - 821376.\nAnswer: -4*(x + 207)*(x + 992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*c + 232 = -984*c + 160 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 8. Let i be r(-9). Let v(s) be the second derivative of 0 + 1\/2*s**2 - 7\/12*s**4 + s + 0*s**3. Give v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/2)*k)**(-8\/3)*k*k**(2\/3)*k*k*k*k*k\/k**(-3)*k*k)**20 assuming k is positive.\nAnswer: k**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 + 6815*k - 4611*k to u*k + i and give u.\nAnswer: 2204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2*2\/4. Let l = 86 + -88. Suppose -2*t + 32 = 2*t. What is the nearest to t in k, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.8. Let k = 0 + 4. Is y <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - (-9)\/20. Let w = -98.1 + 97. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) 0.32 (b) -0.2826 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtzqqzqttt. What is prob of sequence tttt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -24, -30, -30, -24, -12, 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -54*t**5 - 37*t**2. Let z(b) = 18*b**5 + 12*b**2. Let d(a) = -2*i(a) - 7*z(a). What is the third derivative of d(x) wrt x?\nAnswer: -1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.2 (c) -1141 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3078 and 2406616.\nAnswer: 194935896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-560)\/(-168))\/(2\/1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**24*w\/w**31*w*(((w**(-15)\/w)\/w)\/w)**6)**5 assuming w is positive.\nAnswer: w**(-565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135968 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 1.1. Let w = -0.4 + j. Let l = -11 - -18. What is the nearest to w in 0.5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isyy when four letters picked without replacement from yyyyisdsyz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15326227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 7*p**2 + 5*p + 9. Let k be q(6). Let s be (-3)\/(k*5\/(-15)). Suppose -2*z - s*z = -0*z. Solve 4*a + 18 = 2*j, -3*j + 2*j + 5 = z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 4, 19, 42, 73?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 - l - 2. Let x(z) = -1864*z**2 + 82*z - 5. Let s(r) = -5*t(r) + x(r). Find the second derivative of s(u) wrt u.\nAnswer: -3798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 3. Let x(s) = s + 2. Suppose -6 = -5*r - 3*b + 2, 0 = -3*r - 4*b - 4. Give r*j(f) - 6*x(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 968 and 880?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 71. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2090 - 10*j**2 + 6*j**2 - 12*j**2 - 2088.\nAnswer: -16*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7160*n - 50130. Determine s(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*u**3 + 52*u**5 - 114*u**3 + (-u**2 + u**2 - u**2)*(2*u**3 + u**3 - 4*u**3) + u**5 + u**5 + u**5.\nAnswer: 56*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29587727 divided by -3?\nAnswer: 29587727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10625758 and 5512?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7265468 and 12.27.\nAnswer: 7265480.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 f when four letters picked without replacement from {f: 3, m: 7, o: 6, l: 1}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 - 2) + (-5 - -26) and (3\/6)\/(-11 + 30120\/2736)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - i**4 + 3)*(1 - 39 + 2) as j*i**4 + k*i**2 + h + f*i + q*i**3 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1353*s*x**3 + s*x**2 + 764*s wrt x.\nAnswer: -8118*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11887 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 times -24?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 832*b*q**3 - 3*b*q*s + 5395*b*s + 2*q**3*s - 1010*q**2 - 4*q*s + 32*q - 6 wrt b.\nAnswer: 832*q**3 - 3*q*s + 5395*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 650920*a**3*y**2 - 2*a**2*y**2 + 2989*a + 19*y - 1 wrt a?\nAnswer: 3905520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h = -20*h + 3*m - 3, 0 = -4*h - m - 27 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43388.64 milligrams in micrograms?\nAnswer: 43388640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-2)*322\/8 - 2. Suppose -3*n - 12 + w = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 23*j + m - 730, 3*j - m - 565 = 0. Let f(h) = 45*h**2 + 3*h - 2. Let x be f(2). Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18808091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**4 + 0 + 7\/20*v**5 + v**2 + 2*v + 0*v**3. Let i(z) = 20*z**3 + 6. Calculate -5*i(k) + 14*m(k).\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 not equal to 2\/143135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1314123?\nAnswer: -1314131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 + 15807*i**2 + 9911736*i + 1661425776 = 0. Calculate i.\nAnswer: -4573, -348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/8)\/(w\/(w\/(w*w**(7\/2))))*(w**(-3)*w)\/(w*w**(-4)))**(-35))**(-4) assuming w is positive.\nAnswer: w**(-945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 15*i**3 + 20*i**2 + 25*i + 10. Let f(u) = -5*u**3 - 7*u**2 - 8*u - 3. Let o(d) = -10*f(d) - 3*y(d). Find l, given that o(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (561\/102)\/((-95)\/(-760))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4600 is divided by 754?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/3080 and 81\/10780.\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(18\/11)\/(h\/(h\/h**0*h)*h*h)**(-6) assuming h is positive.\nAnswer: h**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7404.7 - -7763. Round c to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -10102?\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26067328 by -128.\nAnswer: -203651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.148 and -13?\nAnswer: 1.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13132*s + 11 = g - 13128*s, 0 = 4*g + 5*s - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 69*q - 64*q + 1 = 0, 5*r = 5*q - 5. Which is the closest to r? (a) -3 (b) -0.12 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 1237706.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 18. Let w be j(-6). Suppose 0 = -4*b + 5*b + 1. Is b at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -17\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104*b*k**3 - 83*b*k**2 - 15585*b + 3 wrt k?\nAnswer: -312*b*k**2 - 166*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 2123030023331?\nAnswer: -2123030030010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(147) - (5*sqrt(147) + 4)) + 0 + 2*(-1 + sqrt(147)*-6))*-3)**2.\nAnswer: 12096*sqrt(3) + 339012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (7 - (1 - -6))) + 14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 3:09 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 - a**3 - a**3 + (-9 + 0 + 2)*(-2 - 4*a**3 + 2) in the form h*a + k*a**2 + u + j*a**3 and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13027, 52105, 117235, 208417, 325651?\n\"Answer: 13026*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -5. Suppose 3*d = -6*w + w + 1252, 2*d = r*w - 504. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 - 6*x**2 + 126*x - 104. Give m(5).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -53\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 3) + 0 + -1. Let y = 6 + p. Let x(l) = 3*l - 16. Let k be x(y). Let u(n) = 5*n**2 - n - 1. Determine u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 37*g + 120. Determine f(0).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1263\/2 - (-45)\/90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/540 - 17*u**4\/108 - 289*u**3\/54 - 710*u**2. Suppose p(w) = 0. What is w?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/720 + q**4\/12 - q**2. Let l(b) be the second derivative of n(b). Calculate l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16932 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((5 - 4)*-1*19).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/5 (b) -3 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q + 5187 + 5985. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-504)\/(-60) - 8 - (-6)\/10. Let c(p) = p**2 - p + 1. Let i be c(2). Suppose -b - 7 - g = -i*q, 8 = -2*b + 2*q. What is the smallest value in b, -1, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 1\/3*i**3 - 7\/12*i**4 + 0 - 1\/6*i**6 + 1\/42*i**7 + 9\/20*i**5 - 2*i + 0*i**2. Find k such that r(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utpuputuuuuu. Give prob of sequence tpup.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365938?\nAnswer: 2, 7, 43, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*b - 21 - 22, -3*k - 4*b = -41 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(12)\/sqrt(4)*-2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.94 + -18. What is the third smallest value in 4\/5, 3\/5, r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7657.521 months in years?\nAnswer: 638.12675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*x**2 - 4*x - 288*x**2 + 6*x - 4*x + x in the form t + b*x + j*x**2 and give j.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 9. Determine x(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 - 609*j**4 - 56*j**3 - 7323647*j**2.\nAnswer: 120*j**2 - 14616*j - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 4*c**2 - 42579*c + 9*c**4 + 42607*c - 8*c**4 + 1 in the form q*c + m*c**2 + o*c**4 + f*c**3 + k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60350 by 5.\nAnswer: 12070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1573) - (sqrt(1573)*-1 + -2))*-6*-1)**2 + -2.\nAnswer: -906626 - 12672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 1725?\nAnswer: 93150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-5) - -9) + 1. Solve 0 = -j*x + 2*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -96*u - 868. Let s be y(-9). Let i(k) = -5*k**2 - 20*k + 6. Determine i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 10 + 8)*(r - 2 + 2) in the form c*r + x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 38\/4)\/(2 + 1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/41280 and -93\/860.\nAnswer: 41280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22480607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/4))\/w**(8\/5))\/((w\/w**(2\/29))\/w**(-4\/9)) assuming w is positive.\nAnswer: w**(-9007\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 424784100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4600*y + 4600*y + 159*y**2)*(2 - 2 - y**2) to c*y + a*y**3 + b*y**4 + i*y**2 + o and give b.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 49 times 1\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -124 and 4?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/1501 + 728013\/10507. Let u = c - 70. Let q(h) = h**2 + 4*h + 1. Let w be q(-4). Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(1\/30). Let z be (24\/s + 1)*-45. Suppose -o - 5*p = -z, 6*o - 3*p = 4*o - 11. Solve -21 + 5 = 3*k - 5*r, -3*k = 2*r + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 7. Let i(a) = -a**2 - 6*a - 1. Let r be i(-5). Let h(k) = 3*k - r*k + 0*k + 6. Determine 7*h(s) - 6*t(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.92 + -6. Let q be (2 + 40\/(-25))*((-810)\/99)\/18. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8913 divided by 2760\nAnswer: 2971\/920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 1819852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111201210211200110 - -1?\nAnswer: 10111201210211200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 54 + 10 = -20 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + -134. Suppose 6*k - 3*k + 3558 = 0. Is k\/(-10) - 14\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103814 (base 9) to base 5.\nAnswer: 3440042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 25 = 4*j, 5*z = 3*j + 12 + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (7 + -2 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 2*i + 2 = 0, f + 3*i + 2 = 0. Suppose -224*s = -20*s + 42*s - 3198. Solve -b - 4*x = s, -5*b = x + 9 - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -668, -1634, -2986, -4724, -6848, -9358?\nAnswer: -12254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 79.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(2205) - 4*((4*sqrt(7))**2 + -3))*4 + 4.\nAnswer: -1740 + 4*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3535)\/(-404) + (22 + 2)\/(-3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 + 3*t**2 + 2*t + 3. Suppose -5*f - 6 = 3*l - 5*l, 3*f + 12 = -3*l. What is y(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 122233.\nAnswer: 7\/122233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/58*(12\/(-9))\/(-2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Suppose 4*u + 20 = k*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*y - 4*j + 35300007, 0 = 3*j - 12. Let p be (4 - (-39)\/(-9))*3 + y. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 101. Let c be -2 + v\/(1\/(-178)). Let t = c + -45. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 23*o - 7. Let v = 4452 - 4445. Let b(c) = -12*c + 3. Calculate v*b(h) + 3*x(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*b - 22 = -8*u, -b + 16 = 3*u. What is the units digit of (-85)\/(-6) + (-1)\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 12*l**2 - 98*l - 941. Give m(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 5*t**2 + 9*t**2 + 14.\nAnswer: 15*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g + 16. Let k(y) = 4*y**2 - 14*y + 5. Let m(l) = -11*l**2 + 41*l - 16. Let z(p) = 17*k(p) + 6*m(p). Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31935 divided by -70.\nAnswer: 6387\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hthhhthhhhh?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30201165 is divided by 3020116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16731065 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -o - 9, -2*o - 5*n - 9 = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 777 = 25*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*b = 380*b + 1792. Let y be 8\/(-14)*b\/32. Solve 0 = -y*c + 9*c + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 1)*3\/(3\/(-211)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000100100011 + 1011101000?\nAnswer: -100010111000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*f - 9 - 5, f - 7 = -y. Suppose -2*p - 3*x = -1, 7 = 2*p - x - f. Suppose -4*u + 30 = 6. Solve u*m - p = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - sqrt(425)*-1*-6 - (5 + sqrt(425) + (sqrt(425) - (0 + sqrt(425)) - sqrt(425)))) + 1 + (-3*sqrt(833)*6 - (4 + sqrt(833)*-3)))**2.\nAnswer: 2080*sqrt(17) + 287364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*135.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 8*o + 7. Let b be k(9). Let i be b*((-3)\/(-2) + -3). Let d = -13 - i. Solve d - 3 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 113.58um?\nAnswer: 0.00000011358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**6\/(b*b**(-1\/2))**(2\/17))**12 assuming b is positive.\nAnswer: b**(1212\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -21596 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1311113321?\nAnswer: -1311113320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25848 and 4044?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(250)\/sqrt(5))\/sqrt(5))\/(sqrt(20)\/(sqrt(10) + sqrt(120)\/(sqrt(12)*1) - sqrt(10))) + -5)*6)**2.\nAnswer: 1800*sqrt(5) + 5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t - 50*t + 72775 = 0. Calculate the highest common factor of t and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*p - 12*p - 95*p + 32*p - 10800 for p.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -15485.81?\nAnswer: 15486.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33093 or 44183?\nAnswer: 33093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose t = -6*c + c + 30. Suppose 0*h - c*h + 234 = 0. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*u**2 - 23*u**2 - u**3 + 16*u**2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 10*r + 13. Let s(b) = -4*b**2. Determine h(s(i)).\nAnswer: 48*i**4 + 40*i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/3, 0.4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*i - 574 = 0, 0 = 4*v - 2*i - 108 - 1088. What is the greatest common factor of v and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e5627d (base 16) in base 10?\nAnswer: -15032957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1274*c**3 + 254*c**4 + 1274*c**3 - 20*c - 319*c wrt c?\nAnswer: 3048*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -31, -50, -73?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*p - 111*p - 24. What is the greatest common divisor of 32 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -112. Calculate the least common multiple of c and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/7 and 27\/533?\nAnswer: 3731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647*c - 325*c = -23664 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 7) + -1 + 1. Solve -h + 5*f + 2 = 3*f, -f = y*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -140, 0, -5, -20 in descending order.\nAnswer: 0, -5, -20, -26, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1884, -4323, -6762, -9201?\nAnswer: -11640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478.7895 millilitres to litres.\nAnswer: 0.4787895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = x + 13, 122*t - x = 124*t + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120*y**3 + 3*y**2 - 326 wrt y.\nAnswer: -360*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**5\/50 + h**4\/10 - h**3\/5 + h**2\/5 + h + 1. Let i(u) be the first derivative of k(u). Factor i(w).\nAnswer: -2*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 6*q = -7*q + 12006. Calculate the greatest common divisor of q and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2))\/((-10)\/(-15)). Let y be (-1 + -1)\/((-62)\/186). Let 8\/3*i**j + 4\/3*i + y*i**2 + 0 = 0. Calculate i.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 20*v - 63. Suppose v*c - o = 7*c + 124, 0 = -3*c + 2*o + 73. Solve 2*w + 5*j = c + 6, -5*j + 37 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 27 + l + 135*l**2 - 64.\nAnswer: 135*l**2 + 3*l - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7872644 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 - 2317*m**2\/5 + 6944*m\/5 - 4628\/5.\nAnswer: (m - 2314)*(m - 2)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 65?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 10 = 0, 3*g + y + 28 = 0. Let m = g + 24. Let x = 13 - m. Solve x*v - 6 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from pgcoq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, f: 2, c: 2, p: 2, y: 2}. Give prob of sequence cp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 4*g**4 - 380 + 398 - g**4 to c*g**4 + n + l*g**3 + f*g + z*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-144)\/(-15))\/(-6))\/(-154*(-74)\/(-19425)).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 46. Suppose 0 = c*l - l - 7. Suppose 2*b - l*b + 375 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24151 + -2?\nAnswer: -24153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0526 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297148*z**2 + 148788*z**2 + 148880*z**2.\nAnswer: 520*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197278*c**2*v - 2*c*v + 53443*v wrt c.\nAnswer: -394556*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/20 + n**4\/12 - 2*n**3\/3 - 5*n**2\/2 - 4*n. Is x(4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 67*m**2 + 128*m - 135. Let s be y(-65). Which is the smallest value? (a) 2 (b) s (c) 4\/39 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + x**2 + 6*x**2 - 10*x**2 + 2*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g. Let c be o(1). Suppose 2*h + c = -3*h. Let j be h - 95\/(-35) - 2. Is -3 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -605, -583, -561, -539?\n\"Answer: 22*o - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 + 71 - ((21 - 0) + -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((-1 + sqrt(3))*-5 - sqrt(6)\/sqrt(8))**2 - ((sqrt(147) + (1 + sqrt(147) - sqrt(147)))**2 + 4)) + -1).\nAnswer: 745\/4 + 345*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*f - 116 = 4*f, -5*s = 4*f + 156. What is the tens digit of (-245)\/s - 9 - (-3274)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 22*p - 8. Let l be a(3). Solve -37 = l*i - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - s + 3*s + 46 = 0, -3*m - 2*s = 35. Let o = m + 13. What is the remainder when 7 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.06, 615, 2, 5\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u - 12 + 57*u - 17 + 33.\nAnswer: -3*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 9 - 2*n + n**3 + 7*n**2 + 7*n. Suppose 7*q = -9*q - 128. Does 7 divide z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by -2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4664 is divided by 4526?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 5154*y**2 - 15423*y + 20580.\nAnswer: -3*(y - 1)*(y + 4)*(y + 1715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/21 - -2\/3. Let j be 136\/(-36) - (-3 - 1). What is the third biggest value in j, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 3*y**3 - y**4 + 5 - 533177*y**2 + 533204*y**2 as x*y**4 + u*y + j*y**2 + b + l*y**3 and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 577 + 4?\nAnswer: 57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 3. Let m = -460 - -455. Let v(l) = -3*l**2 + 4. Let b(h) = m*t(h) - 4*v(h). Give b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 4\/13, 3\/4, 0.1, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 7*t = -800. Suppose -a + t = 3*a. Suppose 200 = 4*o - 0*o - v, 4*o - a = -3*v. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let c = 10 + -14. Let j(r) = -13*r - 1. Let l(a) = c*i(a) - j(a). Give l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (53 - (15 + (-31 - -20) + 0)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4494 - -8761. Suppose 18*u - 5759 = n. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6 - d**2 - 2 + 4*d**2 + 9*d**6 + 19*d**6 wrt d.\nAnswer: 3360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -21, 1\/128?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:30 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwoowywgkgwwgoo. Give prob of picking 2 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(45)*1*-1)\/(-3*1*sqrt(9)*2))**2*-3.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2682 > -2679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 4*w**2 - w - 7. Give x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*i + 19185, 0 = 5*i - 5*r - 8383 - 15642. What is i rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + d = 1, 0 = -n - 0*d - 2*d + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = 2*q, 2*q = -3*q + 5*j + 15. Find the second derivative of -10*l**3 - 12*l**3 + 2*l**3 + 32*l - q*l**3 wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeess. What is prob of picking 4 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-30) + (-22)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = 5*j + 19, 3 = 3*i - 3*j. Sort i, 0.16, 0 in ascending order.\nAnswer: i, 0, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19479915 a multiple of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w - 7. Let i be l(-7). Let t(a) = a - 3 + a**2 - 2*a - 4. Calculate t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 + -323.41. Round d to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 22*g = -2*m + 22, 4*m = 2*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-2))\/((-12)\/72). Is 0.1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286*(-193)\/(-6) - 32\/48 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-8)\/110)\/((-5990)\/(-14975))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.3 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -411945*t**2*z**2 + 44*t**2 + 5*t*z**2 + 6*z**2 + 13*z - 11387 wrt t.\nAnswer: -823890*t*z**2 + 88*t + 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18364.3 rounded to the nearest integer?\nAnswer: 18364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)*60\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400.69 centimeters in meters?\nAnswer: 64.0069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 7. What is the units digit of u(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 29*f + 1251. Let m be v(-43). Let d(p) = -p + 1. Let o(g) = -9*g + 8. Let c(j) = 6*d(j) - o(j). Calculate c(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(525) + -6*-1*sqrt(525) - sqrt(525)))\/(sqrt(324)\/sqrt(3) + (sqrt(36)\/sqrt(3) + sqrt(12))*-1)*3.\nAnswer: -225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.35 + -0.75. Put v, -1\/4, -2\/9 in descending order.\nAnswer: -2\/9, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from {a: 7, x: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*f + 42313 = -0*r, -2*r + f = -28212. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -212.1 and -116.\nAnswer: -328.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + 158\/18 + -2*1. Let o be -19*8\/48 + 4. Sort o, 0, z in decreasing order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f**2 + 33135*f + 33136. What is k(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + -14e?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 35 = 34. What is the smallest common multiple of b\/((-20)\/3264) - 28\/(-35) and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552607 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42776521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263348.\nAnswer: 2, 65837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4942413 and 19551.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 121?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/5 + 4026*s\/5 + 3103493\/5 = 0 for s.\nAnswer: -2987, -1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(6\/2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -273, -409?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29080507 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-140) - 42007716\/(-442120).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -849\/11 + -51\/22. Let f = -1117\/14 - i. Is f < -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - sqrt(504)*3)*-2)\/sqrt(8))\/(sqrt(63)\/(sqrt(28)*1)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 25, -c = -2*c + 2*d + 14. Let l(u) = 28*u**2 - 552 + 553 - c*u + 4*u. What are the prime factors of l(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-32)*-3)\/(54\/72).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Suppose 3*c = -2*n + 7, 1 + 2 = -l*c. Suppose -2*u + 50 = 2*u + 2*o, u + 3*o - n = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10*z = 9*z - 119, 0 = -5*z + 5. What is the smallest common multiple of n and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*j**2*o**2 + 194289*j**2 + 80*j*o**2 with respect to o.\nAnswer: -280*j**2*o + 160*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -5 - (-82 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.13561 years to decades.\nAnswer: 6.013561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2229 by -197.\nAnswer: 2229\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -36*m**3 + 6*m**2 + 9*m + 10. List the prime factors of a(-4).\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7)\/((w**(-3\/2)*w)\/w))\/w**(-4\/13))\/(w**5*w*w*w*w*w*(w**(-2)*w)\/w*w*w*w*w*((w\/w**2)\/w)\/w**(2\/9)) assuming w is positive.\nAnswer: w**(-13991\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 848 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46786992*p**5 + 31229*p - 216?\nAnswer: 935739840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3 - x**2 - 2*x - 18. Let v(s) = 7*s - 3. What is -3*c(q) + 2*v(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*v + 534 = 551, 5*v = 4*o - 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -2\/17, -58322?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 11. Let y be h(8). Let c(t) = 3*t**2 - t - 1 - 8*t**3 - 5*t**3 + y*t. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13999927 - -0.14. What is h rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 6*v**2 - v - 3. Let z be p(5). Let x(k) = 4*k**2 - z - 6*k + 33 - 22. Let h(q) = -5*q**2 + 6*q + 7. Let l(c) = -6*h(c) - 7*x(c). Factor l(n).\nAnswer: 2*n*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 17, f: 3}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 213819 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, -1436, -5445, -13254, -26129?\n\"Answer: -211*l**3 - l**2 + 5*l + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-60))\/((-2)\/(-6)). What is the nearest to 15 in l, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14))**(-3)\/((a\/(a*a**(-5\/3)))\/a**(-7\/4)) assuming a is positive.\nAnswer: a**(463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -21*o**2 - 96*o + 180 = 0.\nAnswer: -6, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o - 2. Let u = 0 + 0. Suppose u*r - 4*r = -8. Is 23 a factor of y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00317951224 rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose 0 = 3*c + j*f - 4*f - 65, 0 = -3*c + 3*f + 75. Suppose 23 = b + 1. Calculate the least common multiple of c and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 - 7*q - 1. Let f be x(-6). Suppose -5*k + 5*m + 40 = -f, 4*m - 19 = -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 w(o) = o**2 + 9*o + 19. Let k be w(-3). Which is the nearest to 0? (a) 0.1 (b) 1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 25*l = 23*l - 189 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1172 or 1379\/12?\nAnswer: 1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.28924 litres to millilitres.\nAnswer: 72289.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + (-1 - (5 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 + 7*k + 2. Let l be 9*(-2 - (-28)\/12). Suppose l*v - 6 = -3. Let p be v*(-1)\/1*5. Determine x(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 2\/9 (c) 0 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 18. Suppose -20 = 5*d - 5*v, -5*v = d - 32 + 6. Let z = d + f. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*u - 24 = 0, -2*u - 3 = 3. Let i = 2 - q. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*(sqrt(567) + 1) + 6*(sqrt(1008) + (sqrt(1008) + -1*sqrt(1008) - sqrt(1008))))*2)**2.\nAnswer: 36*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x - 139. Suppose u = 3*w - 9, 4*w + 46 = -4*u + 6*w. Let t be s(u). Sort t, 4, -3, 12 in decreasing order.\nAnswer: 12, t, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001222211021 (base 3) in base 8?\nAnswer: 32402203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6602 + 6633. Solve 13*k + 21 + l = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyjjdjdjnddndjynn. Give prob of sequence yn.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -37 (b) -2 (c) 1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2933 + 14*m**2 + 0*m**2 + 2933.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 4:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.64115 and -0.7.\nAnswer: -3.248805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-3)\/24*-4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6710, -12257, -17804, -23351?\nAnswer: -28898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (0 - 0))\/(2\/18). What is the first derivative of -v*l + 18*l - 60 - 27*l - 40*l wrt l?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1 - 533034?\nAnswer: -533005.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/95 + 27\/15. Which is the closest to q? (a) 0.3 (b) 0 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -558 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-28)*((-140)\/30 + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - 1.97. Let m = 0.1 + -0.9. Let j = -0.2 + m. What is the nearest to -1 in t, 5\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57486179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {j: 1, r: 2, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 34273530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, 1, -4, 89 in decreasing order.\nAnswer: 89, 25, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 6036*y - 6037.\nAnswer: (y - 1)*(y + 6037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, -4, -0.4, 19, 10, -0.367?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44478, 88900, 133322?\nAnswer: 177744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 63*g - 448 - 704 = 0 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 - (3 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)**12\/((((f**5*f)\/f)\/f)\/(f\/f**4)))\/((f*f**(1\/5)*f)\/f*(f\/(f**(-4)\/f*f*f))\/f*f*f*f*(f*f**(-4\/3))\/f**0) assuming f is positive.\nAnswer: f**(-388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 512\/39 - 314\/39. Let f = j + -4924\/975. Which is the second biggest value? (a) -5 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -423, -493, -565?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:10 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8671*s + 1627971. What is y(-192)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 2. Let u(r) be the third derivative of r**4\/12 - r**3\/2 + 8*r**2. Let t(p) = 3*g(p) + 2*u(p). Let d(z) = 18*z. What is d(t(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 + (-7 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16038239.\nAnswer: 7, 327311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 14.9. Let c = h + 9.90111. Round c to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 0.9 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-23)*(v*v**2*v)\/v)\/(v**0*v*v**11))**14 assuming v is positive.\nAnswer: v**(-448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**4 - 111*z + 89\/3*z**3 + 27\/14*z**7 + 0 + 0*z**5 + 0*z**6 + 1\/2*z**2. Find the second derivative of i(y) wrt y.\nAnswer: 1620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:02 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23441 (base 5) to base 6\nAnswer: -12030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*p + 20, 5 = -4*l - 2*p + 13. Let k be (l - 4) + 10 - 1. Solve -y + 20 = -k*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**2 + 3*a**2 - 3*a**2)*(-64 - 51 + 25).\nAnswer: -990*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/84 and (-78)\/64 - 0\/(-7).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500213*u - 700 = 500163*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4098.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 582807302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*s + 8*s. Let c be -1*(1 + s)*4. Solve -c*m - 3 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.1629643 to one dp.\nAnswer: 38.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 4*w)*(3297*w**2 - 8724*w**2 + 2642*w**2) + w**3 + 9*w**3 - 4*w**3.\nAnswer: 5576*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3329, -2419 in decreasing order.\nAnswer: -17, -2419, -3329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))\/((((f*f\/(f*(f\/(f*f\/(f**(3\/2)\/f)))\/f*f*f))\/f)\/f)\/f))**(-3\/5) assuming f is positive.\nAnswer: f**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/2, -7, 612.13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:12 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 263, 819, 1899, 3677?\nAnswer: 6327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**6\/15 + 19*p**4\/4 + p**3\/3 - 10*p**2 - 46*p. What is the second derivative of k(h) wrt h?\nAnswer: 24*h**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/39 and -62\/429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o - 2. Let k be h(-4). Is (k\/8)\/(1\/(-76)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25.1507 years?\nAnswer: 301.8084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 47 + 1. Suppose -94*l = -142*l + 144. Calculate the greatest common divisor of l and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 45*m - 5. Let v(k) = 9*k - 1. Let y(s) = 30*s - 11. Let t = 248 - 248. Let g be y(t). Calculate g*v(q) + 2*w(q).\nAnswer: -9*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -504429, -504426, -504423?\n\"Answer: 3*o - 504432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 3, y: 4}. What is prob of sequence zzyn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6150*o**2*x**3 + 2842*o**2*x**2 + 1325*o**2*x - 3*o**2 - 5871*x + 1 wrt x?\nAnswer: -36900*o**2*x + 5684*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 8*b + 4. Let y be n(2). Suppose 0 = 4*v - d - 420, v + y*v + 2*d = 512. Find x, given that x**3 - 4*x + v + 8*x**2 - 3*x**3 - 6*x - 100 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d**2 + 2*d - 2*d + d**2)*(-1183591 + 3*d + 1183591 - 22*d**3).\nAnswer: 418*d**5 - 57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37 (b) 18 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.05 + 0.95. What is the nearest to q in -1\/8, 1\/2, -6\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*f - 0. Let g = 704 - 704.209. Let j = g - 0.791. What is the nearest to -0.1 in 4, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 2*c - 4 - c. Suppose 9*f - 6*f = -18. Let t(q) be the first derivative of -11*q**2\/2 + 11*q - 1. Calculate f*t(v) - 17*p(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*m + 3 = 0, m + 4 + 1 = 3*f. Suppose 5 = -5*r + 2*q, -2 = r + r + q. Let d = f - r. Solve -4*c - d = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -73, -134, -219, -334?\n\"Answer: -p**3 - 3*p**2 - 27*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*(d\/(d*d**(-4\/3))*d*d*d)\/d*d*d*d**18*(d*d**(2\/61))\/(((d**(2\/19)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(101740\/3477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 4131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6281480069 to the nearest integer?\nAnswer: 79256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 12*b + 7*b - b as t + d*b and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 6 = 0. Find the second derivative of -4*i**4 + 5*i**k + 4*i - 5*i**3 wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892900078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88757467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*x + 2*x**2 + 0 + 384*x - 4*x**4 + 18 + 2*x**3 in the form r*x**2 + i*x + g + u*x**4 + f*x**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(-31 - (-86814)\/2800) + 9.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1 and -420.\nAnswer: -421.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/((-1)\/(-5)). Let n(v) = -v**3 - v**2 - 1. Let r be n(f). Solve -3*l = l + 3*d + 35, r*l - 2*d + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29647 + 29619. Let r = -75 + 45. Does x = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8307*x - 2*m = -8303*x, -4*x = -5*m - 56 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 13 - 33. Suppose -3*t + 6*x = o*x - 4047, 3*t - 2*x = 4047. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**4 - 79*c**3 - c**2 + 21. Let j(k) = -k**3 + k**2 - 1. Let i = -805 - -804. Let r(g) = i*n(g) - j(g). What is the first derivative of r(u) wrt u?\nAnswer: 4*u**3 + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 323, -1\/5, -3 in descending order.\nAnswer: 323, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*l**2*s**3*y - 6*l**2*y + 2*l*y + 135*s**3*y - 7*y wrt l.\nAnswer: -34*l*s**3*y - 12*l*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 29*k + 8. Let n(l) be the second derivative of l**2\/2 - 21*l. Let b(o) = j(o) - 5*n(o). Differentiate b(x) wrt x.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 35 = -5*i, 5*f + 5*i + 14 - 54 = 0. Let s(v) = v**2 - 5*v + 3. Let x be s(f). Let g(u) = -u**2 - 2. Give g(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -95, -92?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5111 = 2*q, -5*u - 1366 + 6473 = 4*q. Suppose -2*b + u - 347 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.64 + -11.64. Let y(j) = j**2 + 5*j - 6. Let v be y(-6). Which is the closest to v? (a) 0.2 (b) m (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -33 - (1 + -1) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7386692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w + 12. Let j be v(5). Is ((-64)\/(-12))\/((-4)\/j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 = 4*h - 49, 5*h = -171*c + 60 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 511 and 365.27.\nAnswer: 186652.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278315493 is divided by 1569.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o = 19*o - 405 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - p + 4 - 17, 6 = 3*p. Suppose 3 - 9 = -v. Let a = v + n. Solve 0 = h + 2*h - a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 2 + sqrt(245) + sqrt(245) + -4 + (sqrt(720) + 1 - sqrt(720))*-1 + 1 + -1 + sqrt(720))**2.\nAnswer: -208*sqrt(5) + 3394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*b**2 + 4*b**4 + 26*b**2 - 670*b**3 + 672*b**3 in the form u*b + h*b**2 + v + d*b**3 + y*b**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 2, 0, -485, 5 in ascending order.\nAnswer: -485, 0, 2, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 2. Let h(p) = p**2 + p - 4. Let f be h(-3). Let i(m) = 3 + f*m - 1 - 1. Suppose 57*z + 90 = 39*z. Determine z*i(b) + 3*n(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.245 (c) 12 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, -0.3, -5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426341 is divided by 3772.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295189.\nAnswer: 7, 185027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -889.9 + 881. Let y = 1.6 - 10.6. Let m = n - y. What is the second smallest value in -0.4, 3, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 175504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*o - 3. Let j be (-33)\/o + 8\/(-32). Suppose -q + 8 = -j. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + b)*(4*b**3 - 2*b**3 - 4*b**3) + (-14*b**3 + 43*b**3 + 75*b**3)*(3 - b - 3).\nAnswer: -102*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37812447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3529)\/(-7058))\/(((-4)\/6)\/((-8)\/(-12))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 6*t + 3. Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {z: 4, e: 4, n: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1889*c**3 - 19*c**2 - 17*c + 18. Calculate t(1).\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*(0 - 124\/93)*15\/(-50).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:20 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d + 1. Let o(x) = -19*x**2 + 44*x**2 - 24*x**2. What is o(j(y))?\nAnswer: 100*y**2 - 20*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 12*j**2 - 25*j + 66. Let n be v(-7). Let b = -0.1 - -0.6. What is the nearest to 0.1 in 0.3, 0.1, b, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293018?\nAnswer: 2, 11, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2 - 0) + 0 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4*(-9)\/(189\/(-56)). Let h = 23\/5 - 263\/55. Which is the third smallest value? (a) n (b) -0.04 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 45*u - 156. Calculate h(7).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18715383 by -4.\nAnswer: 18715383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1380871.\nAnswer: 2\/1380871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -95. Let v be (-4)\/8*1\/2. Which is the second biggest value? (a) r (b) v (c) 3\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*q - 10 + 2 = -689*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 + 2055*h**2 - 40680*h + 73100 = 0 for h.\nAnswer: -430, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 1, -5 in decreasing order.\nAnswer: 1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6*c + 18, -3*c + 0 - 14 = -a. Solve 4*g - g - a*w + 9 = 0, -4*g + 4*w - 8 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3 - 1. Let v be o*(2 + -6 + 220004). Suppose 0 = t - 6*t - v. What is t rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 0*k**3 + 2*k**4 + (0*k - 6*k - k)*(3*k**3 + k**3 - 2*k**3) + (-1 + 1 + 1)*(-3*k**4 + 0*k**4 + 5*k**4).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1209)\/(-1365) + 6\/(-21)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 78\/195*(-1315)\/2. Let l = 253 + i. Which is the second smallest value? (a) 6\/11 (b) 0.5 (c) l (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 15 - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 77*f**2 - 13*f + 3386. Determine s(-37).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 1:11 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 955416 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320 (base 5) in base 13?\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2189, -8793, -19807, -35237, -55089, -79369, -108083?\nAnswer: -141237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + k**2 + 3*k + (-9*k + 2*k + 0*k)*(-2 + 2 + k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 2*f**4\/3 + 3*f**3\/2 + 45*f**2. Calculate the remainder when t(2) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 18*p**2. Let j(k) = -k - 9. What is x(j(g))?\nAnswer: 18*g**2 + 324*g + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 + 7*j**2 + 98830*j + 4746041 with respect to j.\nAnswer: -8*j**3 + 14*j + 98830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5897511?\nAnswer: 3, 241, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + -64. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-8)\/(-10)*(-255)\/918).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71968 and 1248.\nAnswer: 215904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9477\/10 or 949?\nAnswer: 9477\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyv when four letters picked without replacement from vvayyvyy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*t - 0*t - 15, -5*b - 1 = -3*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**6\/60 + x**5\/3 + 10*x**3\/3 - 10*x**2. Differentiate t(f) with respect to f.\nAnswer: -6*f**2 + 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4040*o**4 + 2*o**2 + 2*o + 22138?\nAnswer: -16160*o**3 + 4*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51022529 to the nearest integer?\nAnswer: 7143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 + (23 + -50 - -12 - -17) + -91?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -49, -139, -303, -565?\n\"Answer: -4*w**3 - w**2 - 9*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 60 = -0*w. Let m = -1 - w. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6))**(-42\/5)\/(p**2\/((p\/(p\/p**(-2\/15)))\/p)) assuming p is positive.\nAnswer: p**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2309 and -0.0181.\nAnswer: 2308.9819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 37499*f**4 - 20 - 12*f + 29 - 37500*f**4 - 2*f**3 as t*f**2 + b*f + r + v*f**4 + y*f**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-78))\/((-10)\/(-65)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2*(-1)\/(-2). Suppose -i - i = b. Solve 2*m + 8 - 4 = -2*k, i = -5*k + 2*m + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Solve -5*j + 3*k + m = 2, 5*j - 5*k = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*k - 120. Let p be (k\/(-30))\/(2\/39). Is p < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 3214*j - 3168*j + 6252*j.\nAnswer: 3*j**2 - 130*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 37.0081095.\nAnswer: -73.0081095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 28. Is y > 13\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 19159?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.787018km to centimeters.\nAnswer: 78701.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 5*m**8\/336 + m**5\/30 - 3*m**2. Find the third derivative of v(o) wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*g + 4, y + 6 = -y - 3*g. Suppose 0 = -0*b - b + 2. Solve y = 2*d + b - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 7)*(63 - 63 + 12*s).\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1465 (b) 1\/9 (c) -0.1 (d) 131 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 12)\/(1\/7). Let c = t - 40. Let o = c + -5. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475*a + 68042 = 11992 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-14))\/(360\/35 + -10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. Let y be 2\/z - 77737\/(-4). Let c = y + -19446. Calculate the common denominator of c and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -0.4 (c) 0.16 (d) 2\/6611 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/6 + -48 + 39 + 38\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151167217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 466, 1604, 3862, 7624, 13274, 21196?\nAnswer: 31774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7))**(1\/6)*t**(-6)\/(t\/((t\/(t**(-34)*t*t)*t)\/t)) assuming t is positive.\nAnswer: t**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + r**2 - 2*r + 1. Let f be u(1). Let b(p) be the second derivative of 0 + 3\/14*p**f + 1\/12*p**4 + 1\/7*p**2 + 2*p. Factor b(d).\nAnswer: (d + 1)*(7*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -127. Suppose k - 32 = 5*o, f*o - 12 = -2*k - o. Is 7 a factor of (-2)\/k*-581 - 6\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 126720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*w + 3 = 0, -9*w = -5*d - 4*w + 25. Suppose 0 = -d*i + q + 3 + 2, 3 = 4*i + 5*q. Factor 0*a - 4\/9*a**i + 0 + 14\/9*a**4 - 10\/9*a**3.\nAnswer: 2*a**2*(a - 1)*(7*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 513*c**4 + 34.\nAnswer: 2052*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**3\/2 - 21*g**2\/2 - 36*g + 525. What is m in y(m) = 0?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 722*c. Let b(t) = 2*t**2 - 7377*t. Calculate b(d(j)).\nAnswer: 1042568*j**2 - 5326194*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 275 and 16975?\nAnswer: 186725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2041*v**4 + 414 wrt v?\nAnswer: 8164*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 + 2244*h**2 - 839256*h + 104627248 = 0 for h.\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 113749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 - 3\/4. Let v(f) = 0*f + 0*f + f**2 + f. Let p be v(s). Are p and 0 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r**2 - 8*r - 3. Let d be i(9). Let h be 36\/8*8\/d. Suppose 7*n - 19 = h*n. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*h**3*i + 657*b*h*i + b + 178*h**5 + 101*h**3*i - 47*i wrt h.\nAnswer: 6*b*h*i + 3560*h**3 + 606*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-14) + (-102)\/357)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:09 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, 4, 43, 96, 163, 244?\n\"Answer: 7*y**2 + 4*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6875*f. Let k(u) = -1521*u**2. Give c(k(z)).\nAnswer: -10456875*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 1 + 2*y + 0)*(-6*y + 8*y + 5*y)*(-162*y + 162*y - 98*y**2).\nAnswer: -686*y**4 - 686*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -4) + 128 + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from ncnll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 126 = -23*t. Suppose -u + 2*a - 4 = -2*u, -5*a + 10 = -3*u. Suppose 7*n - 2*n - 20 = u. Solve 8 = -t*o + n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*u**2 - 16*d**3*u + 7*d**2*u**2 + 2*d**2 + 106*d*u**2 - 2*d*u + 7*d + 10*u**2 - 26 wrt u?\nAnswer: -2*d**3 + 14*d**2 + 212*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.86*0.315\nAnswer: 0.2709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22916 - (-6 + 4)\/((-20)\/(-50)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c + 2. Let p be x(3). Let y = p - 8. Find u, given that u**2 + y*u + 2*u - 1 - 2*u**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 - -557. Calculate the highest common divisor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + q. Let k(l) = -2*l + 1. Let f be k(2). Let y(w) = -w + 3. Let t be y(f). Let o(m) = -m**3 + 7*m**2 - 7*m + 8. Let z be o(t). What is a(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3920 = 12*b - 10*b, -2*b = -g - 3920. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/60, 3, 6\/31?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 438792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.29217684338 - -0.1\nAnswer: -0.19217684338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130\/38241 or -1?\nAnswer: 130\/38241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9574854*p**4 - 157429*p**2 - 5*p wrt p?\nAnswer: -229796496*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 43*j + 9. What is m(-44)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/14)\/(2\/148). Suppose 4*s - z = 19. Let o = 61 - s. What is the remainder when o is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 37 + 28. Suppose -111*w + 119*w = -96. Sort g, w, 2, -4.\nAnswer: w, -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1944)*1)\/(sqrt(8) + -1*sqrt(288) + sqrt(288)).\nAnswer: 4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161585 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 32*d + 224. Let v be a(8). Solve 12 = v*g - 35*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*a + 6*r, -16 = -0*r - 2*r. Solve -5*o - 5 = -a*q - 19, -4*o = -q - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*a = -71, 4*a + 226 = 4*k - k. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 9*f + 3*o, 2393*f + 9*o = 2392*f + 5 + 3 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.96812km to millimeters.\nAnswer: 64968120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 - 337 - (-10 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1167\/14 + 101013\/1106. Let d = -36358\/711 - u. Let t = -59 - d. Which is the nearest to 3\/2? (a) 2\/7 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 17*p. Suppose -2*v - 2*q + 620 = p, -6*v + 1544 = -v + 3*q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(108).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k + 4. Suppose -4*t = t - 30. Let v(u) = -u**3 + 5*u**2 + 5*u. Let h be v(t). Let i be (-2)\/h*(6 - -3). What is w(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/((-2)\/3). Sort -3, u, -21.\nAnswer: -21, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 29*u = 12*z + 54*u + 116 + 60, u = -z - 23 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*w**6 + 32*w**3 - 1417*w**2 wrt w.\nAnswer: -13320*w**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 1. Let b be j(10). Let o = 31 + b. List the prime factors of 177 - (3 + o + -4 + 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g + 2\/3*g**2 - 2\/9*g**3 + 21. Factor k(i).\nAnswer: -2*i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22176725.\nAnswer: 5, 887069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-346)\/8)\/(16\/64). Let i = m + 245. Let y = i - 65. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 72.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -5*n - 3*v, 4*n + 3*v = 7*v - 160. Which is the smallest value? (a) -3\/4 (b) 3 (c) -7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-18836)\/510 - -37). Let d be (-6)\/(-9)*(6 - 0). Sort d, 0.05, -4, n.\nAnswer: -4, 0.05, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 107*q**2 - 53*q - 16150. Calculate m(105).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38\/35 + 9\/7. Which is the third biggest value? (a) -1\/2 (b) -3\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 - 586 = -4*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((207\/483)\/(3\/1))\/(5\/(-7)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-6)*((-165)\/616)\/(-5)*16\/(-24)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-98)*(-1)\/54. Let i = -52\/189 + x. Let m(q) = -q**3 + 4*q**2 - 4. Let p be m(4). Which is the nearest to 0.1? (a) -3 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21010 + 44?\nAnswer: -20522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let p(f) = 287069520*f**2. What is p(a(r))?\nAnswer: 1148278080*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-1) - -1) + 5. Solve i - 6 = 2*c, -25*i + 10 = -22*i - m*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 306 (b) 40 (c) 0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 103 + 23545868\nAnswer: 23545971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and -7\/255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32.6? (a) -0.2 (b) 104 (c) 3 (d) 1 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sum 999 and 269615.12245.\nAnswer: 270614.12245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4354834533 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 257ae7f7 + 3?\nAnswer: 257ae7fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 + ((-2)\/(-3))\/(12\/(-18)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 3. Let p be k(-3). Let y = -7 + p. Calculate the remainder when 39 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 17) + (55 - (33 + -39))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 356107, 356281, 356455, 356629, 356803?\n\"Answer: 174*z + 355933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*n - 8*m, -11*m - 23 = n - 16*m. Calculate the highest common divisor of n and 2527.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**3 + 3*s**2 - 45*s - 565. Factor w(z).\nAnswer: 3*(z - 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 175. Calculate r(-32).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 9*o**5\/5 - 12*o**2 + 10. What is the second derivative of b(m) wrt m?\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**2 + 404*i + 411*i - 810*i - 4*i**2 - 1. What are the prime factors of s(2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 1128.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 195*l + 57*l**3 + 6 - 233*l**2 + 44*l**2 - 31 - 41 + 3*l**4.\nAnswer: 3*(l - 1)**3*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let g(p) = 27*p - 2. Let d(n) = 14*n - 1. Let o(z) = 11*d(z) - 6*g(z). Determine -5*i(t) - o(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:32 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 2. Let i be z(8). Factor -4*u - 4*u**4 + i*u**4 - 24*u**3 + 18*u**2 + 8*u**4.\nAnswer: 2*u*(u - 1)**2*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270988 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -187. Suppose 4*g - l = -2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 184*z**2 - 3*z - 11*z**2 - 48*z**2 - 31*z**2 in the form k*z + n + t*z**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (19 + -2)) + (7 - 0) + -2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/3 + 826*m**3\/3 + 18832*m**2\/3 + 62240*m\/3 = 0.\nAnswer: -389, -20, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, j: 1}. Give prob of picking 3 n.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1915 + 1349 = 126*u - 6060 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j\/(j\/(j**13*j*j)))\/j)\/j*j**0\/j)\/((j\/j**(1\/8))\/((j*j*j**(-12)*j)\/j)))**(-2\/37))**29 assuming j is positive.\nAnswer: j**(-493\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.803 + 0.197. Let i = p - 44.5. What is the fourth smallest value in 3, -7, -1, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*b + 276, z + 3*b - 77 = 23. What is the least common multiple of 10*13\/(-65) + 10 and z?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52685912 or 52685914?\nAnswer: 52685914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w + 121. Give t(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 4*j, 0 = -w + 2*j + 357. Suppose 4*v + a = w, -3*v + a + 45 + 219 = 0. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**3 + 41*r**3 - 7*r**3 - 5*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 53*b**2 + 2034*b - 191. What is w(-38)?\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156133 minus -96397?\nAnswer: -1059736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -41. Suppose -846 = -a*u - 36. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 15. Let f(t) = 7*t. Let d(u) = 16*u + 1. Let b(z) = 6*d(z) - 13*f(z). Let i(l) = 12*l + 11. Let n(w) = 7*b(w) - 3*i(w). Give n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743263027?\nAnswer: 11, 83, 349, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 4. Let c(n) = 2 + 9*n + 7 - 5*n**2 + 3*n**2. Give 4*c(b) - 9*d(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1504079*y**4 + 452215*y.\nAnswer: -18048948*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-6 + 371\/(-35))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*q + 8 = 0, -d + 11 = q + 2*q. Suppose w - 9 = -n - 2*n, 0 = d*w + 3*n - 15. Let s = 28 + -18. Calculate the remainder when s is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15950868 divided by -4\nAnswer: -3987717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*h - 7*h - 19*h = 1027 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*c + 259 - 94, -3*i + 3*c = 141. Let x be (i + -3)*4\/564. Let u = 2\/47 + x. Sort u, -5, -0.5 in increasing order.\nAnswer: -5, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.182961513 to 2 decimal places.\nAnswer: 7.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24539 (base 12) to base 3\nAnswer: -2111102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-307)\/5526)\/(12\/(-81))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 647.10278 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 27608*p - 95275208.\nAnswer: -2*(p - 6902)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 + 3*g**4 - 4*g**4)*(42*g + 26 - 26)*(2 - 1 + 9).\nAnswer: 840*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 4*j = -45, 3*d - j - 27 = 0. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191503*i = 43*m + 191506*i - 175, -5*i + 10 = 4*m - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 11*q**2 - 2*q - 363. Let h be m(-13). Sort -4, -1, h, 24 in increasing order.\nAnswer: -4, -1, h, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 36. Let k(r) = -r**3 + 2*r**2 + 5*r**2 + 1 + r + z. What is the remainder when 33 is divided by k(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*u - 2, -286*v + 291*v - 45 = -5*u. Solve 4*r + 29 = -v*c + 6, 3*r = -2*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49070.\nAnswer: 2, 5, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15 - 1183\/(-78) - 359\/3666. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:45 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17)*-3)**2 + 1.\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) -7.43 (d) -4\/3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(7\/2)\/p*p))\/p**(3\/4)*p**(2\/17)*p*(p\/(p**(-5)\/p))\/p)**(30\/7) assuming p is positive.\nAnswer: p**(3945\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 2*a + 12. Calculate c(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -16, -57, -112, -175, -240, -301?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 - -27. Let t = 397 - k. What is the third smallest value in -0.3, -51, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 4*w**2 + 938 + 1057 - 1995.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*t + 65 = 789*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 229. What is d(-8)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1179*h + 1253*h = 1184. Calculate the remainder when 3224 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 583452023906 and 9?\nAnswer: 583452023897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*0\/(-3 - -1). Let o be (h - 0)*2\/4. Let j(a) = o - 2 - 2*a - 2. What is j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -717. Let n = -580.3 - g. Let x = n + -28. 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 0.0039932 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/20 + l**4\/12 - 5*l**3\/6 - l**2\/2 + l. Let x be m(-4). Suppose 4*o - 109 = x. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 6*d + 1. Let m(j) = -2*j**3 + 19*j**2 - 7*j - 14. Let u be m(9). Let q(c) = c. Determine u*q(l) - g(l).\nAnswer: l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -13.179.\nAnswer: -3.9537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -53*r - 2. Let f be v(-3). Let w = f - 631\/4. Which is the third smallest value? (a) w (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k**2 + 149*k + 1577. Give w(-14).\nAnswer: 1255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 109 - 19 = 0. Let v(u) = -u + 5. Let r(y) = -6. Let x(a) = -4*r(a) - 5*v(a). Let k be x(2). Calculate the highest common divisor of m and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1130 and (4\/(-3))\/((-24)\/4860*9)?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -23. Sort -0.6, w, -0.3 in descending order.\nAnswer: w, -0.3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10583*g + 867*g + 3506*g.\nAnswer: 14956*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + k = -h + 178, 2*h + 3*k = 107. Let o(i) = i**3 - i**2 + 16. What is the remainder when h is divided by o(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 6*w + 5*w + 1)*(-1 + 3 + 3 - w) as o*w**2 + u*w + d and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**3 - 27*b**2 + 5*b + 5. Let r = 33215 - 33210. Let l(j) = -j**3 + j + 1. Give r*l(g) - c(g).\nAnswer: 2*g**3 + 27*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.4252 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3 + (-15)\/(4 + 1 + -6)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 2, k: 8, u: 3, l: 2, q: 4}. What is prob of sequence lkq?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 6. What is the least common multiple of p and ((-12)\/(-4))\/((-9)\/(-48)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {l: 8, c: 2, w: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, 3 in decreasing order.\nAnswer: 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15174 + -14422. Calculate the remainder when x is divided by 271.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*v - 12335 = -852 - 3528 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.6, -2, 25, 0, 5, -3536?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -0.5 (c) -2370\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let m(s) = -14*s + 4*s + s + 64*s. Determine f(m(w)).\nAnswer: -55*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458)*-2*-1)\/((sqrt(432)*2)\/sqrt(8)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d - 261. Is 3 a factor of x(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 + 2*j**2 - 2*j - 10. Let u be ((-1)\/(5\/10))\/((-2)\/73). Let k = u - 79. What is g(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/4 - 0) + (1830600\/108)\/(-150)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29296, -58593, -87890, -117187, -146484?\n\"Answer: -29297*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101001011010011011 (base 2) in base 4?\nAnswer: -2221122123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 19177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31032.1 - 0.05?\nAnswer: -31032.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*o + 28. What is the third derivative of 2*g - 2*g - 12*g**o - 2*g**2 + 14*g**2 wrt g?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 245 + 16. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 165*s + 5 - 164*s + 7. Let f be a(-11). Let w(r) be the second derivative of 3*r**4\/4 - r**2\/2 + 2*r. Determine w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14459*p - 965 + 4*p**2 - 1270 - 14611*p + 715 with respect to p.\nAnswer: 8*p - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -8 + 10. Sort 2, 144, k.\nAnswer: k, 2, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/2 + 2583*f + 2223963\/2 = 0. Calculate f.\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/20209 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012305783 to the power of 1\/3, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2368, -4744, -7122, -9502, -11884, -14268, -16654?\nAnswer: -19042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -1.9. Let h = 0.3 + t. Let f = h - 1.0000032. What is f rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 3*g**2 - 2*g - 3. Let v be n(-2). Solve -4*b + 3 - 23 = v*m, 2*m + 10 = -2*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.74481m to centimeters.\nAnswer: 3474.481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 2*f + 195. Let x be k(0). Suppose -1191 = -18*y + x. What is the lowest common multiple of y and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -3*x**8\/112 - x**5\/60 - 8*x**2. What is the third derivative of p(t) wrt t?\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1966200 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1508.562 - 1505. Let q = 168.262 - k. What is q rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1900 - -15203\/8. Factor t*q**2 + 1\/8*q + 1\/8*q**4 + 0 + 3\/8*q**3.\nAnswer: q*(q + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 631, -2\/13, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 7*k**2 - 6*k + 5. Let q(m) = m**3 + m**2 + m - 1. Let z = -10 - -5. Let c(t) = z*q(t) - d(t). Factor c(y).\nAnswer: -y*(y - 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 + 17*a**3\/6 + a**2 + 6*a. Let k be 17 + 3 + 0 + -3. Let p be m(k). Solve -2*w - w = -p*j, 4*w + 20 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**2 + 969*t + t**4 - 6 + 973*t + 971*t - 2913*t - t**3 in the form x*t**3 + m + i*t + h*t**2 + v*t**4 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + -3b28?\nAnswer: -3b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -383, -767, -1151, -1535?\n\"Answer: -384*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12859a0 + 70?\nAnswer: 1285a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20 - (-1)\/(-5)*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 11 = 3*v - 52, v + d - 21 = 0. What is the remainder when 251 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3546.553 meters?\nAnswer: 3546553000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**2 + 192*h + 10. Calculate the least common multiple of 23 and x(-42).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 75. Let r be h(0). Does 19 divide (-4)\/(-16) - r\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31054839 is divided by 13926?\nAnswer: 13785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040992776?\nAnswer: 2, 3, 4819411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + -0.12. Let k = -2\/183 - 899\/1464. What is the nearest to 0 in -1\/5, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 times -5.2645\nAnswer: -1.526705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2685888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64454 + -138754. Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:06 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -2*u - 0*m, 3 = 3*m. Suppose 0*h + 2*h - u = 0. Let p be 4\/(4*h\/36). Solve 2*y + 2 = -5*r, 2*r + 4*y = 3*r + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*f**3 + 2*f**2 - 2*f**2 - 568*f**3.\nAnswer: -849*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z + 20. What is f(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262910*k**3 + 30*k**2 - 2098*k + 1.\nAnswer: -1577460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, 8, 1, -43 in descending order.\nAnswer: 8, 1, -43, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*h - 86, -16*w - 170 = -h + 50 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3)\/1 + 109. Suppose -n = 2*n - k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013395841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.65 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.480105 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*d**2 - 1 - 80*d**3 + 77*d**3 + 51*d**2 - 8*d in the form s*d + u*d**3 + p + i*d**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15687000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 2*r + 0*r - r + 2*r + 0*r + (5 + 0 - 4)*(3 + r - 3) + 0 + 0 + r - r + 7*r - 3*r + 24*r - 11*r - 14*r to d*r + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/8 <= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -0.2, 2, 2115 in descending order.\nAnswer: 2115, 2, -0.2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 57*i - 66*i + 12, 2*i = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(w**4 + 0*w**4 - 2*w**4) + (w**2 - w**2 + 2*w**3)*(-4 - w + 4) + 4*w**3 - 4*w**3 - 3*w**4 + 2*w**4 + 0*w**4 - 4*w**4.\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b + 1. Let g be k(-2). Let q = 56\/5 + g. Let z = 5 + -5.3. Sort -2, z, q in decreasing order.\nAnswer: q, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 15*p + 35. Let i be z(13). Suppose 64 = -x + i*x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 p when three letters picked without replacement from {k: 1, a: 1, b: 1, j: 1, p: 2, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-2) - -2) + -28 + 32. Let l(s) = -s**2 - 3 - 13*s - 5 + 2 + 3 + n. Give l(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -74. Let l = v + 62. Suppose 5*b + 550 = l*k, -3*k - 2*b = 2*k - 564. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5*h + 4*h**2 + 5*h)*(-387*h + 780*h - 394*h - 1) to w*h + g + z*h**2 + r*h**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.71 - -12.711346. What is r rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - 557. Let i = -639 - x. Which is the closest to i? (a) -1 (b) 5 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 97a966?\nAnswer: -97a973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -16.2. Let h = l + -1. Let g = 146017 + -146021. What is the nearest to 1 in g, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - (-3 - (-4 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 81*b**3 - 42*b**2 - 1575*b + 996. Let s(j) = -23*j**3 + 12*j**2 + 450*j - 285. Let l(h) = -18*s(h) - 5*u(h). Factor l(g).\nAnswer: 3*(g - 5)*(g + 5)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let f be n(-4). Differentiate -2*u**3 + 1 + 11 - 4*u**3 - 8*u**f with respect to u.\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -113. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 12*j - 15. Let d be r(10). Let f(n) = -n**2 - 12*n + 1. Let w be f(-12). Let x = w + -1. Solve -2*s + d*s + 15 = x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6.06. Let q = j + 0.54. Let s = 0.2 - q. Which is the biggest value? (a) -2\/11 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, x: 5, w: 2}. What is prob of picking 1 a and 3 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 25*p**2 - 23*p + 1297. Calculate x(21).\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1266 - 589. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4451803414?\nAnswer: 2, 2225901707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 3. Suppose -h*z - 5*p + 24 = 0, -4*z + 4*p + p - 3 = 0. Calculate the remainder when 5 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 80*j + 224. Let h(o) = 4*o**2 - 53*o + 149. Let y(f) = 8*h(f) - 5*i(f). Solve y(g) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55311*d + 1453 - 1453.\nAnswer: -55311*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 - 366*p**4 + 11844*p**3 - 40002*p**2 - 52215*p = 0.\nAnswer: -1, 0, 5, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**7\/70 - 3*b**6\/40 + b**5\/10 - 156*b**2. Factor u(p).\nAnswer: 3*p**2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 8\/215 (b) -3 (c) 0.2 (d) 0.7 (e) 2 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 6*u - 4. Let l(k) = k**2 - k - 6. Let t be l(-3). What is d(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122855 is divided by 5101.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1\/((-1)\/(-3)). Let k be (-4 + 19\/4)*8. Let j(o) = -7*o + 42. Let a be j(k). Solve 0 = w - 2, -m*q + 2*w - 12 = a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 3*t + 2*t. Let o(v) = 2*v. Let h(z) = 5*o(z) - 3*r(z). Let i(m) = m. Determine h(i(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 125357270?\nAnswer: 125357275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0143375583 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {q: 5, x: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let s(t) = t**2 - 9*t + 14. Let h be s(7). What is the first derivative of -x*d**3 + d**3 + h*d**3 - 3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 73.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 7, q: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3284 + -3264. Solve p = -f - 5*m, -m = f - 0*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -885 = -5*j - 6*l + l, 0 = 5*j - 5*l - 935. Find the second derivative of -585 + 4*r**5 + 294 + 291 + 224*r**4 - 6*r**5 + j*r wrt r.\nAnswer: -40*r**3 + 2688*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 103, 183, 289, 427, 603?\n\"Answer: a**3 + 4*a**2 + 41*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1066)\/(-91) + -12 - (-3)\/((-504)\/(-62))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*(q*q**(-23)*q*q)\/q)\/q))**35)**(1\/26) assuming q is positive.\nAnswer: q**(385\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c + 2. Let r be n(1). Let o(m) = -m**2 + 19*m - 12. Let z be o(r). Solve 2*v + 0 = z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23939 and -1616041.6.\nAnswer: -1639980.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(1881\/95))\/(3\/(-27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 2*b**3 + 5*b - 1\/2*b**2 + 0. Let t be u(1). Solve 9 = 5*w - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66589437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -0.3, -2\/3, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - -83.15. Let t = n + -46. Let s = t + -32. Sort s, 1\/2, -6 in decreasing order.\nAnswer: s, 1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(-87 + 4*p + 87 + (3 - 3 + 2*p)*(1 - 5 + 0) - p + 3*p - 3*p) - p**2 + 2*p**2 - 4*p**2 + (3*p + 0 + 0)*(7*p - p - 4*p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.03. Let g = w + -0.0300044. Round g to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/72 and -15\/25432?\nAnswer: 228888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*l = -6, b + 2*l + 3*l = 3. Let c = -221 - -169. Let a be 0 - 4\/3 - c\/30. What is the third biggest value in -2\/19, b, a?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/481 + -1312*(-16)\/11840.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4705631?\nAnswer: 7, 647, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 132*n**2 + 1120*n - 33. What is z(-9)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 354116 = -354131, -5*i = -4*h - 15 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let a(u) = 2*u**2 - u + 2. Let g be a(-2). Suppose 2*q + q + g = -3*j, q + 7 = 2*j. Let s(l) = j - l - 2 + 6. Calculate 5*r(v) - s(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013575 to 4 dps.\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 434400 and 16.\nAnswer: 434400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/150*(-5)\/16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 take away -155624688?\nAnswer: 155624688.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -276 (b) -104.6 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 1. Let t be m(3). Let p be t\/16 - (-30)\/8. Let i be (225\/(-15))\/(-3) + (-1 - -1). Solve i*g = -2*a + 3*g - 8, 5*a - p = g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 + 23*j**2 + 95*j - 100. What are the prime factors of o(-18)?\nAnswer: 2, 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234.000129 - 234. What is u rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 88?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-9)\/j))\/j*j)\/j*j\/(j\/((j**(-1\/5)*j)\/j*j))*j*(j\/j**(1\/2))**(14\/9) assuming j is positive.\nAnswer: j**(566\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 17 in increasing order.\nAnswer: -5, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 divided by 7?\nAnswer: 649\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -15, -12*j + 367 = 2*i - 15*j. Let k = i - -562. List the prime factors of k.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/36*(14*5 - 1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30497341 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: Let o(j) = -23*j + 52. Let g be o(2). Solve 25 = g*p - 11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 292212 and 227276?\nAnswer: 2045484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1533 divided by 7.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214331 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from kmkfxsfkttss.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-498 - 394 - 87)*(1 + 3*w**3 + 0*w**3 - w**3) to x*w**3 + k + m*w**2 + s*w and give k.\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.056*575808\nAnswer: 32245.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*q - 360*q = 6784. What is the least common multiple of q and 265?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -80*a**2 - 71*a**2 + 148*a**2. Let g(y) = 18*y. Calculate n(g(x)).\nAnswer: -972*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 52. Let l be 55\/t + 22\/6. Suppose -3*v - l*v = -440. What is the highest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from zzdzzdsedsspdzsppddp?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 4, y: 4, k: 3, h: 1, r: 5}. What is prob of sequence hek?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**8\/84 - o**4\/12 + o**2 - 3. Let x(d) be the second derivative of g(d). Find the second derivative of x(m) wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*l = -6*w - 66, -4*l - 267 + 170 = -121 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c + 21 + 2*c + c + c**2 - 14. Let y be q(-5). Is (-2 - y)*(-1 - -950) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/120*4\/(-6)*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*(sqrt(400)\/sqrt(5) - sqrt(25)\/(sqrt(5)*1)) - ((sqrt(10)\/sqrt(18) - sqrt(5) - sqrt(5)*-1*3) + 1))*-6)**2.\nAnswer: -464*sqrt(5) + 16836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28353747 to the nearest integer?\nAnswer: 5325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.12719, 1\/4, 2\/33 in decreasing order.\nAnswer: 1\/4, 2\/33, -0.12719, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*p - 22, h - 2 = 3*p - 2*p. Suppose 591 = 2*x + x. Suppose -h*d + 58 = -x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.85?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + 3)\/5)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-276)\/(-1449))\/((-3)\/21)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -30*d**3 - 19*d**2 + 7*d + 12. List the prime factors of g(-5).\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50812997*d*i**3 + 7*d*i**2 - 760*d + i**2 - 3*i + 28 wrt i.\nAnswer: 304877982*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 18*m + 60. Suppose -142 = -5*v - 67. Let f be c(v). Calculate the greatest common divisor of f and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 22.3677846 minutes?\nAnswer: 0.00221902625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 3, z: 6, y: 4}. Give prob of picking 2 z, 1 m, and 1 k.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l**7 - 1\/30*l**5 + 0*l**6 + 0*l + 0*l**4 + 1\/336*l**8 - 2*l**2 + 0 + 0*l**3. Find the third derivative of a(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 5. Suppose 5*r + 25 = r - 3*g, 2*g = -5*r - 33. What is the smallest common multiple of m(r) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jufofuulluuu. Give prob of picking 1 f and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -7112, 3, 23, -7, 1\/3, -2\/19?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/2 in 5\/3, 1, 0.008564?\nAnswer: 0.008564","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182770 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -34.3937?\nAnswer: 20.6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**7\/70 - g**5\/20 + g**2\/2 + 1. Let f(z) be the second derivative of v(z). Find the third derivative of f(j) wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = -17, -2*x - 80 = -4*h. Let t be ((-3)\/(-16))\/(h\/(-12)). What is the second smallest value in -0.1, t, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j - 3*j)*(-1 + 2 + 1) - j - 14*j - 6*j + 0 + 0 - 2*j + 3*j + 2*j - 6*j - 2*j + 4*j - 4*j + (-j + 3*j - 4*j)*(5 - 1 - 2) + 2 - 2*j - 2.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*(d\/(d\/d**10)*d*d)\/d)\/(((((d**6*d)\/d)\/d)\/d)\/(d\/(d**7*d)*d)))**(2\/27) assuming d is positive.\nAnswer: d**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*u + 250. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 39*i + 4. Determine c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -54, -53, -52?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k + 4. Let x = 10 - k. Suppose x*d = d. Solve -2*n = -4*b + 8, -2*b + 4 = -d*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 5*r**4\/6 + 17*r**3\/3 - 7*r**2. What is the first derivative of c(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/((s**3\/s)\/s)*s*s)\/(s**11\/s))\/(s\/(s\/(s**(-3)\/s)*s))**(-13\/5))**(3\/2) assuming s is positive.\nAnswer: s**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 29 = -3*l - 38, 17 = -l + 2*d. Let r(o) = -o**3 - 22*o**2 - 25*o + 16. What is the hundreds digit of r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5031069, -10062167, -15093265, -20124363, -25155461, -30186559?\n\"Answer: -5031098*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23672270207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530860?\nAnswer: 2, 5, 76543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/21)*m)\/m)\/(m\/m**(-7)) assuming m is positive.\nAnswer: m**(-149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1\/8, -1\/14, -5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5168 + 5534. What is the greatest common factor of t and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -15, -22, -31, -42, -55?\n\"Answer: -o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24835, -49633, -74443, -99271, -124123, -149005, -173923?\n\"Answer: -z**3 - 24791*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 6 = -3*k. Suppose k*m + m = -10. Let o(x) = -x - 21. Determine o(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g - 17. Let w(f) = -7*f - 8. Let l(b) = -4*c(b) + 9*w(b). Suppose -k = -5*h - 938, -4*h - 5*k - 178 = 555. Let x = h - -183. Give l(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n**2 - 38*n + 19. Let r be t(3). Solve 3*u - 15 = -4*i + r, -5*i + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -s - 6, 906*s + 698 = 557*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61318651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -0.06, 271, 1\/4, -0.07?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50620353, 50620352, 50620351, 50620350?\nAnswer: 50620349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 228*i - 76*i - 76*i - 74*i. Let z(l) be the third derivative of -3*l**5\/40 - l**3\/6 - l**2. Let y(m) be the first derivative of z(m). Give k(y(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/99*1*-18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311 and 79616?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 556?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 44*h**2. Let d(b) = -70*b**2. Determine d(c(g)).\nAnswer: -135520*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**4 + x**3 + x + 1. Let h(c) = 18*c**4 + 471*c**3 - 3450*c + 4. Let f(u) = -h(u) + 4*q(u). What is the second derivative of f(r) wrt r?\nAnswer: 24*r**2 - 2802*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = x - 3*g + 14, 0 = g + 4. Let f = -4.9 + 1.9. What is the nearest to f in -2\/7, x, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(-1))**(1\/6) assuming n is positive.\nAnswer: n**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-4) - (-5 - (-18)\/7) - 10999\/119.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9667 and 243 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1737 and 13.\nAnswer: -15.2581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 181665995?\nAnswer: 181665996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 2 - 31) + -3 + 26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x + x**2 + 1\/24*x**4 - 1\/120*x**5 - 1\/12*x**3 + 2. Let d(u) be the second derivative of i(u). Find n, given that d(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 10*w + 9. Let h be d(8). Let n = h + -42. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 5, 4 in increasing order.\nAnswer: -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.037?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 50 = 8. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 12 (b) -2\/9 (c) -1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*y**3 + 278*y**3 + 460*y**3.\nAnswer: 1013*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 + 2*a**4 + 974767*a**2 - 171427*a + 4 wrt a.\nAnswer: 40*a**3 + 24*a**2 + 1949534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 155?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((sqrt(972) - sqrt(972)*1) + sqrt(972)))**2*-6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*k - 153*k - 180 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1266 and 9?\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 134. What is x(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 + t**3 - 5*t**3)*(11967 - 23910 + 12438) in the form j*t + u*t**3 + p*t**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 3*u**2 - 2*u**2)*(-2*u**2 + 3*u**2 + 8*u**2) + 2*u**4 - u**3 + 3*u**3 - 2 - 4*u**3 to n*u**4 + l*u**2 + q + c*u**3 + d*u and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/1)\/(-51))\/((-624)\/(-1248))*-1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1, 24\/41.\nAnswer: -1, 24\/41, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1700 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3 + 5*m + 4 + 6*m - m**2 - 5*m - 5*m. Let j(v) = -6*v**2 - 14*v + 116. Let t(h) = j(h) - 4*z(h). Differentiate t(x) wrt x.\nAnswer: -4*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/(-18) - (-2)\/(-9). What is the units digit of p\/(-3)*(-90)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84623*g**3 + g**2 + 6810 wrt g?\nAnswer: 507738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 - 726*x**3 + 85239*x**2 + 2966274*x + 8112312 = 0.\nAnswer: -321, -26, -3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436089 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 252943627 to the power of 1\/2, to the nearest integer?\nAnswer: 15904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -271985968 divided by 67996492\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in hours?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 2*b - 3*b)*(-3*b + 3*b + b) - 4*b**2 + 2*b**2 + b**2 + (-23*b + 11*b + 38*b)*(2 - 2 + 3*b) to p*b**2 + j + n*b and give p.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6063 is divided by 550.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = -0*u. Suppose 9 = t - u. Let d(y) = -7*y**2 + t*y**2 - 7*y**2. Let r(w) = -w. Calculate r(d(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -659*a*g*k**3 - 9*a*k**3*v - a*k**2 - 14821*g*k**3 + g*k*v - 6594*k**3*v - k**3 - k**2*v wrt g.\nAnswer: -659*a*k**3 - 14821*k**3 + k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, 1 o, and 1 d when four letters picked without replacement from modqmaql.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*y + 30, -5*r + 3*y + 7297 = 0. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16*1 - 1*2. Suppose -10 - n = -r. Let i be (24\/14)\/(3\/14). Calculate the highest common factor of i and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10603, -10602, -10601?\n\"Answer: z - 10604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103722313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1362 + 1400. Calculate the greatest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2635716 and 18.\nAnswer: 7907148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 3\/4, -4\/7, 69\/4, -4\/3, 1\/3?\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*m - 7624, -2*m + 3*m - 2538 = -2*c. Let u = -1801 + m. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/21 - s**6\/5 + 2*s**4\/3 - 28*s. Determine c so that o(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Let d be 2\/((-5)\/j - -3). Suppose -3*g + d*t - 3*t + 475 = 0, g - 169 = 3*t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5761, 106, -5, 5, 4 in ascending order.\nAnswer: -5761, -5, 2\/9, 4, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*-6*19\/(342\/90).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11*a = 1, 3*m - 472*a = -477*a + 56 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1836)\/(-85))\/18*((-20)\/8)\/(4\/148)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 4*n. Let b be 6\/(-12)*(-6 - 0). Let w be h(b). Calculate the highest common divisor of w and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6257, -6260, -6265, -6272, -6281, -6292?\n\"Answer: -j**2 - 6256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5\/3)*m**(-1\/22)*(m\/(m**(-2\/23)\/m))**(-40) assuming m is positive.\nAnswer: m**(-127801\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -28, -35, -20, 29, 124?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1124618, -2249246, -3373882, -4498532, -5623202, -6747898?\nAnswer: -7872626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2860160 and 25\/656.\nAnswer: 2860160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(208)\/sqrt(4))\/(sqrt(144)*-4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*t - 1562, 2*v - 1615 = -4*t + 471. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-199)\/(-3) - (-6)\/9. Let s = 98 - f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 divided by -91?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/38)\/(14412\/2373176)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - -4. Suppose 0 = -5*t - 2*z + c, 2*t + 2*z = 4*t - 56. Let r = 46 - t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 205, 196, 167, 112, 25?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 20*j**2 + 15. Let g(l) = -21*l**2 - 15. Suppose 42 = -6*h + 66. Let s(i) = h*g(i) + 3*w(i). Differentiate s(c) with respect to c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 22 = -2. Let l = -1 + 1. Suppose 3*r + 2*w - 17 = 0, 6*r - 28 = 2*r - 4*w. Put r, l, -3, p in ascending order.\nAnswer: -3, l, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 226*u**2 + 88*u**2 - 94*u**2 + (-1 + 1 - u)*(u + 0*u + 0*u).\nAnswer: 219*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -1.9. Let z = 1.9 - l. Which is the third smallest value? (a) 3 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54780760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7715 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 5, d: 3, g: 1, b: 1, f: 2}. What is prob of picking 2 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191916\/48 + (-9)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59428.3539 rounded to the nearest integer?\nAnswer: 59428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:20 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 398 - 5?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63241.39t to grams.\nAnswer: 63241390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 0. Let g(h) = -h + 4. Let j be g(s). Solve k + 0*k = -j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3*r**2 + r**2)*(388 + 3*r + 400 - 802).\nAnswer: -12*r**3 + 56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 - 8*d - 6. Let v(i) be the second derivative of -5*i**4\/12 + 7*i**3\/6 + 5*i**2\/2 - 12*i + 4. Determine -3*u(k) - 4*v(k).\nAnswer: 2*k**2 - 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:05 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 297 = -9 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103988708867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n + 48*n + 35*n = 910 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:01 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 4. Let m be l(-6). Suppose -2*r - 2 = 2*f - 6, 3*f - m = r. Suppose 5*c - 5 = -n + f, -18 = -2*c + 3*n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*c = -35, 43 = -5*b - 3*c + 101 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -225, -232, -239?\n\"Answer: -7*l - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5391014 is divided by 5390997.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 100 = v - 2*y - 4*y, 0 = 6*v + 5*y - 77 - 25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u**3 + u**2 + u + 3. Let p(r) = -r**3 + r**2 + 3. What is -3*p(c) + 3*y(c)?\nAnswer: -33*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 68, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 27 = 2*i + 69, 19*i + 18*i + 850 = 3*a + 531 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + s**2 + 92.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2744\/(-1960)*(-258)\/28)\/(((-30)\/(-25))\/(-1)).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 22. Let v be (y\/5)\/2 + -3. Let a(s) = -s + 1. What is a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u - 20*u - 15*u)*(550*u - 20*u - 173*u).\nAnswer: -6783*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30138507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3901 + 256.6899. Let t = d - 258. Round t to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:23 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtkktytvtjyqvyjk. What is prob of picking 1 v and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*k - 240, 0 = 3*k - 5*f - 78 - 50. Let o = 48 - k. Sort -1, 2, -4, o.\nAnswer: -4, o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((3 + -1 + -1)*-3). Let m(h) = 2*h**2 - h + 2. Let j be m(f). Does 11 divide 3 + (-139 + 7)*(-1)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, -1, 0, -3\/5 in increasing order.\nAnswer: -1, -3\/5, 0, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 14 = -6*b. Suppose -b*n + w = -n - 12, -4*n + w = -17. Determine z, given that 29*z**4 - n*z + 16*z**3 - 2*z**2 + z - 21*z**4 = 0.\nAnswer: -2, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by 33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.5, -2\/9, -1\/179007, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/592)\/((-2)\/24*2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8617 + 2*b - 86376 + 16*b.\nAnswer: 18*b - 94993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**43*(t**(-1\/2)*t)**(-11\/5))\/((t*t\/((t\/(t*t*t**(-1\/2))*t)\/t))**5)**46 assuming t is positive.\nAnswer: t**(-6621\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. Let b be t*(3 + -2) + 8. Let q = 10 - 6. Solve 0 = -b*d + q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 1. What is the second smallest value in w, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 18 - 6)*(3*i**3 - 13*i**3 - 2*i**3 + i**3 + 0*i + 0*i + (-1 + 6 - 4)*(-6*i**3 + 3*i**3 + i**3) + 5*i**3 - 5*i**3 - i**3).\nAnswer: -182*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 2*b + 4*b - 7*b**2.\nAnswer: -7*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 5\/2)*32. Suppose -g*j + 26*j + 2530 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 144 - -1?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 86, 299, 712, 1391, 2402, 3811, 5684?\nAnswer: 8087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(-2*sqrt(128)))**2 + 5.\nAnswer: 1299\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/15 + 10*y**2. Let t(a) = -12*a**2. What is t(l(h))?\nAnswer: -192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 - -100?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 4*l + 3. Let j be o(5). Suppose -v = -j*v + 406. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -r + 5*w - 14, r - w + 8 = 0. Let v(o) = 9*o**3 + 5*o**2 - 7*o. Let z(s) = 8*s**3 + 4*s**2 - 6*s. Determine r*v(h) + 5*z(h).\nAnswer: 4*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4. Let q be 0\/u*3\/6. Suppose p - 3*w - 10 - 2 = q, -5*p + w = -4. Solve 0*t + 3*t + 5*l + 4 = p, -2*l = -t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3*s**2 - 82*o**3 - 112*s**2 - 4 wrt s?\nAnswer: 2*o**3*s - 224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, m: 1, o: 6, k: 4}. Give prob of picking 2 o and 1 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*x + 11 + 44 + 33 = -2*g, 0 = -14*g + 4*x - 268 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 2*c**2 - c - 2. Let r(z) = 345*z**4 - 4*z**3 - 8*z**2 - 4*z + 317. Let b(k) = -4*f(k) + r(k). Find the first derivative of b(j) wrt j.\nAnswer: 1380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - 5 - (-42)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 54, 87, 124, 165?\n\"Answer: 2*t**2 + 23*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-399)*14*(-3)\/(-17)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 426 + 534. Let a(t) = 2*t + 19*t - t**2 - 3 - t**2 + 17. Let z be a(10). Calculate the greatest common factor of z and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q + 2*h + 65, h = -q - 21. Let a = -18 - q. What is the smallest common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 50*i**2 - 78*i - 12. Give y(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 + 105. Let k be (-1)\/(-3 - 140\/i). Suppose 2*f = -2*z + 304, 0 = 2*z + 3*f - 0*f - 300. What is the highest common divisor of z and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.5 (b) 0 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*x - 76*x - 46*x + 60*x = 0. Solve 3*p - 2*l + 12 = x, 4*p - 4*l - 10 = -30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1.2. Let f = -0.06 - -0.06. What is the nearest to k in -0.1, f, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 77*n**2 + 11*n - 34. What are the prime factors of w(-7)?\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*x + 18 - 13 = 0, 0 = -2*u - 3*x - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*i - 27 = 0, -3 = a - i - 2. Suppose -5*z + 9 + 6 = 5*q, 3 = z + a*q. Suppose 0*t**2 + 0*t**z - 1\/3*t**4 + 0 + 0*t = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-6)\/4))\/(22\/99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10)*-1347 - (-2)\/5. Let f = 908 + u. Suppose 5*h = -2*k + f, h + 4*k + 141 = 2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:35 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59972685 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 106 + 39 + 48)*(-2 + 3 + 0)*(4*g**2 + g**2 - 4*g**2).\nAnswer: -2*g**4 - 19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/2614 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 5. Let i(j) = j. Let g(o) = 6*i(o) + u(o). Find the first derivative of g(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1903 and 189781?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.39 + -258.39. Let w = g + 248. What is the closest to -2\/5 in -5, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1865.737 rounded to the nearest ten?\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 455 + -466. What is the closest to -1 in 0.5, k, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + 54. Suppose 3*o + 229 = 2*b, -2*o = -b + 29 + 123. Let j = o - -84. Calculate the highest common factor of j and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, i: 1, r: 1, z: 1, u: 1}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.118 plus 1579?\nAnswer: 1295.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -29, -41, -53, -65?\n\"Answer: -12*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 181*l - 266. Give n(1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + w**2 - 15*w - 27*w.\nAnswer: 2*w*(w - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232022 (base 4) in base 11?\nAnswer: -2246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-6 + 16) - (2 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 33 = 13. Let z = 9 - w. Suppose z*j - s = -6635, 4*j + s + 6645 = -0*j. What is j rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 15*k - 1068 = 0, -9*r + 22*r + 13*k + 323 = 17*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-3\/2)*w**(-3)*w\/w**4*w*w\/w**(-2\/9)*w*w*w**4\/w*w**(1\/7)*w*w*(w**(2\/5))**45 assuming w is positive.\nAnswer: w**(2629\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-6 - (sqrt(1620)*-1 + sqrt(1620)))\/(sqrt(160) - 5*(sqrt(160) + -1*sqrt(160))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(77)*-4)\/(sqrt(77)\/(sqrt(28) + sqrt(7))).\nAnswer: -48*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:37 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7655194?\nAnswer: 2, 101, 37897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8197 divided by 1171.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - w + 5, -7*a - w - 16 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -227d6b (base 16) in base 10?\nAnswer: -2260331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 129899 (b) -2 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147032149 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -1163*h**6\/20 + 6019*h**5\/60 - 812*h**2 - 6*h. What is the third derivative of a(g) wrt g?\nAnswer: -41868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 23*r**2 + 11*r + 4. Suppose -119*j - b + 46 = -115*j, 4*j + 2*b - 48 = 0. What is i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3798*g**2 - 3774*g**2 + 7597*g**2.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -25. Let h = s + 31. Let j(y) = 1147*y + 19609. Let v be j(-17). Calculate the greatest common divisor of v and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 + -1 + 5 - 2) + -15798 + 15873.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**10*k**(-2\/21)*k)\/(k**(-4))**(-6) assuming k is positive.\nAnswer: k**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 10 + 55. Suppose -t = -2*y + 57. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706889968 a multiple of 2768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4376)\/(-3))\/4*3. Let n = h - 771. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1382, -5575, -12552, -22307, -34834, -50127?\nAnswer: -68180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 379 in -7, -0.006, -2?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54 and 3325.098.\nAnswer: 3271.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100440 and 7911324.\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 212, 424, 638, 854, 1072, 1292, 1514?\n\"Answer: z**2 + 209*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 48210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -617 - 84186.\nAnswer: -84803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6898 + 626. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/20 - c**4\/3 + c**3\/3 - 7*c**2\/2 - 10*c. Let k be q(-5). What is the highest common divisor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-2736)*((-1)\/2 - 9\/6)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12*(58461\/(-702) - (-4)\/(-18))?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 3, h: 1, j: 1, w: 4, m: 1}. What is prob of sequence gow?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13047*s**2 + 13047*s**2 - 2*s**3 + 5*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 198*l.\nAnswer: 3*l*(l - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -707, -404, 293, 1582, 3661?\n\"Answer: 33*v**3 - v**2 + 75*v - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhmh when four letters picked without replacement from hmhnnhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 143*x**3 + 18*x**3 + 0*x**2 + 3*x**2.\nAnswer: -125*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h**(-1\/3)\/h))*h*h\/(h\/(h*h\/h**(-1\/5)*h))*h)\/((h\/(h**5*h)*h)\/(h*h**(2\/7)\/h)) assuming h is positive.\nAnswer: h**(856\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.7. Let x = 3.2 + -0.2. Which is the closest to x? (a) -4 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:27 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152.4 + -152.1. Let k = 3.5 + -3.4. Which is the second smallest value? (a) k (b) r (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10184753, 20369523, 30554291, 40739057, 50923821, 61108583, 71293343?\n\"Answer: -q**2 + 10184773*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17 (b) 3\/5 (c) 0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 461*d**4*j**2 + 2*d**4*j + 35*j**2 - 17*j wrt d?\nAnswer: 1844*d**3*j**2 + 8*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 - 150*j - 19. Let l(n) = 13*n**2 + 148*n + 18. Let z(t) = 6*l(t) + 5*m(t). Determine z(-46).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gygy when four letters picked without replacement from gggggygygygygy?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 9*g - 5. Let x be l(8). Let k = x + 22. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30567 is divided by 30537?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -540\/299 + -660067\/897. Let u = n - -35147\/48. Calculate the common denominator of u and 89\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) - (-2*sqrt(2112) - sqrt(2112)))\/(sqrt(12)*2).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66286 and -50.29.\nAnswer: -66336.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390 - -1060. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5034481 + -36?\nAnswer: 5034445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5381 + 4.54. Let o = j - 1.0019. What is the smallest value in 20, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2. Let u(f) = -4*f**3 - 4*f**2 - 2*f - 2. Let t(a) = 5*l(a) + u(a). Let n(m) = -6*m**3 - 5*m**2 + 11*m + 11. What is -4*n(q) - 22*t(q)?\nAnswer: 2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/36960 and 71\/155232.\nAnswer: 776160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/30*1*(-8)\/(-30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaavavv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.77 - 18. Sort k, 4, -0.5, 4\/7 in descending order.\nAnswer: 4, 4\/7, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, u: 13, q: 1}. Give prob of picking 1 q, 2 u, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 minus -0.3?\nAnswer: -744.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.3752769519024.\nAnswer: -2.3752769519024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(475)*-4) + (sqrt(76)\/sqrt(4) + 0)**2 + 3.\nAnswer: 22 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13773.6049 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2. Suppose 3*h = h - 14. Let s = h + 13. Let x(w) = s*w**2 - 2*w**2 - 4*w**2 - 2*w**2. Give x(u(y)).\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11474 + -0.28526. What is the nearest to 1.76 in -0.3, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12426 and 54.\nAnswer: 111834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*j**3 - 66*j**2 - 40*j = 0. Calculate j.\nAnswer: -20\/13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = 3*y, 0 = -4*h + y - 5*y + 20. Let f = -1 + h. Let n = -4.5 + 7.5. Put n, f, 2 in descending order.\nAnswer: n, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(2\/5))\/s*s))**15)**(-3\/13) assuming s is positive.\nAnswer: s**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {c: 1, m: 2, z: 1, p: 2, h: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1436*i**2 - 61*i + 61*i + 3822*i**2 + 5714*i**2 in the form h + u*i**2 + n*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4111675?\nAnswer: 5, 163, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2067*o**4 + 2513*o**3 - o**2 - 900*o - 6538.\nAnswer: -24804*o**2 + 15078*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1. Let t(q) = -10*q - 10. What is 10*p(h) + t(h)?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12899433*n**2 + 24990772*n + 2?\nAnswer: -25798866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - r**3 + 0*r**3 + 4*r**3 to the form s*r**2 + m + l*r + d*r**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert a58840 (base 11) to base 10.\nAnswer: 1695375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2) - (-10)\/(-20)*(-5 + 112 + 6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n = 39*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 51.00235. Round i to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141185 - 282374 + 141189 + 9*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 117. Let v be n(-22). Suppose -5 + 25 = 4*k. What is the third derivative of -m**2 + v*m**k + 4*m**5 + 10*m**2 wrt m?\nAnswer: 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19946 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: Solve 3*z = 5*w + 58, 3*z + 259 - 9 = -17*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-72))\/(57\/(-8892))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08392751 from -4.\nAnswer: -4.08392751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/25232031 and 83\/84.\nAnswer: 706496868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/9 + 14*f**3\/9 + 8*f**2 - 800*f. Factor m(y).\nAnswer: 4*(y + 3)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 7 + 35*d - 2 - d.\nAnswer: 41*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 - 3 = 0. Let b(r) be the second derivative of -1\/12*r**y + 0*r**2 + 0*r**3 + 0 + r + 3\/20*r**5. Find the third derivative of b(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39824.16 nanometers in millimeters?\nAnswer: 0.03982416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(1190*q**2 - 107*q**2 + 2214*q**2).\nAnswer: -3297*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goqigjib. What is prob of picking 1 g and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**4 + 399*k**3 - 12654*k**2 + 105204*k + 264264 = 0?\nAnswer: -2, 22, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -32, -40, -48, -56?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 925 (c) -37 (d) -3 (e) 0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + (-124)\/160. Let o = -3.0954 - -0.0954. Which is the nearest to -3? (a) -2 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/1620)\/(4\/(-6)). Suppose -7*r - 4*q = 23, 7*r = 2*r + q - 1. Is r >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137610 and 217440?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*q - 221*q + 41540 = -106*q for q.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36921467 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*j = -157*j + u - 56327, 5*j - 56315 = -5*u. What are the prime factors of j?\nAnswer: 2, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 2*b**2 - 6439*b**3 + 6442*b**3 + 3*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (20 + 0)) + (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1. Let q = -7 + 11. Let a(k) = k - 4. Let g(x) = q*r(x) + a(x). Let i(z) = 2*z. Determine i(g(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/7 < -160625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssszsszszssszs. What is prob of picking 2 s?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 7. Let o(s) be the third derivative of s**7\/1260 + 11*s**4\/24 - 36*s**2. Let t(c) be the second derivative of o(c). Give x(t(q)).\nAnswer: 2*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.830548 rounded to 2 dps?\nAnswer: 2.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 8*x - 4. Let p be y(7). Let t be (-2 - -1)*(2 - p). Is t - (-63 + (-5 - -2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 450*r**2 - 4935*r - 5390.\nAnswer: -5*(r - 77)*(r - 14)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 135, 155, 249, 453, 803, 1335?\n\"Answer: 6*s**3 + s**2 - 25*s + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 13. Suppose 4*t + 4 + 20 = 0. Let q be v(t). Suppose q = i - 14. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 3*o - 8. Let w be z(-5). Suppose -j = t - 3*t - 24, -j + 4*t + 26 = 0. Calculate the least common multiple of j and 33*(-2 + w\/12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256720*24.\nAnswer: -6161280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.44703 - 0.041?\nAnswer: 336.40603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4 - 2268*w**3 + 196491*w**2 + 203310*w - 397536 = 0. What is w?\nAnswer: -2, 1, 101, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1968, 7064, 15560, 27456, 42752, 61448, 83544?\nAnswer: 109040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r - 12*r + 33*r in the form y + l*r and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/32 - (-3)\/(-4). Let z be (p\/1)\/(2 - 1). Let r(j) = 3*j**2 - j. Calculate r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1591, 1581, 1571, 1561, 1551?\n\"Answer: -10*b + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 395399208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 2, -943, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0*t**3 - 2*t + 1\/6*t**4 + 0 - t**2. Differentiate u(h) wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -17. Let j = -173 + 1213\/7. Let v = -3.4 + 4.4. Which is the closest to p? (a) j (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f. Suppose f = -3*c + 12. Let u(a) = a - 2. Let z be u(c). Solve z*g + 0*t = -t, 0 = -5*g + 2*t + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 31*p**2 - 12*p + 394. Calculate m(31).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1372\/(-240)*(-3)\/(42\/4) and (-168)\/(-9) + 18\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 13*t - 3)*(3*t - 2 + 2) + (-2 + 3 + 1)*(t**2 + 2*t**2 + 0*t**2).\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 1. Let j(m) = -2. Let w(k) = -k + 2. Let x(d) = 1. Let y(h) = h**2 - 5*h - 1. Let c be y(5). Let l(n) = c*w(n) - 5*x(n). Determine s*j(z) - 2*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23755\/2 + -11876. Find w, given that c*w + 1\/2*w**3 - 3\/2*w**2 - 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 2, -3*u - 3*f = -699. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 390*z - 192*z + 3 - 197*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let s = -37 + 41. What is the second derivative of t + t + q*t + s*t**3 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16390 and 20895?\nAnswer: 68493810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 175129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v**2 - 55*v - 6. Does 74 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -622 (b) -4 (c) -0.01 (d) 1\/8 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 228. Let u = i + -198. What is the least common multiple of u and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*a + 39. Suppose 4*g + 32 = a*g. Put -2\/7, -70, g, -5 in ascending order.\nAnswer: -70, -5, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -332*l - 667. What is d(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbeeklekepkelkphe. Give prob of picking 2 l and 2 p.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16249862*w**3 - 27113141*w wrt w.\nAnswer: -97499172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + (-232)\/(-2 + -6). Solve 0 = -k*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 919 + -7335\/8. Calculate the common denominator of ((-525)\/(-27))\/(-7) - 0 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -112304?\nAnswer: 112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*l - 4, 3*u - 5 + 19 = -4*l. What are the prime factors of (-2446)\/(-10) + u\/(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14 - 45*q**2 - 8 + 29*q**4 - 2*q - 8. Let d(x) = x**4 - x**2 - x - 1. Let l(w) = -2*d(w) + f(w). What is the third derivative of l(m) wrt m?\nAnswer: 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 31570968 (b) 4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1093.\nAnswer: -109.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 4*i + 7. Let f be v(-5). Suppose 0 = -p + f + 8. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/(-20) + (-1)\/(-2). What are the prime factors of (140\/12 - -3)*a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*v + 11 = 3*j, 5*j + 3*v = 14. What is the units digit of (1 - 5) + 25\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350017 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17577, 35187, 52811, 70449, 88101, 105767?\n\"Answer: 7*f**2 + 17589*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/395 (b) -39 (c) -903 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-3)\/(-9))\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, 2, 52, 122, 212, 322?\n\"Answer: 10*t**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 3:07 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 4*u. Let z be (-8)\/21 + 2\/u. What is the second smallest value in -3, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*o = -178*o - 5. Let w(b) be the second derivative of 0*b**2 + 0*b**4 + 0 - 5\/6*b**3 + 1\/20*b**o + 4*b. What is the second derivative of w(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-6) + 1)*18. Let d be (-2)\/6*l\/1. Suppose -4*q + 32 = d*i - 0*i, 4 = 3*i - q. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m**3 + 2\/35*m**7 + 0*m**5 - 119*m**2 + 0*m**6 + 0*m + 15\/4*m**4 + 0. Find the second derivative of l(h) wrt h.\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 16*o**2. Let v(z) = z**2. Let k(r) = -t(r) + 10*v(r). Let u(q) = -6*q**2. Let x(y) = -17*y**2. Let g(m) = -11*u(m) + 4*x(m). Calculate g(k(s)).\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 48.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (351\/18)\/13*(-2)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0*g - 5*g + 2*g**2 - g**2 - 2. Suppose -2 = o - 0, -3*o = -2*w + 16. What is y(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 74*(-41060)\/417456 - -2. Let j = x - -2\/2899. Calculate the common denominator of 57\/4 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10985.6065 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40904\/7 - 5834. Let u = r - 128\/21. Solve u*z**3 + 0 - 28\/9*z**2 - 2\/9*z = 0 for z.\nAnswer: -1\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*n - 95*n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 20*i**2 + 2*i + 2. Let k be t(-1). Suppose 10*m - 9*m = k. Calculate the remainder when m is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27660*j**3*o**3 + 22029*j**3 wrt o?\nAnswer: -82980*j**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9608076\/5 <= 1921616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/89*(5092\/67)\/76\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdvpppdpp. What is prob of sequence dpd?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/16 - 14\/(-28)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292769609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - b + 83, -48 + 15 = -3*w + 5*b. Suppose -4*y - 32 = -8*r + 4*r, -4*y + w = 2*r. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 + 2 + 36\/20. Suppose -j + x - 4 - 5 = 0, -x + i = 0. Which is the smallest value? (a) 3 (b) -6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 40*v**3 + 11*v**2 - 92. Let t(k) = 13*k**3 + 4*k**2 - 31. Give -4*s(l) + 11*t(l).\nAnswer: -17*l**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356*j - 43167 = 78734 + 59844 - 36653 for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -3 + -5 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (216\/(-48))\/(6\/8*-1). What is the remainder when z + (10 - 1) - -2 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5*42\/(-70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30386822 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 2*n + 2*n - 8*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(1\/14 - (-32)\/(-112)). Let y = 31 + i. Solve -y*x + 2 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -2\/193, 0.2, -9, -8 in descending order.\nAnswer: 7, 3, 0.2, -2\/193, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3994 = n - 1634, -w - 45123 = -8*n. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120179782 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25666, -51331, -76998, -102667, -128338, -154011, -179686?\n\"Answer: -q**2 - 25662*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 9:38 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 2 - -34907) + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7304*r + 18160*r**2 - 18158*r**2 + 8 - 4214*r**5 - 3 - 5 wrt r?\nAnswer: -84280*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 37*p**2 - 560*p + 11083. Determine y(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/260)\/(((-2)\/(48\/12))\/4).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/17682 and 107\/6.\nAnswer: 17682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(4*1\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220.99 + -216.99. Let r = -132 + 93. Which is the fourth biggest value? (a) x (b) 1 (c) 5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u + 49. Let p be t(-11). Let h = 260 + -160. Suppose o - p*o = -h. What is the remainder when 48 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38295 and 1662?\nAnswer: 21215430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*n + 73179 = 723*n + 956*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7374 at least 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 252?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-26)\/r)**(1\/6)*(r**(-1)*r)\/(r*r**(-14\/11)) assuming r is positive.\nAnswer: r**(-93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 102. Let m be r(20). Solve 2*n + 5*c + 3 = 0, -m*n + 3*c + 0*c + 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1650*f**6 - 579*f**2 + 2*f wrt f.\nAnswer: -198000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13373*y - 347704. Calculate f(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 87*t + 2525. Let z be m(-29). Let g be (3 - 0)*(-10)\/(-3). Suppose -z*r = -g*r + 32. Let o(x) = 2*x + 2. What is o(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -5. Let j = 52 - 58. Let l = g - j. Round l to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 times 5\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - -2 - 54*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -45*q**2 - 769*q - 51. Calculate v(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2 - 2. Let g be k(2). Let b be (g\/68013)\/(2\/336246). Let a = b - 3\/5038. Calculate the common denominator of a and -119\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x**2 + 90*x - 40. What is w(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-f - 2 + 2) + f + 3*f - 2*f + (-3 + 1 + 0)*(-f + 0*f - 2*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 490 - 20230 = 0. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uru when three letters picked without replacement from ururu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)\/(74\/444). Solve 15 = -2*x + c*f - f, 2*x + 9 = -f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 6 (c) -3\/4 (d) -3 (e) -0.4 (f) -303\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1121420 (base 5) to base 8\nAnswer: -47413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*g - 122 = 25, 12*n - 118 = 8*n - 3*g for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208595*n**3*t**3 + 2*n**3 - 97*n**2 - n*t + 2*t**3 + 7*t wrt t.\nAnswer: 1251570*n**3*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 2, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/429 - 17\/((-4862)\/172).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -34 + (2 - 2) + 17 + -11 + -5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 24*n - 5*q - 56, 2*q = 4*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {z: 4, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*k = 67*k + 242516. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*t - 175 + 176, -4*t = -12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1789712 and 4921708.\nAnswer: 19686832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(21)\/sqrt(3))**2 - ((sqrt(77)*-2)\/sqrt(11))**2 - 5*(sqrt(112)*-2)**2.\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {l: 3, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + 1 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 69897\/3555 - 0. Let r = 2\/395 - s. What is the common denominator of (-2*(-106)\/4)\/(-33) and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 18. Let x be g(-4). Put 0.2, -0.5, x, -5 in descending order.\nAnswer: 0.2, -0.5, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82329514 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 0*a**4 + 4*a**4 - 4*a**4 + 0*a**4 + 5*a**4 + (2*a**2 - a + a)*(-4 + 4 + 2*a**2) + 2*a**4 + 0*a**2 + 0*a**2.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 + 2*p**2 + 3*p + 2. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 139738.\nAnswer: 1117904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103544611?\nAnswer: 37, 2798503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3549 + -3550. What is the third smallest value in -3.33, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -19*q**3\/6 - 5*q**2\/2 - 928*q. What is l(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.1 (c) -4\/5 (d) -1\/8 (e) -17590\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3579*l**2 + 2*l. Let i be d(2). Let x = 314783\/22 + i. Let j = 14791\/506 + -734\/23. Find the common denominator of j and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.87 + -4.13. Which is the closest to -0.3? (a) -2 (b) -0.3 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54672508 by -53548.\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(12\/(-5))*(-108)\/5040*-7\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 6*i**2 + 4 - 4*i**3 + 7*i**3 + 5*i. Suppose k = 4*v - 16, -3*k + 10 = 2*v - 12. Determine p(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.9 times -2720\nAnswer: 62288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 8, -0.4, -194\/7, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536028566?\nAnswer: 2, 4421, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (34\/(-8))\/(11\/(-132)). Suppose -2*m + 221 = -3*k + h, -320 = -4*m + k. Suppose m = 5*j + 9. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -637 + 682. What is the remainder when 274 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. Suppose -5*u + 180 = c - 21, -3*c = t*u - 203. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1154063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387071526*h**2*v**2 - 3*h**2*v - 2*h**2 - 373*h*v + 62*h - 31*v - 1 wrt v?\nAnswer: -774143052*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/15? (a) -236 (b) 7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22559768 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(36\/(-15)))\/((74200\/210)\/53).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -5*l**2\/2 - 5*l - 1. Let t be c(-8). Suppose -7 - t = -g. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus -4.60030276247?\nAnswer: 4.66030276247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28467342343952 - 28467342343952 - 10*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 31*c**2 + 26*c - 142. Calculate the remainder when t(-17) is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2653249.\nAnswer: -2653251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**5\/20 - 2*l**4\/3 + 5*l**3\/3 - 3*l. Does 12 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/2)*n\/n**(8\/9))**(-20) assuming n is positive.\nAnswer: n**(-650\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6923*b*o**3 + 6*b*o**2 + 5*b*o - 6008*b + 4*o**3 + 6*o**2 - 18*o wrt o?\nAnswer: 41538*b*o + 12*b + 24*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 divided by -20?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -27. Let x = 2.3 - h. Let c = -8.2 - x. What is c rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1*(-2040)\/272*1*2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = 3*y, -5 = -o + 5*y + 7. Let t(c) = -19*c - o + 2 + 4*c. Let i(m) = 7*m - m - 4*m. Determine t(i(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from {s: 7, a: 8, z: 5}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26358, 26341, 26320, 26295, 26266?\nAnswer: 26233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.72 times -5.766?\nAnswer: -15.68352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 5, f: 5, g: 5, v: 2, k: 1}. What is prob of picking 1 k and 1 j?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011021 - -1201101011?\nAnswer: 1211112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-2)\/(-3))\/(-1))\/(42\/(-945)). Suppose 14 + 76 = d*i. Solve i*h - 21 = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 31460*n**2 + 7*n + 3*n + 21274*n**2.\nAnswer: 52734*n**2 + 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p**2 + p - 4. What is c(-2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3)*9\/(-4))\/(-24*480\/783360)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 4040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - c. Let q(s) = -4*s**2 - 5*s - 4. Let d(x) = -x**3 - 8*x**2 + 26*x + 59. Let l be d(-10). Give l*q(o) + 3*k(o).\nAnswer: o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y = 56 + 142 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 813329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*z + 8557 = -454*z for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 - 34564432?\nAnswer: -34564262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68596 - 44879. What are the prime factors of h?\nAnswer: 37, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*66782\nAnswer: -333910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 9. Let v(l) = -606*l**2 + 0 + 1 + l**3 - 1 + 3 + 612*l**2. Calculate v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = -w, 71*w + 3*z = 72*w + 15. Let i be 4\/14 - (-32)\/(-14). Sort 7, w, i, -1 in decreasing order.\nAnswer: 7, w, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/320 - 91*n**5\/40 + 731*n**4\/64 - 183*n**3\/8 + 5*n**2 + 15*n - 1. Factor v(u).\nAnswer: -3*(u - 1)**2*(u + 366)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**4 - 1683647*x**3 - 234*x**2 - 52*x + 36?\nAnswer: -144*x - 10101882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2\/4 - 4801025*h\/4 + 1200255 = 0. What is h?\nAnswer: 1, 960204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 82 in descending order.\nAnswer: 82, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*f - 57*f + 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413174724 is divided by 59024960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Let k = c - 2. Suppose -60 = -k*b - b. Solve -2*g - 3*g - b = -5*d, -2*d = 4*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 2:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 (base 9) in base 4?\nAnswer: 110133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 198 = -0*g. Calculate the remainder when 61 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677364 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -120*l + 107. Is s(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*c + 212 = 56, -4*o = -5*c - 253. Let v(x) = -42 - x + 16 + 40 + 22. What is the remainder when o is divided by v(16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191273, -382556, -573851, -765164, -956501?\nAnswer: -1147868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -63409.\nAnswer: -63409.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 16324?\nAnswer: -16301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.1983 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.334884ml to litres.\nAnswer: 0.009334884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2285, -2140, -2131, -2258?\n\"Answer: -68*w**2 + 349*w - 2566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 5 + 18 = 0. Which is the closest to -2\/3? (a) o (b) -2\/5 (c) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36 + 665)\/((-45)\/24 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67112856*i**3 + 21403378*i**2 wrt i?\nAnswer: 402677136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5974*w**2 - 2987*w**2 - 2985*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414677 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 594909 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = p - 159, -5*m = -2*p - 878. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5080.4 + 5080. Let r = 0.3 + -1.3. Sort 0.5, -1\/4, j, r in decreasing order.\nAnswer: 0.5, -1\/4, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(325) + 1) + sqrt(325) + (sqrt(325) + 1)*-3)**2.\nAnswer: -23498 - 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 3*p + p**2 - p**3 - 2*p + 4 + 0*p**3. Let q be t(0). What is the first derivative of 4*d + 3*d**2 - 2 - q - 4*d wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134166\/7451 greater than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8350?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60\/11 + -589\/110. Let r = -27\/20 + a. Let m = 13136 + -13136.3. What is the biggest value in r, m, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose 0 = 2*f - u*f + 6. Suppose b - f = -2*b. Solve b*j + 8 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnmnnnmmn. What is prob of picking 2 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 e when four letters picked without replacement from {b: 2, v: 2, e: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from iwnhiihiihwphihnhhii.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 7.32.\nAnswer: -17.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + z - 2*z = -67, -v - 4*z = 31. Let l = v + 25. Suppose 69 = 2*j - 3*f, -2*j + l*f + 75 = -3*f. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 11) to base 16.\nAnswer: e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -11, -2\/7, 0.1 in descending order.\nAnswer: 2\/13, 0.1, -2\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (51\/((-8)\/((-320)\/60)))\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 415 (base 8) to base 12\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2 and -11\/400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(10\/9)\/g*g**(-20)\/g)**(-32) assuming g is positive.\nAnswer: g**(5728\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12958 is divided by 12933.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1025854 and -0.9?\nAnswer: 1025853.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 5, s: 3, a: 1, i: 8}. Give prob of picking 3 s and 1 i.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 5*o - 17260. Let y = o + -2654. List the prime factors of y.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d. Let t be x(7). Suppose l + t = 5*l. Calculate the smallest common multiple of l and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*b + 973, -4*b - 4*s + 1126 + 802 = 0. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaka when four letters picked without replacement from {a: 7, e: 1, s: 4, k: 5, h: 2, c: 1}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060265 is divided by 212023.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/11*(-44770)\/(-550)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(4) + sqrt(6) + (sqrt(96)\/sqrt(4))\/sqrt(4) + sqrt(6))\/(((sqrt(384) - sqrt(24)) + sqrt(24))\/sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -389 divided by -2\nAnswer: 389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -373047.391 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/48 and -45\/704.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337494 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + q - 8 = w, 0 = w - 4*q - 3. Let g(r) = -18*r - 6*r**3 + 0*r**3 + 3*r + 10*r. Let b(k) = -30*k**3 - 24*k. Determine w*b(v) + 24*g(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = y - 2*r, -3*y - 25 = -4*r + 23. Let i(l) = 14*l + 410. Let h be i(-29). Suppose 2*f - f + z = -11, h*f + 3*z = -43. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrxvu. What is prob of picking 1 u, 1 r, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4955576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:06 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - -166. Let f = p + -192. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 337*u - 700. Is v(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 13*x - 4. Let b be t(-6). Suppose 156 = b*a - 3*l, 3*l = 3*a - 4*a + 96. Let j = a + -50. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010010114432 + -1?\nAnswer: -1010010114433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 24c9aca?\nAnswer: -24c9ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35488954 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 409*q**2. Let b(h) = -290942*h. What is l(b(x))?\nAnswer: 34620724171876*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -315, -617, -1021, -1527?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 0. Let c be (-6)\/21 - 60\/k. Solve u - 13 = -2*h, -c*h = 2*u + u - 29 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 304 - 302. Solve 3*j = t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -11, -31, -65, -119, -199?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/970 and -5\/282.\nAnswer: 136770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -449*d**7\/14 - 689*d**3\/3 - 1555*d. What is the second derivative of y(p) wrt p?\nAnswer: -26940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*l - 1931 - 5726 = 0 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5225 and 1672?\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = -61*k + 105*k + 221*k + 2236 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 68 = 4*p, 3*p - 123 = 15*o - 20*o. Solve -4*t - o = -4*q, -3*q = -2*t - 4 - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13072067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 65759408 divided by 15422\nAnswer: 4264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -3 (c) 1\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 19. Let t = 109.528 + -94.53. Let d = t + c. What is d rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-48)\/42)*3*40\/30.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3663955500 to the nearest 1000000.\nAnswer: 3664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + a - 86, 5*f - 7*a + 3*a = -89. Let z = 39 - 27. Calculate the remainder when (f\/(-4))\/(5\/40) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/14)\/((-5)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen halves of a millisecond?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - -10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:31 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 25*l - 127. Let b be c(5). Suppose 0 = -2*z - 2*z - 64. Sort z, b, -3.\nAnswer: z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-15 - (-2 + 11 - -17)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-30) + (-453)\/(-90). Let r = -17\/3 + i. Let d = -23 + 33. What is the biggest value in r, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242211 is divided by 206966.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528, 1152, 2726, 5724, 10620, 17888, 28002?\nAnswer: 41436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88215801 is divided by 1018.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -997*w**4 + 770*w wrt w.\nAnswer: -11964*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 246 - 45 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsceb. Give prob of picking 1 t and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860878 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.05 - 0.75. Let l = -1.97 - -0.17. Let b = i + l. Sort 0.1, b, 2\/5 in descending order.\nAnswer: 2\/5, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2676 and 31?\nAnswer: -194.2956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3581*x + 8. Let m(y) = -608772*y - 1358. What is 4*m(g) + 679*p(g)?\nAnswer: -3589*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20267 - 20100. Calculate the remainder when 179 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157.2 + 157. Let f = 13 + -17. Let j = 4.4 + f. What is the closest to h in 0.3, -3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/4 - p**3 + 4*p + 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -54. Solve -2*l + 19 = 5*b, -b - 2*l + a*l - 1 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*b - 5957, -52*b = -49*b - 15. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 4*q - 2*q**5 + (-6*q**2 + 4*q**2 + 3*q**2)*(-213*q**2 + 213*q**2 + 30*q**3).\nAnswer: 28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 36*r - 275. Let i be x(8). Sort 3, -2, i, 2 in decreasing order.\nAnswer: i, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5, 7\/2, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 22*n**2 - 12*n - 41. Give x(-21).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/54)\/(-4*(-4)\/96).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -1 - -5 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002222 (base 3) in base 8?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 286, 558, 830, 1102?\n\"Answer: 272*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12.01. Let x = h + 0.41. What is the third smallest value in x, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 14*r**2 - 15*r. Let q(h) = 4*h - 9. Let z be q(6). Let o be w(z). Suppose o = s - 11. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (182\/104)\/((-2)\/(-8)). Suppose -k*y = -6*y - 2308. Suppose -308 + y = 5*w. Calculate the highest common factor of 40 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**8\/1680 + 2*v**7\/315 + v**6\/180 - v**5\/5 + v**4\/3 + 41*v. Let g(d) be the third derivative of a(d). Solve g(w) = 0 for w.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15637, 35883, 56127, 76369, 96609, 116847?\n\"Answer: -s**2 + 20249*s - 4611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*(-1 + -6*-1*1*sqrt(117))**2*-5.\nAnswer: -84260 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 359894457 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 203, 406, 609, 812, 1015, 1218?\n\"Answer: 203*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 0.26. Let o(j) = 2*j**2 + 7*j - 18. Let w be o(-5). Let s = -1\/54 - 209\/378. Sort w, s, v in descending order.\nAnswer: v, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2586908 and 716?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1\/202 (c) 2\/25 (d) 5 (e) 2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 5\/42*c**5 + 4\/21*c**3 + 0*c - 7*c**2 - 4\/21*c**4 + 0 + 1\/105*c**7 - 19\/420*c**6 - 1\/1176*c**8. Factor x(h).\nAnswer: -2*(h - 2)**2*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1423*d + 863*d + 759*d - 685*d + 466*d.\nAnswer: 2826*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) 14 (c) 20 (d) 0 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + 2 + sqrt(1900))*-1 + 1.\nAnswer: -10*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00955753 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2. Let x(h) = -56*h**2 + 18*h**2 + 17*h**2. Calculate c(x(k)).\nAnswer: -441*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 + 7*q + 9. Let i be x(-6). Suppose -64 - 16 = -5*g. Solve i*v + v + g = -p, 4*v + 5*p + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 751 - 663. Suppose -c*d + 82*d + 24 = 0. What is the closest to -4 in 3, 2, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 493.9 + -470. Let f = z - 24. Which is the smallest value? (a) f (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + 7 + -9 + (1 - 2) + -5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 15*s + 336. Suppose s = 5*r + 4*z, 5*z + 19 = -4*r + 45. Let q be 2\/(-1 - 7\/(-5)). Solve -q*j = r*b + 31, -4*j = j - 5*b - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410381189 and 1983?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((520\/(-48))\/13)\/(3*(-4)\/(-72))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 127 = 5*n + x, 0 = 2*n - 4*x - 60. Let p(b) = 3*b**2 - 26*b - 13. Let d be p(15). Calculate the highest common divisor of d and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6507672, 13015406, 19523140, 26030874, 32538608?\n\"Answer: 6507734*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*f + 30*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 381*n**2 + 191*n - 15. Let d be t(2). Calculate the highest common factor of 186 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13214, -13220, -13230, -13244?\n\"Answer: -2*w**2 - 13212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -696568, -1390342, -2084118, -2777896?\n\"Answer: -q**2 - 693771*q - 2796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 50 - 1220. Suppose -t = -11*u + 145. Calculate the lowest common multiple of 10 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, and 1 k when three letters picked without replacement from {l: 1, k: 1, u: 1, m: 2, w: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * -0.6\nAnswer: -0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4 = -6*i, 4*r - 4*i = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 13697 = 3*i + 13707, 129*i + 1270 = 4*x for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c - 23 = 4*u, -2*c - 25 = u. Which is greater: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15059?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 17849.\nAnswer: -53547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17382000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-3 + 2)) + 31 + -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -30, 11, 17, -4, 8 in descending order.\nAnswer: 17, 11, 8, -2, -4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/736 and 5\/26272716.\nAnswer: 210181728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -112.\nAnswer: -57\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2\/2 - 6*x - 247. What is c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 54*n = -36*n + 1906 + 158 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sqsssssssssss.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*p - 1965 - 8513 = 163*p. Sort 5, p, 1, 4.\nAnswer: p, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 35.84 and 10837.\nAnswer: 10872.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 5*n**3 + 0*n**2 + 2 + 0*n - 3\/2*n**4. What is the third derivative of x(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 98 - 97. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -9, 1, -21 in ascending order.\nAnswer: -21, -11, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10173, 9398, 8525, 7506, 6293, 4838, 3093?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-3*(-7)\/(-63))\/((-4)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geie. Give prob of sequence eie.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -0.04\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-980))\/(89\/12905)\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(245)*1) + 2)**2*4*-6.\nAnswer: -5160\/49 - 96*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101011010110101001 - -1?\nAnswer: 10000101011010110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - s - 3 = -2*h, 2*h + 3*s = -9. Suppose h = -2*q - q. Solve q = -v + 4*k - 20, 4*v - 7*k + 3*k + 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -173*m**7\/210 + 199*m**4\/12 + 40*m**2 - 1. What is the second derivative of b(w) wrt w?\nAnswer: -2076*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 108 = -37*q + 30*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46718 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(1 + 1 + 0) - 21 + 9 - 15)*(1 + 0 + 4)*(2*m**5 - 3*m**5 + 2*m**5).\nAnswer: -115*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54998 and 428.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283783 is divided by 4053?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c + 40. Let n be (-2)\/(-6) - c\/120. Let w(k) = -k**3 + 8*k**2 + 10*k - 10. Let x be w(9). What is the nearest to 0 in -3, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1563 + 531*v - 5*v**2 - 655*v + 1581. What is z(-25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -51. Let j = t + -14. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 + 45220*n**4 + 135646*n**3 - 226088*n**2 - 135647*n + 180868 = 0. What is n?\nAnswer: -45217, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/90*h**5 + 21*h**2 + 0*h + 1\/315*h**7 + 1\/180*h**6 - 1\/36*h**4 + 0*h**3 + 0. Factor z(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 341 + 23 = 0. Let w = 81 + -80.5. Which is the third smallest value? (a) w (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 15 + 25, 5*z = -w - 215. List the prime factors of 10\/2 - w - 5\/1.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 = 14. Suppose -f*x = -0*x - 25. Let t be ((-2)\/2)\/(x\/(-25)). Solve -2*v - 3*p - 2 = -p, 3*v - 5*p = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 - 638 = -3*o + h, 17*o = -3*h - 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13527710 to the nearest integer?\nAnswer: 3678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/139 - -2897\/1529. Let r(d) = -18*d**2 - 7*d. Let q be r(-8). Let v = 2241\/2 + q. What is the common denominator of v and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 + 1)) + -3 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8*t - 67835 = 0, 52*c - 47*c = 4*t + 112937. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*10\/(-600) - (-43)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 21*r**2 - 24*r + 36. What is the remainder when 4288 is divided by j(-20)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzgykzkkzzzyypppkx. What is prob of sequence pgpp?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*r - 3460, 5*r - 7 = -j + 703. Suppose 2*f - 3*q + 3543 = 7*f, 4*q = -f + j. What are the prime factors of f?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26913224 to the power of 1\/2, to the nearest integer?\nAnswer: 5188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1000100?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 19. Let d be p(12). Let w(m) = m - 5. Let o be w(d). Suppose -3*j + o*a + 232 = -2*a, 0 = 3*j - 3*a - 228. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(4 + 0 - 3)*(2*o - 6*o + 2*o + (-5 + 5 - 1)*(2*o - 4*o + o) + 420*o - 1774*o - 4808*o + 513*o) to the form x*o + y and give x.\nAnswer: -16950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 77*i. Let l(w) = 29303*w. Determine q(l(z)).\nAnswer: 2256331*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*q - 35 = -14, 3*s + 3*q + 27 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 8. Let g be s(0). Let z = 32 + -24. Suppose 2*q - z = -4. What is the greatest common divisor of q and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 10:45 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u**2 - 107*u + 48. Calculate o(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3801 times 98.412\nAnswer: -374064.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -74*i + 375. Let g be b(5). Which is smaller: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -41. Let i = 49 - p. Solve i*o - 5*g = 0, -2*g - g = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 - -110. Suppose -3*d = -6, -2*d - 129 = -r*j + d. What is the remainder when j is divided by (-66)\/(-4) - (-2)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -82, 4, 2, -12 in increasing order.\nAnswer: -82, -12, -5, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1188 + -373. List the prime factors of o.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 25*g**3\/6 - 6*g**2 - 14*g - 19. Let h(c) be the first derivative of q(c). Is h(3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.95 - -2.95686. Round s to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -226.\nAnswer: -133\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (9 - 7) + 7 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (16 - 10) + 798\/(-116) and (-28)\/(-182) + (-138)\/52.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7170 - -145b5?\nAnswer: 9445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 6 = -3*h, 189 = -58*j + 4*h + 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v - 2. Give u(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 2, k: 4, d: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27559, 110097, 247619, 440125?\n\"Answer: 27492*c**2 + 62*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 8, -2.21?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/((-1)\/(-6)). Let q = -6 + s. Does 14 divide q\/3 + 168\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -3\/5, 1\/14, -23, 2\/4809, -5?\nAnswer: 2\/4809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(592\/1998*(-45)\/20).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713692.\nAnswer: 2, 7, 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 51 = 2*l + 46, 5*o + l - 19 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/2)\/((-3)\/8). Let q be 1\/(-2)*g\/3. Let d = -12 + 16. Which is the biggest value? (a) -4 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2044 - 248 = -4*h. Let l = h - 261. Calculate the greatest common divisor of 39 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l + 7. Let n be y(9). Let x be (-12780)\/11 + 2\/n. Let p = 5038 - x. Round p to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2 + 18*k - 16 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0 + 0)*(0 + 2 - 1)*(-8 + 2 - 6).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - h**2 + 185*h**3 - h - 32*h**3 + 3 + 6*h**2 - 4*h**2 as p*h**2 + s + j*h + y*h**3 and give y.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 a, and 1 w when four letters picked without replacement from fdyfaydaayaadfwdaad.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from mbsbb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 87*q**2\/2 + 537*q\/2 - 627\/2.\nAnswer: 3*(q - 1)*(q + 11)*(q + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/14 or 0?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 206*k + 81. What is the remainder when 742 is divided by c(69)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*b + 66 = 2, -29 = 4*t - 5*b. Let h = t + 33. Does 10 divide 1104\/22 - 4\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4265555 days in weeks?\nAnswer: 0.0609365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55539 = -3330*v - 127162 - 23759 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-20 - -25 - (13 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*-0.3.\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3172*a**3*f**2 - a**3*f + 6*a**2*f**2 - 2*a**2*f - 24*a - f**2 - 43*f wrt f?\nAnswer: -6344*a**3 + 12*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:56 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 - -845.5016.\nAnswer: 847.6016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 248971196 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 84222*f**2 - 2659962370*f + 7980139778\/3.\nAnswer: -2*(f - 1)*(f + 63167)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 21 = 6*f - 165. Let y(h) = -1. Let n(g) = -g**2 + 1. Determine f*y(s) + n(s).\nAnswer: -s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-8\/3))\/i)\/i*i*i)\/i**(3\/14))**8 assuming i is positive.\nAnswer: i**(580\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*f - 18 = -2*p + 184*f, f = -4*p + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 8) in base 10?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -100201?\nAnswer: -100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4491320 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 14. Let t(y) be the first derivative of y + 0*y**3 + 1 + 0*y**4 + 0*y**c + 2\/5*y**5. Differentiate t(j) with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47668.\nAnswer: 2, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 10*m + 10. What is the tens digit of c(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 699 by 699.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 1 + 2*p**3 + 4*p + 0*p**3 + 0*p**3 in the form s + k*p**3 + u*p**2 + y*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/9 - 1309*k**3\/18 - 109*k**2\/2 - 11*k - 121. Factor d(q).\nAnswer: -(q + 327)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(121) - sqrt(121)*-2) - sqrt(121))\/sqrt(11).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37cc (base 15) to base 13\nAnswer: 554a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 2. Let g be z(4). Let c(k) = -11*k - 15*k + g*k. Let q(v) = -v. Determine c(q(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821532.\nAnswer: 2, 3, 223, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 4*v**2 - 3*v - 2. Let o be t(-2). Let h(n) = n**2 + n + 5. Let y be h(0). Suppose -13 = 4*c - y. Sort -1, o, c.\nAnswer: c, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -98400.3 (c) 2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 divided by 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 618 = -4*d. Suppose 0 = 3*h + 9, -2*i = -h + 6*h - d. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 2 (c) -1 (d) 0.2 (e) 515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 4. Let b(v) = -12*v. Let z(r) = -2*b(r) + 10*p(r). What are the prime factors of z(8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 - 173. Solve o + 2*o - 15 = 3*d, 0 = 4*o + d - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 221248, 442473, 663698?\n\"Answer: 221225*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/61190 and 15\/14.\nAnswer: 428330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -18.11, -2, 1, -3 in increasing order.\nAnswer: -18.11, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/12 - 2*b**3\/3 + 7*b. Calculate z(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 183*j - 177*j - 90. What is the greatest common divisor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, -1478, -3194, -4904, -6608?\nAnswer: -8306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 288726367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8414 divided by 6609\nAnswer: 8414\/6609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {e: 2, p: 4, d: 5, g: 7}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*o - 5 = 0, -5*o - 7 = 7*c - 3*c. Let d(r) = 16*r + 64. What is the remainder when d(c) is divided by ((-22)\/8)\/(2\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*l + 1181 - 407 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71088.75 micrograms in kilograms?\nAnswer: 0.00007108875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 4, -2\/23, -13, -18\/13, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 5) in base 9?\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1335604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1536161229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2351*r**2 + 2351*r**2 - 1458*r**3 + 497*r**3.\nAnswer: -961*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/8 - 93*w**4\/8 - 885*w**3\/8 - 1827*w**2\/8 + 837*w - 486 = 0. What is w?\nAnswer: -12, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - q + 9. Suppose 4*z + 5*h + 36 = -0*h, -4*z - 4*h - 32 = 0. What are the prime factors of l(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 9. Let h be b(3). Let q(m) = 5*m + 16 - 11*m**2 + m**h + 2*m**2 + 0*m**2 + 3*m**2 - 20. Calculate q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/145700 and -49\/200.\nAnswer: 291400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 25a?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7463?\nAnswer: 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - g - 6*g as w + v*g and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7846 at most as big as -20105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + o = 1589, 0*o - 5*o + 2005 = 5*w. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.9132727 rounded to 3 dps?\nAnswer: -18.913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 21*k + 40 = -8*b, 0 = 5*b - 2*k - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 35. Let t(h) be the third derivative of 0*h**3 + 0*h + 0*h**l + 1\/630*h**7 + 0 - 3*h**2 + 0*h**6 + 0*h**5. Factor t(c).\nAnswer: c**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2. Let f(u) = -36*u**2 + 15*u. Let s(v) = -5*v**2 + 2*v. Let n(l) = 2*f(l) - 15*s(l). Let j(q) = -5*i(q) - 8*n(q). Calculate j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 128, 291, 530, 851, 1260, 1763?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 7*j - 1. What is the units digit of a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4882.\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/128 + 14807015\/(-381842240).\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 + 13*y + 10. Let m be q(-7). Let x = -3050\/11 - m. Which is the second biggest value? (a) -3 (b) 5 (c) -0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1120, -53, 1\/4, -3, 0.3 in ascending order.\nAnswer: -53, -3, 1\/4, 0.3, 1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 32*y + 459. Let x = y - -958. What are the prime factors of x?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159*b**2 + 78*b**2 + 72*b**2 + (0*b - b - b)*(2*b + b - b - 3*b + 0*b + 4*b + (b - b + b)*(-5 + 4 + 3))*(-4 - 1 + 6).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {i: 6, p: 2, y: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5 + 3 - f + 1. Let j be v(7). Find the second derivative of -2*g + 0 + 0 + j*g**2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -2041330400?\nAnswer: -2041330340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**2*x**3 + 24*w**2*x + 2103524*w*x**5 + 29*w*x**2 + 867*x**2 wrt x.\nAnswer: -12*w**2 + 126211440*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25112 + -62?\nAnswer: -25174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -18. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 412019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 5, i: 2, j: 1, h: 7}. Give prob of sequence yjiz.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 5*h**3\/6 + 5*h**2\/2 - h. Let s(a) = a**3 + 8*a**2 + 9*a + 17. Let x be s(-7). What are the prime factors of o(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)\/(z\/z**(-2\/7)))**(-30)*(z**(2\/7)\/((z*z\/(z*(z\/(z\/(z*z\/(z*z**(-1))*z))*z)\/z)*z)\/z))\/(z**(2\/3)\/z*z*(z*z**(-2)*z*z)\/z) assuming z is positive.\nAnswer: z**(743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 8)*(1 + 0 + 1)*(1 - 1 - 2)*(165 + 10*y - 165).\nAnswer: -320*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/14 and (445\/10 + 6)\/(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -29. Let b = c + 43. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-32)*(-31240)\/(-10650).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1060 + -616. List the prime factors of c.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 - f + 6. Let m be b(6). Suppose -2*r + 0*r = m. Solve r = -2*u + 1 + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (0 + 0)\/(32 + -34). Solve -6*h + 13*h - u*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -368.816 - -370. Let f = 1.2 - w. Round f to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*2\/6)\/(-1)*1. Which is the closest to -21? (a) -4 (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 129\/24 + (-5)\/(-5). Let p be 6\/(-15) + 223\/(-40). Let y = p + x. What is the biggest value in y, 2\/7, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102101201 (base 3) to base 13.\nAnswer: c982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 3*v**2 - 6*v**2 + (-1 + 1 + 2)*(-333*v + 333*v + 23*v**2) + 7*v**2 - 34*v**2 + 14*v**2.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 - 1529\/7. Find the common denominator of (0 - 1)*(-618)\/60 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 14*l**2 + 9*l**2 + l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 7. Let j be y(7). Let g be 2 + (j\/(-3))\/(-1). Solve 10 - 2 = g*s, -2*w + 5*s = 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438652 take away -2148?\nAnswer: 440800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -641623.\nAnswer: 1924869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*g - 113*g - 5*g + 44*g)*(-4*g**2 + 2*g**3 + 4*g**2).\nAnswer: -438*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((((y*y**(-3\/4))\/y)\/y)\/y))**(1\/7) assuming y is positive.\nAnswer: y**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*-1*sqrt(3000))\/(5*sqrt(726)*-2*-1).\nAnswer: -10*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**7\/840 + v**6\/180 + 2*v**3\/3 - 2*v. Let q(d) be the second derivative of w(d). Find the third derivative of q(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296153877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/5*(-3)\/(-6). Calculate the greatest common divisor of 77 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w - 1. Suppose 4*u + 5*c + 116 = 0, 2*c + 20 = -3*c. Let t(a) = a**3 + 8*a**2 - 8*a - 8. What is u*o(g) + 3*t(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593295355 plus -5?\nAnswer: -1593295360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/36)\/((-55)\/66)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31091\/3756 - 1\/11268. Calculate the common denominator of 67\/16 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 146*t - 1482. Let l be m(-11). Let j(f) = -12*f - 1. Calculate j(l).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.001 - 172.999. Let j = i - -175. Which is the nearest to j? (a) 5\/4 (b) 1\/7 (c) -2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*h - 1566 = -12*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 1443*s**3 + 2760*s**3 + 0*s**2.\nAnswer: 4203*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1)\/(-3) + 12. Let n be 2*-2*9\/x. Let l = -1 - n. Solve l = -4*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c = -169*c - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -72. Which is the closest to 1? (a) 1\/3 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 79*n - 26. Let u be v(-3). Let t = u - -271. Calculate the lowest common multiple of 2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 12*i + 55. Determine l(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -37. Suppose 20*z - 32 = 16*z. Let a = z + -6. Calculate the remainder when i is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -64, -143, -254, -397?\n\"Answer: -16*q**2 + q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.9806 meters in micrometers?\nAnswer: 389980600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8818458 and 4.\nAnswer: -35273832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - w = 4*m - 16, w - 2 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/(-72) + (-3 - (-22)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20248477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) 0.8 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 48, 93, 156, 237, 336, 453?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -k + 13869. List the prime factors of k.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -6d3?\nAnswer: 6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99410.\nAnswer: 2, 5, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3 = 2*z, -384*k + 389*k + 2 = 3*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*s**6*v - s**4*v + 5*s**2*v + s**2 - 153*s*v + v wrt s.\nAnswer: -1680*s**3*v - 24*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1102\/(-203))\/(-12*(-14)\/(-1176)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1030583 or -1030579?\nAnswer: -1030583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 7. Let r be a(-5). Let v be (r\/(-6))\/(2\/6). Does 15 divide (-6)\/(-7)*v*35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 254 in 1\/6, -0.3, 0.256, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11586 + 11587. Let a(n) = -63*n + 68. What is a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - c**3 + 1 - 3*c**3 + 3*c**3. Let n(g) = 6*g**3 - 6*g**2 + 17*g - 13. Suppose i - 1 + 0 = 0. Let r(m) = i*n(m) + 5*k(m). Factor r(q).\nAnswer: (q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 15. Let c = 6 + x. Suppose c*u = 4 + 2. What is the least common multiple of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose 3*s = d + 67, -8*s = -p*s - 4*d - 76. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 12*v = -175 + 50 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*l + 20, -2*l = 2*l + 20. Which is bigger: -15\/58 or q?\nAnswer: -15\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 150 = -43*q. Let g = 36 - 28. Suppose 7 = 3*c - g. Calculate the remainder when c is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + 12*t**2 - 13*t**2 - 7701*t + 7701*t.\nAnswer: 7*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**4 + r - r + (-r**3 - r**3 + r**3)*(4*r + 2*r - 4*r))*(-917 + 1092 - 618)*(4 - 3 + 1) as h*r**2 + q + w*r**3 + m*r + y*r**4 and give y.\nAnswer: 2658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754*n**2 + 13*n**3 + 1754*n**2.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/378*173*3 and 75\/16?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 10 = 5*c, x + 575*c = 579*c + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-22 - (-29 + 14 + -20))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -509 bigger than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = -584999 - 299686. What is q rounded to the nearest one hundred?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*r = -157*r + 128 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 6) to base 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 5*j + 2*j)*(463*j + 244*j - 87*j - 86*j) in the form v*j**2 + w + y*j and give v.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**2 - 592*j + 58*j**2 - 916*j - 447*j + 74*j.\nAnswer: 3*j**2 - 1881*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1251 - -2193. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -54*f**5 - 27*f**4\/4 + 18*f**3 + 25*f**2\/4 + f\/2 = 0.\nAnswer: -1\/3, -1\/8, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*t + 9. Let c = 14 + t. Suppose 3*k = -k + c*i - 4, 5*k - 3*i + 2 = 0. Solve -10 = 3*d - m, k*d + 1 = -2*m - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 743 + -743. Solve -3*p + 19 - 7 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*r + 5*f, r - 14 = -2*r - 5*f. Find the third derivative of -17*a**5 - 12*a**2 + 26*a**2 - a**r + a - 6*a**5 + 21*a**2 wrt a.\nAnswer: -1380*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.85*-18.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/5 - 14*j**3\/5 - 9*j**2\/5 + 324*j\/5.\nAnswer: -j*(j - 4)*(j + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 3*f)*(51*f**2 - 6*f**4 - 51*f**2) + 0*f**3 - 2*f**5 + 0*f**3 + f**5 + f**5 + 0*f**5 + (-3 + 3 - 2*f**3)*(3*f**2 + 0*f**2 - 4*f**2).\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 28230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-21) + (-440)\/(-231). Solve -4 = g + 5*z, o*g - 2*z + 6 + 2 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093 = -42*d - 85 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 57. Give s(-21).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72199343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 9 - 68)*(-2*x**5 + 0*x**5 + 5*x**5).\nAnswer: -372*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 3*o**5\/20 - o**4\/3 + 2*o**3\/3 - 3*o**2\/2 + 45*o. Suppose 4*n - 5*y - 23 = 0, -2*n - 11 = 3*y + 2*y. Is f(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*q - 734 = -49, 3*w = q + 520. Calculate the remainder when w is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/1219114821?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 47*u + 102. Let m be r(2). Solve -3*d - 15*i + m = -17*i, -2*i - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3 + 204*w**2 + 2300*w + 2100 = 0. Calculate w.\nAnswer: -35, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8831433 micrometers in meters?\nAnswer: 0.0000008831433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 223*t**5\/20 + t**4\/4 + 15*t**2\/2 - 128*t. What is the third derivative of a(f) wrt f?\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 0.1141, -2, 2, 5, 3\/4?\nAnswer: 0.1141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z\/(z*z\/z**(3\/4)*z))\/z)*z)\/(z\/z**(-1\/2)*z))\/(z**(-2\/21)\/((z**2\/z)\/z))*(z*z**(2\/7))**(-15\/2)*z**(1\/6)\/z**(2\/7) assuming z is positive.\nAnswer: z**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 482, 1077, 1668, 2249, 2814?\n\"Answer: -c**3 + 4*c**2 + 590*c - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o - 5. Give s(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1388 * -0.4.\nAnswer: -555.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/120)\/(-2*(-18)\/16). Which is the nearest to 5\/4? (a) -2 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let g be p(11). What are the prime factors of -6*5\/g - -63?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 260*k.\nAnswer: -2*k*(k - 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**2 - 65*u**2 + 20*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y - 22. Suppose 2*a - 4*r = 82, -a + y*r = a - 84. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7695770, -15391545, -23087320?\n\"Answer: -7695775*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -61. Let i = d - 28.5. Put 34, 0, i in ascending order.\nAnswer: i, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 5 - 9 + 16 + 3*m + 2*m**3 - 3*m + (-2*m + 1 - 1)*(-2*m**2 + 4*m**2 - 3*m**2) + 1 - m**3 - 1 - 2*m**3 - 4*m + 4*m + m**2 - m**2 + 2*m**3.\nAnswer: 6*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2, 0, -1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*s + 5 = 21, 4*n = -3*s + 1. Let m be (-1 - n)*6 + -2. Suppose -m = -3*c + 14. Calculate the least common multiple of 10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from {x: 17, w: 1, i: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -119. Let z = 1414.3 + -1309. Let n = q - z. Round n to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 5*v**2 + v + 1. Let c be b(5). What is the tens digit of (4 + -8)*(2 - c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 = 2*f, 151*f - 153*f - 4*k = -12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - 12 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 13. Suppose 0 = 4*w - y, -2 = 5*m - 4*m - 2*w. Let a = -127\/13 - -356\/91. Calculate the common denominator of a and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-502931)\/7034*(-2)\/(-44)*-2)\/(2\/12)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500) + sqrt(500)*-3 + sqrt(500) + -2)*-1 - (1 + -3*((sqrt(500)*1 - sqrt(500)) + sqrt(500))*1))**2.\nAnswer: 240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4237424, 8474835, 12712240, 16949639, 21187032, 25424419, 29661800?\n\"Answer: -3*j**2 + 4237420*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 366. Let c = w + 300. What is the remainder when 78 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -103301 and -103301 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = -4*b - 2*x, -2*x + 6 = 3*b - 706. What is the least common multiple of b and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/27*26487\/(-9810).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5529 and 9.251.\nAnswer: 5538.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-96 - 1)*-2*22\/704 and 41\/2682.\nAnswer: 21456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, 34, -5, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20049728 to the power of 1\/2, to the nearest integer?\nAnswer: 4478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 = 3*f + 2*w, -3*w - 18 = -5*f. Calculate the least common multiple of 3 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.40106 - 13.4. What is i rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -641\/5 (b) 0.1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let p(w) = -w**2 + w + 127. Let h be p(0). Suppose -h = -5*i - 4*g, 5*g + 2 = 3*i - 52. Let k(c) = 37*c + 7*c - i*c. Give k(x(s)).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 111577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -703 + 703.085. Let f = u - 0.08203. Round f to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020576685 rounded to 6 dps?\nAnswer: -0.002058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i**3 + 30*i + 37*i**4 - 17*i**2 - 49*i**4 + 5*i**4 + 8*i**4 = 0. What is i?\nAnswer: -2, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 467*t**2 - 2 + 4*t - 1 - 469*t**2. Let b = -20 - -36. Suppose -5*o - 1 = -b. Determine q(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 4*u**2 - 2*u**2)*(3*u - 4*u - 4240*u**2 + 4225*u**2 + 9).\nAnswer: -30*u**4 - 2*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/2*(-28)\/(-98))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -j + 12, -54*j - 15 = -59*j - w. Solve -n = 5*t + 23, 9 = -3*n - j*t + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxj when three letters picked without replacement from {x: 2, d: 3, p: 4, j: 2, f: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opomoom. What is prob of sequence pmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f - 20. Let z = 2\/179 - 923\/2506. Let s = 6\/7 + z. Sort 0.4, s, f in increasing order.\nAnswer: 0.4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1620)*2 + sqrt(45) - (sqrt(45) + (0 + sqrt(45) + 5 - sqrt(45))))**2.\nAnswer: -360*sqrt(5) + 6504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from nsffvcsl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104178 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 2 + 2 + (1 - 15*b**2 + 28*b**2 - 18*b**2)*(7*b**3 - b**3 - 8*b**3) + 0*b**5 + 2*b**5 + 3*b**5.\nAnswer: 13*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.4 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t\/(t*(t*t*t**(-1\/4)\/t*t)\/t*t)))\/t*t)**35*(t**(1\/3)\/t*t)**14)\/(t**(-1)\/(t*t**(-3\/5)\/t))**19 assuming t is positive.\nAnswer: t**(4411\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57234 is divided by 7095?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/126*14*(-3)\/36?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {g: 1, n: 3, k: 3, x: 2, z: 3, a: 4}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 1. Let s(j) = -j**2 + 7*j + 11. Let b be s(8). Let k be (-15)\/6*(b + -45). Let g be k\/(-7)*((-12)\/(-9) - 1). Calculate m(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**3\/5 + 17484*a**2 - 30214272*a\/5 + 2642500608\/5 = 0 for a.\nAnswer: 176, 14218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 17 = -16. Let c be 0 + -192 + h + -3. Round c to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 27*f = 32*f + 95, -2*f = 2 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/12 + b**3\/2 + 5*b**2\/2 + 3*b. Let u = 7624 - 7629. Calculate x(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12)\/sqrt(4) - sqrt(12)*2.\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1620\/330 - -25 - 29.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 5*q + 8. Let p be d(-6). Suppose -12 = -4*t + 4*u, -3*u - p + 1 = t. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:31 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -690.09 and -579.9.\nAnswer: -1269.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -8 (b) -12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8426603, -16853402, -25280199, -33706994, -42133787, -50560578, -58987367?\nAnswer: -67414154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 87985.8077 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -115. What is the remainder when u is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4 - 16861*k**2*m + 17785*m with respect to k.\nAnswer: -4*k**3 - 33722*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 18*q**2 + 75*q + 54.\nAnswer: -3*(q - 9)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 - 183015448*d - 2093415887915044 = 0. Calculate d.\nAnswer: -22876931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 21*g + 15. Calculate the remainder when 131 is divided by q(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 4}. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 19. Differentiate 6 - 129*v + 129*v - q*v**2 with respect to v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.02, -0.591, 5, 0.1, -0.2, -0.07, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 8) to base 4\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1311 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.2 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j**2 + 8*j + 14. Let o be g(-2). Let d = o - 61. Solve 0 = 3*b + a - d + 1, -5*b + 18 = -3*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:07 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73545393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0132 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.99 + -1. Let j = -244.0476 - -244. Let u = 0.0524 - j. Which is the closest to u? (a) 4\/3 (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123\/(-18) - -7 - 41\/(-6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/2)*1\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:00 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 670\/133 + -96\/19. Let x = 125\/532 - f. Which is the nearest to x? (a) 1\/6 (b) 2\/3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.4 (c) 4\/9 (d) -0.2 (e) 2.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1378 + 7*n**3 + 2*n + 0*n**2 + n**2 + 1377 + n**4 as g*n**3 + m*n + r + b*n**4 + y*n**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -18, -12, 8, 48, 114, 212, 348?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:43 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2134\/3, 1271 in descending order.\nAnswer: 1271, -1\/3, -2134\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**5\/5 + 5*x**4\/2 - x**3\/6 - 171*x**2\/2 + 237*x. Find the second derivative of a(z) wrt z.\nAnswer: 24*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + sqrt(432)*3*5.\nAnswer: 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84 - -1?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -237, -2\/9 in decreasing order.\nAnswer: 1\/9, -2\/9, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1 (c) 1\/3 (d) -41 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1033818.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/240 - l**4\/6 + 5*l**3\/8 + 13*l**2\/2 + 22*l - 4. Let y(z) be the first derivative of x(z). Factor y(j).\nAnswer: (j - 15)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = 0, 2*o = 3*c + 82. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 23, 19, 1, -37?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/3406 and 77\/10?\nAnswer: 17030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 + 4.6. What is the biggest value in -7, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 7}. Give prob of sequence vv.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + j + 83605 = 0, -p - j = 2*p - 83609. Let v = -16386 + p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t**2)*(5*t - 101628 + 101628) + (t**2 + 0*t**2 + t**2)*(-3*t + 5*t - 3*t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 44.98. Which is the fourth biggest value? (a) -0.3 (b) n (c) -2\/7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144462161 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.262, 1 in descending order.\nAnswer: 1, 0.262, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10097021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11a385a (base 11) to base 13\nAnswer: -57c785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 45. Suppose 102*a - 5357 - 355 = 0. Calculate the remainder when a is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1497.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b01 + -1113?\nAnswer: 89dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-24)\/54)\/(6\/27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 20 = 13*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (188 + -169 + (14 - -2))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 109688 and 42?\nAnswer: 4606896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 divided by -82?\nAnswer: -1687\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/5 - 21*c**3\/5 + 4*c**2 = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q*q**(-5)*(q\/(q*q\/q**(2\/3)))**(-1\/28))\/((q**(-3\/7)\/q**0)\/((q**1\/q*q)\/q*q)**(-14)) assuming q is positive.\nAnswer: q**(-1307\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60 - -173?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -224005\nAnswer: 672015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -123 + -57422?\nAnswer: -57545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -78. Let g = 17 - x. Let n = 12 + g. Which is the third biggest value? (a) n (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 45*m**2 + 59*m - 3352. Give p(45).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 1, t: 2}. What is prob of sequence qtte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51929678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Find the first derivative of -2 + g*b**2 + 3 - 3 wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 112450?\nAnswer: 112452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:36 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 10}. What is prob of picking 2 c and 2 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13630851 and 48477.\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8867*o**2 - 4673*o**2 + 6658*o**2 + 20847*o**2 to the form m*o + n + q*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 20. Let m be f(-6). Sort -7, m, -5, 2 in decreasing order.\nAnswer: m, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 divided by -1?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-640*y**2 + 1324*y**2 - 608*y**2)*(0*y**2 + y**2 - 5*y**2).\nAnswer: -304*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 12, 0 = o + f + 288 - 852. Suppose 2*n + 5*j = 121, 5*n + 5*j - 54 = 256. Calculate the greatest common divisor of o and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 5, -1, 2, 3 in descending order.\nAnswer: 5, 3, 2, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39545, 39546, 39547, 39548?\nAnswer: 39549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0558 or -1?\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -74758723 greater than -74758721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5506 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 58*m**2 + m**3 + 9*m**2 - m**3 + 22*m**2.\nAnswer: -2*m**3 + 89*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*o = 74*o - 5368. Let v be (2*9\/(-84))\/(22\/o). Factor 0*c + 0 + v*c**3 + 0*c**2 + 3\/7*c**5 - 9\/7*c**4.\nAnswer: 3*c**3*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4062096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v + 15 + 44 + v**2 + 95. List the prime factors of x(-22).\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 19951 + q + 12*q - q**2 - 19865. Determine v(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 2*i - 4440 + 4440 - 4*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = b + 16, -5*v = -2*b - 2*v - 4. Solve 0 = j + 5*f - 11, -b*j - 3*f = -f + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*k - 5*k = 7, 5*f + 10 = 3*k. Let g = -115 + 115.4. What is the closest to f in 2, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234419622659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 22 = 2*w, 4*w - 22*c = -18*c - 12. Solve 0 = 3*h + 5*a + 7, -w*h - a + 4*a = 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -3*u, -3*v = -5*v - 4*u + 4. Suppose v*p - p = -38. What is the remainder when p is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 11*u**2 - u - 11. Let i be o(-11). Let y be 1 - 0 - 20\/((-100)\/10). Solve -z + 2 - y = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5339, 9817, 14281, 18725, 23143, 27529?\n\"Answer: -v**3 - v**2 + 4488*v + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 + 24*y**2 + 8*y. Let t(s) = -2*s**3 - 8*s**2 - 3*s. Let v(j) = 3*l(j) + 8*t(j). Factor v(k).\nAnswer: -k**2*(k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7509 and 1728?\nAnswer: 4325184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3950 and 1539710.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10 = r, -x - 3*r + 15 = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -19.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 0 + 0 + (-2*z + z + 0*z)*(-2*z**2 - 1 + 1) + 3*z**3 + 5 - 5 + (-z**2 - 2*z + 2*z)*(z + 0 + 0) - 3*z**3 + 4*z**3 + 2*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111101000110101011 (base 2) to base 3.\nAnswer: -101211101210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:48 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 2, -16, 4, 5 in increasing order.\nAnswer: -57, -16, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 2*o. Let w be y(-2). Suppose 3*m - 2*j - 2 = 10, m + 4*j - 4 = w. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f - 3*f + 2*f + 15. Let z be n(13). Suppose w + 2*r = -2*r + 32, -56 = -w + z*r. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1404 + 0.0404. Let s = 0.1 - -0.9. What is the nearest to s in 1\/3, c, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -182*t**2 - 1166*t - 454. What is c(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.70885*0.5\nAnswer: 0.354425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*2.434\nAnswer: 0.41378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + (2 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let o(p) be the third derivative of -1\/2*p**3 + 1\/20*p**5 + 0 - 21*p**2 + 0*p + 0*p**4. Calculate l(o(h)).\nAnswer: -9*h**4 + 18*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 37*z - 869044 = -11*z. What are the prime factors of z?\nAnswer: 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501513 (base 6) to base 5.\nAnswer: 2224120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*k**2 - 276*k**2 - 254*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d2ab (base 14) to base 10.\nAnswer: -151463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/9 - 456544*x\/9 + 1826240\/9.\nAnswer: -4*(x - 4)*(x + 114140)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 463*(-2)\/(-11) + (-4)\/22 and 15.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5693 - 5690. Factor -8\/5*g**i - 8\/5 + 8\/5*g + 6\/5*g**2 + 2\/5*g**4.\nAnswer: 2*(g - 2)**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -4112102511?\nAnswer: -4112102512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 635, 4, -1\/5, 0.33, -2 in increasing order.\nAnswer: -2, -1\/5, 0.33, 4, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20887690 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-1\/81)*(s*s**1)**33 assuming s is positive.\nAnswer: s**(5350\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80\/33 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-51))\/(16\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 69 - 69 - 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -h - 0*h - 167, 3*h + 72 = -2*m. Let c = m + 7. Let x(y) = -y**3 - 27*y**2 - 26*y + 28. What is the units digit of x(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1066061*i**3 + 2*i**2 + 392156*i.\nAnswer: 6396366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -7*r**2\/2 - 3367. Let g(t) = t**2 + 1. Let d = 1 + 0. Let s(p) = 12*p**2 + 9. Let o(w) = d*s(w) - 9*g(w). Give x(o(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2765 and 430945?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7908 or 9201?\nAnswer: 7908","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/12 + c**3\/2 - c**2 - c. Suppose -12 = -4*k - 0. Is m(k) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 less than or equal to 2.81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3382 and 534.\nAnswer: 10146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 8. Let t be h(-6). Let v be 6 + -1 + t + 3. Let p(f) = 1 - 2*f - 1 + v*f. Let u(x) = -4*x. Give p(u(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = 101*b - 45*b - 534831. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139, 590, 1429, 2728, 4559?\n\"Answer: 12*b**3 + 122*b**2 + b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 1013*p**3 - 35*p + 22*p.\nAnswer: -1013*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*(c*c**14)\/c*c*c**(-4) assuming c is positive.\nAnswer: c**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = -15. Suppose 0 = -x*a + 75 - 18. What is the highest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10284, 20332, 30382, 40434, 50488, 60544?\n\"Answer: p**2 + 10045*p + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d + 350*d - 9522 = -336*d + 209*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/11)\/l*(l\/((l**(2\/7)*l)\/l))\/l*l)\/(l**0*l*l**(-9)) assuming l is positive.\nAnswer: l**(601\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-10)\/15 - (-644)\/12)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -809 + 211410?\nAnswer: 210601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101731 + -3.\nAnswer: 101728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 - 2*q - 3. Let d(u) = u**2 - 3*u - 11. Let b(z) = -z**2 + 2*z + 7. Let x(r) = -8*b(r) - 5*d(r). Give -3*v(y) + 7*x(y).\nAnswer: 3*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.48 + -0.48. Which is bigger: -2\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 386220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08343937 and -71.\nAnswer: 5.92419527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(80)\/sqrt(648))\/sqrt(5)*-2.\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 8:27 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 19200 = -2*a. Round a to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -2436\/89, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/(-15) + -1 - -5. Suppose 0 = -4*d + 8, -8*i + 4*i + 3*d = 2. Which is the nearest to i? (a) -0.5 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 2*m. Let q be -20*(-3*1)\/6. Solve m*t = 2*t - q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4044*w + 4072*w + 2 - 765*w + 998*w - 658*w.\nAnswer: 7691*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i + 54. Let q be g(0). List the prime factors of q\/4 + (-8)\/(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.02 (b) -0.2 (c) -4 (d) 4.1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179586075.\nAnswer: 3, 5, 2394481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10673363 to the power of 1\/2, to the nearest integer?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5. Let z be g(0). Let t = z + -2. What is the tens digit of t\/(0 - (-3)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -81*f**2 + 54*f + 11. Let o(d) = -42*d**2 + 28*d + 6. Determine 4*g(k) - 7*o(k).\nAnswer: -30*k**2 + 20*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.28, 1.18, -3?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70.5 - 69. Let v = 18 + -16.6. Let r = v - o. Is r at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43660000 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 12:19 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 40 = 2*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:33 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*j - 10*j + 2*j)*(1 - 1 - 1) + (-10*j - 2*j - 8*j)*(-2 - 1 + 0) to h*j + c and give h.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37062 is divided by 18529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/3235 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*y + 8*y - 8*y to the form u + h*y and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 16. Let c be -3 + 7 - (3 + -9). Solve -4*r - 2*g = 28, -4*r + a*g = -2 + c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 130.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 4)*(-r**2 - 2 + 54*r + 0 - 65*r) as i*r + d + y*r**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 2. Suppose -2*o + 2*x + 14 = 0, -x = 5*o - 16 - 7. Let h be c(o). Suppose 105 = h*m - 4*m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2 + 20*z - 8. Let l be t(6). What is the highest common factor of 52 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -179812, -359458, -538966, -718330, -897544?\n\"Answer: r**3 + 63*r**2 - 179842*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 37*o. Let c(q) = -12*q**2 + 8. Let l(m) = 2*m**2 - 1. Let k(i) = -c(i) - 8*l(i). Calculate b(k(z)).\nAnswer: -148*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + -2 - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**2 - 3 - 154*v**2 + 2 + 3.\nAnswer: -173*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -13. What is the remainder when 4 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07644 - -0.92356. Which is the closest to 2? (a) z (b) -8 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.153865 kilograms?\nAnswer: 6153865000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616.8 + -20961394.\nAnswer: -20960777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 968 + 0*r + 997)*(-4*r**2 - 6*r**2 + 4*r**2).\nAnswer: -6*r**3 - 174*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 2\/5, -61, -5, -2\/39?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/11 + 6 + (-469)\/(-67).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9513088381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4656000 rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j. Suppose 0*k + 3*k - 11 = 5*r, -16 = r + 4*k. Let w be -3*r\/(-24)*2. Determine u(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2623 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**2 + 1381*b + 1062. Determine c(107).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33674\/149*((-4)\/14)\/((-48)\/(-84)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(3 - -1) - 69\/184 and -47\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voeofvzeffofovzzvev. What is prob of sequence fof?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2050 = o. Let q = -413 - o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 4609, 15992, 38263, 75052?\nAnswer: 129989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*f**2 + 16*f**2 + 4*f**2 - 43*f**2 - 8 - 59*f**3 in the form i*f**2 + v + r*f**3 + l*f and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-20232)\/(-1124)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10 - 4*q**3 + 16*q**2 + 0*q + q**3 + 2*q**3 - 27*q. Let u be d(14). Solve o - 8 = -4*r, 0 = 3*o + u*r - 8 - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = l - 6*l. Suppose 20 = 5*v, -5*j + 40 = -j - 5*v. Calculate the highest common factor of l and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from bbbbbbbybyby.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2 - 50324*b + 3431280 = 0.\nAnswer: -25230, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 2 m when four letters picked without replacement from ynmmuhhu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3758 and -37972.\nAnswer: 142698776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*r - 12, 0 = -52*b + 57*b + 5*r - 30. Solve -b*u - 3 = 3*m, 2*m - u - 18 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from {z: 2, h: 2, a: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 divided by 24?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2\/7, 9 in ascending order.\nAnswer: -25, 2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -81*h**2. Let g(r) be the first derivative of 0*r + 1\/2*r**2 + 8. Give g(n(c)).\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.6 - -67.9. Which is the fourth smallest value? (a) 2\/3 (b) 0.05 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25905443, -25905444, -25905445?\n\"Answer: -p - 25905442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 153 - 164 = 492 + 799 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 2020188*y - 510144944418.\nAnswer: -2*(y + 505047)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34455\/(-9))\/(3*((-365)\/90 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(2\/2). Suppose 4*n = -5*y + 685, -645 = -5*y - f*n + 4*n. What is the greatest common divisor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t - 662. Let n be 45\/6*440\/15. Let l = n - 145. What is the remainder when l is divided by r(53)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -34*u + 388. Solve -u*g + 9*g = 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 4, -41.\nAnswer: -41, -1\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 42 = -4*j, -3*j - 2*j - 30 = -4*k. Calculate the remainder when 38 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 9*l + 13. Let k be x(9). Let g be k - (3 + -2 - 3). Solve 6*a = 3*a - 3*j - g, -3*a - 2*j = 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278 - 481. Let j = g - -294. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/((-675)\/(-2700))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 2*x. Suppose -x*l + 108 = 4*l. Suppose 5 = -5*f, -f = -q + 2*f + 37. Calculate the least common multiple of l and q.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, e: 1, w: 6, x: 2, r: 1, t: 1}. What is prob of sequence et?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 346 - 71 = 3*x, 7*x - 3*p = 9534 - 8951 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-828)\/(-780))*(-72)\/(-60)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 2*x. Let d be (1\/(-4))\/((-1)\/(-4)) - 4. Sort d, x, -1 in increasing order.\nAnswer: d, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -104650.\nAnswer: -1\/104650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175457?\nAnswer: 557, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.8? (a) 7 (b) 1\/6 (c) 5125 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7350 - 7350 - 12930*p + 12965*p.\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 0.44. Suppose -3*d - 5 = -2*d. What is the second biggest value in d, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 - 734\/3. Let o = 2.692 - 0.092. Let f = 2 - 1. What is the second biggest value in b, o, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-22)\/(-10))\/(3\/(-225)). Let c = -48 + o. What is the highest common factor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22121 + -22116. Let y(c) = -8*c + 5. Let j(m) = 15*m - 9. Calculate i*y(o) + 3*j(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 368, 1598, -31 in descending order.\nAnswer: 1598, 368, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 - 1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 5*g + 5. Let t be k(5). Let n be 15\/t + -1 + 0. Suppose -5*h + 57 = -n*h. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(525\/30)*-1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2. Let u(p) be the first derivative of -41*p**3\/3 - 3*p - 1006. Give z(u(w)).\nAnswer: 6724*w**4 + 984*w**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 16*k + 63. What is m(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 0, -2*v = -2*a - 3*a - 35. Let d be (-10)\/v - (-82)\/3. Calculate the greatest common divisor of 108 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-2 + 3\/6). Let r(s) = s**3 - 5*s**2 - 5*s - 5. Let u be r(p). Let j be 2 + (0 - (-22 - u)). What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/(-6) + (21 - 23))*-3291 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 268 = 58. What is the biggest value in -2, 2\/3, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2443 + 17?\nAnswer: 245a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*f + 893 = -3242 - 1563 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9402383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v. Let b(u) be the second derivative of 7*u**3\/6 - 3*u - 2. Determine b(h(t)).\nAnswer: 91*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1868*s + 922*s + 889*s)*(-1 + 2*s + 1) in the form c + b*s**2 + n*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-8)\/248)\/(7\/28*18).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637110 rounded to the nearest ten thousand?\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 142421102 (base 5) to base 15\nAnswer: ebaa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 928?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/6)\/u)*u)\/u**(-2\/15))\/(u\/(u\/(((u\/u**(1\/3))\/u)\/u))*u\/u**(-3\/2)*u*u) assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - 79. Let v = -136.8 - l. Which is the third smallest value? (a) -24 (b) v (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 2, f: 1, t: 2, c: 1, q: 10}. What is prob of sequence qo?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 95 = 3*h. What is the remainder when 73 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2351 bigger than -2470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-141 - 37) + 79.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 5, -189, 60, -17 in increasing order.\nAnswer: -189, -17, -5, -4, -2, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -2\/15 (c) 2\/5 (d) -3\/4931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -32. Suppose 10 = -3*z + 40. Suppose -5*a = -y*a - z. Solve 0 = 3*f + 5 - a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7037\/(-908))\/(1\/4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1\/9, 76.9, 0.4, -1, 0.\nAnswer: -1, -1\/9, 0, 0.4, 47, 76.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2879 - -510. Suppose 0 = -2*n + g + 1353, n + 4*g = -4*n + u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2979\/10 or -6\/125?\nAnswer: -2979\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from {h: 5, e: 1, z: 3, g: 3, q: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/5 + (1 + 0)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14623.\nAnswer: 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-382)\/(-18) + (-2)\/9. Let a be (3\/2)\/((-108)\/828)*-2. Suppose 17*w - 4*w**2 + a*w + c*w - 65*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18847 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 4*y + 2*y**3 - y**3 - 7*y**2 + 3*y. Suppose -a + 2 = -q + 3, q + 4*a - 16 = 0. Give t(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 15*b**2 - 3*b + 1. Let c be r(1). Solve -13 = -c*f - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2694463 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153*j - 494*j + 6390 + 3570*j wrt j.\nAnswer: 2923","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 1050, 3, -5 in increasing order.\nAnswer: -5, -2, 0.5, 3, 1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - j = 0, -5*j = 5*n + 8 - 38. Let h = -186 - -191. What is the remainder when h is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*x, 4*x - 4*l = -0*l - 4. Suppose 4*o - 31 - 61 = 0. What is the remainder when (-2)\/x*-6 + 86 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526511128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -112 (c) 5 (d) 22\/3 (e) 0.5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + x = 5*x + 72 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjffnfffjjfn. What is prob of picking 1 j and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2285 + -2285.0004804. What is o rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*v + 522*v + 498*v - 1482*v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**6\/15 + 3*t**5\/5 + 13*t**4\/6 + 4*t**3 + 4*t**2 - 3*t. Determine a so that q(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(24)\/sqrt(4)))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m. What is b(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**3*g - 8*c**3 + 23*c**2*g**2 - c**2*g + 2*c*g**2 - 900*c*g - 6 wrt c.\nAnswer: -30*c*g - 48*c + 46*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:45 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + (1 - 710\/(-50)). Solve 8\/3*s**2 + 4\/15 + 26\/15*s + r*s**3 = 0 for s.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2433608 and 42800?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 428\/9, 2\/9, -1\/9, 2 in increasing order.\nAnswer: -1\/4, -1\/9, 2\/9, 2, 428\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61\/14 - 1553\/350. Suppose 5*w + 4*r = 34, -4*w + 0 = -4*r - 56. Suppose b + 5 = 4*y + w, 4*y + 3*b = 15. Is y greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -991, 181, 3, -3, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1593 - -1594.8. Which is the fourth smallest value? (a) -0.3 (b) h (c) 1\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261*b**3*z**3 + 25*b**3 - b**2*z**2 + b*z wrt z?\nAnswer: 1566*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 3*s)*(2 - 10 + 3 + 7*s).\nAnswer: -7*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/7 (b) -0.2 (c) 13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z. Let x(f) be the second derivative of -f**7\/1260 + 7*f**4\/6 + 18*f. Let i(o) be the third derivative of x(o). Determine a(i(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055577807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + -1*sqrt(76))**2 + 2 + (-2*sqrt(190))\/sqrt(10).\nAnswer: -2*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551536?\nAnswer: 2, 34471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344\/15 - (-1321)\/19815?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(8*(-9)\/(-480))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(130)*2*2 - sqrt(130)) + sqrt(130))\/(-2*sqrt(160)) - (-2 + sqrt(208) + sqrt(1300) + -1)).\nAnswer: -12 + 58*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 2. Let d be o(-8). Which is the second biggest value? (a) -0.4 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229320606183 less than -218?\nAnswer: -229320606401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -q + 7, -h = -2*h + q - 2. Let m(s) = 20*s**3 - 2*s + 1. Is 4 a factor of m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -43424.\nAnswer: -3\/43424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/((-133)\/(-182)) + -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 >= -10397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))\/a)**(-49)*a*a**8*a**(-4\/3) assuming a is positive.\nAnswer: a**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/16 and 0 + ((-770)\/12)\/(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 11. Give p(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1128.02 to the nearest integer.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 times 296356\nAnswer: -10372460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008406895 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 2 j when four letters picked without replacement from {j: 4, i: 3, y: 8, a: 1, w: 3}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*n = 2403, -3*h + 4*n = -n - 1464. List the prime factors of h.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -4, -2, 9 in descending order.\nAnswer: 9, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 - 6\/2. Suppose 0 = -v*w + 8*w + 200. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 57\/2*b**2 + 0 + 16\/3*b**3 + 76*b. What is the derivative of k(w) wrt w?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.059 + 0.054. Let j = -0.295 + w. What is the smallest value in 2\/7, 5\/4, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 67438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 122 = -131. Let w be (0 - (-5 + 0))\/(t\/(-9)). Let d = w + 5. Calculate the remainder when 57 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 290, -483, 36 in decreasing order.\nAnswer: 290, 36, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4171 - -4172. Do t and -3\/110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 12*i + 12. What is g(10)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2)*b**(2\/11)*(b\/b**(2\/3))**(5\/3)*((b\/b**(2\/9))**24)**(13\/5) assuming b is positive.\nAnswer: b**(23894\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 8. Let g = -3.5 - z. Let n = 2676.9 + -2677. What is the nearest to n in g, 2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 1, l: 1, z: 7}. Give prob of sequence euz.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239 - -443. Let d = r - 5. Is d a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278520 is divided by 794?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 6*l**2 - 2*l**2 - 4*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(-3)\/((-9)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 35, 50?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000120840936 rounded to 7 dps?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + (1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*a + 2664 = 7734, 0 = a + 7. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6 + 2*l + 6. Let u(a) = 104*a + 1256. Let i(t) = 6*t + 71. Let b(h) = 35*i(h) - 2*u(h). Give v(b(x)).\nAnswer: 4*x - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = -2*i, -4*o = -3*i + 2*i + 5. Let n = -0.0343 - 17.9657. What is the third smallest value in -0.2, -2\/11, i, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357\/10 - -75\/2. Let p = -4.2 + 4. Let f = -1005 + 1000. Sort v, -0.3, p, f in decreasing order.\nAnswer: v, p, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -160*w**2 - 1136*w**2 - 4005*w**2 + 1. Suppose -m + 17 = -3*m - 3*j, -3*m = j + 8. Let p be d(m). Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 113*k**2 - 1. Is 19 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/((-28)\/70). Suppose -10 + 2 = -p*k. Calculate the lowest common multiple of (18\/(-5))\/((-2)\/10) and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a + 2\/3*a**3 - 8*a**2 + 5 + 1\/12*a**4. Let d be 0 + ((-2)\/(-2) - 10). Let g(o) = o + 2. Calculate d*g(m) + 4*y(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476928 and 715392?\nAnswer: 1430784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from mpauaamapauammaa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q**2 - 435*q - 26. Is d(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -197, -602, -1367, -2606, -4433, -6962?\nAnswer: -10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*p - 56 = 0, -9079*z - 6*p = -9075*z - 74 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((161\/(-113988))\/(2\/18)).\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42952 (base 10) in base 6?\nAnswer: 530504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44\/3 - 13. What is the closest to 0 in -0.3, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139131491 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t + t. Let i(j) = -j - 6. Let x be i(t). Solve x = -v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/12*(-19)\/(-57)*72\/(-48)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065246826 rounded to six decimal places?\nAnswer: 0.006525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = 42*g - 103*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4741 = -5*n - 12185, -2*b + 8454 = -4*n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -43. Solve 4*c + l = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 9216\/240 + 4\/(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 1005121?\nAnswer: 1005145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12094 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h - 5*w + 35 = 0, -5*w = -h - 27. Let n be (27\/h)\/((-9)\/(-54)). Let g = n + 91. What is the smallest common multiple of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 - -0.04. Let s(a) = 225*a + 1121. Let k be s(-5). Sort 5, w, 8, k in descending order.\nAnswer: 8, 5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18047311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/3 - 206*w\/3 + 120904 = 0. What is w?\nAnswer: -714, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1573\/9438)\/((-3)\/(-2 - 43))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - p**3 + 2 - 53*p + 53*p.\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419909919?\nAnswer: 3, 11, 13, 23, 42557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*1.9661691\nAnswer: -1.9661691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26769 by -6477.\nAnswer: -8923\/2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o**2 - 477*o + 54. Determine t(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 55*c - 333. Let w be i(6). Solve -16*d = 7*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57995.\nAnswer: 5, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1. Let q = 13 - 18. Let a(b) = -b - 1. Let j(p) = q*a(p) - 4*t(p). Differentiate j(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20759\/3 - 6919. Let c(u) be the second derivative of 0 - u**2 + o*u**3 - 13*u. Let g(b) = 5*b - 3. Determine -4*c(a) + 3*g(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1375 + -132?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a factor of 143117553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 261.75, -270, 3?\nAnswer: 261.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/107513 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by -17.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0169642108 rounded to 5 decimal places?\nAnswer: 0.01696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 - 21*a + 3. Let p be s(11). Suppose -5*v = 2*b - p - 29, -459 = -3*b + 3*v. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1566*i - 1565*i - 596. What are the prime factors of i?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -23. Suppose 5*n = y - d, 5*y - 12 = 4*y + 3*n. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 5*y**4\/2 + y**2\/2 - y + 5. Calculate the remainder when w(1) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 32, 17, -49 in ascending order.\nAnswer: -121, -49, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-1*(-3 + -1 + sqrt(320)) - ((sqrt(720) + sqrt(720) + (sqrt(720) - sqrt(720)*1))*5 + 1)))*2)**2.\nAnswer: -1024*sqrt(5) + 327684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, h: 11, q: 1, n: 1, w: 1, e: 2}. What is prob of picking 1 n, 1 w, 1 f, and 1 h?\nAnswer: 44\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-18)*44\/(-8)*(-895)\/9845.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5*m**4\/24 - 17*m**3\/3 + 12*m**2. Let i be p(18). Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 1 - 5. List the prime factors of -42*(0 - 1) + v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4, 2*p - 7*p + 4*o = 4. Suppose p = 4*g - 2*f + 30, -5*g - 43 = -4*f - 1. Let n(j) = -j**2 - 6*j - 6. Calculate n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-18)*b)\/b)\/b**17 assuming b is positive.\nAnswer: b**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*h - 3 - 293*h + 9*h - 396*h - 152*h + 2*h - 1 + 1 + (1 - 1 - 2)*(0*h + 3*h - 4*h) - h + 5*h - 5*h.\nAnswer: -831*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 53*a**2 - 7*a + 7. Let w(u) = -26*u**2 + 3*u - 3. Let i(v) = -3*b(v) - 7*w(v). Let y(s) = -5*s**2. Calculate i(y(d)).\nAnswer: 575*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 223364?\nAnswer: 223400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283514774?\nAnswer: 2, 313, 353, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 15673368.\nAnswer: 78366840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7274\/595 greater than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 17. List the prime factors of c(11).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwqp when four letters picked without replacement from {p: 6, q: 3, w: 8}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96397.43mm in kilometers?\nAnswer: 0.09639743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a factor of 1429085110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1513, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23264559 - 15813194. Let g = -39077668.000155 - d. Let i = 85 - g. Round i to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2128 = -2622. What is u rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 1. Let c be y(0). Suppose -2*m = -r - 371, 3 = 4*r - c. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*m + 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, v: 10}. Give prob of picking 3 v.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + 9. Let t = 32 - m. What is the nearest to t in -2\/5, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -346976.\nAnswer: -173488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835565 is divided by 275972.\nAnswer: 7649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v. Let h(q) = q. Let o(m) = -a(m) + 6*h(m). Is o(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 4*s - 16. Suppose -5*v + 1 = -s. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 538 and 416681?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i - 9. List the prime factors of r(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 9*s**2 + 14*s**4 - s**3 - 3*s - 8*s**4 - 3*s**4.\nAnswer: (s - 2)*(s + 1)**2*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.529386517 and 1.\nAnswer: -0.529386517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37275 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + 10. Let v be (n\/(-4))\/(4\/(-40)). Suppose -3*g + v = 7. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0*b**3 + 0*b + 0 - 3*b**2 - 1\/4*b**5 - 1\/8*b**4. Find the second derivative of p(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 2\/9, 4, 0, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*4\/112*(-9576)\/(-144)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 95?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 2*j**2 - j**2)*(-2*j + 1 - 1)*((2 + 2 - 2)*(4*j - 3*j - 2*j) - 7*j + 0*j + 3*j).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -439, -962, -1721, -2710, -3923, -5354?\nAnswer: -6997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 328. Let t(c) = 12*c - 1648. Determine 2*t(z) + 11*w(z).\nAnswer: 2*z + 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032 = -2*r - 2*r. Let v = r - -413. Suppose -3*u - b + v = b, 3*b + 218 = 4*u. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.153 + -0.0874.\nAnswer: -0.2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-14) - ((-2635)\/476 - -4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21676626 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465858 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3 + 1 + 11*d - 42*d - 6*d**3 - 12*d**3 wrt d?\nAnswer: -84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -328 (c) 5\/3 (d) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 1. Let v be b(1). Let j(a) be the third derivative of -a**6\/120 + a**5\/60 + a**3\/2 - 6*a**2. Give j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11924\/579 - 14\/193. Let s = -21 - h. Which is the second biggest value? (a) 5 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q - 4, 6 = -2*d + 2*q. Let u = -181 - -189. Put -1, 0.2, u, d in ascending order.\nAnswer: -1, 0.2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -2*sqrt(475))*5 + 1 + (-6*(-1 + sqrt(475) + sqrt(475) - sqrt(475)) - sqrt(475)) + sqrt(475) + sqrt(475) + -5 + 1 + sqrt(475))**2.\nAnswer: -26520*sqrt(19) + 555184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-470)\/175 - (-4)\/14. Let j be -3 - 1 - (10\/5 + -5). What is the nearest to 0.1 in j, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167117777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1032 and 624.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 = -4*c, -4*p - 7 = 2*c + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1445322470 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63954 is divided by 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - -4) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 - 3. Let d = -13 + 13.46. Let x = d - 0.36. What is the closest to 0.1 in x, -0.1, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 2 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 265147325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - (-3 - 3). Solve -s*m + 5 = -11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = i - 5*s, -2*i + 6*i + s - 365 = 0. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2835.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -325622*h + 325626*h + 3*l + 67, 0 = -6*h + 2*l + 36 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - (2*sqrt(133) - sqrt(133))*-3))\/(sqrt(7) - sqrt(175)*-2).\nAnswer: -3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 10. Suppose 18 = 3*a + 4*x, 0*a - x = -a + 6. Let f be t(a). Suppose 4*p - f = 82. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74318.9766 + 74255. Let f = g + 64. Round f to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:14 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51285 and 194.\nAnswer: 9949290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854313709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let m(c) = 8361119*c - 57698. Let p(n) = -1739*n + 12. Let z(h) = 6*m(h) + 28849*p(h). Determine z(r(f)).\nAnswer: -3394*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1217 - 13.617\nAnswer: -13.7387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24 - -4)\/(0 - 1). Suppose -3*o - 14 = 4*m - 5*m, -4*o = 16. Let t be (-4)\/(8 - 4) + m. Solve 24 = 5*h - t, 0 = -5*x + 2*h - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*o = 2*o + 3, -3*v = 3*o - 12. What is the lowest common multiple of 11 and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19656 + -19929. Which is smaller: z or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -765 less than -44289\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:37 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/13 + 4*l**3\/13 - 2*l**2\/13 - 4*l\/13.\nAnswer: 2*l*(l - 1)*(l + 1)*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 36 + 0*w + 0*w - 2*w + 7*w. Let r(j) = -1. Determine -6*r(n) - t(n).\nAnswer: 2*n - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 20308.\nAnswer: -1\/5077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 2501*d - 7513. What is f(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1819.21 * 0.8.\nAnswer: 1455.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2501712822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19369\/20 - 4841\/5. Let i(w) be the first derivative of -1\/2*w**2 - 22 + l*w**4 + 2*w - 1\/3*w**3. Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110338260 by 6.\nAnswer: 18389710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**7\/1470 - x**6\/105 - x**5\/28 + 9*x**4\/28 + 548*x**2. Factor b(v).\nAnswer: v*(v - 9)*(v - 2)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88728.\nAnswer: 2, 3, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*o)*(-3*o + 2*o + 0*o) + (10 + 7*o - 10)*(74*o + 98*o - 142*o) to the form g*o**2 + s + p*o and give g.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**2 - 41*n - 171. What is f(-9)?\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*o + 33. Let g(r) be the third derivative of 0*r + 3*r**2 + 0*r**4 + 0*r**6 + 1\/60*r**5 + 0 - 1\/210*r**o + 0*r**3. Factor g(s).\nAnswer: -s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Let z(n) = 288*n**2 - 283*n**2 + 0*n + 0*n. Give z(p(b)).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/63 and -55\/26199?\nAnswer: 183393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 2261676?\nAnswer: 24878436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 1992568?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - b**2 - 5*b - 3 + 2*b**2 - b**3. List the prime factors of r(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 197*f**2 + f + 1. Let i be u(-1). Suppose -3*v + 2*y + 136 = 10, 5*v + y = i. Let r = v - 30. What is the highest common factor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g - 14. Does 7 divide i(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 2 n when four letters picked without replacement from {e: 2, i: 1, t: 4, k: 1, n: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/500)\/((-33)\/(1716\/(-26))).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.3011 years in decades?\nAnswer: 7.93011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c1 (base 13) in base 3?\nAnswer: 1121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*d = 4*y - 22, 4*d - 13 = -3*y. Let z(p) = 11 + 10 - 14 - 2*p. Calculate z(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -z + 8, 149*x = 153*x - 3*z - 24 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3961*s**3 + 3955*s**3 - 1 + 4001*s**3 + 1 - 11916*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-3 - 1) - (-8 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 12. Suppose 15 = -n - j*n. Let x(h) = -3*h - 4. What is the units digit of x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 2*g + 9. Let p be k(4). Let x = 20 + p. Suppose 2*q + 1 = x. Solve 0 = 2*d + 5*y, q*d + 4*y = -0*d + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 15*n + 39. Let t be h(-9). Let c = t + 21. Calculate the remainder when 76 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -79, -3, 44, 71 in descending order.\nAnswer: 71, 44, -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -47911150\/11 at most as big as -4355559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from bibic.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.1607?\nAnswer: -0.03214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1852 + -1596.2. Let q = w - 170. Let p = 76 - q. What is p rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530418080?\nAnswer: 2, 3, 5, 19, 167809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 19*w + o + 469, -o = -4*w - 1886. Let l = w - -1414\/3. Factor -1 + 4\/3*h - l*h**2.\nAnswer: -(h - 3)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 16 = -3*b - 6, 4*n - b = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + p = -68598, -72943 = -4*s - 2*p - 4339. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 4, -5, 1 in increasing order.\nAnswer: -5, -2, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 43264755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111441753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 + 41*y + 72. Let g be l(-2). Solve -4*u = -5*w + 26 - 0, 5*u = -w - g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 10:34 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 270, 281, 306, 351, 422, 525, 666?\n\"Answer: g**3 + g**2 + g + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8*k**2 - 9*k + 2. Calculate the remainder when x(6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(4*sqrt(63))**2 + (((sqrt(448) + (sqrt(448) - (0 + sqrt(448))) + sqrt(448))**2 - sqrt(448))*-1 - (0 + sqrt(448) + -2)**2).\nAnswer: 40*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8233356 by 5188.\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.8229ug to tonnes.\nAnswer: 0.0000000003008229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178922.\nAnswer: 2, 137, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 19. Suppose -84 = -f*h + h. Let p(o) = o - 6. Let g be p(9). Calculate the greatest common factor of g and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + 2*z**3 - z - z + 6*z**2 + 3*z as w*z**2 + n*z**3 + c*z + u*z**4 + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -45. Suppose 62 - 14 = 3*n. What is the highest common factor of q and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**8\/2184 - 2*a**7\/195 - 19*a**6\/390 + 16*a**5\/195 + 37*a**4\/52 - 30*a**3\/13 - a**2 - 58*a. Solve k(j) = 0 for j.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**4 - 12*s**3 - 21*s**2 + 66*s + 72 = 0.\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/9, -15, -0.5, 2024?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 428325?\nAnswer: 3854925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -711588.4.\nAnswer: 711588.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 p when three letters picked without replacement from fzzqffpvfvvzv.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34912257, 69824517, 104736777, 139649037, 174561297?\n\"Answer: 34912260*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 11*s + 43. Let k be 1\/(2 - s\/(-5)). Find the second derivative of -31*u**5 + 4*u**k - 12*u + 12*u + 16*u wrt u.\nAnswer: -540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580236876 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2535 and 0.83?\nAnswer: 2535.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1 (b) 10356.9 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 29580?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**2 + 0 - 2*p - 1\/20*p**5 - 1\/6*p**3 + 1\/3*p**4. What is the smallest common multiple of x(3) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l - 32. Does 9 divide g(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 5*b**7\/21 - b**6\/120 - b**5\/10 + 13*b**4\/24 - 25*b**3\/6 - 410*b**2 + 2. What is the second derivative of i(r) wrt r?\nAnswer: 600*r**2 - 6*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22801\/7 - 3249. Find the common denominator of q and -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5*3\/((-75)\/10)*-423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1615860.787 to the nearest 10000.\nAnswer: 1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/32)\/(1\/(-6)). Put h, 0, -5 in ascending order.\nAnswer: -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 13*l**2 - 13*l - 12. Let x be d(-12). Suppose x = r - 3, r - 95 = -4*p - 0*r. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27)\/((-60)\/(-36)) - 24\/(-280)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.76 + 0.22. Let u = 7.02 - 7. Let a = k + u. Sort 5, a, 2\/9 in descending order.\nAnswer: 5, a, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 19. Give x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 7*v)*(-1 + 1 - 2)*(-3 + 3 - 1)*(-6 + 2 - 4).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ef78 + 36?\nAnswer: -ef42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 31 + 21 = -3*z, 4*z = 5*j + 25. Let u be 1370\/(-40) + (-1)\/(-4). Let f = j - u. Calculate the remainder when f is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 16. Let p be (-3 + d + 1)\/(-1). Suppose 2*s + p*s - 60 = 0. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-5)*(-15)\/3. Let o be (-6)\/(-27) - (14\/(-9))\/t. Solve -3*h + r = -7 - 6, o = -3*h - 4*r - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1124825 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100984\/55 - 1836. Let w = -14\/55 + u. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(((y\/(y\/(y\/(y**(-5)*y*y))))\/y)\/y))*y)\/y**2)\/(((y**(-1)\/y*y)\/y)\/y)**23)\/(y**(2\/5)\/y*y*y**(-1\/3)*(y\/(y*y**3*y))\/y**(2\/9)) assuming y is positive.\nAnswer: y**(3337\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 4:16 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/9577 and -139\/1884.\nAnswer: 114924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fkft?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfl when three letters picked without replacement from tlqvlflfvvvvvlqtv.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0, 27, -9, -4, 11 in ascending order.\nAnswer: -9, -4, 0, 0.05, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*c - 0*q - 17997, c + 4*q = 3588. Find k such that 0*k**2 - 184*k + c + 4*k**2 + 424*k = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-24))\/(20\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - -25?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 greater than 495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from sejpmsem?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46 - -24.54. Let m = o + -25.4. Let p = 5.1 + -1.1. Put p, -1, m in increasing order.\nAnswer: -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 3*t**2 - 12*t - 7. Let i be o(-9). Suppose i = -7*v + 6*v. Which is smaller: -14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 10. Suppose 76*u - 25*u - 32 + 287 = 0. Let j(k) = -1. Calculate u*j(s) + r(s).\nAnswer: 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/115? (a) 0 (b) -2\/3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 + 196468*t + 982283. Give l(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -47. Suppose -22*j - 18 = -p*j. Suppose -5*v - 5*r = -10, 3*v - j = r + 2*r. What is the third smallest value in -2, v, 3\/16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2\/8 + 135*w\/2 = 0. Calculate w.\nAnswer: -180, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/5)\/u*u)**6\/(u**9*u**(-3\/5)))**(-4\/11) assuming u is positive.\nAnswer: u**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 + 42 = 0. Let o = -7 - -16. What are the prime factors of 81\/g*24\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9937028, 9937029, 9937030, 9937031?\n\"Answer: r + 9937027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/2 - 47*i**3\/2 - 573*i**2\/2 - 437*i\/2 + 529.\nAnswer: -(i - 1)*(i + 2)*(i + 23)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-87)\/810)\/((-36)\/(-285)*7). Let t = a + -2\/567. Is 1 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**8*s))**32\/(s*s\/(s\/(s**(-31)\/s*s))*s**(-2)) assuming s is positive.\nAnswer: s**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4226 less than 97\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcyrhddz. What is prob of picking 1 y, 2 d, and 1 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -375703665\/443 - -848089. Let b = i + 257659\/613998. Let s = 1\/154 + b. What is the nearest to 1\/4 in s, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240556.\nAnswer: 2, 60139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -59\/3*v**2 - 184\/3*v - 124\/3 + 1\/3*v**3 = 0.\nAnswer: -2, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3126166 by -15.\nAnswer: -3126166\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2456319896?\nAnswer: 2, 307039987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754*z - 762*z + 14288 = 0. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.22 - 89.95. Let k = g - -59. Let l = k + -0.422. Round l to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82161, -81546, -80515, -79062, -77181, -74866, -72111, -68910?\nAnswer: -65257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 29 = 3*i, 25 = i - 4*i + 4*u. Let w = 1805\/39 + 16721\/312. Let a = w - 100. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h**3 - h**3 + h**3)*(4 - 5 + 0) - h**3 + h**3 - 2*h**3)*(h + 5*h - h + (2 + 2 - 3)*(2 - 2*h - 2) + 0*h + h - 3*h - 4*h + 3*h + 3*h).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/420 and -73\/462.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -0.5. Let n = -3 + v. Let q = n + 0.1. What is q rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -52*f - 248. Calculate a(-11).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2. Let d(m) = -m. Let l(r) = 2*d(r) - g(r). Let f be l(1). Suppose f*w = -3*w + 15. Which is the closest to 1? (a) 0.1 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.1, 4, -10344?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -114 - 82. Let a(n) = n**3 - 7*n**2 + 3*n - 22. Give a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56659 and 6?\nAnswer: 339954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904*k - 7429*k + 64*k.\nAnswer: -8269*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25860.5 + 25861. Which is the closest to 30? (a) o (b) -1 (c) -16 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2. Let v(r) = -19*r**3 + 7*r**2 + 2*r. Determine -6*a(x) - v(x).\nAnswer: 13*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = -31. Let w = o - 13. Suppose -a - w*a + 542 = 5*q, -4*q + 412 = -4*a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12918 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 870310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5750, -53, 2, -1, 10 in descending order.\nAnswer: 5750, 10, 2, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + -26 + (86 - 25).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -400.9, -0.4, -0.02, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.287 + -0.013. Which is the nearest to d? (a) -0.2 (b) 2\/9 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 - 50*n + 4. What is the hundreds digit of m(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + f = -4 + 24, -5*u + 4*f + 46 = 0. Suppose 2*j - 5 = 5*c, 8*c = -3*j + 5*c + 60. Factor 4*g**4 + u - g**4 - j*g**2 + 3*g**3 - 3*g + 6*g**4.\nAnswer: 3*(g - 1)*(g + 1)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 4*o - 21, 3*g - 2*o - 9 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10000 + -1?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:04 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62224.8 + 64735.21. Let w = -2500 + c. Round w to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49a - -382b5?\nAnswer: 38793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -485 - -103837?\nAnswer: 103342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*z + 369*z = 37*u - 130, 5*u = z + 24. Suppose 4\/5*f**u + 24 + 124\/5*f = 0. What is f?\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112 in 0.5, 120683, 4\/5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.07?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5092, 5100, 5108, 5116?\nAnswer: 5124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -1 + (-563 - -550) + -42?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + 353202?\nAnswer: 353101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 7:56 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2*u + 40 - 57, 0 = u - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1280 and 137\/384.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/48 - 25*a**3\/12 + a + 1368. Factor u(s).\nAnswer: s*(s - 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -1\/10*j**5 + 0 + 3*j + 3*j**2 + 0*j**3 + 0*j**4. Find the first derivative of n(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p = -240. Let j = p + 79. Let x = -9 + j. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 40628\/5 (b) -3\/25 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/11)*u**(-2\/53)*u**(1\/5)*u**(-9\/7)*u assuming u is positive.\nAnswer: u**(-8084\/20405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + h = 8, -129*h = s - 132*h. Let c(x) = 3*x - 19. Let i be c(6). Put i, -63, s in decreasing order.\nAnswer: i, s, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7120 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 738868*b + 738870 = 0?\nAnswer: -1, 369435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 13*y - 14*y. Suppose -44 + 60 = 2*o. Let n(a) = -a**2 + 12*a - 20. Let i be n(o). Solve 0 = y*v + 2*u + 10, -v - i = 2*v - 3*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 0*s**4 - 4*s**4 + (2*s - 2*s**3 - 2*s)*(0*s - s + 0*s) + (2 - 2 - 5*s**3)*(10*s - 7*s + s).\nAnswer: -19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 152152, 304317, 456492, 608677?\n\"Answer: 5*g**2 + 152150*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + y**2 + 3)*(1 - 1 + 2) + ((-1 + 3*y + 1)*(-1 + 2 - 2) + 4*y + 2*y - 4*y)*(3*y + 2 - 2).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 13774?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(4\/(-132)*3). Let b be (j + 1)\/((-6)\/66). Round b to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 11 + 2. Let b(t) = -t - 4. Let m be b(-4). Suppose 3*f + 27 = 3*w, 4*f + m = -4*w + 4. Put a, f, 4 in descending order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8663*y**2 - 3040*y**2 + 4775*y**2 + 3044*y**2 + (-2*y + 0*y + 0*y)*(2*y - 3*y - y).\nAnswer: 13446*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/7 + 33*g**4 + 129*g**3 - 1135*g**2\/7 = 0. Calculate g.\nAnswer: -227, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 715793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/764745 and -74\/6885?\nAnswer: 20648115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -188 and -3.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24870 + 124356\/5. Determine h, given that -3\/5*h**5 + 3\/5*h + 0 - j*h**2 + 0*h**3 + 6\/5*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.69 - 17.69012695. What is y rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 45*w**2. Suppose 8*u - 544 = -0*u. Suppose -u = -5*y - 53. Let f(b) = -235 + y*b - b + 235. Give f(o(s)).\nAnswer: 90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 8. Let n(h) = -h**3 + 18*h**2 - 13*h - 19. Let y be n(17). Let s = 56 - y. Determine z(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -390*k - k**3 + 760*k - 369*k - 7*k**2 + 1. What is l(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 106287 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(-2*i - 2 + 2) + 5*i - 4*i - 11*i + (2*i + 6*i - i)*(-3 + 1 + 1).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + k - 40 - 6*k**3 + 151 + 2*k**2.\nAnswer: -6*k**3 + 4*k**2 + k + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 minus 397535487?\nAnswer: -397535365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 413609 and 226?\nAnswer: 93475634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 - 461*i**2 + 94 + 54*i**2 + 1215 wrt i.\nAnswer: -814*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 35 + 37)*(6*v**2 - v**2 - 3*v**2).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5356579*r**4 + 44371*r - 1?\nAnswer: -64278948*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.7 take away -0.029?\nAnswer: -49.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 2*z + 12, 8 = 3*h + 2*z. Suppose 4*v = -p - v - 30, 0 = -h*p + 5*v + 5. Let m = -4 - -3. What is the nearest to 1 in m, p, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 15. Let h be y(-7). Suppose n - 4*n - h = 0. Is (-213 + n)*(-2 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**2 - 19*n. Let q(k) = -12*k**2 - 28*k. Give 8*g(r) - 5*q(r).\nAnswer: -4*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162 + 193. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 0.079, -0.061, -2\/15, 3\/4, 1\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -645, -696, -769, -870, -1005, -1180?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrs when three letters picked without replacement from syurssw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5875 + -23497\/4. Suppose k*n + 0 - 3\/4*n**3 + 0*n**2 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(576)\/sqrt(12) + (sqrt(12) + 1)**2 + -3 + -1*(sqrt(3) + (sqrt(54)\/sqrt(2))**2 + sqrt(3) + sqrt(3)))*-1.\nAnswer: -5*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -19651*h + 86. Calculate u(0).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15169720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 12*i**2 - 9*i - 16. Let f be a(-8). Let c be (-3 + 1)\/((-2)\/f). Let j = c + -221. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - a**2 - 429*a + 453*a in the form j + l*a + z*a**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7432, 29690, 66804, 118792, 185672, 267462?\n\"Answer: 3*d**3 + 7410*d**2 + 7*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7736.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 12 = z, -3*z + 28 = k. Calculate the remainder when 7 is divided by (z\/8)\/(-1)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + j - 1. Let z be n(1). Suppose -z = l - 5. Let k(x) = l*x**2 - x**2 - 3*x**2. Let r(b) = 3*b. Give r(k(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5553 times 0.09?\nAnswer: -499.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 213\/(-18) + 1 + 300\/25\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157.3 - -157.27. What is the closest to h in -1, -6\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 1302*r = -4*l + 1306*r - 8, 0 = -3*l + r - 18 - 5 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1480)\/(-70) + -22 + (-2)\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*l + 512, -2*v + 640 = 5*l - 0*v. Let y = -15943 + 15970. Calculate the remainder when l is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 61*a - 53*a - a + 2 - 9*a.\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021718 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8834.901 decades?\nAnswer: 88.34901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 287, 285, 283, 281, 279, 277?\n\"Answer: -2*f + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + l. Let x(o) = 3*o**3 - 6*o**2 - 5*o - 8. Let q(n) = -2*b(n) - x(n). Let g be q(5). Sort g, 5, -1 in decreasing order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 0 - 116\/(-2). Let l be m\/8 + (-18)\/24. Is 23 a factor of l\/4*184\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84153024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 8*c = 2. Let y be ((-228)\/(-4) - c)*-2. Let x = y + 180. What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13707 - 3429 - 3424 - 3432 - 3434 + 2*x. Let c(q) = -q + 6. Let h(b) = -b**3 + b - 4. Let m be h(0). Calculate m*u(l) - 9*c(l).\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -k + 3, 4*y + 7*k - 28 = 3*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 53 - 136. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*y + 9, o + 0*y = -4*y - 3. Let q = 15 - o. Let x = 26 - q. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1921.332 micrograms?\nAnswer: 1921332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -496620 - -496619.7899928. Let j = 0.21 + n. Round j to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 866310 from 336.75.\nAnswer: -865973.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 20 = 26*y. What is the remainder when 167 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 = -2*n, -5*n - 9 = -2*x - 2*x. What is the remainder when 313 is divided by (-7)\/2*(-2 - n - 13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8249814.\nAnswer: 2, 3, 458323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b + 2. Calculate m(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 303126?\nAnswer: 303126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 173228*d**2 - 13299*d + 1023. Let z(j) = 339*j**2 - 26*j + 2. Let v(r) = -2*q(r) + 1023*z(r). Let w(f) = -5*f. Determine v(w(g)).\nAnswer: 8525*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2685227*c**4 - 2*c**3 - 20*c**2 + 190001*c.\nAnswer: -64445448*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let w(f) = 2*f**2 + f. Let t = 0 - 3. Let v(b) = -346*b - 12457. Let d be v(-36). Determine d*w(l) + t*c(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*j + 35, -1822*j = 76*u - 1823*j - 385 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76)\/((sqrt(12)\/sqrt(3) + sqrt(4))*6 + sqrt(4)) - (sqrt(57)\/sqrt(3) + -3)**2*-5)*-6.\nAnswer: -1680 + 4668*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -247 + 243. What is the third smallest value in -3\/8, 8, v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, k: 4}. Give prob of picking 3 l.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by -8\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -59. Let r = d - -19. What is p in 3\/4 + r*p + 0*p**3 + 3\/4*p**4 - 3\/2*p**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 2 - 4*y - 1. Let q(h) = 3*h**2 + 23*h + 54. Let m be q(-4). Let p(l) = -2*l - 10. Give m*i(o) - 3*p(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 14. Let u be c(11). Let h(g) = 2*g - 5 + 2 + 2 - u*g. Give h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 12*q - 6, u + 5*q = 38. Let h(m) = -m**2 - 5*m. Let b be h(-6). What is the remainder when (b\/(-2))\/(18\/408) is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 26*k**2 + 23*k - 11. Does 14 divide g(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.4 times -6695\nAnswer: -109798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(75\/(-27)))\/((-4)\/20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 8. Give f(6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 3*g + 2*g)*(4 - 27 - 4)*(0*g + 2 - g + 0*g)*((-3 + 1 + 1)*(-3*g + 2*g + 2*g) + g + 0*g - 6*g)*(0*g + g + g).\nAnswer: -3240*g**4 + 6480*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104.4 + 97.3952. Let a = 7 + w. Round a to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1431 + -1432. Let n(t) = -t**3 + 5*t**2 + 8*t - 8. Let o be n(6). Sort o, 3, i.\nAnswer: i, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114\/517 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-20))\/((12\/45)\/(-2)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:36 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.136 - -8.136. What is the nearest to -2 in 65, q, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16379*z**2 + 12 + 10 - 22 + 14775*z**2. Let i(l) = l. Give i(j(p)).\nAnswer: -1604*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 15. Is g(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o - 2*o - o**2 - 1 - 3.\nAnswer: -(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/23400 and -111\/20.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + 1)*(-4 - (-328)\/32 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*q = 419, -2*y + 3*q + 1039 - 206 = 0. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 6*c**4 - 6*c**3 - 5*c**4 + (-5*c**3 + 4*c**3 + 3*c**3)*(-3*c + 0*c + 4*c).\nAnswer: 4*c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343096 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w - 2 = -108*w - 5*m, 0 = -3*w + 2*m + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 18 (b) -1920 (c) 3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzd when three letters picked without replacement from {d: 10, z: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24270179963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2159*p**2 - 299*p - 5554065.\nAnswer: -4318*p - 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 2, b: 4}. Give prob of picking 2 w and 2 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/4 - 762\/(-4) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/2 + k**3 + k**2\/2 - 2*k + 1. Let i = -6 - -4. Let l be y(i). What is the highest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*v + 161 + 143 = -18*v. Let n(g) = -21*g**3 + 4*g**2. Let y(w) = -42*w**3 + 7*w**2. Calculate v*y(j) - 7*n(j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7)*(-1 + 1 + 10*w)*(0*w - 6*w + 5*w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + 4*x**2 + 4*x. Let d be (1\/(-3))\/(3\/(-36)). Let h(b) = b**2 + b. Give d*h(j) - a(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*a**3*o + 27*a**3 - 3*a**2 + 3433*a*o**4 - 2*a + 86 wrt o.\nAnswer: 36*a**3 + 13732*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((7\/(-2))\/1)\/(89\/(-178)). Suppose -2*h = -3*m - 66, -y*h = -6*h - 2*m - 34. Solve -4*c - 45 = -5*w, 0 = -3*c + 4*w - 5 - h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 98.\nAnswer: 5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f626 + -2?\nAnswer: 1f624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 10. Calculate the smallest common multiple of (-8)\/28 - 100\/(-7) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v - 4 = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110 + 1?\nAnswer: 10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 148663 and -0.780399?\nAnswer: 148663.780399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - (-5 + -1 + 19 + -3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0 + 0*k**7 + 0*k**6 + 2*k**2 + 1\/24*k**4 + 0*k**5 - 1\/112*k**8 + 0*k**3 + 0*k. What is the second derivative of t(a) wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-1)*8\/(-12). Suppose i*h + 3 = 11. Suppose -2*g - 8 = -3*l - l, -5*g = l - h. Which is the closest to -0.3? (a) 0.4 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 11*t - 11. Let c = -64 + 55. Let w be y(c). Let s be (6 + -3)*(-6)\/(-9). Solve 5 = w*j - s*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9355 is divided by 1166.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + 0.5. Let z(m) = 7*m. Let d be z(1). Suppose -3*x + r + 12 = -d*x, -4*x - 28 = 5*r. What is the nearest to k in 1, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/21 and -65\/257661?\nAnswer: 1803627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -42*n - 16. Let q be s(-3). Let i be ((-28)\/(-12))\/((-2)\/66). Let z = i + q. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, 1, 27.45, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6492 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 3, h: 3, v: 1, w: 3}. What is prob of sequence vqhw?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88 and -11234.381.\nAnswer: -11322.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = -42593*t + 42576*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4\/2 - 24*l**3 - 51*l**2 - 40*l - 21\/2 = 0.\nAnswer: -7, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11270, 22610, 34024, 45518, 57098, 68770, 80540, 92414?\n\"Answer: p**3 + 31*p**2 + 11240*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73254191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2 - 35*u + 101. What is d(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018153 rounded to 7 dps?\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 - 1488 = -58*i - 83*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*k + 1 = 0, -2*z + 2*k + 2 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i + 38086*i**2 + 26*i + 49 - 38116*i**2 - 13*i as c*i**2 + f*i + r and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25740774.62 to the nearest one thousand.\nAnswer: -25741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(9\/(-6) - -1))\/(-1). Let d(y) = 2*y**3 + 2*y**2 + 1. Calculate d(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6174 (base 9) to base 8\nAnswer: 10652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 6954?\nAnswer: 6954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 30030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 8. Let w be l(4). Let y(i) = -i**3 + 2*i**2 + 5*i - 2. Let z be y(3). Solve w = -3*s - z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1144 - 1144. Factor -12\/7*i**2 + 18\/7*i + s + 2\/7*i**3.\nAnswer: 2*i*(i - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 21*t + 34. Determine n(-20).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 117. Let j be (v\/2)\/((-3)\/12). Let g = -50 - j. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -11356045?\nAnswer: 11356030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(132)\/sqrt(24) - (-1*sqrt(154) - sqrt(154))\/sqrt(7))\/(-4*sqrt(32) - (sqrt(288)\/sqrt(9) + sqrt(2))) + -4)**2.\nAnswer: -142495\/1764 - 100*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 313*x + 3379. Calculate f(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6157 - 4363. What are the prime factors of b?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/42*1\/6*21.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51995.47 decades in centuries?\nAnswer: 5199.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*u = 12, 0 = -0*u - u - 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, c: 12}. What is prob of sequence icii?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17145, -2963, 20685, 53805, 96403, 148485, 210057, 281125?\nAnswer: 361695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 + r + 1. Let d be o(-7). Let m = d - -202. What is the remainder when m is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39275829*d - 410245685?\nAnswer: 39275829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48348551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -1048, -3561, -8476, -16597, -28728, -45673, -68236?\nAnswer: -97221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-391 + 391 + 266*u)*(0*u + 7*u - 2*u)*(5 - 3 - 3).\nAnswer: -1330*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 111*u.\nAnswer: -111*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85860 and 38160?\nAnswer: 343440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -24 (b) 12 (c) -2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23532 - -470523\/20. Let v = -1691\/3640 + -127\/104. What is the common denominator of o and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - -7 - (14 + 13 - 49).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:56 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/9 + 11210188*a**3\/9 + 15708561794776*a**2\/9 + 62834101446740*a\/9 + 15708516954050\/3 = 0.\nAnswer: -2802545, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 19000000 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - (-560)\/(-72). Let w be (n\/(-10))\/((-14)\/(-140)). Let b(x) = 8 - w - x**2. Let h(r) = 2*r**2. What is h(b(p))?\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112989 divided by 1?\nAnswer: 1112989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from {n: 2, s: 4, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:46 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229583\/2097183 + 80\/1851. Let q be ((-6)\/103)\/(2\/1). Let a = p - q. What is the second biggest value in 1, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.4182\nAnswer: 0.2091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 348568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.4. What is the third biggest value in a, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. What is the remainder when 5 is divided by u*2\/(-4)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 12. Let u be i(-4). Suppose -u*q + 3 = -11*q. Suppose 0 = 6*y - q*y - 60. What is the remainder when 59 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168 + -22445066109.\nAnswer: -22445066277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)\/(s**(3\/4)*s))**(9\/11) assuming s is positive.\nAnswer: s**(-423\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2))\/(u**(6\/11)*u))\/(((((u**(-7)\/u)\/u)\/u)\/u)\/u)**(17\/2))**16 assuming u is positive.\nAnswer: u**(17504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 12 = -5*h - 2*u, -u + 28 = 3*h. What is the closest to 2 in -0.1, -2, -0.4, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -265, -275, -287, -301, -317, -335?\n\"Answer: -i**2 - 7*i - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.006 rounded to zero decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -31*j**6\/15 + 11*j**4\/2 - 2*j - 22. What is the third derivative of y(w) wrt w?\nAnswer: -1488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -402*d*p**3*v - 2*d*p**3 + 8*d*p**2*v**2 - 8*d*p**2*v - 2910*p**3*v**2 + p + 2*v**3 wrt v.\nAnswer: 16*d*p**2 - 5820*p**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, -3\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -120*q - 326*q + 204*q + 175 - 360*q. Is b(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7347583 years in millennia?\nAnswer: 0.0007347583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1978 divide 370467532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -6*f**5 - 46*f**4 + 406*f**3 - 130*f**2 = 0.\nAnswer: -13, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*-6*(5 + sqrt(272) + 5 - sqrt(272)))**2.\nAnswer: 15376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -52*h + 26. Let q(x) = -2*x**3 + 4*x**2 + 2. Let k(a) = -7*a**3 + 11*a**2 + 5. What is h*k(o) + 11*q(o)?\nAnswer: 6*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + a + 8 = 0, 2*a = 4*y - 2*a. Let g be 0 + -2 + (1 - -2). Let z = g + y. Solve -z*w + 6 = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 2 + 2 + (22 + 4 + 3)*(-18*t**4 - 5*t**4 - 5*t**4) to f*t + k + a*t**4 + c*t**2 + q*t**3 and give a.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5981529 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00133826 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8730.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7604269.2 microseconds in hours?\nAnswer: 0.002112297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -8 - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 29.5.\nAnswer: 0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 7. Let y be c(3). Let a = -2.93 + -0.07. Let z = -2.1725 + 7.1725. What is the smallest value in z, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177995 rounded to the nearest 100?\nAnswer: 178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86385413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 66. Let u be (-3 - -2)\/(1 + 0). Let a be (-43 - u)*(-4)\/6. Calculate the highest common divisor of a and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 107*o - 483. Let l be m(-5). What is the nearest to 1\/2 in 1\/5, l, 0.3, -60.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633135677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 4. Let u be (-119)\/(-1) + (-21)\/h. Suppose 0 = -3*n + u - 2. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - f**4 - 3*f**2 + (-2*f**3 + 3*f - 3*f)*((2 - 4 + 4)*(-2*f - 5*f + 5*f) - f + f + f).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 539.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -625\/844 + -2\/211. Let d = 2 + -4. Let f = 1.8 + d. What is the biggest value in f, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-63 - (28 - -9)) + 0 + 7.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1808582152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let w(t) = 2*t - 1. Let j = 14926 + -14930. Give j*q(h) - 5*w(h).\nAnswer: -6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = 3*w. Let r be w\/4 - (-5)\/(-4). Is -3 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 9 = -17*j. Solve -2*v = j - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 + 160. Let i(m) = -m**3 + m**2 + 2. Let t be i(0). Solve -k = q + 3*q + 5*d, -4*d - 24 = t*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5834 take away 23418.154?\nAnswer: -29252.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 37 = -17. Suppose -w*k + 24 + 18 = 0. Suppose 3*p + 2*p + 11 = 3*n, n - 5*p = k. Solve 0 = 5*i + 8 + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*z + 1005*z - 45 = -5*s, -3*s + 57 = -3*z + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 24. Suppose -4*n - 7 = -n + 5*y, -2*n + 17 = -y. Let i(d) = 9*d. Let s be i(n). What is the greatest common divisor of s and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/65*((-8925)\/112)\/17.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 552\/96 - (3 - -2). Put u, -0.4, 0, 0.6 in ascending order.\nAnswer: -0.4, 0, 0.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {g: 19, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 3*f - 10395. What is the highest common divisor of f and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 + 5*d**5 + 6*d**2 + (2*d**4 + 4*d**4 - 5*d**4)*(-2 + 2*d + 2 + (4 - 2*d - 4)*(3 - 3 - 2) - 19*d - 7*d - 11*d).\nAnswer: -26*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3*h - 2*g**3 - 852*g**2*h - g - 205656*h wrt g.\nAnswer: 36*g*h - 12*g - 1704*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**3 + 2*h**2 - 6*h - 2. Let b(j) = 23*j**3 + 7*j**2 - 17*j - 7. Give 2*b(y) - 7*t(y).\nAnswer: -10*y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5088)\/(-7) - (-7 + 720\/105). Let r = -679 + g. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016989 at least 1016986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -471\/17 + 3263\/119. Which is the second smallest value? (a) 6\/11 (b) w (c) 10 (d) -4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {w: 2, n: 1, v: 7}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 + 2772*y**3 + 12*y**2 + 23 - 14 + 3 + 3*y wrt y.\nAnswer: 16632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485014 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517306 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 471 = 10*f + 436, 77 = -4*f - 5*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 356880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -697453806 and -697453805 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 174389 and 548.\nAnswer: 174937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9446 divided by -6\nAnswer: 4723\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.07 - -10.07. Let q = -83 + 82. Which is the closest to p? (a) q (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*363351.4.\nAnswer: -72670.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17 - 23) + (-410)\/(-68))\/(0 + -1).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -21 + 4 + -3 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7512 - -37702\/5. Let j be 77\/(-770)*1277\/(-3). Let h = j - p. Calculate the common denominator of 81\/14 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -1, -0.094?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/4)\/(((-35)\/(-40))\/7). Suppose -4*v + 52 = -r. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 12:38 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 2*p. Let t(u) = -54*u**3 + 2*u**2 + 2*u + 1. Is t(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -16. Suppose -27 + j = 4*b. Let i(m) = m**3 + 3*m**2 - 4*m - 1. Give i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1 (c) -2\/9 (d) 2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*h + 40 = -737*h. Suppose -j + 26 = 3*z - 999, h*j = 5*z - 1695. What is the remainder when z is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, c: 1, l: 1, q: 2}. What is prob of sequence ala?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 - 111. Determine k so that 10\/3*k**3 + 6*k + 4\/3 + 8*k**q = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308079 is divided by 76523.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 595351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 4783, -2\/17 in ascending order.\nAnswer: -2\/17, 0.2, 5, 4783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4918290261 to the power of 1\/3, to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182620 and 1610?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -621010 rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(h + 5*h - 4*h)*(-4*h**2 + 4*h**2 - h - 3*h**3) to g*h**3 + b*h + m + t*h**4 + x*h**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13558 - d**3 + 6751 + 50*d + 6759 - d**2 = 0 for d.\nAnswer: -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/15 + i**5\/10 - i**4\/6 - i**3\/3 + 5*i - 14. What is k in s(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 85*q - 4. Is g(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - f + 2. Let u(s) = 47 + 18 - 18*s - 45*s**2 - 92. Let b(l) = 3*a(l) + u(l). Let y(d) = -5*d**2 - 2*d - 2. Give 6*b(h) - 63*y(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 0, -5, 4 in increasing order.\nAnswer: -44, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 3*t**3 + 9*t**2 + 15*t + 6.\nAnswer: -3*(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -373*p + 84?\nAnswer: -373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858197389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1606101 times -22\nAnswer: -35334222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1342538 divided by 3\nAnswer: 1342538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 664431 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157 + 473 = -228*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/(-66))\/((-154)\/(-147) + (1 - 2)). Solve p - w = -4*g + 1, 16 = 2*p - 3*g for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -730211.\nAnswer: 730211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066305 rounded to 5 decimal places?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(3\/10)\/(g*(g**1\/g)\/g)**29*g**(1\/3)*g\/g**(-7)*g**(-1\/6)\/(g\/g**(2\/7)) assuming g is positive.\nAnswer: g**(751\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3, -2*o + 1 + 1 = m. Let d(y) = y**3 + 1 + m*y**3 - 5*y**3 - 9 - 6*y. Let a(z) = -5*z**3 - 7*z - 9. Give 5*a(q) - 6*d(q).\nAnswer: -q**3 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -362\/15 (c) -5\/24 (d) 1 (e) -4 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 + 30*u + 16. Let q be a(-22). What is the greatest common factor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 17. Is i > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 33013100300?\nAnswer: -33013100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 5*p**2 + 150*p. Determine t(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g. Let u(j) = -7*j. Let k(p) = 7*u(p) + 6*z(p). Let h(s) = -16*s**2. Give k(h(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) + -1 + -1)**2 - -1*(sqrt(13) + sqrt(52))).\nAnswer: -sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -7, 0.1, -1\/4, -1\/3, 0, 0.104, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13534127*p*x**2 + 6158381*p*x wrt x?\nAnswer: -27068254*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -96\/7 (b) -1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let n(o) = -19*o**2. What is n(p(q))?\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 0. Suppose h = 2*z + 5*u - 80, -5*z = -2*u - 217. What is the remainder when z is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/540*(8 + -7)\/1. Let b = -1487\/540 + y. Let a = 79 - 79.3. What is the smallest value in 5, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = -2*y, -2*y + 5*o - 2*o = -3. Put y, 3, 1 in decreasing order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14591180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -5 - (14 + -11 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:55 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 0. Let x = 6 - q. Let p = 2 + x. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 5\/81, -3\/8?\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let v = -209 - -213. What is the least common multiple of q and (-3 - 3)*v\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3884 - -19.5736. Let i = l + 0.038. Let c = 19.9 - i. Is c less than or equal to -8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (44 + -17)) + 44\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 + m**2 + (-5 - 2 + 5)*(-2*m**2 - m**2 + 5*m**2) - m**2 + 0 + 0)*(7*m - 6*m**3 - 7*m).\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401892780?\nAnswer: 2, 3, 5, 1753, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 14, 11?\n\"Answer: -3*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**3)\/(p*p*p**(11\/6)\/p) assuming p is positive.\nAnswer: p**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -35. Which is the nearest to 1\/3? (a) -0.3 (b) u (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**2 - 46*l. Let s(g) = -48*g + 8. Determine s(j(c)).\nAnswer: -528*c**2 + 2208*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*a + 9*a - 14*a)*(-4*a**2 + 2*a**2 - 8*a**2).\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-24))\/(((-1599)\/520)\/41). Solve 5*w = 3*t + 37, -w + 5*t = -2*w - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 1214 = 1166 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 2*q + 6 - q**3 + 11 + 129*q**2 - 6 - 9 in the form f + v*q**2 + t*q**4 + r*q + d*q**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Suppose 0 = l*q - 5 + 20. Let h be ((-39)\/15 + 2)\/q. What is the nearest to -3 in -1, h, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 22*l - 12480. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 179?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -1\/9*k**5 + 119\/9*k**2 - 98\/9*k + 0 - 11\/9*k**4 - k**3 = 0.\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -242*v + 5. Let t(z) = 362*z - 6. Let i(w) = -7*o(w) - 5*t(w). Let g(a) = 2*a. Calculate i(g(k)).\nAnswer: -232*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from iiqiqikb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fooooofffoofffffoo.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {t: 6, d: 1, w: 3, f: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51935 and 372436.\nAnswer: 1137791980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*v + 136*v - 370 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 1 + -239 + 231 + 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y*y**(-1\/7))*y**3*(y\/(y*y\/(y**(2\/5)\/y)*y))**(-21\/8) assuming y is positive.\nAnswer: y**(2231\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m - 7. Let h = -1162 - -1173. Let r(n) = -5*n - 4. Determine h*r(s) - 6*c(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - -21. Suppose -3*r + 96 = 3*f, -144 = -3*r + 2*f - b. Solve 0 = 7*g + 5 + r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**3 - 3*l**3 + 0*l**3)*(-2*l + l + 4*l - 3) in the form k*l**4 + f*l**3 + a*l**2 + x + v*l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18569, -31126, -43683, -56240, -68797?\n\"Answer: -12557*l - 6012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918 at most as big as 9920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-1\/4))**(9\/7)*(c\/(c*c*c*c**(-3\/5)*c))\/c*c**(-3))**(-35) assuming c is positive.\nAnswer: c**(581\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -579*n + 831*n + 3 + 5 + 784*n - 2 in the form l*n + o and give l.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35325322 (base 6) in base 15?\nAnswer: 16aec5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 + 28 - 12*u + 32*u**2 - 14*u**2 - 17*u**2. What is the tens digit of p(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:30 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 174, 275, 380, 489, 602?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -446334, -892750, -1339166, -1785582?\n\"Answer: -446416*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0035? (a) 1\/2 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70186830 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 + -51.2178?\nAnswer: 1015.7822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11374 = 4*d + 4490. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 220*f = 225*f - 8, 2 = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 29, 3, 5, -2, 468 in ascending order.\nAnswer: -2, 1, 3, 5, 29, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h = -69*h - 2*s + 16, -2*h - 10 = -3*s. Solve -2*y + 32*v - 31*v - h = 0, -3*v = -3*y - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjj when three letters picked without replacement from ffffppjjfpjjjjjfjf?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24271 + 1169 = 1060*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888748 (base 9) in base 4?\nAnswer: 10003131230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2434083?\nAnswer: 3, 47, 61, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 2*j + 5. Let w be ((4\/(-3))\/2)\/((-2)\/6). Let a(v) = -v - 2. Let y be a(w). What is r(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzs when three letters picked without replacement from {s: 1, n: 2, y: 1, p: 1, l: 1, z: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -904, -1874, -2844, -3814, -4784?\n\"Answer: -970*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4392106134*d**3 - 4392106133*d**3 - 2 + 2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-4)\/5 - (5 - 2268\/210). Let r = -40 + 65. Solve p - u*p - r = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 + -15?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 555 + -553. What is the least common multiple of 134 and r?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1212201010?\nAnswer: -1212201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - x**2 + 3*x + 2. Let z be o(-3). Let h be 2\/z + 80\/44. Solve 0*a = h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 715725 - 116794. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*a + 6*a**2 - 7*a**2 - 3*a**2 - 400 - 7*a.\nAnswer: -4*(a + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -76*o + 1247. Let q be i(15). Solve 0 = -108*v + q*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9195024 divided by -6\nAnswer: -1532504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16897, 16886, 16867, 16840, 16805, 16762, 16711?\n\"Answer: -4*l**2 + l + 16900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 20. Let t be o(10). Solve t = -2*v - 2*k - 2, 5*v - 2*k + 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:03 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 6, l: 1, n: 2, x: 1, w: 1}. Give prob of sequence wnm.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 + 18 = 0. Solve -t + 6*t = 2*x - 28, -t = 2*x - k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 3}. Give prob of sequence xxx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 259831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 244314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 235227, -4, 5 in descending order.\nAnswer: 235227, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 14923 = -11481. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87345984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(2\/3)*((n*n**(-2\/5))\/n)**(-1\/33) assuming n is positive.\nAnswer: n**(-658\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(200)*-5)\/sqrt(5))\/(3*sqrt(6)\/((sqrt(12)\/sqrt(4) + sqrt(3))*-2)))**2.\nAnswer: 32000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.240853 - -0.069977. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u - 3. Determine l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 45. Let m = 12 + p. Let h be (2*(-2)\/4)\/m. Which is the closest to h? (a) -2 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a10 (base 14) in base 16?\nAnswer: 7b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62\/41 - 876\/451. Let y = -356\/33 - m. Suppose 8 = 2*p - 3*p. Is p bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = 4. Let t(d) = -20*d - 96. Let q be t(-13). Let j = q - 164. Sort z, -4, -5, j in ascending order.\nAnswer: -5, -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 1456*k**2\/3 - 88814*k\/3 - 58564\/3.\nAnswer: -2*(k + 121)**2*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qbbbbbbqqbqbhbqbqh?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -581*d*l**2*o + 537*d*l**2 - 2228*d*l*o + 82984*d*o - 115*l**2*o**3 + o**3 wrt l?\nAnswer: -1162*d*o + 1074*d - 230*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 210127, 210130, 210137, 210148, 210163, 210182, 210205?\n\"Answer: 2*r**2 - 3*r + 210128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/60 - u**4\/24 + 29*u**3\/6 + 24*u**2. Let h be p(-6). Which is the closest to 1? (a) h (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/5)*((s*s**(1\/6))\/s)\/s assuming s is positive.\nAnswer: s**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*r**5 - r**4 - 5*r**2 + r**4 - 9*r**5 wrt r?\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4\/5*w**2 + 0 + 16\/5*w = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2. Let h(b) = -4*b - 24. Let r be h(-14). Let n = -30 + r. Let p(o) = n*o**2 - 16*o + 16*o. Calculate t(p(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f + 6. Let n = 9 + -7. Put 4, n, f in ascending order.\nAnswer: f, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 99, 150?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 + z**2 + 1. Let v(p) = 140*p**3 - 289*p**2 + 3. Let k(i) = 3*o(i) - v(i). Find the third derivative of k(r) wrt r.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcofinfi. Give prob of picking 1 o, 1 h, 1 n, and 1 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*n - 4*x, 926*n - 930*n + 5 = x. Factor -4\/7 + 6\/7*m + 0*m**n - 2\/7*m**3.\nAnswer: -2*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t - 15. Suppose 0 = 3*b - 3*l + 63 - 189, 0 = -t*b + 2*l + 225. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10998, 22010, 33034, 44064, 55094, 66118, 77130?\nAnswer: 88124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1618, -2457, -3854, -5809?\nAnswer: -8322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odiippuiiuwu. Give prob of sequence idu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395 divided by -1198.\nAnswer: 395\/1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 41734.5075 minutes?\nAnswer: 4.140328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 - 15*u**2 - 29*u + 15. Let g(q) = -q**3 - 5*q**2 - 10*q + 5. Let x(r) = -11*g(r) + 4*i(r). Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + i - 5 - 4 + i**2 - 9*i. Is j(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2092*m**3 - 183 - 516 - 308 - 373 - 2*m - 3310 wrt m.\nAnswer: 6276*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(18*m + 22*m + 12*m) + 4*m - 4*m + 2*m.\nAnswer: 106*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7 = -3. Let s be 0\/(4\/4 + v*1). Suppose s = -3*p - 3*p + 942000. Round p to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 1\/4035, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 + 2*p**2 - 13*p + 12. What is x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*d, -2*g + 3*d - 12 = -153. Let b(r) = 31*r - 15. What is the remainder when g is divided by b(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 467 + -15661273?\nAnswer: -15660604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 58. Let g be 0\/(-20) - (29 - 1). Let c be u(g). Solve 0 = 4*n - c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6161556378 and 2267?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -19, -31, -37, -31?\n\"Answer: h**3 - 6*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3428 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 496184 or -184?\nAnswer: 496184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2151*j**2 + 2*j. Is r(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 0*c**3 + 0*c**5 + 197\/12*c**4 + 0*c**2 + 1\/42*c**7 - 1\/5*c**6 + 218*c + 0. Find the third derivative of u(g) wrt g.\nAnswer: 60*g**2 - 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482411 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(11\/33)*20. Calculate the highest common divisor of u and 1560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136, 300, 464, 628, 792, 956?\n\"Answer: 164*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - 4105?\nAnswer: -4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p + 55. Let m be s(-4). Let r = 199 - 43. Suppose -m*o - 33 = -5*n + 326, 2*n + 5*o - r = 0. What is the remainder when n is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*x + 24 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26281 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 344*p - 3031. Determine o(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 2:23 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -46*j - 16*j - 312 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:42 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -688 + 975. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23385 - 22428. Calculate the greatest common factor of 275 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2 - 360\/(-88)) + 63\/(-42)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190874697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/(35\/(-20)*-2). Let z = 0.51 - 0.01. Let g = 1 + -1. Which is the nearest to g? (a) -0.4 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 8. Let u(d) = -d**2 + 5*d - 2. Let s be u(j). What is the units digit of 1 - (-3 + (s - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 316 (c) -8\/7 (d) -0.1 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2. Let a = 56 - 1. Let m(t) = 55 - a - 4*t**2. What is s(m(w))?\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-4))\/(((-21)\/2)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -869 (base 13) to base 7.\nAnswer: -4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*z - 20. Suppose z*h - 109 = 218. Suppose -92 = -3*n + h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -12*b + 5*b. Let t = 38 - b. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78504913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyllxolxqxyxyxyoy. What is prob of sequence yqx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177631354 by -197.\nAnswer: 901682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52546 is divided by 604?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 2*g + 2, 4*g = -h + 6*g - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:34 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/120 - g**5\/10 - 7*g**4\/24 - 5*g**3\/6 - 3*g**2. Let q be b(-5). Is (25 - q) + (-1)\/1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -210, -315, -420, -525, -630?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/12 + o**3\/2 + 3*o**2\/2 + 2*o. Calculate the smallest common multiple of t(3) and ((-18)\/27 + (-4)\/(-24))*-20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100545210436 plus 0?\nAnswer: 100545210436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 2*a - 3636*a**3 + 3635*a**3 + 12 + 20 to the form j + c*a + n*a**2 + h*a**4 + i*a**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438439916 divided by 109609979.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10872 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43 + -3.43. What is the second biggest value in r, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1003 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.334 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r - 3. Let d be h(2). Suppose 2*x**2 - 8 + 21*x + 11*x + 3*x**2 - d*x**2 = 0. What is x?\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/28 and -29\/48650.\nAnswer: 97300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1229*y + 1240*y - 198 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974650 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -553 - -531. Let r be (-4)\/(-10)*(-220)\/o. Suppose 2*j - 3*j = -4. Solve -4*v = 2*f + 3*f + 10, -r*f = -j*v + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.102144362 - -0.273.\nAnswer: 0.170855638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 24*f - 25*f - 9, -16 = -3*w + 2*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 12838.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 4*d**2 - 2. Let t be y(-4). Let i(m) be the first derivative of m**4 - m**3\/3 - 3*m**2\/2 - 2*m + 16884. Calculate i(t).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:26 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h - 2. Let g(z) = z**3 + 4*z**2 + 2*z. Let s be g(-3). Let i be v(s). Suppose 2*q + b = 1, -q = 2*b - 7*b - i. Sort q, 5, 2 in decreasing order.\nAnswer: 5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10522952 and 591.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (22 + -8 - 0). What is the nearest to 2\/9 in t, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 971 - d**2 - 487 - 492 to the form h + o*d + u*d**3 + b*d**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -80. Suppose 2*q - 17 = -7, -173 = 2*c + 3*q. Let v = d - c. Solve 0*n - v = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2. Let g(k) = -4*k**2. Let o(t) = 6*a(t) + 13*g(t). Let l(b) = 1219 - 2*b - 1219. Determine o(l(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -103. Let k(g) be the second derivative of 1\/6*g**4 + 0 - g + 0*g**f - g**2. What is x in k(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 86458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2014251 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*a - 2*b + 70, 70*a - 74*a + 3*b + 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 14 = 2*t, 5*t = t + 4*g + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891189 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*((0 + 0 + 2)*(1 + 1 - 1) - 4 + 4 - 4 + 3 - 1 - 3)*(7*c + 12*c - 38*c) to the form w*c + d and give w.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-9)*((-35)\/(-10) + -2). What is the highest common factor of 32 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**3 + 10*k**2 + 6*k + 7. Let c be z(-4). Let j = 862 - c. Is 35 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 12*x**2 - 28*x + 21. Let v be g(-4). Let k(i) = i**2 - 5*i + 4. Let a be k(6). Suppose 2*z + v*h + a = 0, -2*h + 22 - 5 = 5*z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -532*k**2 - 1. Let n(x) = 177*x**2. What is -8*n(l) - 3*y(l)?\nAnswer: 180*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 5*o + 6*o + 13 + (0 - 4 + 3)*(2*o + o - 4*o + (-8 + 8 + 4)*(3 - 2*o - 3)) as t*o + z and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 6*o - 8. Let s be z(-8). Suppose -4*y - 1 = -61. Suppose 2*f - 5*k + y = 6*f, 3*k - 2 = -f. Solve 3*t = -u - s, f*u = -6*t + 2*t - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094980 rounded to the nearest 10000?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 4 + (11 - 4 - (17 + -10))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 + 77*j + 8618 = 0 for j.\nAnswer: -62, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -6, -1, -14, -11 in ascending order.\nAnswer: -14, -11, -6, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 507029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -606, -676, -864, -1188, -1666?\n\"Answer: -3*k**3 - 41*k**2 + 74*k - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -0.9. Let c = p + 2. Let b = -51 - -48. What is the nearest to 1 in 0, b, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5782, -5783, -5784, -5785, -5786, -5787?\nAnswer: -5788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/84 + 2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, b: 6, s: 2}. What is prob of sequence sh?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 17 + 16 + 25*t**2 + 2*t**3 + 37*t**2 to j + v*t**3 + s*t**2 + k*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17114301.\nAnswer: 3, 43, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4743339, -4743356, -4743361, -4743348, -4743311, -4743244?\nAnswer: -4743141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010102 (base 3) in base 15?\nAnswer: 6d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 161. Let l(v) = -2. Calculate -5*l(y) - n(y).\nAnswer: -y - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190, -2063, -2594, -2753, -2510, -1835, -698, 931?\nAnswer: 3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0241 - 4.0241. Which is the nearest to -0.1? (a) 1\/7 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + b)*(0*b + 3*b - 4*b) + (0 + 1 + 8)*(b + 2*b - b)*(-1304 + 1304 - 33*b) to a*b**2 + c + t*b and give a.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlhs when four letters picked without replacement from {h: 10, u: 1, l: 4, s: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5914, -24.\nAnswer: -5914, -24, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let m(l) = 150921337*l**2. Determine m(q(b)).\nAnswer: 603685348*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1089935509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1, -361\/5, -5, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**8\/840 + g**6\/180 - g**3\/3 + 3*g**2. Let t(w) be the first derivative of l(w). What is the third derivative of t(n) wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/108*4\/(-14). Sort -0.3, -1, i in decreasing order.\nAnswer: i, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/2*222\/(-3108). What is the second smallest value in y, -40, 0.2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 3 + (3 - 2). Let z = b - 0. Suppose q + q = z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100001011000001111100111?\nAnswer: 100001011000001111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-96))\/((105\/(-6))\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5169, 20718, 46639, 82938, 129621, 186694, 254163, 332034?\n\"Answer: r**3 + 5180*r**2 + 2*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = f - 900. Let p = 1690 - f. What are the prime factors of p?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8917, -8990, -9107, -9268, -9473?\nAnswer: -9722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omifu. Give prob of picking 1 i and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 31 = -39. Let m = k + -49. Calculate the remainder when 40 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 14 + 2 - 2 + 1 + (3 - 4 + 4)*(-1 + 0 - 1))*(2*x - 4*x + 0*x)*(26 + 41 + 4) as y*x + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 9. Suppose 0 = -17*x - 60 - 8. Is x not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*-2*(sqrt(156) - (sqrt(156) + 5*-2*sqrt(156))))\/((2*sqrt(72)*1)\/(sqrt(6) - -1*sqrt(726))).\nAnswer: -480*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -3*p**5\/10 + 5*p**4\/12 + 3*p**2\/2 + 21*p. Let c be 1 + (-3)\/(3\/(-2)). Let j(q) = -q**3 + q**2 + 1. Calculate c*j(n) - m(n).\nAnswer: 3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 2. Let k(g) = 98*g**2 - 2*g - 114. Let i(h) = -2*d(h) + k(h). Find the first derivative of i(t) wrt t.\nAnswer: 196*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 16*w**2\/5 + 34*w\/5 - 4.\nAnswer: 2*(w - 5)*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 1441*n**4\/12 + 637*n**3\/6 - 1128*n. Find the second derivative of c(s) wrt s.\nAnswer: 2882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11840\/(-592))\/((165\/(-72))\/(-11)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7846.\nAnswer: 2, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d, -5*d = 5*w - 0*w - 90. What is the second derivative of -5*u + 53*u + 16*u**5 - w*u**5 wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426547 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*f**2 - 36*f**2 + 11*f + 5*f - 14*f to a*f + w + u*f**2 and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 4*x**2 + 2*x**2)*(0 - 5 + 4 - 3 - 3 + 5 - 3 - 1 + 3 + (-1 + 6 - 2)*(5 - 4 - 2) + 3 + 3 - 4).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r**3 + 13*r**3 + 102*r**3.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 55 - 23. Solve 0 = -3*c + n, -2*c - 6 = -3*w - 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1118 by -17.\nAnswer: -1118\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 37. Let j be -39 - (5 - (0 - -2)). Let g = j - -64. What is the remainder when l(g) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 36*m**2 + 30*m + 90. What is the units digit of h(36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 2. Let i be d(3). Suppose i*b + b - 25 = 0. Let c be (-2)\/(-4 - 0)*14. Solve 0 = b*a - 3*f - 19, -a - c*f + 2*f = 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2 + 133*f - 269*f + 139*f. What is a(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + -4*sqrt(245)))**2.\nAnswer: 15680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -25\/2 in decreasing order.\nAnswer: 0, -4, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -78*p + 441. List the prime factors of k(-18).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 + 528188*v**2 + 4225696*v + 8451520 = 0.\nAnswer: -4, 132055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 1 - 2)*(0*f + 0*f - f**4) to d*f**4 + k*f**3 + a*f + q + u*f**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32\/2791 + 7549591\/5582. Let l = d + -37981\/28. Calculate the common denominator of -17\/140 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/25 - (-69)\/15. Suppose -h*s + 128 = -104. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 8, -3 in descending order.\nAnswer: 145, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13666, -26728, -39790, -52852, -65914?\n\"Answer: -13062*p - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 + 31*b to o + p*b and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5\/2 + 53*c**4\/2 + 195*c**3\/2 + 319*c**2\/2 + 116*c + 30 = 0.\nAnswer: -5, -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*w - 121*w - 128*w + 506*w - 109*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48783*t + 48787*t + 76 = 4*f, 5*t + 98 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 604\/72 - (1 - 2). Let l = 54587\/9 + -6059. Let b = l - p. Calculate the common denominator of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (5 - -5 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38591.9616 + 8641.3.\nAnswer: -29950.6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 7087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 15 - (0 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1 (c) -33 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 863, 1795, 2733, 3677, 4627, 5583?\n\"Answer: 3*w**2 + 923*w - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 - -6)) + 1 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 370045877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13760 and 6.\nAnswer: 41280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14779 - 0.17879. Which is the smallest value? (a) d (b) 27 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7266994.\nAnswer: 2, 7, 29, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 137 = 2*l - 112, 0 = 4*l - 4*i + 56 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -15. Let r = -5.3 - -5. Put -0.5, r, h in decreasing order.\nAnswer: r, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 10*o + 15. Let q be z(-11). Let a = 8 + q. Let u = a - -43. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - j + 6 = a, -2*a + 21 = 5*j. Let b be a\/2*(12 - 10). Solve -5 - 1 = -b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587262.\nAnswer: 2, 3, 13, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69701940?\nAnswer: 2, 3, 5, 7, 11, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14396, 17630, 23020, 30566, 40268, 52126, 66140?\n\"Answer: 1078*p**2 + 13318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*j**4 - 4\/5*j**2 + 0 - 4\/5*j + 4\/5*j**3.\nAnswer: 4*j*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/8)\/1 + -2. Is 2 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.34, 2\/1149, 0.3, -0.2 in decreasing order.\nAnswer: 0.5, 0.34, 0.3, 2\/1149, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 56, 2588 in ascending order.\nAnswer: -7, 56, 2588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**2 - k - 2. Let f(y) = 7*y**2 - y - 2. Determine 3*f(c) - 2*z(c).\nAnswer: 3*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 + 12 = 0. Suppose 2*t - 60 = -w + g*w, 0 = 4*w - 4*t + 220. Let z = -152\/3 - w. Which is the nearest to -1? (a) -4 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -15*k + 3\/4*k**4 - 9\/56*k**8 + 0*k**6 + 0*k**3 + 0*k**5 + 0*k**2 + 0 + 0*k**7. What is the third derivative of j(l) wrt l?\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:10 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1106, -1239, -1382, -1541, -1722, -1931, -2174, -2457?\n\"Answer: -o**3 + o**2 - 129*o - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 16*k**2 - 33*k - 63. Determine s(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from gifffiffff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 4*s + 8. Suppose 0 = 4*x - g + 17, -7*x = -8*x - 5*g + 22. Let j be c(x). Solve -3*f = 1 + j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 2:08 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - f + 15. Calculate t(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 20 = 5*r, 2*r - 6 = k. Suppose 132 = 4*i + 5*m, -k*i + 3*i + 24 = -m. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -2. Suppose -x = 4*g + 40, 5*g + 1 + 49 = -4*x. What is the remainder when 0 - 1\/(-1) - g is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 1 + sqrt(112) + sqrt(112) - (sqrt(112) + 2 + -3)).\nAnswer: -24*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8150 divided by -5\nAnswer: -1630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72, -69, -66?\n\"Answer: 3*p - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/9*2\/(-1))\/((-56)\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*m**4 + 2*m**3 + 2*m**2 + 8715*m wrt m?\nAnswer: -1356*m**2 + 12*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70998*j**4 + 5*j**3 - 6604169?\nAnswer: 283992*j**3 + 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*h = -7*h + 49, -2*q = -2*h + 24. Is -11 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151957 is divided by 75267?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4293 - -1342. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:31 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.404 + 0.536. What is t rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:39 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 1196 = -7*v - 2*l, -5*v = -4*l - 2991. What are the prime factors of v?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(((c*c**6)\/c)\/c)\/c))\/(c*c**(-1\/2)))**(-38\/5)\/(c**(-6)*c**(-1)\/c*c**3\/c**(1\/3)) assuming c is positive.\nAnswer: c**(593\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152352295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 5:06 PM?\nAnswer: 168","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x + 360. Let k be y(-19). Suppose -n + 2*n - 4 = 0. Suppose -5*h = 5 + 15, 2*h = n*m - 108. Calculate the greatest common divisor of k and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n + 239*n - 4995 = 39*n - 27*n for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 463800 and 290?\nAnswer: 13450200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 20*v + 73. What is the units digit of f(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 2 - 3)*(4 - 4 + 4)*(-3*z**4 + z**4 + 4*z**4) in the form h*z**4 + a*z + n + q*z**3 + j*z**2 and give h.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 35, 19\/5, 1\/11, 2, -0.5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c + 17. Let p be g(-5). Let a = p - 22. List 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 17, 52, 135, 290, 541, 912?\n\"Answer: 4*f**3 + 7*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 1340*a + 1345 = 0. Calculate a.\nAnswer: -1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 17*n + 12*n + 80, -73*n + 77*n - 4 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 q when four letters picked without replacement from bfffeqbvqbfvbq.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14 + 24*y - 7 - 10 - 2. Is j(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 4. Let w = -2 - r. Let c = -1.5 - -1.4. Are w and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20078 is divided by 633.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40.4, -2, -0.05, 2, -0.3 in decreasing order.\nAnswer: 2, -0.05, -0.3, -2, -40.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -4038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465101 is divided by 255?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-5))*r\/(r*r\/((r*(((r*r**(-8)*r)\/r*r)\/r)\/r)\/r)*r))**(-13\/3) assuming r is positive.\nAnswer: r**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 3*g, g + 7 - 21 = 2*q. Put g, 3, -5 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-86)\/20*25\/20 and -71\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39869432?\nAnswer: 2, 29, 171851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 971, 1943, 2915, 3887?\nAnswer: 4859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 35*s**2 + 17*s + 22. What is z(-17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*w**3 - 2 - 70*w**3 + 25*w**3 + 25*w**3 to g*w**2 + d + s*w**3 + j*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 + 7 - 27\/(-5). Which is smaller: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*m - 14. Suppose 5*l = -15, -3*o - 14 = m*l - 2. Suppose -63*h - 15 = -66*h. Solve -3*j = -3*w - 5*j + h, o = -5*w + 5*j + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let h(a) = -a**3 - a**2 + 2*a + 2. Let p be h(m). Find the third derivative of 0*o**p - o**4 - o**4 + o**2 wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -444749.84 to the nearest 10.\nAnswer: -444750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - 62\/(-4). Let z be (-4)\/((-8)\/a)*32\/48. Solve -5*c + 8*k - 3*k + z = 0, -32 = 4*c + 5*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427*-76.\nAnswer: -32452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1 in descending order.\nAnswer: 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t = 0. Which is the closest to 2\/21? (a) 2\/7 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*s + 10 + 7 = 0, -4*x - 2*s + 2 = 0. Let f(n) = 2*n**2 + 5*n - 3*n**2 + n**2 - x - n**2. Determine f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30256 divided by 3.\nAnswer: -30256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22634.8*4\nAnswer: -90539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*l + 0 + 0) - 3*l + 0*l + l + 668*l + 545*l - 553*l + 1253*l.\nAnswer: 1907*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 3*f**2)*(1 - 4 + 1)*(16*f**3 + 3*f**3 - 5*f**3).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 252 = -3*x - 413, -4*d = -5*x + 1297. Which is bigger: d or -330?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a**2 + 57*a - 77. What are the prime factors of f(15)?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8309.46 millimeters to centimeters.\nAnswer: 830.946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16443, -21465, -26487, -31509?\n\"Answer: -5022*g - 11421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*2)*-1)\/((sqrt(4752) - ((sqrt(4752) - sqrt(4752)*1) + sqrt(4752)) - sqrt(4752))\/sqrt(11)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -881 + 1080. What is the remainder when 207 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/16)\/(17\/(-4)))\/((-34)\/68)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 9237972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7) + -4)**2 + -1 + sqrt(63).\nAnswer: -13*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2353322?\nAnswer: 2, 857, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + 2 + 18 + (-5 - -12) + -24.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a0244 (base 11) to base 10\nAnswer: 146700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 + 9 - 7*x**2 - x**2 + 3*x + 5*x**2. Let i(o) = -16*o**3 + 14*o**2 - 15*o - 45. Let y(w) = 33*c(w) + 6*i(w). Determine m so that y(m) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3692*d + 203623. What is h(-56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 2*k**3 + k**3)*(-3*k + 3*k - k) + k**4 + 4*k**4 - 2*k**4 - 1 + k**4 + 1.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 105\/12 - 1\/(-4). Suppose -8*k = -i*k + 13. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m - 39. Calculate l(10).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -68*t**3 - 3*t**2 - t + 1427. Let b(h) = 137*h**3 + 5*h**2 + 2*h - 2853. Let o(m) = -3*b(m) - 5*v(m). Differentiate o(g) with respect to g.\nAnswer: -213*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 20*l**2 - 5 + 11*l**2)*(-4*l + l + l).\nAnswer: -50*l**3 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34405 - -34356. Which is smaller: 12 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7077 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: Solve 14*q - 12 = -2*b + 10*q, -3*b - 5*q = -14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23333\/6 + -3866. Let b = k + -23. Let u(r) = r**3 + 3*r**2 - 5*r - 6. Let d be u(-4). What is the nearest to -0.2 in 5, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 k when three letters picked without replacement from {c: 2, o: 1, x: 1, m: 3, y: 3, k: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -121483?\nAnswer: 5\/121483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**4 + 39*n**3 + 36*n**2 - 111*n + 42 = 0. What is n?\nAnswer: -2, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1401 + -4?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**3 - q**2 + q**2)*(-33 - 47 + 44 + 374 + 191) to the form x + c*q**3 + k*q**2 + u*q and give c.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13729 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 78868114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 824 - 4038 + 770 + 813 + 7*o**3 + 815 + 816.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by (-138)\/(-621) - (-20325)\/27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**2 - 21*z**2 - 37*z**3 - 37*z**3 - 24*z**2 + 67*z**3 to the form p*z + s*z**2 + i*z**3 + t and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ad5be (base 15) in base 16?\nAnswer: -2b2cf2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 8*c + 5. Let g be f(-8). Suppose -g*z = -z. Let y be 7\/(z - (-2)\/(-20)). Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545694103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 5 + 10 + 3*k**3 - 5.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(((1628\/(-16058))\/(-11))\/(2\/(-1)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820121 is divided by 63080?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.45, -2\/77, 0.381?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11691210 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -40942.1 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 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: b\"What is the fth term of 18155, 19441, 20729, 22019?\n\"Answer: f**2 + 1283*f + 16871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*h + 22 = -280*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 650, 441, -1478, -5965, -13878, -26075?\n\"Answer: -143*j**3 + 3*j**2 + 783*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -305\/4 + 77. Sort c, 2\/5, -1\/21.\nAnswer: -1\/21, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -121 + 94*p - 72*p - 8*p. What is a(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3156780205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -109. Suppose 1060 = -g*u + 5*u. Calculate the remainder when u is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.3, -3\/7, 14, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 + 0*v**5 - 4*v**5 + (2 - 2*v**2 - 2)*(3*v**3 + 2*v**3 - 3*v**3) + 31*v**5 + 1444*v**4 - 1444*v**4.\nAnswer: 25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(936\/(-90)) - 2\/(-8))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1036 - 340.4964. Let o = b - -446. Let y = o - 97. Round y to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 8:18 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(48)\/sqrt(4) + sqrt(12)))**2 - (sqrt(304) + 2) - (2*1*sqrt(931))**2) + 1.\nAnswer: -14881\/4 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-2)\/(-1))\/1*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:07 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12293*u + 86178. Give f(-7).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 737443*h**2 - 754149 wrt h.\nAnswer: 1474886*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 8?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)\/(m\/(m\/m**7)) assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286525 and 5875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 28*j + 212. Let q be a(-13). Solve -q*n - 15 = -22*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -28 + 10. Let m = s - -13. Suppose 73 + m = 2*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156452426?\nAnswer: 2, 13, 433, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 144501409.\nAnswer: 144501408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/240 + 7*t**5\/360 + t**4\/24 + 2*t**2 - 26. Factor l(g).\nAnswer: -g*(g - 3)*(3*g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*m**2 + 2 - 4*m**3 + 1 - 98*m**2 - 5 as z*m**2 + n*m + v + t*m**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117145 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2. Let v(o) = 23 - 12 - 1 - 9. Let g(y) = -4*i(y) + 7*v(y). Suppose l + b - 5 = -2, -3*l = -3*b - 27. Let a(z) = z + 5. Give l*g(w) + a(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 743 + -725. What is the greatest common factor of 60 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*o + 11*c**3 + 3*c*o**3 - 1449*o**3 with respect to c.\nAnswer: 3*c**2*o + 33*c**2 + 3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.3928s to nanoseconds.\nAnswer: 227392800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375926526 - 572871231 = -608*m - 148270301. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hosjhjfl. What is prob of sequence sj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/2079)\/(2\/(-28)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*l**2 + 56*l - 2*l**3 + 63*l + l**2 - 182*l + 65*l in the form y*l**3 + c + u*l**2 + f*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 11*q. What is s(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(432) + sqrt(432))**2 + 4 - sqrt(432) - (sqrt(432) + 5 + (sqrt(432) + sqrt(432)*-3 - sqrt(432)))**2) + 0.\nAnswer: -1317 + 228*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b734a8 (base 12) in base 13?\nAnswer: 7a17b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 + 9*k + 12. Let c be a(-8). Let p(i) = -4*i - 5. Let b be p(c). Calculate the common denominator of (2\/(-3))\/(b\/(-9)) and 99\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - 3*u + 5926870*u**4 + 573*u**5 - 5926870*u**4 wrt u?\nAnswer: 11460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (79 - (-3)\/(-3))*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*w - 5*k, 0*k - 2*k + 10 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l + 890. Let n(q) = 11*q + 592. Let y(r) = -8*n(r) + 5*s(r). Let o(h) = h**2. Give o(y(c)).\nAnswer: 4*c**2 - 1144*c + 81796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 - 5*l + 9. Let o(b) = 63*b**2 + 81*b - 144. Let v(d) = -2*o(d) - 33*r(d). Does 9 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsa when three letters picked without replacement from {f: 1, a: 1, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 + p**2)*(15 - 17*p - 94*p - 15 + 3*p).\nAnswer: -108*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-866)\/(-4) - (-6)\/(-12). Suppose 0 = c + 2*c - j. Suppose 4*u - 12 = 0, -3*l - 8*u + 3*u + c = 0. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383 - -380. Sort -5, 123, w.\nAnswer: -5, w, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2\/9147, 2, 4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 3, q: 5, f: 1}. Give prob of picking 1 d, 2 q, and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29945830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231030213132 (base 4) to base 2.\nAnswer: -101101001100100111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 1. Suppose -l*c + 19*c + 10 = 0. Solve g + u - 1 = c*u, -g - 2*u = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -318 + 363.8. Let z = v + -46. Let f be (-2)\/3 - (-13)\/15. Which is the third biggest value? (a) f (b) -3\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*i - 25, 0 = 2*i - 1 - 3. Differentiate 4*s - 51*s + n*s - 28 - 47*s with respect to s.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 588 divide 2055259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 8, -1, -372\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7338, -14847, -22352, -29853?\n\"Answer: 2*j**2 - 7515*j + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + -3 + -8 + -5 + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -d, 9*l - 4*d = 12*l + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2334\/5 + -137856\/295. Are u and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 35*s**2 + 3230*s - 233. Give l(-77).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -d - 6 + 19, f = 5*d - 13. Suppose 2*x - 31 + d = 0. Find the first derivative of -19 + i**2 + 9 + x wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.1 (b) -3\/73 (c) -10 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55, -110, -155, -184, -191, -170, -115?\n\"Answer: h**3 - h**2 - 59*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 41 = -41. Suppose g - 15 = -2*g. Solve g = m - 5*o, a*o + 3*o = 5*m - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - l - 629 - 1067 = 0, -3*l - 3392 = -2*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -5, 4, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.2, -1\/155, 0, 0.07, -16?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116034, 0.4, -3, 9, 2, 5 in descending order.\nAnswer: 9, 5, 2, 0.4, -3, -116034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356\/2427 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(-3)\/(-9))\/((-3)\/18). Solve 2*u = -12 + o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3980 by 10.\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 625*b - 739*b)*((0 + 4 - 2)*(1 - 1 + 2) + (6 - 2 + 0)*(0 - 1 + 3)).\nAnswer: -1368*b + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -93749*v**2 - 2*v + 1. Let l be i(1). Let d be l\/((21\/(-144))\/(-7)). What is d rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*z - 510*z + 1016*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let p = -0.031 + 0.431. Which is the second smallest value? (a) j (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/19? (a) 1\/3 (b) 4 (c) -0.58 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a1 + 4?\nAnswer: -39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2065847945 to the nearest integer?\nAnswer: 45452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-5) - 4\/20. Solve -a*p + 4*k = -14, -3*k + k = p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -6. Let f be (1\/t)\/((-3)\/6). Suppose -4*s + f + 19 = 0. What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l + 227. Determine b(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 22. What is the nearest to i in -2\/5, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.905371 litres?\nAnswer: 8905.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9973 (base 15) in base 5?\nAnswer: 2020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 24. Is (0 + (-158)\/l)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2168000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.06, 0.9, -3\/4, -33, -0.06, 0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239466634*t**5 - 27*t**2 - 2201271*t wrt t.\nAnswer: -14367998040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) -657 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5195)\/(-10)*2\/10. Let k = b - 104. Suppose -13 = p + 3*c, c + 4 - 1 = p. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 170752*n**2 - 62093364*n - 5669285832.\nAnswer: -4*(n + 183)**2*(n + 42322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7221 + 7471. What is the greatest common factor of 6625 and n?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 2, -4 in descending order.\nAnswer: 53, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 8 = v, 3*v + 5*l - 7*l + 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94735 is divided by 10038.\nAnswer: 4393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ssssmsbnbdddntsdns?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 214563 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**2*r*z**2 + 2*f**2*z**3 + f**2*z**2 - 2*f**2*z - 2*f*r*z**2 - 1824120*r*z**3 + 35*r*z - 20 wrt z?\nAnswer: 12*f**2 - 10944720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*c + 196, 0*f - 2*c + 360 = 2*f. What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 0*j**4 + j**4 - 4*j**4 - 2*j**4 + 5*j**4 + (0 + 4 - 2)*(-5*j**3 - 2*j**4 + 5*j**3) - 2*j**3 + 2*j**3 - 15*j**4 - 3*j**4 + 3*j**4 + 3*j**4.\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 22. Let k be x(11). Let r(w) = -w**2 - w - 1. Give r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 + 49*f**2 - 96*f**2 + 60*f**3 + 10*f + 47*f**2 to the form i*f**2 + n + c*f + u*f**3 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2*l**5\/5 - 11*l**2\/2 - 185*l - 25. What is the derivative of o(y) wrt y?\nAnswer: -8*y**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28670 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1 + sqrt(539)*-2 + sqrt(539) + sqrt(539) + sqrt(539) - sqrt(539))**2 - (3*sqrt(88)\/sqrt(2))\/(2*sqrt(256))) + -4)*4.\nAnswer: -4 - 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b**4\/7 + 256*b**3\/7 - 136*b**2\/7 - 480*b\/7 - 36\/7 = 0 for b.\nAnswer: -1, -1\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1*14\/525.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 52\/2 + -1. Suppose -3719*v + 16 = -3717*v. Calculate the highest common divisor of q and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276.5 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 75*g**3 - 8*g**2 - 14*g + 1. Let s(o) = -50*o**3 + 6*o**2 + 10*o - 1. Determine -5*l(z) - 7*s(z).\nAnswer: -25*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 + y - 10. Let w(x) = -7*x**2 + 2*x - 6. Determine 2*c(n) - 3*w(n).\nAnswer: 9*n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4764342931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31590 = 641289*c - 641775*c for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 - 46 + 94 + 5*g**2)*(-g**2 + g - g) as w + l*g**3 + u*g**4 + b*g + f*g**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 4*o**3 - 2*o**3 + 9*o**3 - 5*o**3.\nAnswer: 6*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42867.32 kilometers to millimeters.\nAnswer: 42867320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.135 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79583 = -5*f + 2*k, 71*f - 75*f = 2*k - 63670. What is the greatest common factor of f and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2*(-4 - -129). Suppose 2*d + g + 0*g - f = 0, 4 = -g. Suppose -6*k = -d - 957. List the prime factors of k.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 651253235727.26.\nAnswer: 651253235724.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 4 + 4)*(1 + 2 - 1)*(1 + 0 - 3)*(4 - 35 - 33).\nAnswer: -512*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d = 158*d - 3*s - 315, 6*d - 5*s = d - 45 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0137+-3051668\nAnswer: -3051668.0137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3409888 and 855071.\nAnswer: 2599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 6*n**2 - 5*n + 1. Let r be i(-4). Is (-383)\/r - (60\/(-55))\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -16*u + 13. Put -4, -6, -3, u in ascending order.\nAnswer: -6, -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500.5498mg to nanograms.\nAnswer: 500549800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 520 - -251. Find the first derivative of -m*t + 524*t + 7 + 27 wrt t.\nAnswer: -247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5758*u**4 - 20400*u**3 + 1172155800*u**2 wrt u.\nAnswer: 138192*u - 122400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j**2 - 4*j + 5*j**2 - 2*j. Let t(y) = -y**2 - y. Let i(l) = -6*t(l) + z(l). Let v(g) = -13*g. Determine v(i(b)).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 - 1)\/((-2)\/(-108)). Suppose p + 10 = 2*p. Let s be z\/p + 5\/(-25). Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/6 - 564065*o\/2 - 1692185\/3.\nAnswer: -5*(o + 2)*(o + 338437)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -10 - 18. Solve -1 = -l - s, 2*s = -2*l - t*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/4)\/(6\/4). Suppose -b - 25 = -5*r, -45*b = 4*r - 43*b - 6. Solve 2*j + m = -4*i, 2*j + r*i = i - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and (2\/(-3))\/(-1 - 142\/(-102)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, n: 3}. What is prob of picking 1 z and 2 n?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*k**2 + 75*k**2 - 45*k**2)*(3 - 3 - k**2) - 4 + 3 + 3 - k**4 in the form j*k**4 + l + m*k + z*k**2 + i*k**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1227*f**2 - 377920*f - 1244. Give g(-308).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-2244)\/(-12672). Suppose -2*g + 14 = -2*u - 4*g, -4*u - g = 13. Sort u, a, 0.3.\nAnswer: u, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.843 + 7.9. Round k to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*t - 4*c + 40, -5*t + 101 = -3*c. Let y(p) = 21 + t + 5*p + 23 - 61. Let n(g) = -9*g - 4. Calculate 3*n(v) + 5*y(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1\/7))**(-48) assuming u is positive.\nAnswer: u**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*t + 61*t - 5205 - 7691 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*u + 1 - 1 - 2*u**3 + 202*u.\nAnswer: -2*u**3 + 158*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i + 50 = 0. Suppose 0 = x + 5 - i. Solve -4*d + j + 16 = 0, d + 2*d = -x*j + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3115 + 2?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 135009058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 3960868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -4 + (0 - -2))*2. Let n be (-4)\/30 + (7 - x) + -3. Put n, 10, 0.3 in decreasing order.\nAnswer: 10, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 290, 1\/6, 14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -105378*n. Let z(g) = 2*g. Determine u(z(q)).\nAnswer: -210756*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107 and 3.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316\/185 - 4\/37. Let d(u) be the first derivative of 2*u**6 + 0*u**3 - r*u**5 + 0*u**2 + 0*u + 0*u**4 + 1. Factor d(k).\nAnswer: 4*k**4*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 - 161. Solve 5*c + 23 = l*r, -3*c - 3*r = -0*c + 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + 7*n**2 - 14*n - 60. Let f be z(-5). Calculate the highest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d = -30*d + b, -2*d + 14 = 4*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/84 - 3\/7)\/((-19659)\/(-131060))\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19018164\/139 at most as big as 136822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*v - 8, 22*j + v = 8*j + 13*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.68 - 0.08. Let k be (26\/(-8) - -3)*-12. Which is the nearest to 2\/5? (a) u (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 2440797699.7.\nAnswer: 2440797699.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 642348 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 13*a**2 - 21*a**2)*(-a + 1 - 1).\nAnswer: 8*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (0 - (1 - 2)). Let i(n) = 0*n - 11*n**2 + 9*n**2 + n + n**2. What is i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 69*w**2 - 8*w + 7. Let d be v(5). Suppose m + c = d, 5*c + 5 = 10. Suppose 5*n = 25, 0 = j + 2*n - m - 419. What is j rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 770. Let g(r) = r. Calculate l(g(j)).\nAnswer: j**2 - 770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 902\/1476*(-3)\/1*6\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -69. Suppose 3 = -2*k + 7. Let t be (-1)\/(((-2)\/k)\/2). Solve q*j = 8, -2*j = t*y - 6*y + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/3, 0.16, -0.1, 65 in increasing order.\nAnswer: -0.1, 0.16, 2\/3, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129.86 - -133.86. Let o be (-9)\/(-12)*1\/3. Let w = 394\/273 - 20\/13. What is the third biggest value in a, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1280811*l**3 + 2265825*l**2?\nAnswer: -7684866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/10*(-7 + 3033 + 12) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 28*o**2 - 55*o - 10. Is g(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c + 7 - 51*c - 2 - 2*c - 5.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, w: 1, z: 3, p: 4, v: 1}. What is prob of sequence zv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/18 - 15364\/(-24048).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let p(o) = -9*o + 1. Give n(p(g)).\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 42. Let x(z) = 7*z - 2. Let v be x(a). Solve -3*g - 2*s = -s - 11, 0 = 5*g + v*s - 25 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i**2 + 243*i**2 + 50*i**2 + (4*i**2 - i**2 - 4*i**2)*(2 - 2 + 1) + i**2 - 2*i**2 - i**2 in the form u*i + w*i**2 + x and give w.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -15 - (9 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 54*l + 35. Let i be x(5). Let c = i + -167. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200, 405, 608, 809, 1008?\n\"Answer: -j**2 + 208*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 36*y**5\/5 + 384*y**4\/5 - 3011*y**3\/5 + 971*y**2\/5 - 16*y = 0.\nAnswer: -16, 0, 1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 13, 5 in ascending order.\nAnswer: -5, 0.2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 10. Determine p(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, o: 2, y: 3, z: 2, x: 4}. Give prob of picking 1 z and 1 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x - 2. Let s(j) = -j**3 + j**2 + 4. Let p be s(2). Let f = p + 4. Let z be (-33)\/(-12) + 1\/f. What is h(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1235*y + 7 - 1237*y - 1244*y - 1234*y + 4947*y + y**2 as k*y + g*y**2 + i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-10))\/(-3) + (50242192\/110)\/26.\nAnswer: 11, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44608)\/(-156030) - (-2)\/(-7). Let t = -1058803\/156030 + x. What is the common denominator of t and 65\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-4)\/(-4))\/((-2342)\/24591)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1393, -5536, -12447, -22132, -34597, -49848, -67891, -88732?\nAnswer: -112377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -162.5. Let p = -2 + 3. Let t = p + n. Which is the third smallest value? (a) 3\/2 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**7\/1365 - x**6\/39 - 5*x**5\/13 - 125*x**4\/39 - 625*x**3\/39 - 13*x**2. Factor i(w).\nAnswer: -2*(w + 5)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*g + 4. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, i: 2, g: 4, w: 4}. What is prob of sequence mgwi?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -144, -97, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 2812*g + 5608.\nAnswer: 4*(g + 2)*(g + 701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224578716 by -7932.\nAnswer: 28313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/53 or -2763?\nAnswer: -2763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + i**2 + (5*i + i - 2*i + 0*i + 0*i - 2*i + (-2 - 1 + 1)*(-6*i + 2*i + i))*(5*i - 17*i + 68*i) as u + x*i**2 + c*i and give x.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, o: 1, a: 4, x: 2, y: 4}. What is prob of sequence oaa?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 3, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:30 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 81\/(-273) + (-6)\/(-42). Which is the closest to 1? (a) 0.4 (b) h (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/79 - -75\/158. Let l(n) = -n**2 - 7*n - 1. Let a be l(-7). Let c be (4\/6)\/(2 + a). What is the nearest to c in 4, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -679 - -679.572. Let r = -0.428 - f. What is the second smallest value in r, 2.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 196 - 327 - 2170*c.\nAnswer: -2170*c - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -148\/11? (a) -4 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (671*k - 375*k - 350*k)*(-2*k - k + 4*k)*(-15 + k + 15).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z - 315 - 5 = -1673 - 571 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + q**3 + q**2 + q**2 + 2*q**3 - 2*q**3 as u*q + d + s*q**3 + i*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:27 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(15\/9 - 1). Let g = d + 5. Suppose -4*c = -20, 0*l + 2*c - 14 = -4*l. What is the highest common divisor of l and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/12 (b) -3\/7 (c) 0 (d) -0.4 (e) -1\/214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -77*v. Let k(f) = 698301*f. What is k(g(c))?\nAnswer: -53769177*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 386.792 nanometers?\nAnswer: 0.000000000386792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -39.5. Let l = y - -42.5. Let d = l - 3.7. Is d at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 307446788 to the power of 1\/2, to the nearest integer?\nAnswer: 17534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -205*t - 568. Calculate n(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 433016 and 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356149379.\nAnswer: 356149379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 plus -685?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - w**3 - 2*w**3)*(3 - 1 - 5) + 4*w - w**3 - 4*w - 2*w**2.\nAnswer: -7*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162969524 to the nearest integer?\nAnswer: 12766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320380*s = 320414*s + 952 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from ikfifl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 503*h**3 - 122*h + 127*h - 505*h**3 + 18. Let z(g) = -g**3 + g - 1. Determine -y(b) + 5*z(b).\nAnswer: -3*b**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/2)\/(h**(-13)\/h)*(h**2)**47)**(4\/9) assuming h is positive.\nAnswer: h**(418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = c, 0*w + 3*w - 4 = c. Let l(q) = 5*q - 8 - 14*q - 1 + 3*q**w. Is l(7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*u + 210, -226*k + 222*k + 5*u = -410. What is the lowest common multiple of 64 and k?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1780 - -381. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647 + 647 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 16125, 4.\nAnswer: 4, 5, 12, 16125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281529 is divided by 470.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 307.\nAnswer: -3\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 5*l**2 - 6*l + 6. Let v be c(6). Let y(u) = u**2 - 37*u + 66. Let t be y(35). Let r be v\/(-2)*(-1)\/t. Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/3 + 2*w**5\/5 - w**4 + 715. Factor v(g).\nAnswer: 2*g**3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 833867 and 11653.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25\/3 (b) 6339.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -18695915.58.\nAnswer: 18695916.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.2. Let l = 1.066 - 1.466. Let g = -3.08 - -0.08. What is the nearest to p in g, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 + 5*q**2)*(-162 + 87 - 94).\nAnswer: -845*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -20. What is the remainder when 26 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**(-6\/13))**(-10) assuming f is positive.\nAnswer: f**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 52. What is the hundreds digit of (-8)\/64*-1255 + (-1)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b**2 + 1475*b + 1138. Calculate y(71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 10*f + 2*f - 4 + (f - 12*f - 2 + 7*f)*(-6 + 1 - 1) as p*f + g and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -1412, -1626, -1840, -2054?\nAnswer: -2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5805 + -5721. What is the least common multiple of 756 and l?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 84 = -5*d. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/4))\/a)**(1\/15)*a**(-6)*a**(-7)\/a)\/((a**4\/a)\/a**(-6\/7)*((a*(a*a**5*a)\/a)\/a)\/(a\/(a**(-2\/5)*a*a))) assuming a is positive.\nAnswer: a**(-2053\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - r**2 + r + 2 - r. Let m be a(4). Does 19 divide (57\/m)\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -80, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + -11 + (5 - (-19 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55009417?\nAnswer: 37, 59, 113, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/64*(-1522)\/2283?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1396?\nAnswer: 9772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.820384 microseconds to hours.\nAnswer: 0.00000000828344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -3 (c) -3\/47 (d) -0.096 (e) 24 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1*sqrt(13) - sqrt(13)) + 5 + 1)*-2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8488 = 3771*a + 46198 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24884, -24886, -24888, -24890, -24892?\nAnswer: -24894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 3*l**2 + 2*l - 2. Let f be r(2). Let m = f + 16. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-149)\/(-7))\/((-14)\/(-98)). Solve -14 = 147*r - d*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 66*b**3 - 296*b**2 + 456*b - 224.\nAnswer: -2*(b - 28)*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 + 2*o**2)*(1 + 2*o**2 - 1) - o + o - 2*o**4 + 4*o**4 + 2*o**4 - 4*o**4 + (2*o**2 + 2 - 2)*(-3 - 11*o**2 + 3).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2783 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6089 + -6069 + (-5 - -3) + 1 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -29. Let h = u - -2.2. Sort h, 5, 0 in descending order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -499 - -504. Put -4, r, 16 in descending order.\nAnswer: 16, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/18 - 10\/(-4). Find the second derivative of g*p + 337*p**4 - 337*p**4 + 9 + 22*p**5 wrt p.\nAnswer: 440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 5*k**2 + 7*k - 4*k - k**3. Let z = 14 + -20. Calculate t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*v**2 - 2*g**2*v*w**3 + 101*g**2*w**2 + 97*g*v**2*w**3 - g*v**2*w**2 + 21*g*v*w**3 wrt g?\nAnswer: -6*v**2 - 4*v*w**3 + 202*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55536 divided by 18512.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4526 and 238297.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 1\/3*v**2 + 0.\nAnswer: -v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - 0 - (14 + (-25 - -14))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.427 + 271.573. Sort 0, u, 1\/5.\nAnswer: 0, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 1. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -548 - -370. Let d = 8 + -31. Is d\/6*u + (-24)\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {s: 1, p: 2, k: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28 - -50)\/(0 + 2). Suppose 20*h - 26877 = -r*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -s - y = 3 + 3, 4*y + 6 = 2*s. Sort q, s, -4 in increasing order.\nAnswer: -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - 102b?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2179*v**3 - 5*v + 3*v + 2*v - 2204*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -478, -460, -424, -364, -274, -148, 20?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3903201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73697?\nAnswer: 13, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:28 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -32. Solve -j + 2*t = s, -2*j - j + 4 = 4*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3395462 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p**3\/9 - 206234*p**2\/9 - 268166*p\/9 + 288764\/9 = 0 for p.\nAnswer: -2, 7\/10, 10313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 5668873.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00148206 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b - 25. Let f be z(3). Let j(i) = -24*i**f + 21*i**2 + 46*i**2. Let h(n) = -4*n. What is h(j(c))?\nAnswer: -172*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3523, -4039, -4905, -6127, -7711, -9663, -11989, -14695?\n\"Answer: -h**3 - 169*h**2 - 2*h - 3351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 16*i - 67. Let o be (((-20)\/55)\/2)\/1. Which is the closest to 1\/2? (a) -3 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3147*h - q + 51 = -3145*h, -2*h + 23 = 5*q. Suppose v + 497 = z, 2*z - 5*v + 9 = 1015. What is the greatest common factor of z and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-18)*((-171)\/114)\/((-25)\/(-230))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - u)*(0 + 2 - 1) - u - 4*u + 3*u - 11*u + 5*u + 14*u - 5 to f*u + x and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -205*t**4\/24 + 24*t**2 - 14*t - 4. Let r(j) = 47*j**2. Calculate s(r(x)).\nAnswer: -9635*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from bllhlllhll.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10*(-3)\/4*-6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/770410 and -27\/616328?\nAnswer: 3081640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/76542 and 121\/120?\nAnswer: 1530840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-105)\/(-10))\/(-7))\/6*0. Suppose 0 = 2*h - 4*k - 8, r = h - 0*k - 4*k - 2. What is the smallest common multiple of h and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106174?\nAnswer: 2, 61, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/107597 and -29\/5.\nAnswer: 537985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/3 + 502*d**2\/3 - 168*d = 0 for d.\nAnswer: -252, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -12, -12, 4, 42, 108, 208, 348?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*(-89 + 96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -67*t + 35. Let o(c) = c**2. Determine o(f(p)).\nAnswer: 4489*p**2 - 4690*p + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*w + (4 - 4 + 2)*(0*w + 3*w - w) + 4*w + 3*w - 5*w - 2 + 2 + 2*w - 4*w + 2*w + 4*w + 9 + 9 + 1 + 2*w)*(50 + 84 + 27)*(-2*w + 1 - 1).\nAnswer: -3220*w**2 - 6118*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109 and 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265370983?\nAnswer: 41, 6472463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 5*k - 4. Let i(n) = -n - 13. Let b be i(-9). Let g be l(b). Let y be (-3)\/7 + 2 - 1. What is the biggest value in g, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27603, 55206, 82809?\n\"Answer: 27603*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*g - 79 - 20, 3*g = 5*v + 53. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -322\/5. Let m be (-2 - 76\/(-36))*-3. Let w(f) = f**2 - f + 1. Let d be w(1). Which is the closest to d? (a) 0 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4 and 117\/1630.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-2\/7)\/k)\/k*k*k**(-1\/3))**11 assuming k is positive.\nAnswer: k**(-143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 4*h + 3*h**2 + 2\/3*h**3 + 1. Let t(o) = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5 + sqrt(17) + -1 - -1*(sqrt(17) + 1)))**2 - ((sqrt(459)*2)\/sqrt(9) - sqrt(51))\/(-2*sqrt(243)).\nAnswer: 289*sqrt(17)\/18 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 3*o**5\/10 - o**4\/8 - 14*o**2. Let r(q) = -6*q - 44. Let b(p) = 2*p + 16. Let x(l) = -11*b(l) - 4*r(l). Give f(x(w)).\nAnswer: 72*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (25 + 15 + (-25 - -2) - 19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -d - 2. Let o = 30 - 54. Let r = 23 + o. What is the third smallest value in d, 0, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17513805 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194875101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 32*a = -28. Suppose p - 5 = -0*p. What is the least common multiple of p and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002031423261 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*j = 37 - 46, 2*j + 12 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 36. Suppose -3*l + 129 = -c*m, -2*l - 2*l + 151 = 3*m. Is 5\/(l\/11716) - 2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 4. Let q(p) = -2*p + 10426. What is t(q(o))?\nAnswer: -10*o + 52126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35 - 1) + 4\/2. Suppose 5*w + 2 = -5*q + 47, -4*w = q - f. Let h be (16\/(-10))\/(4\/(-20)). Are h and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/9 (c) 0 (d) -215 (e) 0.2 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60420 and 3335184.\nAnswer: 16675920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*c - 17, 0*q + q = c + 5. Put -2, c, -1\/7 in decreasing order.\nAnswer: -1\/7, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - -2)) + -1 + (-6 - 15).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1732730, -1732577, -1732424, -1732271, -1732118, -1731965?\n\"Answer: 153*p - 1732883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71455*m**5 - 3*m**4 + 11*m**3 + 46779329*m**2 wrt m?\nAnswer: -4287300*m**2 - 72*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 99758391 divided by -99758391\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**6)\/(i**(-1)*i)*(i*i**(-2\/11)*i)**11 assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -233, -382?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131360091 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o*o**5)*o**(-2\/7)*o assuming o is positive.\nAnswer: o**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 13*u - 3*u. Let d(k) be the second derivative of k**4\/6 - 64*k. Determine o(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**4 + 152*p**3 + 413*p**2 + 266*p. Let d(t) = 11*t**4 + 153*t**3 + 412*t**2 + 264*t. Let h(z) = -2*d(z) + 3*y(z). Find x such that h(x) = 0.\nAnswer: -27, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 522.065687 + -519.34863269. Let j = -0.28294549 - y. Let h = j - -3. What is h rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49202984.\nAnswer: 2, 47, 130859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -833*a**3 - 31*a**3 - 22*a - 266*a - 131*a**3 wrt a.\nAnswer: -5970*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923958.\nAnswer: 2, 1461979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464270482 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -9 - -22 - 35) + 12 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i - 5 = 0. Suppose -25 = u + 5*b, 3*u + u + 32 = -3*b. Let g = i - u. Solve -h + 2*d - 1 = g, 3*h + 1 = -2*d - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -20*t**2 + 66*t + 183. Determine v(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 6. Let v = 1198 + -1195. What is b(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-1066)\/(-39)) + 2 + (-5)\/3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onhowooohhwphqwo. Give prob of picking 1 w, 1 q, and 1 n.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 15 = 3*d, 0 = -x - 0*x + 3*d - 15. Let t = -25 - -14. Let f = 22 + t. Solve x = 3*j - f + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/(-920))\/((-18)\/(-15))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 + 0)\/(-15 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-11 + 33 + -19)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (583*k + 361*k - 38*k + 367*k + 180*k)*(-5 + 5 - 1) to the form d + c*k and give c.\nAnswer: -1453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 + 8*b**2 + 32*b - 2. Let l = 1190 + -1205. What is the remainder when 32 is divided by s(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341.46806 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - (33 - (-4 + 18 + 27))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125350507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 1. Calculate l(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4))**(-26)*((v\/v**0)\/v)**(-4))**38 assuming v is positive.\nAnswer: v**741","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656763299.\nAnswer: 656763299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvdty. Give prob of picking 1 d, 1 v, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/45, -5, 5?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3247)\/(-2) + (-18)\/12)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.3*77686\nAnswer: -2276199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24*(12\/9 + (-6)\/(-18)). Is (g - 1)\/(1 - (-24)\/(-20)) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.43, -3.4, -4\/11, -2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4197 - 33533\/8. Let u = 317\/56 - v. Is -11 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-45) - (-10)\/(-15)) + 1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690644 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/15 - 38*l\/15 - 644\/5 = 0?\nAnswer: -23, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1665*y + 4. Let n be b(-2). Suppose 0 = -h - 932 + n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (65\/26)\/((-1)\/(-2)). Solve 9 = z + p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 9. Let h be z(14). Suppose 4*x - 3*v - 41 = -0*v, h*v = 2*x - 3. Solve 0 = -2*g + x - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 3, v: 1}. What is prob of picking 2 m and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037 times -147.887?\nAnswer: -0.5471819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31099, 124437, 280009, 497821, 777879, 1120189, 1524757, 1991589?\nAnswer: 2520691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -115. Let s = -1 - -1. Which is the third biggest value? (a) s (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 11597145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 44 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g + 18*g - 3*p + 28, 2*p - 2 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/3 + 103\/12. Let z = 19 + -93\/5. What is the nearest to z in q, 2\/5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -119*k**3 + 18*k**2 - 9011*k. Let w(b) = 361*b**3 - 56*b**2 + 27034*b. Let u(l) = -19*f(l) - 6*w(l). What is the second derivative of u(q) wrt q?\nAnswer: 570*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27511266 - o**2 + 12*o**2 + 7*o + 11*o + 27511266 - 18*o.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 34\/60 + 34\/(-51).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 761, 829, 899, 971, 1045, 1121?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/20 + x**4\/4 - x**3\/6 + x**2 + 2*x. Suppose j = 4, -5*a = -3*a - j. Let o be w(a). Solve o*g = -0*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from sffftsemfmnstsf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen ninths of a hour in seconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -5. Let a = i + -4. Let y = a - 0.7. What is the closest to y in -4\/7, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*15\/(-50)*(-20)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/191 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324 by 30758.\nAnswer: 162\/15379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1174740 by -5.\nAnswer: 234948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 + 18)\/((-4)\/(-14)). Let h(b) = b**2 - b - 1. Let i(o) = -6*o**2 + 3*o + 4. Let v(n) = -15*h(n) - 3*i(n). What is the units digit of v(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -176*m + 3161. Give u(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 15*a**2 + 35*a - 11. Determine b(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1132 + 1132. Let u(a) be the third derivative of 2\/165*a**5 + 0*a - 3*a**2 + 2\/33*a**3 + 5\/132*a**4 + o + 1\/660*a**6. Solve u(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = y, -d - 4 = -14*y + 16*y. Let g(p) be the second derivative of -32*p**2 + 16\/3*p**3 - 1\/3*p**4 + y + 7*p. Factor g(q).\nAnswer: -4*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*i + 3*n, -225*i - n + 5 = -223*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from {u: 7, v: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(40\/(-12)) - (-38)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044004 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and 891?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 8*d = 17, -10909*b + 10914*b = 2*d - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 + 5*k + 20*k**3 - 1872*k**2 - 5*k**3 - 3*k.\nAnswer: -2*k**3 - 1872*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(3\/5)\/d)\/d)\/d)**21)**(-18)*(d**(-1\/5)\/(d*d**8))**35 assuming d is positive.\nAnswer: d**(2926\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Suppose 5*t = 2*s + 19, -f*s = 3*t + 2*t - 31. Suppose -126 = -t*h - 36. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1347, 1328, 1311, 1296, 1283?\n\"Answer: k**2 - 22*k + 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 7. Let c be k(19). What is the highest common divisor of c and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*q - 523*q = -489*q - 26910 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*m - 55*m + 13*m)*(26 + 1 + 3).\nAnswer: -2790*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 10*d - 23. Let g be n(-5). Solve 0 = -5*j + 10, g*j - 22 = -4*b - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/5670 and -139\/24570.\nAnswer: 73710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62423, 124905, 187381, 249851?\n\"Answer: -3*q**2 + 62491*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyqqiyqyyqyqiiqryyi. What is prob of picking 2 q and 1 r?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20, -1322\/51, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23446184 and -0.15.\nAnswer: 3516927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9))**(-10)*f\/f**(-2\/9)*(f*(f\/f**(5\/6)*f)\/f*f)\/f assuming f is positive.\nAnswer: f**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -2, -0.3, 0.5, -56529?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.8 and -6.9.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1255*o**2 + 928*o**2 - o - 1 - 188*o**2 - 218*o**2. Is w(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17510 * 0.13953\nAnswer: -2443.1703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5037785, 10075496, 15113205, 20150912, 25188617, 30226320, 35264021?\nAnswer: 40301720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/156 - ((-189)\/13)\/3. Solve -j*y - 6 = -2*w, w = -2*y - w - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3 - 3)*(3*y + 3*y - 1 - 3*y) + 2*y**2 - 12*y**2 - y**2.\nAnswer: -26*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -25. Let l be 3*7*a\/6. Suppose l - 98 = -6*x. What is the remainder when 26 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let l(b) = -1854*b + 1091*b - 1368*b. Determine r(l(c)).\nAnswer: -2131*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -4*o - 3*g, 4*g = -g + 5. Suppose 9 + o = 9*k. Let x(s) = s**3 - 2*s**2 - 7*s - 1. Does 13 divide x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*m - 23 - 1, -m = 5*j + 18. Let v(l) = -l + 7*l**2 + l - 4*l**m. Let q(p) = -5*p**2. Give q(v(x)).\nAnswer: -45*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 3*j + 2, -2*j + 6 = 0. Suppose -c = -z - 6*c + 16, 0 = v*z - 3*c + 4. Let h = 25025\/3 - 8341. Which is greater: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 298, 303, 318, 343?\n\"Answer: 5*y**2 - 10*y + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -493.87 rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98237*o**2 - 294712*o**2 + 98238*o**2 + 98235*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from uwvuwuwuwwuwwuuuw?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475612 is divided by 1237774.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-27))\/(4\/(-6)) + 2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q - 10*q + 87. Solve -u + 0*r - 16 = q*r, -u - 12 = 2*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 27*o + 125 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 15008*c - 30000.\nAnswer: -4*(c + 2)*(c + 3750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 67870311\nAnswer: 2\/67870311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.54867 months?\nAnswer: 0.0457225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*u**2 - u**6 - 8*u**3 - 12*u**2 - 14*u**3 - u**3 wrt u?\nAnswer: -120*u**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 9*z**2 - 3*z + 2. Let m(p) = -2*p**3 + 17*p**2 + 5*p - 5. What is 5*b(n) + 3*m(n)?\nAnswer: -n**3 + 6*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*n - 3345 + 3662 - 3003 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*t + 19, 4*t - t = 5*i + 20. Solve -4 = -5*u + 5*d + 1, 5*d + t = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -78, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**8\/84 + x**6\/10 + 2*x**5\/15 - 18*x**2. Suppose k(h) = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -15*f + 4*f + 50 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (540\/(-16))\/(5\/20). Let z = 228 + p. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 + d**2 - 1. Let f be i(1). Let n = -1 + f. Suppose 0 = -5*w - n + 42. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512820?\nAnswer: 2, 3, 5, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*a = -24 - 24, 398*j - 396*j - 16*a + 12*a = 54 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 4*m. Let f be l(-2). Suppose -81*n + 74*n = -f. Solve -n*s = -2*g + 30, -g + 3*s + 10 = 2*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j + 73. Let y be s(6). Let g = 181 - y. Solve -3*h + 6 = 2*h - 3*p, 0 = 2*h + 4*p - g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5234140184 to the power of 1\/3, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 187229960 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17472*w - 17468*w - 148 = -2*d, -d + 4*w - 148 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2 - 3261*y - 3258 = 0. What is y?\nAnswer: -1086, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320780 by 5.\nAnswer: 64156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = 3*m - 20, 0 = 5*f - m - 15. Is 1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/11 and (2\/(-7))\/((-8)\/(-236))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61926929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3001.3 + 3033.3. What is the biggest value in 5, -4, -8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-3))\/(68\/102). Let l be 3 + m + 728\/133. Is l < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2.9983481\nAnswer: 1.19933924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -133003 (base 4) to base 15\nAnswer: -8c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 3b6bc9?\nAnswer: 3b6c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.028 - 3.972. Let f = 9 + b. What is the closest to 0 in f, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-48)*215392\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.81 (c) -4 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37217 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: Which is the nearest to -0.3? (a) -2 (b) 17\/4 (c) -0.1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -935.5 + 936. What is the closest to -5\/6 in c, 1, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/253884778 + -512149069372\/241571366267. Let v = -50\/173 + i. Find the common denominator of 23\/20 and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1197*i - 46. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45364937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2. Let p(l) = -2*l**2 - 144. Calculate p(y(a)).\nAnswer: -18*a**4 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2091, 8468, 19173, 34212, 53591?\n\"Answer: v**3 + 2158*v**2 - 104*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d**2 + 46*d**2 + 2*d**2)*(3 + 0 - 2).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgugutruturu. What is prob of picking 1 g, 2 t, and 1 u?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -37*g**3 + 32*g**3 + 60*g + 150*g**2 + 21*g**2 + 48 - 228*g + 6*g**4 - 52*g**3 = 0.\nAnswer: 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 + 2*h - 5. Let j be k(4). Let a be 35\/j - 8\/(-24). Suppose -8 + a = d. Solve -p - d*p + 15 = 0, -2*t + 11 = p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5510 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, e: 2, q: 1}. Give prob of sequence eq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u - 10. Let w be r(6). Let b be 3\/6 - w\/48. Let n = -1\/3 + b. Is n less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13503268?\nAnswer: 2, 41, 137, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - 4*b**2 - 6*b**3 + (b**3 + 4 - 4)*(0 + 2 - 1) - 2*b**2 + 2*b**2 + b**3 - 272*b**3 + 1141343 - 1141343 to l*b**3 + v*b + n + h*b**2 and give l.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/8)\/((-9)\/24). Solve -i*d - 3*h + 26 = 0, 3*h + 4 = -d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (7 - (-3 + (14 - 8)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21631314*q**2 + 2*q + 147515101.\nAnswer: 43262628*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 18*l + 1\/20*l**5 + 0 + l**3 + 7\/12*l**4 + l**2. Does 11 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/12 + d**3 + 21*d**2 + 2. Let u(a) = -5*a**2. Calculate u(s(v)).\nAnswer: -20*v**2 - 120*v - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10408 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**3 - 1\/84*v**7 + 0*v**6 + 0*v**2 + 1\/40*v**5 + 0*v**4 + 11*v + 0. Factor m(r).\nAnswer: -r**3*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*((-186)\/(-18) - 9). Let d(q) = 6*q + 147. Let b be d(z). Solve 0 = -4*k + 2*c - 16, 0*k - 4 = k + b*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363020 (base 7) in base 3?\nAnswer: 10100100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 6*t**2 - 36*t + 11. Determine k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q - 15. What is j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 2*j**2 + 4*j + 1122. Is 102 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, 45, -1 in descending order.\nAnswer: 45, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271454.\nAnswer: 2, 135727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + 0\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 93, 37, -19, -75, -131, -187?\n\"Answer: -56*a + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101 - -100?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/108639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(31\/186).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 12*n**5\/5 - 4*n**4 + 205*n**2 - 412. What is the second derivative of s(l) wrt l?\nAnswer: 144*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*u + 18. Let h(z) be the first derivative of z**3\/3 - 2*z**2 + 3*z + 1. Let q be h(u). Solve 2*s - 1 = k + 5*s, q = -2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -1\/4, -2, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.939 and -1.\nAnswer: -2.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -22570092*r**2\/5 + 6*r\/5 = 0.\nAnswer: 0, 1\/3761682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*q - 18, -3*q = -18. Solve -5*i + 11 = 2*m, 3*i + z = 3*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105*h**2 - 1713*h**2 + 43*h**2)*(-h**2 - 3*h**2 + 6*h**2) to the form y*h**2 + c*h**3 + d + u*h + i*h**4 and give i.\nAnswer: -3550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(8) + (sqrt(72) + sqrt(8) - sqrt(8)) - sqrt(8))*-3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562.863 hours in minutes?\nAnswer: 453771.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-55))\/(2\/5*4\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 7, 25, 51, 85, 127?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19980000 to the nearest 100000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8915971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*b - 191*b - 1, -p + 15 = -15*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-225))\/((-9)\/(-45))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 51?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -299 in increasing order.\nAnswer: -299, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-45 + 62 + (5 - 1) + -8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, -9, -3\/22, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 4*f + 6. Let z be a(6). Let m be (-266)\/z + 5\/(-15). Suppose m = 5*r - r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 1. Let j = m - -36. Let t = -29.5 + j. What is the smallest value in -0.1, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286\/(-66) - (-5)\/((-40)\/(-32)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0.2, 15269, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -37.8. Let h = q - 1.8. Let o = -3 - h. What is the closest to -1\/4 in -1, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29.5921 weeks?\nAnswer: 17897302080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19174557 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.97 + 1. Let k = 0.23 - j. Put -0.2, -2\/3, k in increasing order.\nAnswer: -2\/3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((1 - 6) + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 5, 3\/4, 4, -145?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, p: 15}. What is prob of sequence qpp?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:01 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by -34.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*i**2 - 5*i**2 + 9*i**2)*(-6 - 10*i + 6)*(-1 + 1 + 2*i)*(-15 + 3 - 3) as b*i**4 + w*i**2 + x + n*i**3 + y*i and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6072?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5015376 is divided by 4204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2548800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2\/5 (c) 4\/7 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:51 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*x + 0)*(1 - 2 + 0) + 5*x - 4*x + x + (0*x + 2*x + 0*x)*(-2 + 3 - 3) + 38 - 8*x - 38.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (10\/6 - 0). Let p = -432332 - -432331.8. Let h = 0.1 - 0.1. What is the third biggest value in h, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 59 + 103 - 208 - 20*k + 61. What is g(-3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*v**2 + 23\/3*v + 112\/3.\nAnswer: (v + 7)*(v + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4838976 and -140993.\nAnswer: 4697983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 40 = -29*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i + 1129. Let m(v) = -v**2. What is c(m(q))?\nAnswer: 9*q**2 + 1129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -113, 4, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 4*x**2 - 1 + 5*x**2 - 2*x - 8*x**2. Let k be r(3). Solve -3 = k*l + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -984556, -984793, -985030?\n\"Answer: -237*w - 984319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -z + 8, -10*z = -3*m - 14*z - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyb when three letters picked without replacement from byybyyyyyb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275*m*q*u**2 - 318*m*u**2 - 74*m*u - 5032*m + 4*q*u**2 + 4*q - u**2 wrt u?\nAnswer: -550*m*q - 636*m + 8*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**3 + 56*x**2 + 3*x - 7. Give d(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 24 = -101. Calculate the remainder when i + (-2)\/((-4)\/2) is divided by 2\/(-5) - (-94)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*m - 3*m**2 - 44*m + (-2 - 4 + 8)*(4*m**2 + m**2 - 4*m**2) + 2*m**2 + 0*m**2 + m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + a = 3, 0 = -16*a + 12*a - 34 - 18. Suppose -2*t = 2*t + 16. Sort t, h, -6 in ascending order.\nAnswer: -6, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11020, -11057, -11096, -11137, -11180, -11225?\nAnswer: -11272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 54, 51, 46, 39?\n\"Answer: -j**2 + 2*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 5*t**3 - 7*t**2\/2 + 9*t + 13. Calculate the least common multiple of i(2) and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add -219 and -9825398.\nAnswer: -9825617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4\/7 (b) 2\/13 (c) 57 (d) 9\/679\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 2*x**3 + 6*x**2 - 2*x - 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 7*d + 2. Let b be f(7). Suppose 0 = b*v + 2*y - 108, -4*v + 2*v + y = -114. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v**2 + 57*v + 7. Let z(u) = 14*u**2 + 58*u + 8. Give -6*o(f) + 5*z(f).\nAnswer: -2*f**2 - 52*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(15\/(-405))*3\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**6\/20 - p**5\/20 + 5*p**4\/24 + 4*p**3\/3 + 7*p**2 + 13. Let q(d) = -4*d**3 + 2*d**2 - 3*d - 5. Calculate -5*k(a) - 8*q(a).\nAnswer: 2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 35194?\nAnswer: 35218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48794, -188674, -421808, -748196?\nAnswer: -1167838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/18 - -71\/90. Suppose 0 = -17*l + 55*l - 79990. Suppose 2102*p = l*p. Which is the closest to p? (a) -1 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5962 (base 10) in base 3?\nAnswer: -22011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/4))**31*(g\/g**(-1))**(3\/7)*((g**(2\/5))**(-7\/4))**(-4) assuming g is positive.\nAnswer: g**(3767\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.24 rounded to 0 dps?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(900) - (sqrt(900) + -5*sqrt(900)))*4)\/(sqrt(3) - (sqrt(27)*-1)\/sqrt(9) - -2*sqrt(147)).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1260 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 6, 5, 10 in decreasing order.\nAnswer: 10, 6, 5, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88\/14 - (-4)\/(-14). Let b be (2 - 0 - 9\/4)*-2792. Let j = b - 656. What is the highest common divisor of j and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 8*p + 12*p + 8 - 19.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -57*t**2 + t + 1. Suppose s + 4*a + 13 = 0, -5*s - 2 = -a - 0. Let y be o(s). Is ((-4)\/6)\/(1\/y) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h. Let o be i(0). Suppose o = 2*p + 2. Is 13 a factor of (p + 0)*(1 - 14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let r(a) = -354290810*a. Give r(v(i)).\nAnswer: 708581620*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -4*n**5\/15 - 13*n**3\/6 + 5*n**2. Differentiate z(k) with respect to k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*p - 19, -318*n + 5*p + 9 = -317*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434126674 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2209 + -1320. Suppose -v + 396 = -j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -40 + 13 + (-20 - -3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((1*sqrt(1088) - sqrt(1088)) + sqrt(1088) + 1 - (-2*sqrt(1088)*-2 + sqrt(1088))) + 1*-1*(sqrt(1088) + 2))**2.\nAnswer: -136005 - 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 200*i**2 - i + 4. Let p(r) = 99*r**2 - r + 3. What is -5*p(o) + 3*s(o)?\nAnswer: 105*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.21 to 0 decimal places.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-24))\/(30\/2430))\/(396\/(-48))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:21 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 2, w: 2, n: 1, c: 8, f: 3}. Give prob of sequence fll.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -8 + (7 - -4) + 16 - -26.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 8\/2 + -1. Let t(n) = -n**2 + 2*n - 1. Let q be t(1). Suppose -2*x + 6 + 2 = q. Solve 0*g = -x*g - z*v, 5*g = 4*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-108)\/(-32)*1514*(-8392)\/(-3). Suppose -7026326 - d = -13*g. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62469, -125605, -188741, -251877, -315013?\n\"Answer: -63136*y + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -100.5. Which is the fourth biggest value? (a) -1\/5 (b) 3\/4 (c) o (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/18 - ((-140)\/(-24))\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1574, -1467, -1208, -731, 30, 1141?\nAnswer: 2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2547*w**2*y**3 + 3*w**2*y - 3*w**2 - 60*w + y**3 + 57 wrt w?\nAnswer: 5094*y**3 + 6*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 18*t - 4*t)*(-2*t + 2*t + 3*t)*(t + 0*t + 0*t)*(-2 + 2 + 2).\nAnswer: -150*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 161\/1364?\nAnswer: 161\/1364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(10) + sqrt(72)*-1 + (-2*sqrt(972))\/sqrt(6).\nAnswer: -23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 9*r + 354 = 4*a + 335, 2*a - 37 = -r for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8552916.\nAnswer: 2, 3, 237581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14050520 by 4.\nAnswer: -3512630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (53 - 0) - (-29 + 10 + 8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 14*b - 4. Let a be k(14). What is the units digit of 44 + a\/(1\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005980 by 100598.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 20*q + 19. Let f be l(21). Let n = -398 - -3568\/9. What is the common denominator of n and -1 - 2\/(-18)*f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*32*2\/(-12). Suppose 180 + 76 = w*v. Calculate the lowest common multiple of v and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9713, 9725, 9737, 9749, 9761?\nAnswer: 9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2661642 and 21507.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:39 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 54412825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let d = 719 - 721. Let c(t) = -4*t**2 - 2*t - 1. Determine d*u(x) + c(x).\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39645 is divided by 2837.\nAnswer: 2764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 321*a + 54. Let y = -21 - -24. Let v be c(y). What is v rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 119 - (5\/(-5) - -4). Let d be (-29)\/w + 98\/296. Is 2\/7 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuyyduuuyyyuu. Give prob of picking 2 u and 1 d.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*i + 5*i + 62, -2*v - 2*i + 46 = 0. Suppose v*j - 19 - 17 = 0. Solve 6*f - 12 = j*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2755029 and 2755028 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = 4*z + 12, 2*s + z = 3. Solve 4*o + 21 = r, -4*r + s + 12 = -2*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 92\/(-22) - 40\/220. Suppose -v = -2*g + 17. Solve 3*z - 12 = 0, -4*z - g = -3*w - 8*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 - 2*f**2 - 2*f - 2. Let k(p) = -42*p**3 + 9*p**2 + 8*p + 11. Give -2*k(t) - 9*w(t).\nAnswer: -6*t**3 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = 60. What are the prime factors of 613\/v + ((-8)\/52)\/1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let a(i) = 5281*i + 7. Let j be a(l). Let q = j + -15412. Round q to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6551.\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -104. Let x = 49 - v. Suppose 2*s - 3*s = 0. Which is the biggest value? (a) x (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -7309?\nAnswer: -1\/7309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a)**6)**(4\/23) assuming a is positive.\nAnswer: a**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 16) in base 2?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973 - 585 = -244*h - 32 - 306 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 12*t - 24*t - 75 = -3*b, -23*b - 49 = -4*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200 or -201?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-6 - -10)) + 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -12. Suppose 4*q = 2*w - 2, -q + 13 = -w - 4*w. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -s + 1, -4*s + 10 = -32*i + 34*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -767 in -0.6, 0.1, -1864?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.3, -9, 2 in increasing order.\nAnswer: -9, -1.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*g = -984, 0*v + 980 = 3*v + 2*g. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -464 + 479. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -0.1. Let o = -22 - -21. What is the closest to 1 in f, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f - p + 44 = 0, -f = -4*p - 22. Calculate the highest common divisor of f and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123819 and 16539?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263 + 268. Let v be (13 - (-27)\/(-3))*(-2)\/(-8). Sort 3, g, 0, v in decreasing order.\nAnswer: g, 3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4892675, 9785381, 14678087, 19570793, 24463499, 29356205?\n\"Answer: 4892706*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 5183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33223 + 45805 = 2689*l - 15087 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21500 + (24 - 11 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**3 - 2*g + 1. Let v be d(1). Let h = 42 + v. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**2*w**2 - 6*d**2*w - d**2 - 14*d*w + 546*w**4 - 2*w wrt w.\nAnswer: 10*d**2 + 6552*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1083 by 381.\nAnswer: -361\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -399*o + 8509. Is b(-71) a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 26910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 182137?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*o**4 + 10459*o**3 + 291650*o**2.\nAnswer: -3984*o + 62754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247042941.\nAnswer: 3, 109, 755483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9649273*l - 26625078?\nAnswer: -9649273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/6*(-48)\/(-40). Let y(z) be the third derivative of -1\/20*z**5 + 0 + 0*z + 5\/24*z**4 + 5\/6*z**3 - 2*z**c - 1\/120*z**6. Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255*p = -1683*p - 22684 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 8. Suppose 3*g = 5 + 16. Suppose -o = g - 1. Let r be w(o). What is the highest common factor of r and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(-4)\/(-3). Is -1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61722 and 30861?\nAnswer: 61722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 7, p: 1, m: 5, z: 1, d: 1}. What is prob of sequence mbb?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -26. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*g**2 - g - 2*g**3 + 22 + 16 - 35 - g in the form j*g + o*g**3 + x*g**2 + t and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/70)\/(2\/5). Let n(q) = 8*q + 373. Let v be n(-47). What is the smallest value in 1\/4, f, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57873120 and 480.\nAnswer: 57873120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096910019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409459.\nAnswer: 1409459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-11)*w))\/w**(1\/12) assuming w is positive.\nAnswer: w**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 6*y + 3. Let v(t) be the third derivative of t**6\/120 - t**5\/10 - t**4\/3 + 4*t**2. Let x be v(7). Let f = -12 - x. Calculate r(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120433839*k**3 - 60216918*k**3 - 60216920*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1356 + 1348. Let r(p) = -2*p**3 - 16*p**2 + 2*p. Determine r(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -2.9. Let g = 2 + y. Which is the second biggest value? (a) g (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 879191719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:49 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 2*k - 1365. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.225 - -0.755. Let o = q - -1.273. Round o to 2 dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 - 10*d + 2*d - d**4 + d + 2*d**2 + 232 + 6*d in the form i + j*d + n*d**2 + o*d**4 + t*d**3 and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11*(0 + 3 + -15 + 13). Find the first derivative of 9*i - o*i + 2*i**2 - 5 + 7 wrt i.\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1574*i**4*n - 1348*i**2*n wrt i.\nAnswer: -37776*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*g**3 - 266*g**2 + 107897*g?\nAnswer: 666*g - 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103331699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2744*s**3 - 4*s + s + 2*s**4 - 5497*s**3 + 2 + 2749*s**3 to c + z*s**2 + f*s**3 + w*s + p*s**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 0)*60\/(-12). Let a(y) = y + 45. Let b be a(-6). Let o be 2\/13 - ((-384)\/b - 0). Calculate the highest common divisor of i and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.534 to one decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 670 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 0. Suppose 3*b - 3 = 3, 0 = -4*q + 4*b + 76. Let g = q - 18. Is c at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*2\/(-4)*18. Let r be (27\/k)\/((-1)\/16). Let a be (0*3\/r)\/1. Solve 5*l + 2 + 18 = a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 7 - (2718\/(-14) - (9 - 1344\/147)).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174680041*r**3 + 38466720*r**2?\nAnswer: 1048080246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u. Let w(m) = m**3 - m**2 - m + 4. Suppose -4*v = 2*q - 8, q - 4*v + 2*v + 4 = 0. Let l be w(q). Let r(g) = l*g + 47 - 27 - 20. Calculate r(c(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*j - 39347968, -2*j = 71*r - 72*r + 19674008. Round j to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**2*n**3 - 135*b**2*n**2 - 2*b**2*n - 133*b*n**3 - 2*b*n**2 + 158*b + 902*n**6 + 74 wrt n.\nAnswer: -30*b**2 - 798*b + 108240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-8 - -17)) + 9 - (-9 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**3 - 4*s**2 + 5*s + 62. Let j(y) = -11*y**3 + 9*y**2 - 11*y - 124. What is -9*f(l) - 4*j(l)?\nAnswer: -l**3 - l - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -25 + -4 + 165 + -52.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:05 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -164, 50, 272?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupulluuaupupptai. Give prob of sequence lpu.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 4 (c) 0.31 (d) -25 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = -51*q + 114. Sort q, -4, 0, 3, 528 in increasing order.\nAnswer: -4, q, 0, 3, 528","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)\/(v*v*v**(-3\/2)))**(-11\/5) assuming v is positive.\nAnswer: v**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 116. Suppose -o = -0 - p, -4*o - 1 = -3*c. Suppose 2*y - 260 = j - c*j, 0 = y - 2*j - 130. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.96 + -15. Let b = 0.03 - 0.05. Let j = b - x. Round j to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f)**13\/(f*f**(-2\/3)*f\/f**(-9)) assuming f is positive.\nAnswer: f**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17268 is divided by 60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t - 1 + 0 + 3.\nAnswer: 40*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 0.157688.\nAnswer: 36.157688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, -1, 5, 520 in decreasing order.\nAnswer: 520, 25, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*y - 2 - 21, -y - 11 = -2*w. Suppose k = -4*b + 100, w*b = 2*k - k - 114. Suppose 3*q - k = 3*c, -3*q + 0*c = c - 116. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (567 + 392 + 298)*(5 + 0 - 4 + x).\nAnswer: 1257*x + 1257","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let i(a) = 2*a**2 - 99. Calculate s(i(q)).\nAnswer: -2*q**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6283 = 48*c - 4095 + 8794 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69042 rounded to 3 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 7. Let v be z(7). Suppose b = -v*b + 6. Suppose 2*n = b*n - 36. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2885489 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*m - 220*m = 350 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 3}. What is prob of sequence mfm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -1.7. Let x = 31.1 + y. Let l = -32.0031 + x. What is l rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 7*q + 48. Calculate the smallest common multiple of 0 - 1 - (-8 - (-7)\/(-7)) and z(6).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/8)\/(43\/(-1892)*33)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.78 in -2, 0.02, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1499 = -l - 4*t, 5*t - 718 - 6837 = -5*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*u - u. Let x = 1 - u. Let q(f) = 0 + x*f + 3 + 5*f - 6*f. Let w(a) = -3*a - 5. What is 5*q(c) + 3*w(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let r = a - -3. Suppose -9*b + r*b = -28. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:48 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*z**3 + 5*z**3 + 2*z**3 + (-5*z**2 + 5*z**2 - 2*z**2)*(z - 4*z + 2*z + (4*z - 5*z - z)*(4 - 1 - 1)) in the form b + c*z**3 + m*z + i*z**2 and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((782\/65688)\/((-2)\/4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -66, -131, -232, -381, -590?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34451102.\nAnswer: 2, 7, 23, 97, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2984*o + 675*o - 876*o = 1104*o + 368854 for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**13\/(x**(1\/3))**28 assuming x is positive.\nAnswer: x**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h. Let j be i(1). Let n be -1*j\/(1\/(1\/(-2))). Which is bigger: n or -2\/183?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*t + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2. Let d(v) = -7*v**2 + 10*v - 7*v - 3*v. Determine d(h(u)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3465569 - -3465549.000044. Let c = k + 20. Round c to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32887 + 31847 = -65*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2) + 1 + 6669\/4446.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*x - 10, 1107154*m - 104 = 1107159*m - 7*x for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -17, -6, -3, -133 in descending order.\nAnswer: 0, -3, -4, -6, -17, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 727 = -4*y + 739, 3*y = -5*t + 1132. Let i(g) = g**3 + 85*g**2 + 85*g + 125. Let j be i(-84). Calculate the highest common divisor of j and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-32))*w*w)\/w)**(43\/4))**(-3\/46) assuming w is positive.\nAnswer: w**(3999\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1879687 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 3. Let j be t(-4). Let b = -4 + 6. Solve -b*d = -5*d - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3*p + z, -z = 2*p - 0*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.29807 (b) 5 (c) 0.039 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383\/335 + 4117\/3015. Let u = 9.2 + -71.2. Which is the second smallest value? (a) u (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -0.078.\nAnswer: -2.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161\/221 - -15\/17. Which is the nearest to 2? (a) -1 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 11778 = 2*v. Suppose 4*q - v = -w, -1476 = -q - 3*w + 2*w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7012 = 2*m. Suppose 4*n + 2*l = 7*n - 40, -l = n - 5. List the prime factors of m\/(-15) - n\/(-75).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyfvyzvyzfyvzyyjvyf. What is prob of sequence fj?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w - 2003*w**2 - 18*w + 51*w - 17*w to the form o*w**2 + z*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h**2 - 7 + 23*h**2 - h + 7*h**2 - 31*h**2 + 5 to c*h + a + i*h**2 and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 8. Find the second derivative of -h*x + 0*x**4 + 2*x + 9*x**4 wrt x.\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 10:55 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.66 + -20.36. Which is the closest to 1? (a) 0.079 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l + 15. Let x(y) = -7*y - 9. Let g(d) = -3*d - 5. Let w(q) = 11*g(q) - 6*x(q). Calculate the remainder when w(5) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. What is the second biggest value in z, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -133*o**4 + 2*o**2 - 1363*o - 2395. Differentiate h(y) with respect to y.\nAnswer: -1596*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 - k + 8. Let h be w(6). Suppose 3*j = h*v + 39 + 23, -2*j + 38 = -3*v. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 1. Let c(i) = 7*i - 11. Let v(h) = -c(h) - 6*d(h). Let z be v(5). Solve z*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-3\/11)*d**(1\/7)\/d**2 assuming d is positive.\nAnswer: d**(-149\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, -2, -56, 11 in increasing order.\nAnswer: -56, -3, -2, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*k - 1 = k, -8 = -2*k. Suppose 0 = -5*r - y + 38. Let t(q) = -q**3 + 7*q**2 - 6*q + 3. Is t(r) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -542 - -568. Calculate the smallest common multiple of 892 and y.\nAnswer: 11596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 5 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/20 - i**2 + 121*i. Let w(s) be the second derivative of 4*s + 2\/3*s**3 + 0 + 0*s**2. Calculate w(l(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 506, 1114, 1794, 2534, 3322, 4146, 4994?\n\"Answer: -2*j**3 + 48*j**2 + 478*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 19 = -3*x, -8*s + 6*s = -3*x - 83. What is the highest common factor of 2482 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3000, -11913, -26786, -47637, -74484, -107345, -146238, -191181?\nAnswer: -242192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 + 7*k**3 + 6*k**3 - 2*k)*(k**2 + 0*k**2 - 3*k**2).\nAnswer: -14*k**5 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -96. Solve 0 = y + 2*y + r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1599)\/(-390) + (-4 - 44\/(-10))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 151920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-20))\/((-1)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -739 - -3444. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -22*j. Let b(c) = -666*c**2. Give b(k(z)).\nAnswer: -322344*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2650)\/4270 + 48\/(-616)*(-286)\/39.\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4936815.\nAnswer: 3, 5, 13, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 - (-4 - -2). Let r(h) = -13*h**3 - 1. What is the tens digit of r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20938)\/(-261) + -80)\/(8\/513)?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(20) - (sqrt(20) - (sqrt(20) + 2 + 3))) + ((sqrt(225)\/sqrt(9))\/sqrt(5) - (-5*sqrt(35))\/sqrt(7)))**2.\nAnswer: 1080*sqrt(5) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3\/4 - 80*f**2 - 82775*f\/4 + 3207295\/2 = 0.\nAnswer: -133, 91, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 1, -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 625 + s**3 + 1219 - 7*s**2 - 622 - 5*s - 7*s**2. What is y(12)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 6:29 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 7. Let r be n(-8). Sort 1, r, 2 in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21144.8 - 21145. What is the fourth smallest value in -0.3, b, 3\/4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 2*v**7\/21 - 2*v**6\/3 + 9*v**5\/5 - 7*v**4\/3 + 4*v**3\/3 - 11*v + 3. Suppose a(u) = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8809 is divided by 81?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/24 - (7 - 6). Let t be (-3)\/((-15)\/12 + 2). Which is the biggest value? (a) 5 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 150322030 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*b + 65*b**2 - 4*b**4 + 160 + 19*b**2 + 8417*b**3 - 8409*b**3 = 0 for b.\nAnswer: -5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28720830 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -15, 2, -4 in decreasing order.\nAnswer: 2, 1, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10170 = -2*y, -2*y = 3*j - 9396 - 786. Is j a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918 is divided by 448?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351428743*p**2 - 245381126.\nAnswer: -702857486*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11481.8, 13, -52\/9 in increasing order.\nAnswer: -52\/9, 13, 11481.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 94, 109, 128, 145, 154?\n\"Answer: -k**3 + 8*k**2 - 2*k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80\/9 - 275\/36. Let o = v - 1. Let c = 0 - 0.2. Sort c, o, 1\/2 in descending order.\nAnswer: 1\/2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 0 - 40 - 28 - 2*t as v + z*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -205*t - 140. Let r(y) = 41*y + 28. Let i(d) = 2*l(d) + 11*r(d). Is i(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 2 + 7*a**2 + 3 - a**3 - 5*a**2 - 1663*a as q*a + p*a**3 + u*a**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times -2?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -5, 3\/5 in descending order.\nAnswer: 3\/5, 0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-8 + -2 - -21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(208) + -5)**2 - sqrt(13)).\nAnswer: -41*sqrt(13) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 914 + 914)*(-2*d + 0*d + d + 3*d + d - 6*d + (0 - 3 + 2)*(-d - 3*d + 6*d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -30. Let m = -16 + h. Let b = m + 3. Sort 3\/2, -0.3, b.\nAnswer: b, -0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229349\/12 or 19113?\nAnswer: 229349\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 100 - 12. Suppose -17 = -9*i + 28. Suppose -7 = -4*x - 3*v + 4, i*v - 11 = -3*x. Solve -4*r + 32 = 3*f, -x*f + n = 2*r + f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001167808899 to 6 decimal places.\nAnswer: 0.001168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 215 + -204. Let g(k) = -3*k + 41. Let i be g(p). Solve 5*w - i = 2*h, -w + 4*w - 8 = -2*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = v - 4*x, 19*v + 4*x - 20 = 18*v. Let s(z) be the second derivative of -5\/2*z**2 + 9*z + 0*z**3 + 0 + 5\/12*z**v. Factor s(h).\nAnswer: 5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2471*n. Let v(h) = -2*h**2. Determine i(v(k)).\nAnswer: -4942*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - x. Let d = -85 + 86. What is l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 + 87.7. Which is the nearest to 3? (a) -0.2 (b) i (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 13. Let i(y) = 5*y - 26. Let r(g) = -11*f(g) + 6*i(g). Let l be r(-3). Sort -8, l, -3, 1 in decreasing order.\nAnswer: 1, -3, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w - 606. Determine b(-76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.98407049 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, l: 2, d: 2}. Give prob of sequence dn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 32*y = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 9. Let g = -189 - -268. What is the remainder when g is divided by j(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 + 7237*q**3\/2 + 890673*q**2 + 147279931*q\/2 + 8133670075\/4.\nAnswer: (q + 83)**3*(q + 14225)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 4. Let w(u) be the first derivative of -5*u**3\/3 + u + 9. Let o be w(s). Which is the closest to 2\/3? (a) -1 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6380199 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*4\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0221 + -32?\nAnswer: -32.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - 3*c**2 - 5*c + 3. Suppose 27 = -5*w - 4*w. What are the prime factors of m(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 101, 133, 153, 137, 61, -99, -367, -767?\n\"Answer: -4*k**3 + 18*k**2 + 6*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from ruczcddcuzrx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1049 + -536. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 0.0589475\nAnswer: -0.0047158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.103 and -5.25.\nAnswer: -5.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 362 + -187. Calculate the greatest common divisor of y and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*v + 2)*(3 - 2 + 1)*(-2*v + 2 - 2)*(0*v + v + 7*v).\nAnswer: -64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**4 - 5*y + 5*y + 2*y**3 - 4*y - y**4 - 2*y**2 to p*y + o*y**4 + m + d*y**2 + q*y**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f + 6 = 0. Suppose -13*v - 16*v + 232 = 0. Let i = v - f. Solve -k = 2*p, -3*p = -2*p - i*k + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*t**4 + 4*t + 0*t - 4*t - 11 wrt t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17418 + 31067. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461542*b**2*l + 71745*b*l wrt b.\nAnswer: -923084*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = q + 329, 3*q + q = -2*h + 670. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31409187*q**3 + 53666383*q?\nAnswer: -188455122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*j = -35*j + 320 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = 35*c - 47 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0845 + 14148403.2.\nAnswer: 14148403.2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Suppose 0 = -5*j + 4*m + 53, -4*m = 2*j - u*j + 26. Let o = 21 - j. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -41, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 8*a**2 + a - 5. Let m be v(8). Let f(g) = 6*g - 1. Is f(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10245705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6154\/7 + -24615\/28. Let t(x) be the second derivative of f*x**4 - 1\/14*x**3 + 0 + 0*x**2 + 16*x. Let t(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 80 = 14. Suppose -m*c - 105 = -29*c. Solve -17*h + 2 = -c*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 - 1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y - 5. Let o(v) = -2*v - 5. Determine 2*o(j) - 3*u(j).\nAnswer: 3*j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 316722862 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(475) + 5) + -2*sqrt(475)*2 + 4)**2.\nAnswer: 3800*sqrt(19) + 48944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 519155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135292?\nAnswer: 2, 149, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 1515034*u**2 + 286916760160*u - 286915245128.\nAnswer: 2*(u - 378758)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 + 0*p**3 + 9*p**3 - 7 wrt p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 28*h + 142 + 850 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 22*k = 3*k + 350 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - (-35770)\/(-539) - 234\/22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 7*j - 9. Let t be d(6). Let z = -12.1 - -15. Let l = -3 + z. What is the nearest to l in -3\/4, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19911?\nAnswer: 3, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.91 - 0.91. Let t = 0.041 - 49.041. Let p = q + t. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6712 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: Let s(n) = 4*n + 2. Let p = -130 - -132. Let f(u) be the second derivative of 7\/6*u**3 - 2*u + 0 + p*u**2. What is 3*f(t) - 5*s(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231945, 231995, 232075, 232185, 232325, 232495?\nAnswer: 232695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 15*g**2 + 47*g - 13. Let o be n(-6). Let a = o - -427. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1. Let p be 21\/(-3) + (-4)\/4. Let f = -5 - p. Suppose 3*i - 12 = 4*j, 12 = 3*i - 4*j + f*j. What is g(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-75)\/200 + (-8)\/(-64))*-12. Suppose -u = -0*w + 2*w + 8, -3*u - 15 = 3*w. Put 2, w, c, -5 in decreasing order.\nAnswer: c, 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-11514)\/(-3192)*7.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10663 > -10662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01409 + 0.03.\nAnswer: 0.04409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 2)*(2*c + 0*c + c + (7*c - 4*c - 2*c)*(-5 + 0 + 3)) + 216 - 216 - 263*c to the form h + p*c and give p.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12275400 by 1534425.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14079, 28157, 42235?\nAnswer: 56313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 64. Let l be (-436)\/(-18) + (-22)\/h. Let w = 99 - 27. Calculate the greatest common divisor of w and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 6788*h\/3 - 9056.\nAnswer: (h - 4)*(h + 6792)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwaq. Give prob of sequence aq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803942 divided by 28634?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 97*f - 245. Let y(c) = c**3 - c**2 + c + 1. Let a(v) = -7*v**3 + 10*v**2 - 3*v - 11. Let t(i) = a(i) + 6*y(i). Calculate t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9))**(-3\/53) assuming j is positive.\nAnswer: j**(27\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1010 and -1\/125240.\nAnswer: 125240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 13 - 6*c + 6 + 0 + 0. Let d be x(-5). Let k be (d*8\/(-3))\/((-15)\/(-180)). Calculate the greatest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:22 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Let q(j) be the third derivative of 0 - 1\/8*j**4 - 7*j**2 + j**3 + 0*j. Calculate q(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Suppose c = 2*x - i - 360, -5*x - i = -1174 + 281. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342.69 - 7.69. Let n = 335.00000177 - z. What is n rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(363) + 1 + sqrt(363))**2*2.\nAnswer: 88*sqrt(3) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/((5\/(-4)*2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -11606 and -515441.\nAnswer: -527047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000699566445 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**2))**15\/(s**(4\/3)*s\/(s*s**(-7))*s))**(-2\/25) assuming s is positive.\nAnswer: s**(236\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -486*b - 35961. What is m(-74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10433 + 260?\nAnswer: -10163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 2*w)*(-6 + 9 + 0).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/(-16))\/(36\/3312*-23).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 101*z + z**3 + 3 + 2*z**2 - 2 - 100*z. Suppose -3*q + 4 = 10. Let x be p(q). Which is the nearest to x? (a) 2 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 1. Let i(h) be the first derivative of -11*h**2\/2 - h + 1. Let q(s) = -3*i(s) - 7*o(s). Give q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134833840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -153*n - 3. Let u(f) = -76*f - 2. Let g(x) = 7*u(x) - 4*w(x). Let p be g(2). What is p rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 449 + -486.29. What is x rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = -15, 5*i - 5 = f. Suppose 2*q - 1 = -5*r, -5*q - 12*r + 11 = -8*r. Put i, q, 1 in ascending order.\nAnswer: 1, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + s)*(-237*s**3 + 96*s**3 - 11192*s**2 + 139*s**3).\nAnswer: 4*s**4 + 22384*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 55\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*m + 3*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:24 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122653\/21 + -5844. Suppose -1147 = 3*b + 467. Let r = b + 5393\/10. What is the common denominator of f and r?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(-4 - 1 + 4)*(3 + 2 - 6)*(-714*z**2 + 1089*z - 1089*z)*(3 + 0 - 1).\nAnswer: 1428*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**3 + 10*u**3 + 0*u**2 + 0*u**2.\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -66. What is the least common multiple of 24 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 4, g: 5}. Give prob of picking 3 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x + 9*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 1. Let s(x) = 3*x - 31. Let p(a) = -q(a) - s(a). Let r be p(28). What is the nearest to 1 in -1\/7, -3\/14, r?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**6\/15 + 19*d**5\/20 - 11*d**3\/6 - 6808*d**2 - 9691*d. What is the derivative of y(t) wrt t?\nAnswer: -8*t**3 + 57*t**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1760837 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110985557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-134)\/(-2340) + 6\/39. Let w = -2\/45 + g. Let h = 51\/2 - 26. Sort h, -3, w in decreasing order.\nAnswer: w, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2879 or -690?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105, -792, -2515, -5742, -10941, -18580, -29127, -43050?\n\"Answer: -78*d**3 - 50*d**2 + 9*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 846180129*p - 1125264462.\nAnswer: 846180129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -794*w**6 + 2*w**2 - 51.\nAnswer: -95280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 19 (b) 0.2 (c) -1\/2 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.5811. Round n to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 190?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.1 - 71.1419. What is u rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 + -29.95. Let l = q - -33. Let t = l + -3. Put -1\/5, t, 0 in increasing order.\nAnswer: t, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -773.2867 rounded to the nearest 10?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 10 - 2. Suppose -4*y + 8 = b*a, -a = -2*y + 3*a + 4. Suppose y*x = 4*p + 126, -x - p - 15 = -69. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 5 (b) -1 (c) -3\/5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*x + 99 = 349, -5*x + 415 = 5*u. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3596 * -7.\nAnswer: -25172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 10*j**2 - 8*j - 10. Let p be 1\/(-3)*(-2 - -56)\/(-9). Suppose 3*b - 38 = p*z - 15, -7 = -b + z. Give x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 13*g - 2. Let b be k(-13). Let n = b - -6. Let u(a) = 5*a + a - n*a - a + 3. Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnngggggggngn. What is prob of sequence gnn?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -794489\/8060 + -636\/403. Let a = i + 419\/4. What is the common denominator of 31\/4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 1004733241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 114, 192, 260, 300?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2840*t + 19892. What is b(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.2 + -20.111. Let l = 11.911 + n. What is the third biggest value in -0.4, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 78*g**2 + 4*g - 1. Let r be c(2). Suppose -r = -4*i + 137. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (5 - 2 - 15). Let q be (-80)\/i - 4\/6. Let d = 3 + q. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20646 divided by -558.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z + 70. Let g be (-66)\/(-14) + (-4)\/z. Let q(d) = d**2 - 7*d + 5. Give q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 2*i**3 + 6*i**4 - 2*i - 7*i**4 in the form s*i + b*i**2 + c + t*i**3 + h*i**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 196. Let f be n(-49). Let p(i) = -i**3 + i**2 - 29. Calculate p(f).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -2*q, 2*x + 2 = -3*q + 7*q. Suppose q*g = -5*g - 360. What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -52*i + 431. What is the smallest common multiple of i and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -574*i - 4291. Let u(v) = -58*v - 430. Let m(x) = 5*q(x) - 49*u(x). Give m(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*o + 3, -3*o - 6 = k - 0*o. Differentiate -4*r**2 - 5*r + 1 + 5*r - k wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:17 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 11*w**2 - 1090*w + 5604. Give b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3884835 to the power of 1\/2, to the nearest integer?\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12627 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -3*y + 40, 0 = -y - 2*f + 16. Let q be (-5)\/7 + (-4)\/y. Let b be (q - -1) + 148*-50. What is b rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(314\/14 - 23).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waww when four letters picked without replacement from aaawaawaaaaaawaaaaaa?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 3*s**2\/2 + 3*s + 31. Let c(j) = -j. Calculate 2*c(l) + o(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 7*z + 5. Suppose 5*n - 3*y + 102 = 31, -4*n - 58 = -3*y. Let b(h) = -h**2 - 15*h - 22. Let c be b(n). Calculate u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/88? (a) 0 (b) -3\/178 (c) -0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518.19229 - 0.0472322.\nAnswer: -1518.2395222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 - 10) - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 11*w + 16. Let i be g(2). Solve 0 = -i*m + 176 - 188 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, -0.3, -3\/11, -1, 10\/9?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1800?\nAnswer: -1800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by (-168)\/(-140)*11\/((-33)\/(-160))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**6\/540 - q**5\/10 - 9*q**4\/4 - 23*q**3\/6 - 38*q**2. Let c(i) be the first derivative of u(i). Factor c(r).\nAnswer: -2*(r + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6474876*-9.\nAnswer: -58273884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*j - 1708, 4*v - 2141 = -j - 5575. Let q be 92\/v*(-15 - 0). Let k = -16\/11 + q. Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17077 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2261635053439.0299978 + -2261635274536. Let u = t - -221097. Let y = u + -0.03. Round y to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16396927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 40.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from ggwefgeffegewwwww.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -752240 (base 8) to base 4.\nAnswer: -331102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 34 - 79*l - 523*l as r*l + p and give r.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16*28\/21*74?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.55 and -38.\nAnswer: 1008.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 7.6. Let s = v + -9.4. Let o = s + -0.6. What is the third smallest value in -1\/12, o, -0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.4, 3, -56?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3 - 3) + 6. Sort -2, u, 4 in ascending order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 + 171*x**2 - 5040*x + 9408.\nAnswer: -3*(x - 56)**2*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(175)*-4 + sqrt(7) + 4*sqrt(21)\/sqrt(3) + -3 + (sqrt(14)*3)\/sqrt(2) + sqrt(7))*-1)**2.\nAnswer: 176*sqrt(7) + 911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/30 - x**4\/24 - x**3\/6 - x. Let w(d) be the second derivative of g(d). Suppose 0 = -2*y + 6, 3*n + y = -y. Give w(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38636 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 - 4*d. Let b(p) = 2*p**2 + p. Suppose 4*q = -0*g - g - 29, 25 = -4*q + 3*g. Give q*b(j) - 2*u(j).\nAnswer: 2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:14 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -680.9502 + 0.46\nAnswer: -680.4902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 2*d, 3*n + 2*d - 16 = d. Solve -n*i + 5*i**3 - 9*i**3 - 4*i**2 + 5*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*f + 219 - 572, 5*l - 575 = 5*f. Let b = f + 375. Is 43 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3817860 divided by 17\nAnswer: 224580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86534685 to the power of 1\/2, to the nearest integer?\nAnswer: 9302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 6\/203 (c) -1\/7 (d) -0.293 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1695684233105487 - n - 1695684233105487 - n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, 114, 175?\n\"Answer: 61*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155705\/3 + 51890. Let w = 1713\/4 - 15599\/36. Find the common denominator of f and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 + 158. Solve -a*o + 3*x = -7, 5*o - 9*o + 4*x = -16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.3, -3, 3 in descending order.\nAnswer: 3, -3, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 - 13*j**2 + j + 7. Let u(n) = -6*n**3 + 14*n**2 - n - 7. Let h(p) = 5*r(p) + 4*u(p). Let l be h(9). Is 3 a factor of (6\/4)\/(6\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + 2*d**2)*(-649 + 131 - 99)*(-2 - 3 + 1).\nAnswer: 4936*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus 187?\nAnswer: 186.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 + 2*r**2 - 6*r**2)*(-1 + 3 - 1) - 10*r**2 + 3*r + 4*r**2 - r as u*r**2 + q + f*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -3*j, 0*j = -3*r - 5*j - 7. Let w(t) = -r - 3*t + 7*t + 2*t - 2*t**2. Suppose -m = 4*m - 5*z - 45, m + 3*z + 11 = 0. Give w(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + (sqrt(102) - 2*sqrt(102)*-4))\/(-4*sqrt(6)*1).\nAnswer: -11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**19*i)\/i**(-20))\/((i\/(i**10\/i))\/i*(i\/((i\/(i*i\/(i**26*i*i)))\/i))\/i) assuming i is positive.\nAnswer: i**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 6*u - 17*u + 7*u - 11 = 0, -5*j - 2*u + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -9, -5 in descending order.\nAnswer: 1\/7, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 - 3*y**2 + 3. Let z(t) = -12*t**3 - 5*t**2 + 6. Give -5*m(n) + 3*z(n).\nAnswer: -6*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-117)*(-4)\/(-10)*(-1170)\/72. Which is the closest to 64? (a) 0 (b) n (c) -2\/17 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 31*v + 207. Give h(15).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 4)*(0 + 9 - 43)*(-2*u + 6*u - 2*u) to the form o*u + a and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 - (-261)\/27. Suppose 12*i = -l*i + 4092. What is the remainder when i is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + 2*y + 2. Let q be c(-2). Let p be (q*1)\/(8\/52). Let g be p\/(-21) + 4\/(-14). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))**27\/(a**(1\/5)\/(a*a\/a**(2\/19))))\/((a**0)**(-4\/33)*a**4\/a**9) assuming a is positive.\nAnswer: a**(636\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -275 + 551 - g - 276. Let w(a) = a - 1. What is -5*n(v) - 2*w(v)?\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33529 - 29458. Calculate the greatest common factor of 92 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7824931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 15\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-25)*(-25)\/2. Suppose -x - 3 = -q. Let r = 7 - 3. What is the remainder when x is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 18, 51, 98, 159?\n\"Answer: 7*o**2 - 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mie when three letters picked without replacement from dtmieeiimikim.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*150.949.\nAnswer: -1660.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1824537357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {o: 1, x: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 320648*w.\nAnswer: 4*w*(w - 80162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2. Let w(p) = -10*p**2. What is w(q(h))?\nAnswer: -160*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4939674 and 618?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 951 = 6*r - 861 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.43 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 - a - 1. Let f be u(-5). Let g = f - 0. Suppose -g*k - 3*v + 33 = 0, -2*v = 4*k - 26 - 8. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1034 = -v, 0*k = -5*k - 3*v + 1289. Let f = k - 178. Let d = f + -68. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*r - 148*b + 153*b, -r = 13*b - 132. Let g = 16 + -11. Sort 1, g, -4, r in increasing order.\nAnswer: -4, 1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 20*u. Let s(y) = -30*y**2 - 33*y**2 + 90*y**2. Determine p(s(l)).\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:54 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69701029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 2712.6640128+2414.3\nAnswer: 5126.9640128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t. Let z(c) = -16*c - 10. Let g(k) = -5*k - 3. Let b(h) = -20*g(h) + 6*z(h). Determine b(w(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apaphyauuparapp. Give prob of sequence uayr.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guu when three letters picked without replacement from {q: 1, u: 2, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**5\/20 + s**4\/12 - 51*s**2 - 184. Let r(v) be the second derivative of l(v). Let m(c) = -c**2. Calculate m(r(w)).\nAnswer: -9*w**4 - 12*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:12 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 5. Let p(f) = f**3 - 3*f**2 - f**2 + 5 + 2*f - 4. Is p(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -a + 3*a + 3*c, 4*a - 200 = -5*c. Let n be a\/(-11) - (-1 - 139). What is the highest common factor of n and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*u + 291*u + 53 - 851 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -4 (c) -1.4 (d) -1\/11 (e) -3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 5*h**2 + 0*h**2 + h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7662\/(-42) - (-12)\/(-21). Let r be ((-4)\/(-9))\/(-2) + l\/27. Let y(k) = -1878*k**2 - 4*k - 6. Let b be y(r). Round b to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/6016?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Suppose -y + u + 6 = 0, o*u + 1 = y + 7*u. Suppose -5*b = -y*g - 5, 8 = 4*b + 4*g - 12. What is the greatest common divisor of b and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.5 - 16. Let b = y - -2.5. Let x be 4\/(-14)*7\/(-3). Sort b, x, 4 in ascending order.\nAnswer: b, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7)**(8\/3)*x**0\/x**(-3\/2))**19 assuming x is positive.\nAnswer: x**(2299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*v**3 + 7*v**2 + 2*v + 7*v**4 - 1001 + 52*v**3 + 999 to j*v**2 + t + m*v + n*v**4 + o*v**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 4*w - a + 15, 0 = 4*a + 8. Suppose j - 4*g = 2 + w, -3*j - 2*g + 34 = 0. Calculate the remainder when 18 is divided by -1 + 6*j\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -4117, -13894, -32939, -64342, -111193?\nAnswer: -176582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/380 and 149\/127452?\nAnswer: 637260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6 - 2 - 2. Let w(f) be the third derivative of f**5\/60 + f**3\/3 + 28991*f**2. Suppose -5*c = -3*z, 4*z + 9 = 2*c + z. Give c*w(v) + 4*h(v).\nAnswer: -3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + -32.87. Let y = 28 + a. What is the second biggest value in y, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:01 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5454505 - 117?\nAnswer: 5454366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - 4) - (29 + (0 - 154)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -z - 254. What is the highest common divisor of 468 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (571 + 414 - v**3 - 820)*(89 + 34 + 18) in the form l*v + t + m*v**3 + s*v**2 and give t.\nAnswer: 23265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 357719.\nAnswer: 13235603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2 + v**2 - 8 - 3 + 5*v + v. Let b be f(-7). Is (b\/6)\/(1\/(-51)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315484381 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/36)\/(-3 - (-39)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1460\/44 - 3\/(66\/4). Let s = 66 - g. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80366.\nAnswer: 2, 11, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607 is divided by 798.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/76 or 57439?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*i - 11 = 34, 4 = -4*i. Suppose -5*y + l = 2*h, -2*y + 2*h = 2*y - 38. Suppose 5*t - y = 1, -4*u - 3*t + 46 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 409, -2, -5, -3, 1, 4, -35 in descending order.\nAnswer: 409, 4, 1, -2, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 41\/28*k**4 + 0 - 65*k**2 + 0*k + 1\/140*k**5 + 1681\/14*k**3. Factor h(p).\nAnswer: 3*(p + 41)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g - 5. Let q be t(7). Let r = q - 46. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**2 - 49 - 27*k + 50 + 18*k)*(2*k**2 + 0*k**2 - k**2).\nAnswer: -11*k**4 - 9*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -71*v + 1. What is the units digit of l(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84)*-2))))\/(sqrt(1728) - (sqrt(1728) + sqrt(1728) + -2*sqrt(1728)) - sqrt(12)))**2.\nAnswer: 28\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 160842.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6230.\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1097 + 1353. Calculate the greatest common divisor of 192 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 17*a**2 - 17*a - 4. Let h be s(6). Let l = 294 - h. Solve 3*z - 2*k = l, 2*k = -5*z + 36 - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149468872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r. Let k be 11\/(-2) + 12\/(-8). Let y = 0 - k. Let o(m) = -m - 5*m + y*m. What is d(o(q))?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 12, -4*b + 12900 = 3*h. Suppose 113 = 11*d - 30. Suppose -19*s = -d*s - b. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 8. Let a be p(-3). Suppose 0 = -3*x + a - 8. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in years?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u + 2*u + 10*u)*(-3*u - u**3 + 3*u) to the form x*u**2 + k*u**4 + s*u + v*u**3 + l and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12421423 (base 5) to base 6\nAnswer: 2351043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865?\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 259962977293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -16. Let r = a + 3. What is the nearest to 0 in 0.3, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -36. Solve 4 = 4*f + 4*g, x*f + g = -0*g + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {u: 1, x: 2, d: 7}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)\/j**(-1\/2)*(j\/(j*(j*j**(-1\/2)*j)\/j))**(-22))**(-7\/5) assuming j is positive.\nAnswer: j**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -241*z + 14. Let t be y(-1). Let c = t + -3. Is c a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(-7 - -10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1.5. Suppose -9 = -27*y + 72. What is the nearest to y in a, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 446317 - 6?\nAnswer: 446311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 478.\nAnswer: 477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g*p**4 + 3*g*p**2 - 29*g*p - 400*p**5 - 21*p wrt p.\nAnswer: -60*g*p**2 + 6*g - 8000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1237180004*b*z - 60302965*b with respect to z.\nAnswer: -1237180004*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 3, e: 1, f: 2, u: 5}. Give prob of sequence uhuf.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021132 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275900637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32598*p + 3536*p - 9052*p + 14190*p)*(-2*p + 0*p + 0*p).\nAnswer: -82544*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2086 + 0.1302. Round q to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11077287 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 + -135. Let s = k + 496. Calculate the greatest common divisor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*d + c, 0 = 4*d + 5*c - 25 - 25. Calculate the common denominator of 4 + -2 - (-87)\/d and 46.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*72\/(-1920)*8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-172*b - 165*b + 328*b)*((2 - 1 - 3)*(-b + 2*b - 3*b) - 2 + 2 + 3*b) + 3*b**2 + 4*b - 4*b to the form s + z*b + h*b**2 and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*y**3 + 230*y - 230*y + 6767*y**3 + 892*y**3.\nAnswer: 7767*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 171 + 5*o**2 - 5*o**2 + 3*o**3 + 4*o**4 - 2*o**4 - 2*o**3 - o as n*o**3 + l + m*o + a*o**2 + k*o**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**4 + 5*q**4 + 15*q**4 + (2 - 2 + 3*q**2)*(-q**2 - 2*q**2 + q**2) - 24*q**3 - 20*q**4 + 24*q**3.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*j - 40 = 0, 4*j + 60 = 4*o + 8*j. Is (-3518)\/(-6) - o\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.5822849 rounded to 2 dps?\nAnswer: -32.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -311*z**4\/12 - 40*z**3\/3 - 4*z - 16. Find the second derivative of x(t) wrt t.\nAnswer: -622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -34. Let b(k) = 43*k**3 - 9*k**2 - 3*k + 19. Let j be b(v). Let m be -1 - j\/(-5) - 4. Round m to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397588 is divided by 290?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + p = 8. Let o be -3 + (-2 - (p - -1)). Put -1, 0, o, 5 in descending order.\nAnswer: 5, 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7045 by -5.\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2 - 0) - -4. Let c be 979\/33 - (-2)\/(-3). Suppose 2*r - o = c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -405 - -404.9789. Round v to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.083862 - 0.043768. Let p = -0.04 + m. Round p to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + 906.34954?\nAnswer: 906.26954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 1. Let k(h) = h. Let a(v) = -3*k(v) + u(v). Give a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n, 451*g - 2*n - 11638 = 446*g. Which is greater: 2329 or g?\nAnswer: 2329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 1. Let p(h) = -51*h**2 - 13. Let w(c) = 78*b(c) + 6*p(c). Let m(r) = 4*r + 6. Give m(w(z)).\nAnswer: 24*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:24 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*b = 6, -2*o = 21*b - 20*b - 21. Suppose -z - z - 2*s + 36 = 0, -82 = -4*z - 2*s. What is the remainder when z is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 67 = 4*d + 2*u, 2*d + 2*u = 34. Let v be 6\/15 + 709\/40. Let f = v - d. Which is the smallest value? (a) f (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -860 + 2861. What is the remainder when b is divided by 83?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 28*w - 4*w**2 - 6*w**2 + 28*w.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - 4\/(-2). Let y be 57*(-2)\/12*-4. Suppose p = -4*b + 3*b, -3*b - y = -4*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130529651\/624 - -209182. What is the common denominator of 149\/336 and m?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103010 (base 5) to base 9.\nAnswer: -4724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1832 and 458?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 e when three letters picked without replacement from kzbkkbkcekbekeecb?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z = 95397 - 88937 for z.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*x - 74194 - 156751 = 0. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 8. Let l be d(8). Suppose 20*r - 12*r - l = 0. Differentiate -252*t**2 - 1 + 124*t**2 + 83*t**r wrt t.\nAnswer: -90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -14. Let k = g - -76. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.7 + -5?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -48, -92, -152, -228?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00433472108 rounded to 5 dps?\nAnswer: -0.00433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -883, -1583, -2283, -2983?\nAnswer: -3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 >= -8\/5877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1198.\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -0.02 (c) 0.3 (d) 483\/8 (e) 81 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(25\/(-350)). Suppose 0 = -z*i + 28*i - 35. List the prime factors of 6\/((-222)\/(-44) + i).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275997 bigger than -15\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 18. Suppose -3*c = -6*c + g. What is the third derivative of 2*k**4 + 2*k**4 + 2*k + 3*k**c - 2*k wrt k?\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4813\/36 (b) 2\/3 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 32, -9, 4, 0 in descending order.\nAnswer: 32, 4, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011565 divided by -8?\nAnswer: 3011565\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/44? (a) 39796 (b) -2\/11 (c) 0.5 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 275*z**2 + 18*z + 5. Let d be y(-1). Suppose -r - 499 = 2*r + n, -845 = 5*r - 5*n. Let c = r + d. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 60*b**3 - 2*b**2 + b + 1. Let j be l(-1). Let t = j + 67. Let k(u) = 3*u - 11. Let g be k(t). Solve 3*h + 5 = -g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 1 + 3. Suppose -3*i = -x*i - 2, 4*u - 5*i - 14 = 0. Solve s + 4*w - u = 0, 2*w = 2*s - 2*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 2)**2*-3.\nAnswer: -741 - 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*f + 21. Let h(q) = q**2 - 8*q + 21. Calculate the lowest common multiple of h(f) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 210. What is o(-76)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 565703988*a**4 - 344623465?\nAnswer: 2262815952*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 174\/(-10) - (520\/(-425) + (-405)\/2295)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 - p + 8. Is j(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195686.4062 + 197.\nAnswer: 195883.4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7c6ad (base 15) to base 10\nAnswer: -396388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 4. Let s(p) = -p - 1. Let b be 15\/((-4)\/(-2) + -1). Let j = b - 21. Let x(c) = j*s(c) - n(c). What is the derivative of x(r) wrt r?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 16. Let b = 22232324.9999982 + -22232308. Let w = n + b. Round w to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2304 - 3045440?\nAnswer: -3052144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*d - 3 + 43, 30 = 4*k + 2*d. Suppose -2*m = -8*a + 3*a - 15, -45 = k*m + 4*a. Is -5 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + 13 - (-914 - -957).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27772 - 15521. Is c a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209584256 is divided by 1858?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.3 + 44.3. What is the third smallest value in -0.5, z, 1\/2, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + sqrt(192)*1.\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56235 - 39019 + 22077 = 1366*z + 7417 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 254*d**4\/3 - 3448*d**3\/3 - 68216*d**2\/3 - 93760*d - 107136 = 0?\nAnswer: -6, -4, -2, 31, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:17 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**2 + 61*p**2 - 26*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 5600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 - 4*m - 5. Let c be ((-12)\/(-48))\/(2\/16). Let y(r) = r**3 - 1. Let b be y(c). What is the tens digit of z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 14*b + 50. Let j be -5 - (-1)\/(-5)*b. Let u(g) = g**2 + 8*g + 27. Calculate the remainder when u(j) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -35?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**2 + 5*o - 3. Let c(z) = 28*z**2 - 23*z + 16. What is 2*c(n) + 11*p(n)?\nAnswer: -10*n**2 + 9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 198\/(-4)*(-2)\/3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*6\/(-9))\/(-1). Suppose l + 16 = 3*l. Let y be (u\/(-6))\/(l\/(-36)). Which is the third smallest value? (a) 1\/7 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 1)*(-370*u + 705*u - 389*u).\nAnswer: 378*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(189\/9))\/(76\/(-12))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9813549, -9813551, -9813553, -9813555, -9813557?\nAnswer: -9813559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -12*h + 8. Let q(i) = -8*i**2 - 2*i - 7. Let j be q(h). Let u = j - -999\/7. Put -0.4, u, 0.5 in descending order.\nAnswer: 0.5, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*x + 21, -5*t + x - 3*x = -29. Suppose 3*v + 0*v + t*r = 0, -5*r = 0. Let b = v + 0. Round b to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 2*z - 2. Let d be v(-3). Suppose 5*b - b + 16 = -5*j, 2*b = -3*j - d. Is 1*((-3)\/b + 41) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-115)\/(-230))\/(2\/416). Solve -132*u + o*u = -56 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2736*t + 150479. Give w(56).\nAnswer: -2737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1480070*k**3 + 9212092*k**2 wrt k.\nAnswer: -8880420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30114 divided by -42.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -222, -5, 1, -4, 13, 3.\nAnswer: -222, -5, -4, 1, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 70*s**2 - 252*s. Let a(r) = 7*r**2 - 25*r. Let z(c) = 49*a(c) - 5*d(c). Find the second derivative of z(t) wrt t.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36761.6 to the nearest one hundred.\nAnswer: -36800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 983349129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f - 19 = 2*d - 40*f, -12*d - 80 = 4*f for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = -4. Let a be 4 - (0 + 2 + j). Suppose -22 + 1 = -a*x. Calculate the remainder when 20 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273208501?\nAnswer: 167, 7624003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 13. Let q(n) = 5*n - 38. Let u(f) = 17*b(f) - 6*q(f). Let m be u(-4). Let p(s) = -s - 9. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679918213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a - 8. Let s be v(-1). Suppose 5*h = -3*x + 73, -4*h + 139 = s*x + x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 41*x - 2717. Calculate z(42).\nAnswer: -2675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-50)\/15 - -3)*(-5 + -4). Factor 9\/2*q**2 + 0 - 3\/2*q**3 - k*q.\nAnswer: -3*q*(q - 2)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 39*b + 19. Let j be u(-19). Suppose -4*s - o = -3, s - 3*o - 4 + 0 = j. Let y be (2\/(-4))\/(s\/(-30)*-5). Is y less than or equal to -26\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/3 - 5*m**2\/2 + 10*m - 5. Let q be c(-7). What are the prime factors of (q\/3)\/((-8)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 6. Suppose a = c - 0 - 2. Find the first derivative of 0 + 0*p**2 + 2 + 2*p**c wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (sqrt(637) - 1*(sqrt(637) - (0 + sqrt(637)))) + 2 + (-6*sqrt(637)*2 + sqrt(637))*-5)**2 + -4.\nAnswer: 784*sqrt(13) + 1997629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -267, -5, 5, 3\/2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/5, -2\/7, -1, -4, 0, 5380286, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {e: 8, w: 3, m: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8991 + -1?\nAnswer: -8992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12*g + 94. Let n be r(-7). Suppose -3*i + 0 = -3. Let t be (i\/(-4))\/(n\/(-40)). Solve 3*p + t + 11 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 19*f**2 - 541*f + 1080. Determine z(2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -979*t**2 - 1025*t**2 - 573*t**2 + 728*t**2.\nAnswer: -1849*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6 + 168*a**5*v - 104*a**2 + 39*v wrt a.\nAnswer: 360*a**3 + 10080*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4217249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -864360 divided by -588?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 + 6*j + 6. Let c be l(-9). What are the prime factors of (-6378)\/c - 1\/(-8)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -924*b*k**2 - 181*b*k - 166*b + 282936899*k**2 with respect to b.\nAnswer: -924*k**2 - 181*k - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30.338 + -3.49364\nAnswer: -33.83164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9005.\nAnswer: 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8909934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 21*j**2 + 20*j + 45. Give n(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/180*(2 + 38).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b - 47. Let m be y(-7). Solve -4*g = 2*s - m, 5*g + 4*s = 33 + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -818701\/70 - -11696. Let w = o - -1563\/560. Find the common denominator of 15\/2 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + y + 2. Let l be z(-2). Let j = l + 135. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2100607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248314?\nAnswer: 2, 11, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from hfvfvhvvvvvf.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9542 and 54.\nAnswer: 257634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621540 divided by 5?\nAnswer: 1324308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.316 - -0.099. Let c = i - -0.617. What is the fourth smallest value in c, 5, -1\/34, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 26*w**2 + 155*w + 153. Give l(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -41331?\nAnswer: 41403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -177\/5? (a) 5 (b) -41 (c) 3\/7 (d) 33\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904 - 70 - 230 = -102*r - 82 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-21))\/(17\/(-119))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3. Let w(l) = -5. Let c(a) = -3*f(a) + 2*w(a). Let j(y) = 2*y**2 + y. Suppose -n = -5*n - 4. Determine n*c(i) + j(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - o**4 + 3*o**4)*(16 - 7 + 12*o - 10).\nAnswer: 12*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = a, 2*a - 5*f + 0 = 8. Let w be (a - (5 + -2)) + 1. Suppose -4*b + 2*b + 2*b + 2*b**w = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(567) - (5 + (3*sqrt(567))**2 + sqrt(567))) - ((-1 + sqrt(567) + (0 + sqrt(567) - sqrt(567)))**2 - ((sqrt(567) - (1 + sqrt(567)))*5)**2).\nAnswer: -5647 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -1.2759.\nAnswer: -0.051036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p = -76*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o*u**2 + o + 1589374*u**4 - 66235 wrt u.\nAnswer: -2*o*u + 6357496*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69544644*l + 166199292 with respect to l.\nAnswer: -69544644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353528493 to the power of 1\/2, to the nearest integer?\nAnswer: 18802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1318 in 0.3, -5, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61534.6cm to kilometers.\nAnswer: 0.615346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -131338, -5 in ascending order.\nAnswer: -131338, -5, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18*a**2. Let i(m) = m**3 + 24*m**2 - 33*m - 3. Suppose 2*o - 22 = -66. Let j be i(o). Let h(c) = j - 1691 + c. Determine h(y(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 + 2580*v**2 + 162684*v + 883872 = 0. What is v?\nAnswer: -792, -62, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*g + 210, 57*g + 6 = 58*g. Which is smaller: l or 718\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227765711 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -3.4. Suppose 0 = -7*v - 10 - 18. Which is the biggest value? (a) -0.6 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -2. Let n(u) = -91*u - 1003. Let q be n(-11). Let o be 8\/28 - 5\/42. Which is the closest to q? (a) t (b) -3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48018157\/14 equal to -3429868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43169 (b) 2\/9 (c) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:38 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 26.05. Let a = -163 + 162.9516. Let m = a - i. Round m to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(792))\/(sqrt(44)\/sqrt(4)*6))**2 + 4 + (sqrt(8)\/(sqrt(16)\/sqrt(4)) - (sqrt(200) - (sqrt(200)*1)**2)).\nAnswer: 7*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -3. Let g be (-2)\/x + 108\/30. Let b = 11 - -14. Solve t + g*t - b = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(-6)\/(72\/15)*7004\/(-206).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 3 (c) -1\/7 (d) 2\/95 (e) 32.4 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(37 + -18 + -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-3 - -2)\/(-4)). Let o be 187\/44 + (-3)\/n. Suppose -3 - 42 = -o*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qek when three letters picked without replacement from {q: 1, k: 1, x: 1, w: 1, n: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5*-3*(-4)\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 + 89690398*s**2 + 671677*s - 1.\nAnswer: -40*s**3 + 179380796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098 is divided by 120?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69, 157, 233, 285, 301, 269, 177?\n\"Answer: -2*j**3 + 6*j**2 + 84*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -30.8 (b) -2 (c) -0.035 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 + 60*w**2 - 6*w - 2. Let t(p) = -11*p**3 - 119*p**2 + 15*p + 5. Determine -5*j(m) - 2*t(m).\nAnswer: -8*m**3 - 62*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 353*i**3 - 21*i - 31. Let f(q) = 71*q**3 - 4*q - 6. Calculate -11*f(g) + 2*h(g).\nAnswer: -75*g**3 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**2. Let d(k) = 9*k + 143. Give u(d(g)).\nAnswer: 1296*g**2 + 41184*g + 327184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 10*a**2 - 9*a + 7. Let d(f) = 2*f - 36. Let o be d(9). Let l = 9 + o. Is n(l) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-166)\/(-83))\/(11704\/44)?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -14, 12, -366, 2, 1 in ascending order.\nAnswer: -366, -14, -3, -1, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 3, v: 1}. What is prob of sequence vss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1888*g**2 + 2781*g - 5560. Determine k(2).\nAnswer: -7550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and (6 - 2)\/(22\/33).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12753 times 0.286\nAnswer: -3647.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/16 and 51\/784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69807, 20, 3?\nAnswer: 69807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 29 - 13, 4*n - 184 = d. Suppose -30 = -n*o + 393. Let r be (2\/3)\/(1\/3). What is the greatest common divisor of r and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 195, 291?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 8\/3, 0.11, -1\/15, -0.4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.34561237 rounded to two decimal places?\nAnswer: 81.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266969*b**5 - 4*b**2 - 1170*b - 392?\nAnswer: 16018140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000010000111100011 (base 2) to base 11.\nAnswer: 1537054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33a7 + 11a4?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 - r**2 - 2*r - 1. Let y be t(-1). Let k = y - -13. Let x be k\/(-10)*(-120)\/16. Solve x*j = 4*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n**3 - 3*n**3 - n**3)*(n - 2*n - 2*n + (20 - 20 - 10*n)*(-1 + 3 + 0) - 5 - 2*n + 5) as h*n + l*n**4 + w + k*n**3 + v*n**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -8\/7 (c) 5 (d) -165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6161 or 6160?\nAnswer: 6161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q = -48*q - 52*q - 12194. Sort -5, 12, 4, q.\nAnswer: q, -5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 3793 = 5*w, 2*w - 4*r - 1506 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -329.\nAnswer: 8\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:41 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quo when three letters picked without replacement from {w: 3, o: 2, y: 2, q: 5, s: 2, u: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*a + 2*a**2 + 4 + 0 - 237*a - 5.\nAnswer: 2*a**2 + 168*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -30*x - 1. Is 9 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 21.\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r - 5. Let p(o) = -6*o - 1. Let n(l) = -l. Let b(m) = 24*n(m) - 3*p(m). Let s(x) = 3*a(x) + 5*b(x). Let c(i) = -i. Determine s(c(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**6\/90 - 5*p**4\/24 + 4*p**3\/3 - 5. Let h(z) be the third derivative of s(z). Differentiate h(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 180?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*m**4 + 0 + 61*m**3 + 1798*m**2 - 3844*m = 0 for m.\nAnswer: -62, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -6 (c) -8\/7 (d) -41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y**4 - y**2 + 11*y. Let c(n) = -3*n**4 - 2*n. Let q(f) = -11*c(f) - 2*z(f). Find the third derivative of q(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 = -h - 0*h, -3*h = -d - 7. Find the third derivative of -5*f**2 + 4*f**2 + 3*f**2 - 4*f**5 - f**h wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/114 or 0?\nAnswer: -5\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 186181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 81, 106, 121, 126, 121, 106?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2950, 12373, 28044, 49963, 78130, 112545, 153208?\n\"Answer: 3124*f**2 + 51*f - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6893 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let h be (60\/(-5))\/(-2) - (-324 - 4). Suppose -4*u + h + 538 = x. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 6. Let u be o(12). Let x(s) = s - 4. Let m be x(u). Suppose -4*l + 4766 = -0*j - m*j, 0 = -4*l - j + 4751. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5816824 to the nearest integer?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3510859 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7707038ng in micrograms?\nAnswer: 0.0007707038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 41. Suppose -5*y - 15 = 0, z = -5*k - 4*y + 618. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3003, 6006, 9003, 11994?\n\"Answer: -3*p**2 + 3012*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 4146*u - 8293\/2.\nAnswer: (u - 8293)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 2*g - 10 - g + 261129*g**2 + 281094*g**2. Let q be d(-3). Suppose -r + 2439994 = -2*f, -2*r - q = -4*r - 5*f. Round r to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320951935?\nAnswer: 5, 449, 142963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 - 52*u + 20. Let j be y(10). Solve x - 2 = 3*i - 14, j = -5*x - 4*i + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*a - 52 = 3*d, 0 = -5*a. Suppose 2*x - d = -4*v, 3*v + 3*x - 45 = -0*v. Calculate the remainder when 29 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.247213+-0.5\nAnswer: -0.747213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.71949 - 0.01949. Which is the third biggest value? (a) -2 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1714*24\/34 + (-72)\/(-612). Is a greater than or equal to 1211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4\/4 + 599*m**3 + 20021*m**2\/2 - 21815*m + 44825\/4 = 0?\nAnswer: -55\/3, 1, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in months?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7250146231 and 289.9.\nAnswer: 7250146520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-3\/4))**(-26))**(3\/16)*(k*k**2)**2*k**2\/k**(-1\/6) assuming k is positive.\nAnswer: k**(199\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3774 and -145.2?\nAnswer: 547984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d = -36*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0645557 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5cd (base 16) to base 9\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 69.5, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004556 to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:14 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 126, 113, 100, 87?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:11 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2416 = -0.056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w + 2*p - 3 = 0, -2*p = w - 1. Let j(v) = v**3 + v + 1. Let d(g) = -g**3 + g**2 - 7*g - 5. Let i(t) = w*d(t) + 4*j(t). Solve i(s) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600*v**4 + 2*v**2 + 916*v.\nAnswer: 7200*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -34*w**2 + 37*w - 33. Calculate u(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14361*w**2 - 153736 + 153736)*(-w**2 - 2*w**2 + 2*w**2) - 3*w**4 + 4*w**4 - 3*w**4.\nAnswer: -14363*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40686*b**2 - b**3 - 40686*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 p when three letters picked without replacement from {n: 3, d: 2, p: 6, f: 2, o: 5}?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355 by -1.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4026087 (base 9) to base 16.\nAnswer: -20b46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099093 less than 1099091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*a + 3 + 1 = -1, -1 - 4 = 5*a for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295 - 84 + 24)*(-1 - 4*p**4 + 1).\nAnswer: -940*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*p - 16 - 7 + 19 + 2.\nAnswer: 689*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 + 10 = 0. Let j = 12 - d. Solve -j*c + 3*f - 5 = 6*f, c = 5*f - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.2. Let p = 1.1 - h. Let q = -4048.4 + 4048.4. Which is the closest to q? (a) 4 (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.8 or -4\/125?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.03\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-5 - -1) - (-48 + 20 + 9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*b - 72*b - 360. What is the highest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*y = -152, c - 13 - 25 = 2*y. What is the remainder when c is divided by (13\/(-4))\/((-2)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 1 - 7, 5*q - 3826 = -3*f. Let v = q - 348. What is the remainder when v is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000212 (base 3) to base 7.\nAnswer: -4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74355 (base 8) to base 5\nAnswer: -1442312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.12 - -21. Let p = -0.88 + q. Which is the biggest value? (a) 0 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 + 143 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3541 + 3521. Which is the third smallest value? (a) -2 (b) -17 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 14*r - 297 = -17*r, -4*r = 3*z - 901. What is the smallest common multiple of 10 and z?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -739, -617, -491, -361, -227?\n\"Answer: 2*f**2 + 116*f - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176723905.\nAnswer: 5, 139, 254279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -49202 and -49237 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqnqwwwnq. What is prob of sequence wqqn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100*-9515\nAnswer: 951500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1305*u + 60426. Calculate g(-46).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0, 1656, 12 in descending order.\nAnswer: 1656, 12, 0, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1245*i - 149. Let j(n) = 830*n + 92. Give -8*j(p) - 5*r(p).\nAnswer: -415*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {t: 16, n: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times -1409179?\nAnswer: 170510659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398495030 + -1.16?\nAnswer: 398495028.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 + (33 + (55 - 37) - -32)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 3*i**2 - 4*i + 4 + 12*i**2. Let d be ((-45)\/12*2*(-2)\/5)\/1. What is the tens digit of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o - 0*o. Let u be 3*(o - 0\/1). Let s(c) = 3*c**2 - u - c**2 + c**2 + c**3. Calculate s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:25 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w + 76. Let u be -2 + 5 - (12 + -3). Let h(m) = 36*m**2 + 2*m + 1. Calculate the remainder when h(-1) is divided by i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1560*d**3 - d**2 + 303*d wrt d.\nAnswer: -9360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) 2\/5 (c) 3 (d) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*1391\/(-143)*693\/(-42)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -8, -11, -12, -11, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/40 and -35\/732190496?\nAnswer: 3660952480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(29*o**2 - o**2 + 6*o**2 - 2*o**2 + o**2 + 2*o**2 + (0*o**2 + 0*o**2 - 2*o**2)*(-1 + 2 + 1))*(2 - o - 2).\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -210289 divided by -23?\nAnswer: 9143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:34 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3*(-21)\/(-2). Let k = 364 - 186. List the prime factors of 2\/7 + k\/v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/8)\/(2\/(-16)). What is the common denominator of 30\/(-8)*m\/(-35) and (-125)\/12 - (0 + 1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -229, 31438 in decreasing order.\nAnswer: 31438, 9, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 8*n - 6. Let y be 34 - 44 - (1 - 20). What is g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1059 + 1059 - 286*f**3)*(1 + 0 - 2) - f**3 + 0*f**3 - f**3 to r + h*f**2 + l*f + o*f**3 and give o.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144, -234, -262, -222, -108, 86, 366?\n\"Answer: t**3 + 25*t**2 - 172*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 215265088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1198 by 14001.\nAnswer: 1198\/14001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/37798495 and -35\/2.\nAnswer: 75596990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18367, 18357, 18347, 18337, 18327?\n\"Answer: -10*h + 18377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2 - (-1 + -1). Let k(i) = -i**3 - 14*i**2 - 2*i - 14. Let v be k(-14). Let h = -11 + v. Solve -h*p - j = -0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 - 0.6. Let d = z - 5.6. Which is the nearest to 1? (a) d (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 3*f**4\/4 - 103*f**2. Let d(z) = 8*z. What is d(k(u))?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/111509582 and 49\/22.\nAnswer: 1226605402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + sqrt(75) - sqrt(75)) + sqrt(75))**2 + -1.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 19 + -7 + 19 + -17 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - -593.16\nAnswer: 593.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313959 is divided by 513.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 0. Let h be -1 - (-14)\/c - (-374)\/132. Solve h*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:06 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45458279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*a - 1772 - 833 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 754717991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 21\/(-7) - 8. Let a(f) = -2*f**2 - 1. Let s(m) = m**3 + m**2 - 5*m + 2. Let l be s(-3). Let z be a(l). Sort 2, 5, j, z.\nAnswer: j, z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/21)\/z)\/z**(28\/9) assuming z is positive.\nAnswer: z**(-253\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142133520 by -4737784.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 176, -2\/13, 189?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**3 - 7*l**3 + 7*l**3 + (l - 4*l + 0*l)*(5*l**2 - 10*l**2 - 7*l**2).\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + r + 51, -5*r + 25 = 0. Does 12 divide -70*(2 - 80\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120492, 120459, 120426?\nAnswer: 120393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 8.25\nAnswer: 32.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 892 + -1.14.\nAnswer: 890.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 4614694?\nAnswer: 23073470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + 0 + -2)))**2))) + -3.\nAnswer: -24*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 3. Let o = -31 + 33. Let v(r) = 2*r - 2. Let w(n) = -3*n + 3. Let x(b) = -4*v(b) - 3*w(b). Determine o*z(p) + 6*x(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let s be (-46)\/(1 + v + -4). Suppose -3*l + 4*i + 8 = 0, i = 5*l - s + 4. Which is the second biggest value? (a) -0.4 (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -50. Suppose -18*w + 1230 = -n*w. Factor -47*z - 84*z + 5*z**2 - 10 + w + 21*z.\nAnswer: 5*(z - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372076 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 4333*o**3 - 3*o**2\/2 - 2*o - 3. Let a = -6 - -4. Let i be f(a). Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 3039 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17862, -17860, -17858, -17856, -17854, -17852?\nAnswer: -17850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (17 + -8) - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 - 15\/9). Suppose -2*q + k + 65 = 0. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 13. Let z = 20 + j. Let q = 12.4 - z. Which is the nearest to 2? (a) -1\/3 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12308 - 10024?\nAnswer: -22330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y + 90 - 1451 = 169 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + (sqrt(432) + 0 + 1)**2 - (4 + sqrt(432) + -1 + (sqrt(432) + 0 + sqrt(432) + sqrt(432))*1)**2).\nAnswer: -6487 - 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16955279.43 less than -48?\nAnswer: 16955231.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:49 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-68)\/96 + 2\/(-16). Let k(s) be the first derivative of 0*s + 2\/3*s**3 + 0*s**p - 1\/2*s**4 - 5. What is the third derivative of k(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + -29*(20\/(-35))\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 1 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2608*n + 2613*n = -z + 2, -2*z - 20 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 3596483.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/20 - 1825\/10. Let p = -180 - q. Sort 0.06, -0.5, -3, p in descending order.\nAnswer: p, 0.06, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 2. Let q(u) = u**3 - 3*u**2 - u + 1. Let g be q(3). Let z be i(g). Solve -5*k + 5 = -z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(-26635)\/3044?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53053975 or 53053978?\nAnswer: 53053978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-737 + 1107 - 609)*(-6*o + 8*o + 9*o + (3 - 1 - 3)*(0*o + 2*o + 0*o)) to the form h*o + r and give h.\nAnswer: -2151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 8)*(-4*r**2 + 4*r**2 + r**2 + (4*r + 4*r - 5*r)*(-2*r + 4*r - 5*r) + 0 + 0 + 2*r**2).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20052651*z**2 + 32112045 wrt z.\nAnswer: 40105302*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-507 - 61398*v + 61398*v - 3*v**2)*(4 + 0 - 3) to the form c + o*v + i*v**2 and give c.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2536.81 decades?\nAnswer: 304417.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 15, 50, 119, 234?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -143*i**3 - 4*i**2 - 4*i + 2. Let y be z(-2). Suppose y - 400 = 9*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51396133 is divided by 114468.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*f + 1. Which is the biggest value? (a) 0.3 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 274560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2530 - 4?\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 11. Let z be s(3). Let y(t) = 1 + 9 + t - z. Let v(n) be the third derivative of 7*n**4\/24 - n**2. Give y(v(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -12 - 3. Let r(i) be the second derivative of 0*i**b - 4*i + i**2 + 0 + 0*i**4 + 1\/10*i**6 + 0*i**5. What is the first derivative of r(o) wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -549 + 766. Let a = 222 - f. Suppose 6*o - 2*o - 16 = 0. Put a, -5, 3, o in ascending order.\nAnswer: -5, 3, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a = 0. Suppose a = -14*q - 1186 + 4770. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*k = 1155, 4*r - 8*k + 12*k = 1540. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.36992118 and -5.\nAnswer: 1.8496059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73649.11 millilitres in litres?\nAnswer: 73.64911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.340997 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let r(u) = -u + 29 - 11 - 18. What is 5*r(x) - 2*w(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from llmmlllllllllmllll.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by -5*1\/3 + (9550\/(-75))\/(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(4 + -2)*2. Suppose -h*r = 3*m - 54, 6 = 4*m - 5*r - 97. Calculate the lowest common multiple of 20 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - l = -0*l + 29, 19 = 4*j - 5*l. What is the least common multiple of (128\/28 - j)*-7 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-98)\/21)\/(-14))\/(1\/6). Solve -a*q - 20 = -16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 12\/43, 1\/3, -3, -5\/12, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 1. Let n be t(1). Suppose -u + 4 = -n*u. Let c = -677 + 674. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 260\nAnswer: -103\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -2226, -7394, -17458, -34050, -58802, -93346?\nAnswer: -139314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/1001 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7424*h**2 - 2343*h**2 - 2715*h**2 - 2319*h**2.\nAnswer: 47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -631\/18 - 137\/18. Let k = 43 + t. What is the nearest to 2\/5 in 3\/7, k, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16)*(-12)\/((-24)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11177 is divided by 361.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-90)*-5*1\/((-5)\/(-120)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let a = 3 + 0. Let u = -3551\/13 + 273. What is the second smallest value in a, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*a + 121*a**2 + 137*a + 131*a - 2*a**3 - 414*a - 6 to the form w*a + c*a**3 + f*a**2 + h and give f.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqj when four letters picked without replacement from {d: 5, j: 7, q: 2}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*w - 8, 4*q - 6*w + w = 12. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 2. Let p be n(5). Suppose -20 = 2*l + 3*l, -4*l - 1 = -p*d. Let o = d + 15. What is the remainder when 28 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -3*r, -3*n - 10 = r - 7*n. Let m(d) = 2 + d**2 - 1 - 2*d - r*d. Let k be m(5). Solve 0 = 3*c + 3*j - k, -4*c + 2*j = c - 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*h - 120, -2*h - 89 = -v + 4*v. Suppose -3*m + 5*m + 2 = 0, -2*d - m = -47. Let y = d + v. Is -3 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 - 174 + 709*l**3 - 208 + 558 - 242*l**3.\nAnswer: 467*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.006 - 0.014. Which is the nearest to t? (a) -2\/9 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2376, 2360, 2354, 2370, 2420?\nAnswer: 2516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t + 17*t = 46*t - 396 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((1*sqrt(36))\/sqrt(12))**2 - sqrt(3) - sqrt(3)) + 0)*-4.\nAnswer: -32*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878183?\nAnswer: 878183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21102122 + 11113?\nAnswer: 21113301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 162615.7g?\nAnswer: 162615700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 - (-532 + 541)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 o when four letters picked without replacement from obikklooolokl?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2.03.\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 0, 8 in descending order.\nAnswer: 8, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 6. Let o be h(-27). Suppose o*g + 150 = 26*g. What is the remainder when 299 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 1:02 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2930 - -3972. List the prime factors of n.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2 + 0 + 0 + h. Let c(n) = -2*n + 2. Give -c(a) + 2*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 49 = -497. Let x be 3\/(-6) + 91\/m. Which is the nearest to x? (a) -2 (b) 2\/19 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278 + -0.11596779\nAnswer: 277.88403221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 357552\/105 - 4\/10. Let k = -3412 + w. Calculate the common denominator of (-8264)\/528 - (-6)\/(-33) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1270*k - 137137. Give m(-108).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 4. Let l be p(-5). Let a = l + 17. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 - (-12978)\/70 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5 - 13) + 5 + 12 + -3 - -14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-12)\/(-10) + -1). Let m be (-2)\/6 + 1 + (-240)\/630. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 11250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + 27680\/60. Let o = u + -434. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 29*a = 0. Let i(s) be the third derivative of -s**4\/24 + s**2. Calculate i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*n = 5, 15*w = 12*w + 5*n + 28 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17763\/231659 or 1?\nAnswer: 17763\/231659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 450242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21557?\nAnswer: 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 6361*x**2 + 6361*x**2 - 24*x**4 + (3*x**4 - 2*x**3 + 2*x**3)*(0 - 3 + 2) to t + u*x**4 + f*x + b*x**2 + r*x**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 - 806 = -65*u + 476 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by 30.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -19 + -21 + -24 + 53.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by ((-4)\/(-12) - 4)*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = m - 4*h - 2, 5*m - 22 = 2*h. Let t be 6\/3 + 1\/1. Let c(v) = v**2 + 10*v + 23. Let u be c(-3). Solve t*i - 2 = -a + 1, -u*a = -i - m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/5*2\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-8) + (-1235)\/104 + 14. Solve v*b - 15 = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76168686 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 4*z, 1 = -3*z - 3*k - 2. Which is smaller: z or 2\/85?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.069, -0.1?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*q)*(-6 + 0 - 2).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**2 + l**2)*(1 + 568*l + 502*l - 292*l).\nAnswer: 778*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -28, -2\/11, -2\/209, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -974*d**5 + 2*d**2 + 4 wrt d.\nAnswer: -58440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(11\/6))\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1200, 1180, 1146, 1098, 1036, 960?\n\"Answer: -7*n**2 + n + 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2. Let d(o) be the first derivative of 30 - 2*o**3 - o**3 + 10*o**3 + 3*o**3 - 4*o**3. What is d(a(i))?\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 6*h + 238. Determine n(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480356, -480087, -479818, -479549, -479280, -479011?\nAnswer: -478742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/3 + 230*j + 1. Let r(f) = -2*f**2 + 11*f. What is o(r(l))?\nAnswer: -16*l**4 + 176*l**3 - 484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*t + 130, -3*t + 112 = -11*j + 6*j. Solve t*b = 29*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 7*v**2 + 10*v + 16. Let j be y(-8). Suppose 40*n - 36*n + 12 = j. Let d be 3\/(-6) + (-7)\/3 + n. Is -6 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0 - (-12 - (-1 - -17))) + -2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, s: 2}. What is prob of picking 1 s and 3 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*t*y**3 - 11*m**3*t*y - 3*m**3*t + 13*m*t*y**3 - 11*m*t*y**2 + m*y**3 wrt y?\nAnswer: 6*m**3*t + 78*m*t + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 5. Let n be g(-6). Which is smaller: 1\/11 or n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/(-108)*3648\/15048.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4871778 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*h + 281510, -28*h + 563032 = -24*h - 5*s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 399170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**4 + 2*z**2 + 2*z - z**2 - 2*z**3 - 4*z - 3*z**2 to the form x*z**3 + d*z**2 + t + r*z + l*z**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-10) + -21 + 109 + -83.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 7. Let o(a) = 3*a + 4. Let c(j) = 4*b(j) + 7*o(j). Let p(w) = -71*w**2. What is c(p(s))?\nAnswer: -71*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 448, 45, -1052, -3191, -6720, -11987, -19340, -29127?\n\"Answer: -58*w**3 + w**2 + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12491703.\nAnswer: 3, 7, 198281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -202 - -251.6. Let w = -5.6 + z. Let i = 43.7 - w. What is the closest to 1\/4 in -2, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 3*c**2 + 4*c - 4. Let z be b(2). Let w = z - -26. Is (-1 - -142) + w + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 35.5. Let a = 0 - 0.4. What is the third smallest value in a, -1, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14215725 to the power of 1\/2, to the nearest integer?\nAnswer: 3770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -31552\/147 at least as big as -216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74735 divided by -4?\nAnswer: 74735\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169\/28 + 25743\/4228. Let u = -5619\/604 + m. What is the common denominator of 29\/24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 11*i = 3. Suppose -i*r - 2*u = -14, -2*r - 2*u = u - 1. Solve 5*g + r + 8 = m, 3*g = -2*m - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*r + 923 - 940 = 0, -4*r = -2*m - 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 14*n**2 - 14*n - 28. Determine k(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*h - 54. Suppose h*x - 797 = -131. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 + 9*x**2 + x**2 + 9*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/6*498\/(-581). Suppose -3*v - 6 = 0, v + u = 5*w - 3*v. Let c(j) = -2*j**2 - j + 1. Determine c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0*b**2 - b**2 + 0*b**2. Let r(w) = 3*w**2 + w. Let i(g) = -23*g**2 - 5*g. Let d(z) = i(z) + 5*r(z). What is k(d(n))?\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q**3 - 4*q**2 - 13*q + 9. Let p be t(5). Let u be 2\/12 + p\/(-36). Let z = u + -54. Is z greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 7*h - 38. Give u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 7, b: 1, h: 8}. What is prob of sequence hkhb?\nAnswer: 49\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -5\/198, 4\/5, -2\/11, -0.2 in ascending order.\nAnswer: -0.2, -2\/11, -5\/198, 4\/5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -55*n**6\/24 + n**5\/20 + 22*n**3\/3 + 1020*n**2. What is the first derivative of k(j) wrt j?\nAnswer: -825*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*h + 11795 = 10827 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -2, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-63))\/((-1278)\/162 - -8 - (-6)\/(-216)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0 + u**3 - 19\/4*u**4 - 76*u + 14*u**2. Find the second derivative of d(z) wrt z.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -337, -1104, -2593, -5044, -8697, -13792, -20569?\n\"Answer: -40*c**3 - c**2 - 2*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 527415000 rounded to the nearest one million?\nAnswer: 527000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/6)\/(-1))\/(1\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 40 - 16. Calculate the common denominator of (2 + 15)*3*f\/(-54) and -23\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwwuruuruwr. What is prob of sequence wrru?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x. Suppose 2*u + 5*g + 11 = x, 0*u = -3*u - 5*g - 9. Suppose -3*f - f + 100 = 3*s, 0 = u*f - s - 40. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 1. Let u = n + 1.1. Let f be (-4)\/5*7\/((-42)\/(-15)). Sort u, -3\/2, f in increasing order.\nAnswer: f, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1036 - -1040 - (-1 - (42 + -2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213786 (base 9) to base 13\nAnswer: -46050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242469 and 522.\nAnswer: 484938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018761271?\nAnswer: 11, 29, 263, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.0416.\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.033077 rounded to two dps?\nAnswer: -98.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 21 = -5*j, 3*j + 0*j - 5*s - 35 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*k - 54, u + 3*u - 77*k = 71*k - 143*k - 75 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1021916, 2043846, 3065776, 4087706?\n\"Answer: 1021930*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o. What is the tens digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/(-12))\/(3\/1686) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7.97 (b) 273 (c) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 19900.214.\nAnswer: 59700.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 49*m + 788. Determine t(33).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t**2 + 2*t - 6. Let z(a) = -5*a**2 + a - 2. Let v(y) = -3*f(y) + 8*z(y). Calculate the least common multiple of v(-2) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 2. Let m = -28 - -26. Let g be (-1)\/m*140\/(-14). Calculate n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.95658 milligrams to grams.\nAnswer: 0.07795658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9416*m - 18638*m + 9218*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/(-126))\/(4\/54) - -3635. What is the greatest common divisor of r and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/43? (a) -69 (b) -1 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f + 2175 = 59*f + 22*f. Let b = 6 + -4. Solve f = -3*r - b*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:25 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*m - 3*m**2 - 766 + 1285 - 729.\nAnswer: -3*(m - 14)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + 2 + j - 2 wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 11*l. Let g(d) = 3*d**2 - 12*d - 1. Let o(h) = 4*h**2 - 12*h - 2. Let x(z) = -3*g(z) + 2*o(z). Let w(c) = 6*x(c) - 7*y(c). Calculate w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2.2 (c) 103 (d) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 - 46190*z**3 - 231055*z**2 - 184860*z = 0 for z.\nAnswer: -4, -1, 0, 9243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 6. Let h be s(-5). Let i(v) = 2*v + 2. Let d be i(h). Let m = -14\/3 + 4. Is d less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 644566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64\/79 - -4765\/2212. Calculate the common denominator of -95\/122 and d.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**6\/30 - 17*f**5 - 145*f**3 + 16*f - 18. Find the second derivative of l(j) wrt j.\nAnswer: -12*j**2 - 2040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 - 8*r - 3. Let h be j(-7). Suppose -3*b = -4*o + 5, -22 - 3 = -o - h*b. Solve 0*p + 15 = o*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 726.\nAnswer: -1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 125677.1059 and 712.6?\nAnswer: 124964.5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -12079447 = -60397232\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 6*t**3 + 12*t**2 - 8*t.\nAnswer: t*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17767 = 2*x - 3*v, -461*v = -460*v + 3. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 + 52 - 13*i**3 + (-2*i**2 - 3*i + 3*i)*(3*i - 7*i + 2*i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -240420201 (base 5) to base 9\nAnswer: -2067242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17028\/(-72)*-2)\/11.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6995444 and 8.\nAnswer: 13990888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 0*q = -6*q. Suppose -9 = -3*o + 3. Solve q*b + o*h = 2*b - 24, 0 = 3*b - h - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111292641*g*w + 399*w - 4570 wrt g.\nAnswer: -111292641*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -13 - (-2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/61 or 2?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 13 = 18*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47648 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189 + 117. Does 6 divide c\/(-9)*(1 + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-132 - 6843)\/((-1)\/1336). Round c to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.866891*19.\nAnswer: -795.470929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v + v**3 + 0*v + 15*v**3 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.29 + -0.99. Which is the closest to 2? (a) j (b) 1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9708 + 9710. Solve -40 = -3*t - 5*c, 0 = -t + 3*t - z*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x + 3. Let z(n) = 14*n + 4. Let u(k) = -4*m(k) + 3*z(k). Let l(g) = g + 16. What is u(l(f))?\nAnswer: -2*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/14 - (-3 + (-208)\/(-70)). What is the fourth smallest value in 0.5, -1\/5, 5, t, -18?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 20*m - 64. Suppose -2*w + 38 = m. Sort -2, w, 8, 1.\nAnswer: -2, 1, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47245745\/4 or -11811437?\nAnswer: -11811437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2294 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3073 and -0.1263.\nAnswer: 0.03881199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + j - 20 = 0, 5*x = 4*x + j + 10. Calculate the highest common divisor of 96 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + 13*p**2 + 3*p - 3. Let l(w) = -3*w**3 - 12*w**2 - 2*w + 2. Determine -3*l(k) - 2*u(k).\nAnswer: 3*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 0*l**2 - 2*l**2 + (-1 - 1 + 0)*(2*l**2 + 4*l - 4*l) - l - 2*l**2 + l + 3 - 3 - 18*l**2 to j + g*l**2 + u*l and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/15 - 2516*u**3\/15 + 70392*u**2 - 148173484*u\/15 + 147120118\/15 = 0. What is u?\nAnswer: 1, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 16 - -37 - (0 - 25)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 18*x + 16. Let c be v(-20). Let m be (-16)\/c + (-8)\/(-6). Solve m*a + a = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*n**2*p**3*r + 63*l*n**2*p - 2*l*n**2*r - 2*l*p**3 - 14*l*p**2*r + n**2*p*r - 39*n*p**3 wrt p.\nAnswer: 6*l*n**2*r - 12*l - 234*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 0*c + 56, 3*y - 7*c - 30 = 13*c - 35*c + 18*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.6283*10.\nAnswer: -626.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (63\/(-42))\/((-3)\/8). Suppose r*t + 32 = 2*u, -u = -2*u + t + 14. Calculate the remainder when 32 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*4\/8. Which is the third smallest value? (a) -3 (b) y (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 (base 9) to base 3\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313500 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98644 + 98646. Let -2\/21*w**s + 2\/21*w**4 + 0 + 0*w + 0*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p - 14. Suppose 0 = 3*n - 6 + 21. Let l = 10 + n. Let k(u) = 7*u - 9. Determine l*r(z) - 8*k(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2555?\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 133*u - 376. Let g(c) = 66*c - 226. Let r(v) = -5*g(v) + 3*k(v). Let w(p) = 29*p**2 + 1. Determine w(r(y)).\nAnswer: 138069*y**2 + 8004*y + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**4 - 2*z**3 + 4*z + 2*z**3)*(1488 + 2292 + 682 - 430) in the form r*z**4 + a*z**2 + m*z + i*z**3 + b and give m.\nAnswer: 16128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -18?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 483.3 - 483. What is the second biggest value in 2, j, -2\/9, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:35 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 552781147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*((sqrt(147)*3 + 3)*-1 - -3*(-1*sqrt(147) + -3)).\nAnswer: 19 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5063.344985 + -1.7?\nAnswer: -5065.044985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 + 765*d**2 + 5103*d - 1055. Give c(-146).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7*t = 6*t - 76, t - 404 = -5*b. Is 79 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1422)\/1264)\/((-14)\/(-560))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*z + 27 + 33 = 0, -45 = -3*t + 5*z. Suppose -6*r = -r - t. Let g = -7 - -11. Solve -l + g*l - r*i = -15, 3*i = 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -157, -237, -317, -397?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0659954 millilitres in litres?\nAnswer: 0.0000659954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 4*s - 53, -4*z - 4*s = -44. Suppose -b + 6 = -0*b. Suppose -z = -b*n + 5*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 5*u - 55 = 0, -4*u + 4 + 5 = 7*v + 11 + 25 + 17 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -556, -2, -1, 1, 7, -3.\nAnswer: -556, -3, -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65473?\nAnswer: 233, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 7*t - 1 + 169 + t.\nAnswer: 2*t + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**2\/2 - 2*o + 1. Suppose -n + 5*s = 16, 3*n - 12 = 2*s + 5. Let p(x) = 2*x - 21. Let t be p(n). Determine r(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1963275.699951 - 1963274. Let t = 1.7 - f. Round t to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -64 (b) -5 (c) -6 (d) 15.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1398, -1398, -1396, -1392?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26952 divided by -329\nAnswer: 26952\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 18. Let c(l) = -2*l. What is c(w(t))?\nAnswer: 4*t - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93248.87t in micrograms?\nAnswer: 93248870000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2 (c) 3 (d) 0.67 (e) 305\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18743840 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Suppose 7*o + o = -4*o. Let j(z) be the third derivative of 0*z**3 - 5*z**2 + o + 1\/24*z**4 + 0*z. Determine i(j(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110136979.\nAnswer: 7, 59, 2687983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11444051?\nAnswer: 11444051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a - 1. Let v be 3*(a - -3) - 2. Calculate the highest common divisor of v and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*n + 93*n = -1168. Suppose -4*j - 29 = 3*c, 0 = 2*c + j + j + 18. Sort 1, n, c in decreasing order.\nAnswer: 1, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6734.5 and 0.06206.\nAnswer: 417.94307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -16*((9\/15 - 126\/(-90)) + -854)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 130 - 12. Suppose 2*k - 262 = 5*q, -k - 2*q - p = -181. Let s = k + -92. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 8*s + 5*n + 96, -3*n - 6 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 37. Which is bigger: 0.05 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1545879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*68\/(-6). Suppose -5*i = 28 + l. Is (-6)\/4*84\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -58*l**3 - 6*l**2 - 5*l + 5. Let s(c) = -57*c**3 - 5*c**2 - 4*c + 4. Give -5*s(n) + 4*v(n).\nAnswer: 53*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/18)\/(2\/(-18)). Let c be 0*((-2)\/(-3))\/(z\/9). Solve -4*y + 5*y = c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from hhbhqhhhhbbhbhbqhhh.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7739*v**3 - 135425434 + 135425434.\nAnswer: -7739*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11110000100?\nAnswer: 11110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.7 (b) -5\/4 (c) -12161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150931, -302759, -454577, -606379, -758159?\nAnswer: -909911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a6a (base 11) to base 3\nAnswer: -1202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) -0.1527 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*g + 32, -4*k - 4*g + 18 = -g. Solve -2*y - 22 = -3*t - 8, 0 = -y + t - k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16039, 16036, 16033, 16030?\n\"Answer: -3*l + 16042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + d + 2*d + 25 - 24 - 7.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 803, 953, 1189, 1505, 1895, 2353, 2873, 3449?\n\"Answer: -p**3 + 49*p**2 + 10*p + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507295043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29374*b**3*r**2 + 39*b**3 - 56*b**2*r + 2*b*r - 2*b wrt r.\nAnswer: 58748*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 7*w - 2. Let d be g(4). Let k = d + 14. Factor -2\/3*q + k*q**2 + 4\/9 + 2\/9*q**3.\nAnswer: 2*(q - 1)**2*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-845)\/(-1352)*7\/(-14)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.70148 weeks in hours?\nAnswer: 13557.84864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/8 + 9*u\/4 - 21\/8.\nAnswer: 3*(u - 1)*(u + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-35))\/((-21)\/1575*70)\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -52, -54, -56, -58, -60?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 16) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from kzkrkah?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8835 - 1.2835. Which is the third biggest value? (a) -39 (b) 0.01 (c) -2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d + 8. Let z(b) = -7*b - 4. Suppose -29 = -3*r - 2*m, -5*m = -2*r + 7 + 6. Let y(q) = r*z(q) + 4*w(q). Calculate y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189827881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 144*p**2 + 667*p + 58. Let u be z(76). What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5))\/m**(11\/2)*m**(-18)\/m**20 assuming m is positive.\nAnswer: m**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:28 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 51*d**2\/2 - 7*d + 7789. Let h(b) = 25*b - 3. Calculate 5*h(l) - 2*j(l).\nAnswer: 23*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 + 140*x**2 + x - 34. Determine c(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 4 - 3*i**2 + i + 4*i**2 to f*i + m*i**2 + n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8580*m + 986606. Give v(115).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Let t be ((-20)\/s)\/((-4)\/12). List the prime factors of 4\/(-6)*(-45)\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 166374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 26*d**2 - 5*d. Let q(k) = -39*k**2 - 5*k - 15. Let f(l) = 141*l**2 + 18*l + 54. Let r(x) = 5*f(x) + 18*q(x). Give m(r(n)).\nAnswer: 234*n**4 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 2, e: 7, o: 2, l: 5}. Give prob of picking 4 l.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2561, 2548, 2525, 2492, 2449?\nAnswer: 2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(6) + 4)*5 + 3.\nAnswer: 23 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9968103 is divided by 261.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 55*p - 17. Let z be s(-17). Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/25377 and -59\/33.\nAnswer: 25377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 - 545.414. Let b = l - 0.58602098. Round b to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/3) - 9. Let f(a) = 9*a**2 - 9*a - 6. Let h(p) = p**2 - p - 1. Let x(j) = g*h(j) + f(j). Factor x(b).\nAnswer: 3*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10001010111100100?\nAnswer: -10001010111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 + -167. Let s(i) = i**3 + 3*i**2 - 13*i - 11. Let r be s(v). Suppose g - 5*g + 4 = 0. Solve -4*b + 12 = r*q, 2*b - g - 5 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-10)\/(-1125))\/((-20)\/(18200\/(-91))).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 37 - 10) + -12?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0, -61, 91, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216747 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4090013816 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (29 + 1)) + (-14201 - -14195)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -5, -19, -49, -101?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 0, 4*a + 4*c - 6*c = -1080. What is the tens digit of a\/((-5)\/1)*(-6)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(65)\/(sqrt(5) + sqrt(20)) + 2)*-3 + 0)**2 + 5).\nAnswer: 48*sqrt(13) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -42. Solve -o*y + y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324866?\nAnswer: 2, 127, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100207411*g + 100207411*g + 2 - 11*g**3.\nAnswer: -11*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 175\/42 - 4 - 121\/6. Let w(u) = -2*u - 15. Does 10 divide w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 79*t**2 - 199*t + 190. Let i be a(-77). What is the highest common factor of i and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 942 - 944. Let j(v) = 10*v + 8. Let z(o) = o + 1. Let s(k) = 2*j(k) - 14*z(k). Give s(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 6243.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2 - 0. Let m be (-3 - w) + (-7 - -16). Solve -2*f = 2*v + m - 15, 3*v = 4*f + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 + 4*w + 5. Suppose 26*k = 20*k - 139*k + 580. Let f(s) = 6*s**2 + 4*s + 4. What is k*o(d) - 5*f(d)?\nAnswer: -2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 46*c**2. Let k(j) be the third derivative of -j**4\/6 + 557*j**2. Calculate w(k(s)).\nAnswer: 736*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 456*j**2 + 15*j + 3. Let d(z) = -304*z**2 - 10*z - 2. What is 8*d(s) + 5*u(s)?\nAnswer: -152*s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**7\/280 + 19*l**6\/720 - l**5\/20 + 6*l**2. Let v(g) be the third derivative of b(g). Is v(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 19. Let k be c(24). Suppose k*z + 8467650 = -0*z. Let p = 2493530 + z. Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -84893\nAnswer: 143\/84893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a + 1. Let k = 14 + -9. Suppose -5*l - 1 - k = -4*p, 2*l + 9 = -5*p. Let o(c) = -c. Let s(f) = p*d(f) - o(f). Determine s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*g - 27, 89*g - 47 = -3*d + 90*g for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 8. Let n(w) = w**3 + w**2 + 59*w - 248. What is the smallest common multiple of n(4) and x?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 19, -2, -2174, 2, -5 in increasing order.\nAnswer: -2174, -9, -5, -2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -223459 times 2?\nAnswer: -446918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37252.18 weeks?\nAnswer: 22530118464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let x be i(1). Let r(y) = x*y**2 - 4*y**2 + 6*y + y. Let d be r(7). Is -1 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 2 + (5 - 7). Let d = y - -5. Do 3 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 4*x**2 + x - 4. Let q be v(-3). Suppose -3*y + q*y = 0, 3*b + 5*y - 3417 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/20 and -25\/994.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 16*o - 84 = 0. Suppose -5*f = 4*d - 2, 5*f - 4*d + o + 8 = 0. What is the units digit of (-15)\/f - (-1)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/14 (b) -2 (c) -0.3 (d) 95 (e) -21 (f) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -35804, 69, -5 in descending order.\nAnswer: 69, 41, -5, -35804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 220*w - 277*w + 46284. What is the highest common factor of 854 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213607 is divided by 26512.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 195454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9 + b**3 - b**3 + 11*b**2 + 3*b**3 + b**2. Let y(u) = -u**2. Let g(j) = s(j) + 12*y(j). Find the first derivative of g(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-1*3 + sqrt(119) - sqrt(119))\/sqrt(7) + 3.\nAnswer: -3*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -168786*i + 77. Determine f(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0*w**3 - 2\/9*w**4 + 4\/9*w + 2\/3*w**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 11*d - 8. Let b be ((-3)\/(-2))\/((-30)\/80). Let g be i(b). Solve 3 = p + g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 5*o + 2*o - 3 - o. Let x(r) = -6*r - 3. Let u(p) = 4*j(p) - 3*x(p). Differentiate u(z) with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 + 2*j**2 - 16. Does 8 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/42)\/(-1))\/((-8)\/(-7)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 899266 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a - 2?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 390.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/66 and 31\/4294065?\nAnswer: 94469430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -31876\/63 (b) -0.3 (c) -1\/10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 24523*l. Let h(q) = -29*q**2. Give o(h(m)).\nAnswer: 2523*m**4 + 711167*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132.121611s to days.\nAnswer: 0.0015291853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.206754 - -0.093246. Suppose 2*g - 4*g + 3 = i, 2*i - 2*g = -12. Sort -0.5, i, -6, o in increasing order.\nAnswer: -6, i, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 23*l**2 + 36*l - 72. List the prime factors of n(20).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*u - 7*u + 137 = 1447 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o - 4*f, -5*o = -4*o - 2*f - 7. Suppose 3*s + o*n + 17 = 7*s, 4*s + 2*n = 22. Solve b - 3 = -0*b - s*j, -2*b - 7 = -3*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7332 - 3132. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12407 + 12407 = 1241*c. Let 4\/3*x**4 - 2\/3*x**5 + 0 + 14\/3*x**3 + c*x + 8\/3*x**2 = 0. What is x?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1176028.633 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*z - 11*y + 10*y, -20 = 4*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(10)\/sqrt(180) - ((sqrt(2) + sqrt(2)*4 + 2 - sqrt(2)) + 5).\nAnswer: -5*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 - 25*v**3 + 30*v**3 + 206.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29903 + -29907. Put 97, f, 21 in increasing order.\nAnswer: f, 21, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000194 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 6391?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 58, 154, 300?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 2. Let u be n(2). Suppose u = 3*s - 5*s. Suppose -z + s = 1. Let f(h) = 6*h + 1. Give f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k + 6 - 11*k + 2*k**2 - 6*k**2 + k**3. What is y(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*8\/(-100) + (-76)\/(-380)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43978822 divided by -5?\nAnswer: 43978822\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + z**2 + (-10*z + 7*z + 5*z)*(0*z + z + 0*z) - 2 + z**2 - 3*z + 3*z in the form m*z + x + n*z**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/10)\/((-5)\/(-3)*63\/(-70))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -50 (b) -1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from {g: 2, l: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 5}. Give prob of picking 2 l.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5 = 5*s, 4*s + 2*g + 171 = 169 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/3162588 and 91\/265392?\nAnswer: 37951056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 25, 1572\/193 in decreasing order.\nAnswer: 25, 1572\/193, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 3185*r**2 + 19325*r + 22505.\nAnswer: -5*(r - 7)*(r + 1)*(r + 643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 = 7. Solve 4*f + h*j = 10, j + 1 - 6 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 + 2*v. Let m = -10 - -12. Let a(l) = -3*l**3 - 7*l**2 - 5*l. What is m*a(p) + 5*t(p)?\nAnswer: -p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*f - 8, -6 = -2*f - 3*n + 4. Suppose -s + f = 6. Calculate the common denominator of (s\/(-20))\/((-6)\/(-75)) and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 - 2. Let n = -20.1 + -76.9. Let x = n + 97.1. Which is the smallest value? (a) y (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.038 or -88\/19?\nAnswer: -88\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345*y + 237 wrt y.\nAnswer: 345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32433554 (base 7) to base 14.\nAnswer: -525a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*d + 13722 + 464 = -387*d for d.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*r + 2*y + 2*y, 2*r = y - 14. Let x be 0\/2 - 605\/r. Let w = 67 - x. Which is the nearest to 1? (a) 3 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3*a**2\/2 + 8*a + 1723. Determine i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1883\/1241775 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 3:27 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/60 + q**4\/6 + 56*q**2 + q. Let r(l) = -l. Calculate -2*k(y) - 9*r(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 15*j**3 + j**2\/2 + 3*j. Let a(t) = 72*t + 610. What is the remainder when c(1) is divided by a(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 184687 from 0.0566086.\nAnswer: -184686.9433914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 5*u + 7. Let r be z(-2). What is the second derivative of 34*g - r - 6532*g**5 + 0 - 40*g**3 + 6531*g**5 wrt g?\nAnswer: -20*g**3 - 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4807*-17.87.\nAnswer: -85901.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11567*q + 135. Let j(d) = 3*d. Calculate j(f(x)).\nAnswer: -34701*x + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 7*w + 2*w)*(-3*w**2 + 5*w**2 + 0*w**2) + 2 + w**3 - 2 + (2 - 4 - 6)*(2*w**3 + w**3 - 4*w**3) to y + q*w + p*w**2 + c*w**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43142 (base 5) in base 4?\nAnswer: 231222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 7. Let i be g(-6). Let m be (-10)\/(-35) + i\/(-21). Suppose -2*l = 13*o - 12*o + 7, 2*l + 3*o + 1 = 0. What is the closest to m in l, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -14. Let c(h) = -2*h - h**w + 2*h - 108*h**2 - 1 + 110*h**2. What is c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(9\/2)\/(((a*a**(-14\/3))\/a)\/a))\/(a**33\/a**34) assuming a is positive.\nAnswer: a**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01439941264 to 6 dps.\nAnswer: -0.014399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -83*u - 14. Let g be w(-2). Let k = g + -151. Let h(b) = -b**2 - b - 1. Let z(j) = 7*j**2 + 5*j + 6. Give k*z(q) + 5*h(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -46351.905 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + r**2 - 2. Let g(d) = d**3 - 1. Let p(h) = -5*g(h) + v(h). Let j be p(0). Solve 0*s + 9 = -j*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1535 (b) -1\/2 (c) -0.3 (d) 42 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 23 (c) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 5 + -2 - -422. Suppose 4*z - z + 2*q = f, 0 = 5*z - 2*q - 696. Suppose z*d - 143*d = -486. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 347.4?\nAnswer: -1042.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 4*l + 8. Let n = 7 - 12. Let a be u(n). Let j be 9*4 - 0\/a. Calculate the greatest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 6*s - 5*x + 53, 4*x = -s + 9*x - 32 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 24?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3455495, 3455493, 3455491?\n\"Answer: -2*l + 3455497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 7*y**2 - 2*y**2 + (y - 7*y + 3*y)*(4*y - 4*y + 3*y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - x + 5*x + 2*x - 3 + 3 + x - 2*x + 2*x + (3 + 0 - 1)*(-3*x - 2*x + 4*x) - x + 2*x + 2*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) 1 (c) 2\/9 (d) 9 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 3*o - 3. Let u be s(-3). Let t = u + 29. Suppose -t = z - 4. Which is the nearest to 1? (a) 0 (b) z (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*t**4 - 68604*t**3 - 1204031*t - 2 wrt t.\nAnswer: 984*t**2 - 411624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6190 and -89\/1238.\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1049709883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -304*y**2 + 7*y + 161. Let f(b) = -152*b**2 + 4*b + 84. What is 7*f(q) - 4*m(q)?\nAnswer: 152*q**2 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 - 12*d - 24. Give o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*y - 26*y + 18*y + (-2 + 3 + 3)*(2*y + 1 - 1))*((2*y - 4 + 4)*(-6*y**3 + y**3 + 0*y**3) + 0*y**4 + 0*y**4 - y**4 + 2*y**4 + 0*y**4 + 0*y**4).\nAnswer: -243*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12) - (-112)\/480) + (-41)\/(-10)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4566744?\nAnswer: 2, 3, 7, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, n: 4, f: 2, u: 1, z: 4, h: 1}. What is prob of picking 1 n, 1 g, and 1 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -252*d**3 + 14*d**2 - 10*d - 7. Is t(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206278.\nAnswer: 2, 17, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 36*d + 49. Let w be j(-17). Let h = w + -745\/9. Which is the nearest to 1? (a) -9 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h - 1890. Suppose -3*c + 3*i = -6*c + h, 5*c - 1050 = -2*i. List the prime factors of c.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7442, 7212, 6982, 6752?\nAnswer: 6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/1680 - j**7\/350 + j**6\/600 + j**5\/100 - j**4\/60 + 1731*j**2. Factor k(p).\nAnswer: p*(p - 2)*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3\/3 + 92*z**2\/3 - 64*z\/3 - 176 = 0. Calculate z.\nAnswer: -2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let f(d) = d**3 - 4*d**2 + 3*d - 1. Let c be f(2). Let b = 163 - 157. Sort c, b, w in descending order.\nAnswer: b, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t**2 + t. Determine x(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 34*z**2 - 5*z - 27. What is the units digit of k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Suppose 3*t - 6 = -0. Let a(o) = 14*o**2 - 11*o**t - 22*o**2. Give a(v(j)).\nAnswer: -76*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**20*q**(-18)\/q assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*7\/14*2*-4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72788\/12 + 18*17\/918 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42081\/10 + -4208. Sort 3, -1, -0.9, -24\/11, s in decreasing order.\nAnswer: 3, s, -0.9, -1, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101.07*-1\nAnswer: 101.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.59 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110110 - 100?\nAnswer: -10010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -10*t**2 - 115*t + 4043. Calculate h(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 148\/555 + 713\/(-30) and -77\/534.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -239, -356, -471?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*j + 1248. Let k be j\/24 - (-1)\/2. Let w = 28 - k. What is the remainder when 40 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-3 - 1) + -55 + 59)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34739.47 centuries in millennia?\nAnswer: 3473.947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 29*u**3 - u**2 - 2*u + 2. Let o be b(1). Solve 3*d - d - 4*j - 24 = 0, -o = -2*d + 5*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-3 - (-50710)\/(-15)))*75. Round k to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v**2 + 18127*v - 126258. What is s(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 200?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -34*k**3 - 2*k - 1. Let r be (9\/(-18))\/((-2)\/(-4)). List the prime factors of u(r).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -911.9084 - 0.0916. Let i = 891.64 + l. Round i to zero dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b + 801 = -263*b - 8580 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/4 - 5*m**3\/3 - 2*m**2 + m + 73. Let y = -63 + 36. Let j be 114\/y - 2\/(-9). Give c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27324*l - 760 = -27284*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69845 and 305.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or 824\/13?\nAnswer: 824\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*k + 276450 = 245*k. Solve 9*j + 2946 = k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 - 10*u - 1. Let k be b(-1). Suppose -5*r - 10 = 0, -12 = -0*o - 2*o + k*r. Factor 1\/2*z**o + 0 + 3\/2*z.\nAnswer: z*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 + 20*u**2 + 8*u + 9. Let q(x) = 2 + x + 2*x + x**3 - x + 5*x**2. Let v = 491 + -500. Calculate v*q(g) + 2*h(g).\nAnswer: g**3 - 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/10 + x**4\/12 - x**3\/6 + x**2. What is the remainder when k(1) is divided by 513\/99 - (-2)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80625*b**2*h**2 - 56*b*h + 5*b - h**2 + 20 wrt b?\nAnswer: 161250*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8966 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 37 = 208. Suppose -4*z + l + 3 = 0. Are z and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 213. Let c = -17 + 17. Sort c, -0.04, 1\/4, s.\nAnswer: -0.04, c, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -61.9.\nAnswer: -9.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9581668 divided by 9581668\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 79.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25190679 is divided by 999?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 1. Let l be h(-2). Let k be 4381\/9 - (-2)\/l. Let v = 898 - k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13532 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51872, 207550, 467018, 830276?\n\"Answer: 51895*q**2 - 7*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*sqrt(1008)*-3)**2 - (5 + 1*sqrt(1008))) + -3.\nAnswer: -12*sqrt(7) + 226789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3669 + 4\nAnswer: 3673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-2 - -2 - -2). Let t be ((-3)\/(-9))\/((-1)\/k). Find the common denominator of t*86\/10 - 0 and -48\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let a(j) = -j**2 + j - 1. Let i(r) = 3*r**2 + r - 2. Let y(d) = h*a(d) - i(d). Let z be (-8)\/12*3\/2. Calculate y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by 13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2047 + 0.1747. Which is the nearest to -1\/2? (a) r (b) 1\/2 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.8947t in grams?\nAnswer: 168894700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7*d. Suppose -2*m + f + 16 = d, 0 = -5*f + 2*f + 12. Factor m*j - 2*j**3 + 0*j**3 + 6 - 15*j**2 + 17*j**2.\nAnswer: -2*(j - 3)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 27*d + 897. Determine a(-9).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00095763313 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 121*i**6\/10 + i**5\/20 - i**4\/6 + 5*i**3\/6 + 2171*i**2. Find the third derivative of r(f) wrt f.\nAnswer: 8712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31398 + -31398. Solve 292*p - 294*p - 10 = 5*i, 2*p - 10 = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729918715 divided by -8587279?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(16*k - 11*k + 14*k) - 36 + 130*k + 36 + 4 - 4 - k + (-5*k + 0*k + 3*k)*(5 - 3 - 1) + 0*k + k + 0*k.\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*h*q**2 - 2*h*q + 77*h - 2*q**2 wrt q.\nAnswer: -194*h*q - 2*h - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19387812, 38775628, 58163444, 77551260, 96939076, 116326892?\n\"Answer: 19387816*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.936 millilitres to litres.\nAnswer: 0.124936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5635199 rounded to 2 decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -890 in descending order.\nAnswer: -1, -4, -890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2 - h**3 + 3 - 7*h - 4 - 6*h - 14*h**2. Let v be y(-13). Let r = -22 + 27. Which is the nearest to 2? (a) 0.5 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -588*x**5 - 2142*x**4 + 25125*x**3\/4 + 79191*x**2\/4 - 43725*x\/4 + 5625\/4 = 0?\nAnswer: -25\/7, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0) + -3 + 5. Suppose v*z = -2*z + 30. Determine k so that 2*k**3 + 2*k + 2*k + z*k**2 + 0*k**3 + 0*k**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-127)\/(-3))\/((-19)\/114). Let x = 256 + w. Let 4\/5*s**x + 0 + 2\/5*s**3 + 2\/5*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4881*x + 4883*x - 25*x**3 - 9763*x + 19*x**3 - 91*x**4 in the form i*x + g + w*x**3 + a*x**4 + l*x**2 and give a.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2108 = 3*i + 4*k, -4*i + 2*k = -k - 2794. Suppose 10*b = i + 410. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145.8 + 146. Let j(d) = d**2 - 6*d - 3. Let g be j(7). Let t(s) = 3*s - 9. Let o be t(g). What is the nearest to -2\/5 in o, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (21 - 0) + -5 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/((sqrt(8) + sqrt(288))*-2) - (-3*sqrt(847) - sqrt(315)\/sqrt(5)))**2.\nAnswer: 251001\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37585198?\nAnswer: 2, 7, 17, 79, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1 in decreasing order.\nAnswer: 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9885, -9889, -9897, -9909, -9925, -9945?\n\"Answer: -2*r**2 + 2*r - 9885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g - 16*g - 41*g - 2 + 24*g - 65*g to the form n + c*g and give c.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w + 20257 + 59256 = 0. Which is smaller: 2150 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478849 (base 10) to base 3.\nAnswer: 220022212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135366 and 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7216, 57714, 194786, 461722, 901812?\nAnswer: 1558346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20*8\/(-32) - -8. Sort 17, c, -2, 30 in descending order.\nAnswer: 30, 17, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15621, 125089, 422265, 1001001, 1955149, 3378561?\nAnswer: 5365089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a - 2. Let r be h(1). Let l = 41 + r. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 947415 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -61470911 not equal to -61470914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -26. Calculate the remainder when 27 is divided by 1 - x - (1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-21)\/(-14) - (-21)\/2 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775851, 1551778, 2327705, 3103632, 3879559?\nAnswer: 4655486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11, 2, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96, 324, 698, 1212, 1860, 2636, 3534, 4548?\n\"Answer: -y**3 + 79*y**2 - 2*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 3*l**2 + 2*l - 1. Let t be i(-3). Let x = -46 + t. Let r = x + 34. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884357632.\nAnswer: 2, 83, 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbbfb. What is prob of sequence fbf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l + 1. Suppose 0*t + t = 4*v + 42, -4*t + 3*v = -103. What is the least common multiple of g(-1) and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*0.1.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 5*n**4\/12 - 115*n**3\/3 - 240*n**2 + 2*n + 40. Find l such that a(l) = 0.\nAnswer: -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, 6, 287 in increasing order.\nAnswer: -4, 6, 35, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -971464 divided by -604\nAnswer: 242866\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179\/2 + -82. Let z = -3\/2339 - -231567\/4678. What is the common denominator of p and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*z**2 + 239*z - 5380 wrt z.\nAnswer: 74*z + 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35736823?\nAnswer: 107, 333989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007097 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -60970 divided by -130\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127159277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*d = -j + 9, 0 = 3*d + 9. Let x = -68 - -68.5. What is the closest to -1 in x, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -35dc?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 13*c - 86. Determine q(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/5? (a) 0 (b) 5\/25786 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -188 and -5923213.\nAnswer: -5923401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3210163237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4401*l**2 - 4*l - 182. Let z(r) = -2*r**2. Calculate f(z(o)).\nAnswer: 17604*o**4 + 8*o**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -50.9. Which is the closest to t? (a) 5 (b) 4\/9 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = o, -31 - 6 = -5*o - 3*y. Suppose -j - 8 = -o*j. Suppose -5*z - 107 - 15 = -3*f, 0 = -3*f - j*z + 94. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270, -2678, -4110, -5578, -7094, -8670?\nAnswer: -10318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27428, -27291, -27128, -26927, -26676, -26363?\n\"Answer: 2*h**3 + h**2 + 120*h - 27551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:37 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-1)\/(-4 - -3). Let t be (c\/8)\/(3\/(-78)). Solve t = -3*s - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (40 - (-4797)\/(-81)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = r - 3*t, 5*t - 13 = 2*r. Solve b = r*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n - 376 = -130 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*2)\/(sqrt(12) - (sqrt(1296) + sqrt(36))\/sqrt(3)))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4087 - 2*i**2 - 4093 + i**2 + 8*i. Suppose -d - 5*a - 19 = 0, -d + 16 = a - 3*a. What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.061259+-1\nAnswer: -1.061259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let d be 54\/(-8) + w\/(-16). Let v(o) = -2*o - 9. Calculate v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 489\/7. Suppose 4*t = 11 + 13. Suppose -3*d - 25 = -4*s, t*d = 3*d + 3*s - 21. Which is the biggest value? (a) -0.1 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.05 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144\/140*5*7 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.72 - -0.28. Let y = -2125243.99993 - -2125232. Let q = y + v. What is q rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 1, j: 1, e: 2, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -190*y**3\/3 - 156*y + 338. Differentiate n(r) with respect to r.\nAnswer: -380*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9105220*h**5 - 11365887*h.\nAnswer: -182104400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7 = -l, -3*t = -7*t - 4*l + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/1260 - g**4\/24 - 2*g**2. Let z(h) be the second derivative of a(h). Let u(v) = 0*v + v**2 + 0*v. Determine z(u(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -3272.\nAnswer: -3293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/7 - 6438*x\/7 = 0. Calculate x.\nAnswer: -2146, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - -1) + 0)\/(12 - 13). Let h be (-4 + 1)*(-14)\/21 + w. Solve 5*n = -3*k - 27, -h*k - 9 = 3*n + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 12*z**2 + 10. Let k be n(-12). Let i(g) = g**3 - 9*g**2 - 8*g + 21. Let c be i(k). Let j be (-2)\/13 + c\/13. Solve -j*b = 8 + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/392*-7*(117180\/40)\/27?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 64983626.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.31 + -0.49. Let x = g + -0.2. Let c = x + 5.00000063. Round c to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*y + 253*y - 18 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2010000102211 (base 3) to base 6\nAnswer: 40015334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -7, 0, 11, 26?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/i)\/(i**(4\/9)\/i))**(-14\/9)*(i*i**(-1\/3)*i)**(19\/2)*(i**(-2\/3))**(1\/30) assuming i is positive.\nAnswer: i**(17147\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015299 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11100?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/156 + (-2)\/(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*q**2 + 1233*q**2 + 5*q**3 - 746*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 215353.1us?\nAnswer: 215353100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 180\/(-16) - 2\/(-8). Let y(a) = -6 - 11*a**2 - a + 7 - a**3 + 15. List the prime factors of y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**3 - 5*j. Let v(y) = 11*y + 23*y**3 - y**3 + y. Determine 12*d(f) + 5*v(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-146))\/(5\/(-805)) - 48356\/4396\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/2, 4, 1 in ascending order.\nAnswer: -1\/2, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - 5*y, -4*l + 3*y + 0*y = 14. Let q = 0 + 0.13. Let p = 5.13 - q. What is the biggest value in p, l, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 237 + -207. Which is the biggest value? (a) 1 (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -8.8. Which is the closest to 1\/2? (a) j (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-500)\/60 + (1 - -7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:12 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 11*d**8\/336 + d**4\/24 - 3*d**2. Find the second derivative of z(q) wrt q.\nAnswer: 220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 41 = -7*f - 2*u, 0 = -f + 4*u - 5. Let d = f + -7. Solve d = -3*a + 5*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/80 - (14229\/(-1260))\/(-17)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(128))*2)**2 + 3 + sqrt(2) + -2 + (-1*sqrt(2) + 4)**2)*-6.\nAnswer: -3282 - 726*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p. Suppose 3*z + f - 3 = -0*f, f = 3*z + 3. Let k(i) be the third derivative of 1\/15*i**5 + 0*i**3 + 10*i**2 + 0*i + 0 + z*i**4. Calculate k(l(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2 - 7*t - 6 - 1 + t. Let a(k) = 7*k + 6. Let z(s) = -3*a(s) - 4*q(s). Differentiate z(x) with respect to x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**4\/12 - y**3\/2 + 9*y**2. Let c be z(3). Suppose 5*h + 37 = 4*p, -2*h + 4*h - c*p = -19. Sort h, 4\/7, 5.\nAnswer: h, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.5, -79, -4\/9?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let i be ((-3)\/x)\/(3\/(-4)). Solve i = -5*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 5*w + 2*q + 25, -4*w + 3*q - 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37\/(5661\/594) - 2\/(-17). Solve 4*y = -2*j - 1 - 1, 0 = d*y + 3*j - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11567\/348 - -133\/4. Is 0 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*z**3 - 296*z**3 - 409*z**3.\nAnswer: -573*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044 less than 4044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736134938?\nAnswer: 2, 7, 11, 97553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*x = 44, -2*v + 3*x + 12 = -24. Let j be 6*(-5 + (-36)\/(-8)). Let o be v - ((-6)\/(-2) + j). Calculate the greatest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttoo when four letters picked without replacement from ootttooooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4080736 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*f + 18, 3*o + 2*f - 368 + 349 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 7. Let o be m(-5). Let r be (24\/14)\/(o\/63). Suppose r*y - 4 = 2*y. Solve -y = -f - 2*c, 4*c - 5 = -5*f - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + 5*y**3)*(-y**2 - 2*y**2 + 0*y**2).\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Suppose 0 = p + 1 - z. Let k be (-4)\/(-6) + 1\/3. Is k greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18844 - 0.582\nAnswer: -18844.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21195 = 7423*n - 6952*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2 - 295514*a + 33701592 = 0.\nAnswer: -295628, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((((b*b*b**(-2\/15))\/b*b)\/b)\/b)*b*b\/(b**(2\/9)*b)*b)\/((b\/(b*b**(-2)))\/b)**(16\/3))**(1\/3) assuming b is positive.\nAnswer: b**(-64\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -433962, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, -1061, 4, -0.2, -72\/7?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000070462 to 6 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 37. Let w be ((-243)\/(-4))\/(t\/(-80)). Let b = w + -85. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404*u**4 - 9*u - 10*u + 8*u - 8*u - 4*u**5 + 33 + 24 wrt u.\nAnswer: -80*u**3 + 4848*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18778 is divided by 69?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/5 and -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 - 8*j**2 - 10*j - 18. Let q(p) = -8*p**3 + 17*p**2 + 21*p + 38. Let n(c) = 19*h(c) + 9*q(c). Suppose -2 = w - 0. Let o = w + 3. Give n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 20 = 4*x, 0 = -5*g + x + 44. Suppose g*y = y. Let j = -0.1 - -0.6. Sort y, -2, j in ascending order.\nAnswer: -2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -7005.\nAnswer: 53\/7005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3765 and 15900.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 272244661 to the power of 1\/2, to the nearest integer?\nAnswer: 16500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**3 + 0*b**3 + 24*b**3)*(-3*b + 0*b + 2*b + (2*b + 2*b - 5*b)*(1 - 4 + 1)).\nAnswer: 35*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 1, y: 3, l: 1, o: 5, n: 3}. What is prob of picking 1 o, 1 l, and 1 c?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5872827\/59589 + ((-20)\/18)\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c + 1191 + 609 = -50*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13671, 12925, 12181, 11439, 10699, 9961, 9225?\nAnswer: 8491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41949 and 1121?\nAnswer: 797031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13 + d - 3*d + 3*d. Give y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 16. Let v(g) = 2*g**2. Give n(v(u)).\nAnswer: -12*u**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2042*i**3 - 16457.\nAnswer: -6126*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -22 + (0 - -4) + -64\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 103*r**2 + 318*r - 1803. Let s be n(100). Sort 0.201, -2\/19, s.\nAnswer: s, -2\/19, 0.201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -1351, -2320, -3285, -4246, -5203, -6156?\nAnswer: -7105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -62*z**2 + 8989*z + 153. Calculate g(145).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89872.48 litres to millilitres.\nAnswer: 89872480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/6 - 8*m. Let i(l) be the first derivative of 0*l**2 + 0*l + 11\/3*l**3 - 57. Give i(q(f)).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from aaaagdddagagagaadag?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12062020927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 6*k**4 - 2*k**3 - 20*k**2 + 27*k - 10.\nAnswer: -(k - 5)*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -913, -4.\nAnswer: -913, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 31, -1, 0, 19 in descending order.\nAnswer: 118, 31, 19, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81315 (base 15) to base 4.\nAnswer: 1203313232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -63. Suppose -3*q + 8*q + j - 31 = f, 0 = 4*q + 4*j - 12. Solve -4*t + 3*v = -35, q - 47 = -5*t + 3*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 31*i + 18 + 10 + 30 + 30*i.\nAnswer: i + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 17. Suppose 4*c + 0*a - 4*a = 16, -3*a = 2*c + v. Solve c*m = 3*m + 2*h + 3, -5*m = 5*h + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4\/3 (b) 6 (c) -3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 1:10 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 15*q**3 - 2*q**3 - 3.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -161, -332, -505, -680, -857?\n\"Answer: -w**2 - 168*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s*w**4 - 46*s*w**3 - 5*s*w**2 - 3*s - 2*w**4 - 2*w**3 - 6*w**2 - w - 3 wrt w.\nAnswer: 120*s*w - 276*s - 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 + r**4 + 25*r**3\/6 - 5*r**2 - 3*r. Let g be w(25). Let f(o) = -2*o - 9 - o**3 + o**2 - 2 + o. What is f(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -428, -1018, -1850, -2924?\n\"Answer: -121*x**2 - 227*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-36)\/21)*(-12)\/10. What is the closest to 0 in r, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(55)\/sqrt(320).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -5818?\nAnswer: 174.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-7)\/2)*4\/(-60). What is the fourth smallest value in 2\/13, q, -2, -1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:52 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.6. Let m = 60 - 59.8. Suppose -5*z - 66 = -2*o, o - 9 = -2*o. Which is the smallest value? (a) z (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168534 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6917372067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-72)*17*(-2 - 1). Let x(j) = -j**3 - 18*j**2 - 22*j - 13. What is the remainder when x(t) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -7*u**3\/3 + 103*u**2\/2 + 36*u. Calculate the remainder when 84 is divided by b(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/35 - (-8)\/10. Let o = 197\/9 + -22. Which is the second biggest value? (a) 1 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 180*d**3 - d**2 + 1. Let c be i(2). Suppose -v + 4*v + c = 0. Let t = v + 870. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/25)*n)\/(n\/n**(3\/2))*n\/n**(2\/5)*n*(n**(-1\/4)\/n)\/n*n)**(20\/3) assuming n is positive.\nAnswer: n**(277\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 47b?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 83 + 59 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25999147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28697677 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + z + 770, 2*z = -5*u - 662 + 1960. Let n = 176 - u. Let p = 90 + n. Let l(m) = m + 1. Determine l(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.51 - 21.51. Let v = -0.34 + 0.04. Let y be (-6)\/7*(-31)\/93. What is the fourth smallest value in v, -4, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232007939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*m**3 + 2*m**2 - 221*m**3 - 84*m**3 - 209*m**3.\nAnswer: -191*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.87 - -0.67. Which is the closest to 2? (a) u (b) 2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/4*(37 + -32)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*((-6)\/(-3))\/4. Let b(c) be the third derivative of c**4\/8 - 4*c**3\/3 - 4*c**2. Let r be b(u). Solve -3*l = 3*p + 3 - 6, -4*l - 3*p = -r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -1371, -3241, -5855, -9213, -13315, -18161?\nAnswer: -23751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/(-25) + ((-216)\/21 - -4). Which is the nearest to n? (a) -9 (b) -0.012 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -71*w + 2. Let p(m) = -72*m + 3. Give -4*p(q) + 5*t(q).\nAnswer: -67*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -49. Let s = h + -36. Calculate the highest common divisor of 72 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*(z\/(((z**(-5)*z)\/z)\/z))\/z*z)**27 assuming z is positive.\nAnswer: z**(675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9922 from -0.24.\nAnswer: 9921.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 - -173. Suppose 5*s + z = -1. Sort s, -1, -22 in decreasing order.\nAnswer: -1, s, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14825 is divided by 5514.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 971c + -86?\nAnswer: 9696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9130*r**2 + 8995*r**2 - 18123*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501959580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let p = b + -2. Solve 4*d + 22 = 2*r, -2*d = -0*r + r + p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = 2, 2*q + r - 37 = 0. Let p = q + -6. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 242\/8 - (-1)\/(-4). Suppose 78*q - 97*q - 342 = 0. Let j = w + q. Calculate the smallest common multiple of 5 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 - 25 = 2*h - 2*x, 1150*h - 1158*h + 2*x + 145 = 3*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 2*z + 1. Let v be w(-2). Solve 1 + v = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x\/((x\/x**4)\/x))))**8*(x\/x**(2\/17))\/x*x*x**18)**24 assuming x is positive.\nAnswer: x**(27288\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 - 9*m - 18. Calculate the smallest common multiple of g(12) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85383 is divided by 28459.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4516 - 2606 + 1402 = 715*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8626 (base 9) to base 16\nAnswer: -18c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.02 (b) 1 (c) 9 (d) -38 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57081405 to the nearest integer?\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117.33 and 8.\nAnswer: -938.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -215, -525, -943, -1463, -2079?\n\"Answer: m**3 - 63*m**2 - 14*m + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 71. Let r be (-3 - 1)\/(d\/(-4)). What is the highest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104659345357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26245, -105279, -237003, -421417?\n\"Answer: -26345*i**2 + i + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 360 = -18*d - 69*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259124\/(100\/28 - (-12)\/28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 10*f + 1. Let o be (7 - 0) + 0\/5. What is the tens digit of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(1820\/2429) + 35?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.2 and -236338.3.\nAnswer: -236330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 0 + (4 + 0 + sqrt(1216) - (-5 + sqrt(1216)*3)) + 0).\nAnswer: -48*sqrt(19) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*q + 2*g - 7*g, 0 = 2*q - 3*g + 2. Solve -4*z + q*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-90)*-3)\/(-10 - 490\/(-42)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2. Let s(m) = -6*m**3 - 4*m**2 + 7*m. Give -4*q(c) - s(c).\nAnswer: 2*c**3 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y - 5. Let i be 4\/(-5) - 266\/(-95). Suppose -6 = i*u - 4*u. What is the tens digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110050355 (base 7) to base 4.\nAnswer: -121023131120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2310303 + 1111121?\nAnswer: -1133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4608698 millimeters in micrometers?\nAnswer: 460.8698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqyk when four letters picked without replacement from qyqqyyyqykyyqqqqyk.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 788*c - 52010. Determine f(66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(490)\/((-1*sqrt(40))\/sqrt(4)))\/(sqrt(7) + sqrt(7)*-1*-1 + (sqrt(336) + sqrt(21))\/sqrt(3)).\nAnswer: -4 - sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -6733 (c) 5 (d) 4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 42 + 106 = 0. Let g be -1 + 7 - 10\/15*15. Let t be 0 - g\/(-2) - d\/(-4). Solve 2*x + 4 + t = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**3 + 54*c**2 + 804*c + 14. Let r(k) = -7*k**3 - 18*k**2 - 268*k - 5. Let z(o) = -3*j(o) - 8*r(o). Find the second derivative of z(a) wrt a.\nAnswer: -24*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288747 - -65248?\nAnswer: -223499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15) - ((-248)\/20 + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -h - 4*o, 4*o + 10 + 3 = -3*h. Let k = -131\/3 - -45. Which is the closest to h? (a) k (b) -5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -214*u**2 - 4*u + 12. Let r be h(2). Let i = r + 1863. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35997000 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4 - -5) + 3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*z**4 + 99*z**4 - 2 + 19*z**4 - 18*z**4 + 19 with respect to z.\nAnswer: 756*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)*j)\/(j\/((j*j*((j\/(j*j*j\/(j\/(j\/j**8))*j)*j)\/j)\/j)\/j)*j) assuming j is positive.\nAnswer: j**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1766\/8167 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*-211926\nAnswer: 635778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 33534.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-15) + (-45)\/(-25). Suppose -2*s = k, -983 = -r - 3*r - s. Let i = 395 - r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -17566, 318 in decreasing order.\nAnswer: 318, 19, -17566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9*b + 5. Let r be (b - -2) + 0 + 0. Is (683 - 6)\/(r - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -457.\nAnswer: 73.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14184 plus -4525?\nAnswer: -18709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 946. Let i be u(0). Let o = -5639\/6 + i. What is the common denominator of -23\/7 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1296))\/(sqrt(2) - ((sqrt(24)\/sqrt(4) + sqrt(6))\/sqrt(3) + sqrt(2))))\/(sqrt(324)*-4 - -3*sqrt(16)).\nAnswer: 3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113794 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 20*l - 1. Let o = -7 + 9. Suppose 0 = -0*t - 2*t + o. Is w(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522415 (base 12) in base 2?\nAnswer: 10000010011110111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*w + 49*w + 71*w)*(2*w**4 - 5*w**4 + w**4) + 10*w**3 - 10*w**3 + 17*w**5.\nAnswer: -149*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -843, -1215, -1969, -3297, -5391?\nAnswer: -8443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-10) + 34\/(-20))*(-2526)\/(-12). Does -417 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*c - 22038 = -9678 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 11. Let b be a(-4). Suppose 4*q - 2*q + b*j - 32 = 0, -4*j - 16 = 0. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 28*k + 2*k - 18*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1656\/40848)\/(3\/4)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 1690, 3809, 6776, 10591?\nAnswer: 15254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 555788.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -121*x**5\/60 + 27*x**4\/8 - 2*x**2 - 35*x. Find the second derivative of h(s) wrt s.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 540 and 433 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j*m**2*p + 16*j*m*p**2 - 2*j*m*p + 24*j*p**2 + 18*j*p - j - m**2*p**2 - m**2 + 2*m*p**2 wrt p?\nAnswer: 32*j*m + 48*j - 2*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -26935 + h**2 + 26935. Let k(u) be the first derivative of u**2\/2 + 1. Calculate k(t(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 664565515?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.182935, -2\/69, -4?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -49*b + 750. Let z be v(15). Let h be (-1)\/z + 3509\/660. Factor h + 6*y + 3\/4*y**2.\nAnswer: 3*(y + 1)*(y + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 220516.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59686 smaller than 67\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 582 or 576?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 - 99. Suppose 5*f - u = -4*f. Calculate the lowest common multiple of f and ((-8)\/(-5))\/((-2)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/((-144)\/(-219)) - -1 and -37\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - 5*i**4\/12 - i**3\/3 - i**2\/2 + 2*i. Let o = 24 - 40. Let d = -20 - o. Determine f(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -8, -3, 0.2, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6 + 15)*(39*l - 24*l + 16*l) + 5*l - 2 + 2 + (-l - 2*l + l)*(3 + 4 - 5) + 3*l - l - l to m + w*l and give w.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -6, 1, 28, 81, 166?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2, -652 in ascending order.\nAnswer: -652, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 677361 times 0.048?\nAnswer: 32513.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxu when four letters picked without replacement from xxtxxuutxtuxtuxtxrub.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/8 + 4\/16. Suppose 0 = -2*z + 2*f - 4, 5*z + 26 = -2*f - f. Let g be a\/2 - (-1318)\/z. Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -194, -155, 226, 1117, 2686, 5101, 8530?\n\"Answer: 28*z**3 + 3*z**2 - 166*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18637597.\nAnswer: 11, 1694327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1507999170 and 979.\nAnswer: 1508000149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384477528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 3*u + 4. Let s be b(3). Let p = s + -4. Suppose p = g + g + 6, -2*j - 2*g = -2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0015 - -4.0185. Let q = -0.08 + 0.1. Let f = b - q. What is the closest to 1 in -1\/3, f, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**4 + 5*c - 6*c**4 - 4*c - 6*c**2 as r*c**4 + d*c + f*c**3 + x*c**2 + p and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 54 = 5*j + 5*a, -a + 14 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3\/5, -5, -0.4, 2 in descending order.\nAnswer: 21, 2, 3\/5, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + -3 + 8 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + ((304 - 304) + (0 - -67) - -4) + -12?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8268 - -22433. Which is bigger: s or 14166?\nAnswer: 14166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711714555.\nAnswer: 3, 5, 79, 200201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 2*g + 1. Let x be k(1). List the prime factors of -10*(x + -5 + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 11:50 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 19 = -1. Solve -2*z + z + r = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81578438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**26*(q\/(q**(41\/3)\/q))\/q)\/((q**(-6\/7)\/q)\/(q**11*q*q*q*q)) assuming q is positive.\nAnswer: q**(634\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -0.4.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -613, -17, -5, 4 in ascending order.\nAnswer: -613, -17, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 259258 (base 14) in base 11?\nAnswer: 803409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 3) + 1 + 1. Let l = 5 - 1. Suppose l = y*t - 3*t. Solve -2*r + 3*a = 23, -t*a + 21 = r + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 6 - -15 - (12 - (-1 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744284835?\nAnswer: 5, 19, 313, 58661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 297.8?\nAnswer: 293.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2332b41 + 0?\nAnswer: 2332b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (594\/(-55) - -10)*70\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-12)\/(-16)*2. Suppose x - 242 = 3*k, -2*k - 146 = -m*x + 20. Let t = -45 - k. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - 122?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = -4*v, -3*v + q + 773 - 769 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/17164 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-3) + -1)*(22 + -28). Calculate the remainder when 67 is divided by (-1 - p\/2) + (7 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 + 5*o - 4. Let c be b(4). Let p(a) = -a + a + a + a + c. Let i(d) = d**2. What is i(p(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.42 - -0.42. Let s = i - -12. Which is the second smallest value? (a) s (b) 2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.999 + 0.001. Let k = r - 25.8. What is the closest to k in -2, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26280 divided by 365?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -2652307290.\nAnswer: 2652307288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/3, 0.4, -0.13, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 - q**2\/2 + 73*q + 1. Let t(j) = j + 5. Give -4*m(i) - t(i).\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2819152462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**7\/1155 + w**6\/110 + 4*w**5\/165 - w**4\/22 - 3*w**3\/11 + 252*w**2. Determine f so that g(f) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1170*q**5 + 194809*q**4 - 289071*q**3 - 192064*q**2 + 660*q = 0. What is q?\nAnswer: -1\/2, 0, 2\/585, 2, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-4566)\/19786)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 205 - 11*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103460.0534 - -0.02586?\nAnswer: 103460.07926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 12*u**2 + 20*u + 5. Calculate the remainder when 32 is divided by y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 1. Suppose 0 = 4*l + 11 + 145. Let f = l - -58. What is the remainder when f is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:20 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 4*q - 13, -2*q = g - 1. Solve g = -5*t + 36 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 3 + (2 - 4). Suppose -z*y + y = -12. Let g be (-8)\/4 - (-1 - y). Sort -1, g, -3 in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 46500876?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyyffffffyfyfffffy. What is prob of picking 1 f and 3 y?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -69. What is the remainder when 26 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - k)*(-k + 1 - 1) + (2*k**2 + 0*k**2 - 4*k**2)*(-2 + 5 - 5).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 90, -2, -33 in descending order.\nAnswer: 90, -2, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 200566.662 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + k + 110 = 10, 0 = -3*x - 2*k - 101. Put -3, 0, x in ascending order.\nAnswer: x, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from nnnxbxbn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3129 + 269?\nAnswer: 3393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-11)*k*k\/(k**(-11)\/k))**(-26) assuming k is positive.\nAnswer: k**(-676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, m: 7}. Give prob of picking 4 m.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5605 and 1330.\nAnswer: 78470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*r - 5 = -7*r, 4*g - 3*r = -3. Let w be 11 + 3 - g - 2. Solve -w - 13 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l + 44*l = -5*x + 7, 3*l + 9 = -x - 0*l + 2*l for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14955292 a multiple of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64 - 371137696729.\nAnswer: -371137696729.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -65990*u + 725870. What is m(11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let i = 0 - -14. Let r be ((-7)\/i)\/(2\/(-12)). Solve a*t + r = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 12 = 75*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 204.287 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 3016*g + 3018.\nAnswer: -2*(g - 1)*(g + 1509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-112))\/((-11)\/88)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 26378 = -5*b, 6*b - 3*v = 2*b + 21107. Suppose b = -3*q + 7*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -114 (b) 2\/11 (c) -7\/115 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1306*y**4\/7 - 33948*y**3\/7 - 35792*y**2 - 374592*y\/7 + 2304\/7 = 0. What is y?\nAnswer: -12, -2, 4\/653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 = -11. Solve 0 = 2*y - o*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.1, 27\/2, -19, 35, 0.5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(sqrt(75) + 2) - (sqrt(192) - (sqrt(192) + -2) - (sqrt(363) + 0 + sqrt(363) + sqrt(363)))))**2.\nAnswer: -6500*sqrt(3) + 15175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 48*p**2 + 177*p + 132.\nAnswer: 3*(p + 1)*(p + 4)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 55815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367902?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1*10\/(-8). Let d = -17\/36 - v. What is the third smallest value in 3, -2\/19, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 530047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 14*a**2 + 16*a - 9. Suppose -7*x + 8*x - 45 = 0. Suppose x*i - 15*i - 450 = 0. Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9*p + 25. Let n be (18\/4)\/(4\/8). Let m = n + p. What is the remainder when 11 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**2 - 3*n**2 - 3*n**2 + 87*n - 26*n**2 - 87*n + (-4 + 4 + 2)*(-2*n**2 - n + n) to the form m + w*n**2 + i*n and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-8 - 2) + 6 + 25 + -10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -10*f**3 + 545*f**2 - 1285*f - 780 = 0.\nAnswer: -1\/2, 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 149 and -0.29.\nAnswer: -43.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 4*b**2 - 4*b - 4. What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.92 + -1.08. Let h = j - -2. What is the closest to h in 1, -10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 19*z - 5*f + 24 = 0, 8 = 4*z - 2*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 9*l - 41*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 3*j + 36 = 0, -4*i + 5*j = -36. Let t(v) = -v + 1 + 5 + v**2 - 6*v + 9*v**2 - v**3. Calculate the least common multiple of t(i) and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 + (-10)\/(-3). Let v be (-3)\/s*(-1 - 9). Solve 3*w - 1 + v = 0, 3*x - 5*w = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-45))\/((2\/5)\/(-2)). Suppose 2*d + s*t - 894 = 0, -3*d + 292 = t - 1055. Suppose k + d = -9*k. Which is smaller: k or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 30319*o**2. Let h(x) = x**2. Determine v(h(w)).\nAnswer: 30319*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.064296 or -289?\nAnswer: -0.064296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*j + f - 0*f, 4*j - 4*f + 16 = 0. Suppose 3*v - 567 = 2*v + 3*o, v = o + 569. Let m = -2828\/5 + v. Calculate the common denominator of m and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g**2 - g**2 - 10 - 19 + 7*g**2 + 28*g + g**3 + 4*g. Let v be h(-22). Are v and -249 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-8))\/((-1)\/(-4)). Suppose -2*d - t*o = -6*d - 2, 2*o - 2 = 5*d. Suppose 2*u = -d*u + 4. Solve f - 5*r - 5 = -2*f, u*f - r = 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 14. Suppose 2*u - 1 = 4*x - 7, -3*x - 13 = -5*u. Suppose 0 = 13*j + 8*j + 42. Which is the fourth smallest value? (a) 0.4 (b) m (c) j (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4690 and 115910?\nAnswer: 811370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and 21.47.\nAnswer: 57.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79817 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j + 117. Let g(v) = 3*v - 26. Let y(u) = -18*g(u) - 4*l(u). Let c(q) = 45*q. Calculate c(y(s)).\nAnswer: -90*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000102743187 rounded to seven dps?\nAnswer: 0.0001027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -20.6. Let w = v + 1.4. What is the closest to -1\/3 in 2, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*v - 3*v - 3*g, -4*v - 26 = 2*g. Let w = -1.8666 - 1.1334. Which is the second biggest value? (a) w (b) -1.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 + 2 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 < 40402\/469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -270604 > -270616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 410637068 or 410637071?\nAnswer: 410637071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-37298)\/(-850) + -44)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2 + -10 + -1 - -3)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 2:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 522, 2089, 4700, 8355?\n\"Answer: 522*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 482973.6681 to the nearest one hundred.\nAnswer: 483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.537329 from 0.\nAnswer: -12.537329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37843 and 793801?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 6*w - 3. Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(18\/(-4))\/3. Let t = b + 8. Suppose -t*k + 6 = -9. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 5*s - 2*p, 6*p - 25 = 3*s - 9*p - 127 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1068)\/10)\/((-6)\/(-8)). Let i be 1*(-6)\/48 - (-1145)\/8. Let g = y + i. Put -2\/7, -3, g in decreasing order.\nAnswer: g, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 22*w - 22*w + (-w - w + 4*w)*(w + 2*w**3 - w) + (-2*w**3 + 2*w - 2*w)*(3*w - w + w) - 7*w**4 + 3*w**4 + 2*w**4.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 42*s**2 + 11*s + 638. Calculate f(0).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 101. Suppose -5*v - 116 = -4*m, -2*v + 3*v - 2*m = -s. Let w = -11 - v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = -v. Suppose v*k + 5 = 7*k, -4*k - 458 = -2*g. Is ((-4)\/6)\/((-2)\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 49. Let y = -6 - g. Let b(a) = -34*a + 6*a**y + 17*a + 17*a. Let z(f) = -4*f. What is b(z(n))?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 884201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6852, -53, 2 in increasing order.\nAnswer: -53, 2, 6852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 87, 211, 393, 639, 955, 1347, 1821?\n\"Answer: x**3 + 20*x**2 + 5*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 13939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (276\/72 + -3)*(-7)\/((-105)\/6). What is the closest to g in -1, -15, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25528 - -25531. Solve -x + 3*v = 7, 5*x - v - 9 = z*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z**(-2\/9))**(-3\/2)\/((z\/z**5)\/z*z\/z**(-1\/3)*(z*z**(1\/5)*z*z)\/z**(-6)) assuming z is positive.\nAnswer: z**(-131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 39*i - 7. Let o(f) = -f**3 - 2*f**2 - 7*f - 6. Calculate the lowest common multiple of d(1) and o(-3).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401425 (base 6) in base 9?\nAnswer: 47158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - 153?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113234223 (base 5) to base 13.\nAnswer: 15485a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118 + 3?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k - 30*w - 2523 + 2565, 7 = 5*k + 8*w - 11*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -0*b - 4*b + l, 3*b - 4*l = 65. Suppose 3*r - 2222 = 4*n, 0 = 4*r + 2*n - 4*n - 2956. What is the remainder when b is divided by (-2)\/(-7) + r\/63?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnv when three letters picked without replacement from bbvvnnbpnnbpplt.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/8 + d**3\/6 - 13*d**2. Let a = 1897 + -1902. Give l(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 5, 2, -0.4, 3\/7, 4 in descending order.\nAnswer: 53, 5, 4, 2, 3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13835\/14 - 986. Suppose -3*m = m. What is the common denominator of (-99)\/(-48) + -1 + m and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.901 + 0.099. Sort 0.5, w, -18\/7 in increasing order.\nAnswer: -18\/7, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18191, 17871, 17551, 17231, 16911?\n\"Answer: -320*a + 18511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 + -668\/3. Suppose 3*h + 3*s = -3, -2*h - s - 5 - 2 = 0. Let c = h + 10. Is g less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57599 - 8\/3*(-69)\/(-46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7 + 5 + 5 - 2. Let u(w) = -w + 2. Let f be u(0). Let r be (f\/6)\/((-2)\/(-6)). Let q(d) = d + 1. Give r*q(i) - h(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88)*-1 + (-1*-2*sqrt(88) - sqrt(88)))\/(sqrt(392) + -1*-2*sqrt(392) + sqrt(392)).\nAnswer: 5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 8*n - 3. Let b be k(-7). Suppose 0*c - 8 = -c + 3*q, 0 = -c + 5*q + b. Solve 0 = 2*x + c - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-3)\/(-6)*-10. Let n be k\/(0 + 3 + -2). Let q be 2\/n + (-64)\/(-110). What is the closest to -1 in q, 1, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Solve 15 = u*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 - -110 - (1 - 10) - (-19 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 732*t**2 + 308*t.\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/9 + 1 - -2. Let o = -2 + 1.6. Suppose 381*k - 6 = 383*k. What is the closest to -1 in k, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -470*k**2 - 3*k + 86. Let v(m) = 463*m**2 + 3*m - 88. Let h(g) = 7*a(g) + 6*v(g). Find the second derivative of h(t) wrt t.\nAnswer: -1024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 39*k**3 + 9*k**2 - k + 2. Let q be x(7). Suppose -r + 4*r - 41471 = 4*b, -4*b = -r + q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245833 is divided by 723?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*x - 343*x - 655 = 2*c, 4*x = -5*c + 2*x + 71 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdf when three letters picked without replacement from dfdpp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9073 and -2.99.\nAnswer: -27128.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001010001001011001 (base 2) to base 7.\nAnswer: -10015655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 28*p - 1. Let i be n(13). Let l = -20 - -2. Let o = l - i. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 184*y - 1640. Give a(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372083.\nAnswer: 271, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by 135252?\nAnswer: 19\/11271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/20 + (2\/(-10) - -2). Solve -4*c + j = -l, 5*l - 7 - 2 = -4*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 46*l + 434. Calculate the remainder when h(-8) is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2346 + 2367. Solve 4*g + 3*f + 4 = n, g = 3*f + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r - 3*o - 25, 3 = -o. Let f = r - -11. Calculate the remainder when 47 is divided by 1\/f - 426\/(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**3 - 75*p**3 - 124*p**3.\nAnswer: -232*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133 - 2401032?\nAnswer: -2344344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-6) + (-5)\/(-10). Let w be 2\/z - (-80)\/(-48). Which is smaller: -2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -3 (b) -503 (c) -0.14 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 + -155. Suppose -p*k = k - 108. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {k: 2, a: 1, f: 1, v: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -67*z**3 - 37*z + 256. Let q(n) = 22*n**3 + 13*n - 85. Let l(d) = 6*g(d) + 17*q(d). Differentiate l(j) with respect to j.\nAnswer: -84*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248832 and 1728?\nAnswer: 248832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555574 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: Suppose k + 4 = -0. Let q = 0.047 + -0.047. Which is the nearest to q? (a) -0.2 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-29)\/28 + 2565\/(-570).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4 + 2. Let y(c) = 0 + g*c + 0. Let b(s) be the second derivative of s**3\/2 - 155*s - 51. Calculate y(b(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 23*u - 150. Let b be x(6). Which is smaller: -196\/15 or b?\nAnswer: -196\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 100 = -94 + 166 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t + 5*h - 14253, 2*t = -2*h + 7126. Let p = t + -28397\/8. Find the common denominator of p and 4\/(-20) + 142\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/6 + 1)*(-8)\/(-3). Sort u, -2, 0 in decreasing order.\nAnswer: 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.253045 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17421*p**3 - 10*p**2 - 14*p + 2 wrt p.\nAnswer: -104526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/84 and -73\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31011 (base 4) to base 13.\nAnswer: 4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from eoeeeeo.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/6*3\/(-10). Let j be ((0 - -2) + -6 + 4)*1. Suppose -6*w = -j*w. Is w at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.59 - -0.58999962. Round a to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9253 and 2375.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3360*g + 1947. Let n(v) = 3359*v - 1947. Let h(f) = -4*n(f) - 3*y(f). Differentiate h(q) wrt q.\nAnswer: -3356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 15*g**2 - 16*g - 17. Determine o(-13).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3954 + -3950. Calculate the remainder when 52 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -367, -7625?\nAnswer: -7625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u + 3. Suppose 0*w - 5*n = w - 12, 0 = -5*w - 2*n + 106. Calculate the remainder when l(4) is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/((-1)\/14). Suppose -99 = 6*t - 3*t. Let g = y - t. Calculate the remainder when 28 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/5138 and 47\/9.\nAnswer: 46242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-17)\/(425\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9)*(-5 + -1). Suppose 2*l = 4*s + 7*l - t, -l + 1 = s. Let c(z) = 7*z + 1 - s*z - z - z**2. Determine c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11267950 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 3*b + 4*b + b - 7*b + 3*b + (0 + 4 - 5)*(b + b + 0*b) - 63*b + 99*b - 114*b + 2 - 2 - b + (4*b - 3*b - 3*b)*(5 - 4 - 3).\nAnswer: -77*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from zuaaukq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/532 and 47\/24?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62294 is divided by 7772.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 2*o**2 + 5*o**2)*(-10*o - 2*o + o) + 0*o**3 + 0*o**3 + 3*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t - 6 - 3*t**2 - 8 - 2*t**3 + 5*t**3. Let i(s) = -s**3 + s**2 - 6*s + 5. Suppose 4*a = 140 + 32. Let d = a - 49. Calculate d*u(k) - 17*i(k).\nAnswer: -k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 5 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3433652.\nAnswer: 1\/1716826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 20146 + 35217. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107469 is divided by 107360?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.7. Let t = 0 + l. Let y = t - 0.34. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 85.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnuq. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a**2 - 10*a + 17. Suppose 6*t + 147 - 423 = 0. Suppose -20*c = -t - 94. Calculate m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1377 and 306.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s - 1. Suppose 3*c + 12 + 3 = 2*q, 2*q = 6. Let r be c - (-4)\/((-8)\/(-10)). Suppose 5*u - 13 = r*y, 3*u = 5*y + 1 + 3. Determine g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-21))\/((-186)\/651)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29.0147185 + 5\nAnswer: -24.0147185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00168580965 to six dps.\nAnswer: -0.001686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - 9*s + (-5 + 5 + 1)*(2*s + 0*s + 0*s))*(s**3 + 0*s**3 + 2*s**3).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 161720 divided by 2488\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 303088712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45066664 to the power of 1\/2, to the nearest integer?\nAnswer: 6713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 7*g + 384. Let s = 196 - g. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0 + 0*t**2 - 11*t + 5\/4*t**4 - 10\/3*t**3 + 1\/4*t**5. Factor m(p).\nAnswer: 5*p*(p - 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*(x**21\/x)\/x)))\/x**(3\/2))\/(x**(-2\/7)*x\/(x\/(x\/(x*x**(4\/9)*x*x)*x))) assuming x is positive.\nAnswer: x**(2549\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - 0.34. Let p = -183.88 + 186.88. What is the nearest to 0 in p, -0.02, m?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36685, 73368, 110051, 146734?\n\"Answer: 36683*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = -52. Suppose 2*v - u = -3*q, -3*q = -5*v - 24 - 26. Suppose -3*g = -g - q. Put -2, g, -1 in increasing order.\nAnswer: -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -130 + (-13 - -14) - (-6 - 5 - 0).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**3 + 372*g**2 - 3728*g + 9840 = 0.\nAnswer: 5, 6, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*f + x, 2*f + 10*x - 14*x - 26 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60100 + -35410. Is z at least as big as 24689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296 - -319. Suppose 5*t + 243414 = p*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -267*c**2 - 1. Let i(g) be the second derivative of -g**4\/4 - 477*g - 1. Give y(i(u)).\nAnswer: -2403*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*b - 198*b + 16 + 19 - 35.\nAnswer: -126*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - -107 - (0 + 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 7:24 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 973884162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:35 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-77)*7*-1. Let z = x + 29. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(720) + (-1 + sqrt(720))*-3)**2 + sqrt(720) + -1 + -3.\nAnswer: -132*sqrt(5) + 2886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*p - 4*n - 17098 + 17064, -n = -2*p - 3*n + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*c**3 + 30 - 30 + 3352*c**3.\nAnswer: 3580*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 195\/(-15) - (-2 - -1). What is the common denominator of 2 + (-17)\/a - 1 and -41\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4548 and 35\/736?\nAnswer: 836832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 201*c + 1056 + 922 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/((-27)\/(-162)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 1. Let c(t) = -5*t + 2. Let u(k) = 3*c(k) + 4*f(k). Let v be u(2). Suppose 2*z - v*p = -6, 2*p = 4*z + 1 - 7. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045\/7 + (-8)\/28 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 0*n**2 + 16*n**2)*(-2 - 2*n + 2 + (-1 + 0 - 1)*(-2*n + 0*n + 4*n) + 3*n + 2 - 2).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -349852 divided by 17\nAnswer: -349852\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 5:20 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-26)*(126\/5)\/7 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -200?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*n**3 - 180*n**3 + 145*n**3.\nAnswer: -374*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -59.\nAnswer: -46\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170037666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, 3, 5, 0.71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217806061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 15) + 33 + (-1 - 12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980)*1 + sqrt(495)\/(sqrt(18)\/sqrt(2)))\/((sqrt(121) - (sqrt(121) - (sqrt(121) + sqrt(121)*-1*-2 - sqrt(121))))\/sqrt(11)) + -1.\nAnswer: -1 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - 3) + 15 + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttw. What is prob of sequence twt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1204\/(-2709))\/((-543)\/135 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(6\/(-20))*-17. Let m = 34 + r. List the prime factors of 4\/(-6) - m\/6.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 77.2. Let r = a - -9. What is the third biggest value in r, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.33 + -67. Let g = h - -0.07. Which is the third smallest value? (a) g (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 3, 943, -7.\nAnswer: -7, -3, 2, 3, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72160709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfnnjfjsnffjfjf. What is prob of picking 2 j and 1 s?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5, w: 1, y: 1, i: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-3))\/(2\/6). Let p(k) = -k. Let g(a) = -12*a + 6. Let q(l) = g(l) + 2*p(l). Let f(o) = -5*o + 2. Let u(j) = -8*f(j) + 3*q(j). Give u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w - 107 = 341 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942060.\nAnswer: 2, 3, 5, 7, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.26896ms to minutes.\nAnswer: 0.001187816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 20, 15*d + 5*q + 31796 = 17*d. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 58312?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/15 - r**5\/60 + 50*r**2 + 5*r - 7. What is q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -19*o**5\/5 + 17*o**2\/2 - 3. Find the second derivative of l(k) wrt k.\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, l: 1, j: 1, a: 3, z: 2, n: 1}. Give prob of sequence zln.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4794072 times 1\nAnswer: 4794072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvizq. Give prob of picking 1 i and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 100?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-168))\/(8\/14)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 136. Suppose -3*k + x = -2010 + 640, i = -k - x + 450. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.8041 nanometers in meters?\nAnswer: 0.0000001528041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14 + 2 - 11 + 7*a - 37*a - 7. Let r = 16 - 22. Is t(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - w**3 - 15*w**2 - 3*w**2 - 5*w to f*w + o + p*w**3 + i*w**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-10.57\nAnswer: 4.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -40 in descending order.\nAnswer: 0.1, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 37*z = 16. Suppose -3*j - 13604 = z*r - 4*r, -3*r - 3*j = -20421. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-4))\/(2\/(-8)). Suppose -v*f + 5*b - 2*b + 1413 = 0, 5*f - 3*b - 2359 = 0. Is 43 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 44*u - 369.\nAnswer: -(u - 123)*(u - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175\/3 + 169\/6*r**2 + r**3 - 187\/6*r.\nAnswer: (r - 2)*(r + 1)*(6*r + 175)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 198 = -3*b - 1031, 5*b + 2036 = -4*s. Let c = -253 - b. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) + 3*-2*sqrt(1296) + sqrt(1296))\/((-3*sqrt(27)\/sqrt(3))\/sqrt(3)))**2*-4.\nAnswer: -3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - -1 - -8 - -11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 15*i - 290. Calculate q(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1909920?\nAnswer: 5729760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -15*s + 4*y + 563, 0 = 5*s - 5*y - 2725. List the prime factors of s.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2040030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, -2, 172828, -8 in ascending order.\nAnswer: -8, -2, 0.1, 0.4, 172828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*z = 570*z + 4158 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 + 2)\/(-2) + 2. Suppose m + 0*m = -4*b, -3*b + 5 = 2*m. Let l be 2\/(3\/(1 + -4)). Sort b, z, l.\nAnswer: z, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 24*a = t - 21, 0 = 5*a + 2*t - 105. Find the third derivative of -9*q**5 - 11*q**2 + 7*q**5 + a*q**5 wrt q.\nAnswer: 1140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*586.4\nAnswer: 1172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184756 and 51238.\nAnswer: 25311572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*g + 243*g + 1570 + 102 = 0 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 57*h - 205. Let u(d) = -35*d - 405. Let j be u(-12). Is 50 a factor of f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-1464)\/(-144))*(0\/7 + 3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 5*f + 6. Let w be m(1). Let b(o) = 2*o**2 + 25*o + 18. Let x be b(-12). Put 4, w, x, -6 in decreasing order.\nAnswer: x, 4, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5494921 (base 10) to base 13.\nAnswer: 11a5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46*3*(-81)\/(-6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12023207 rounded to the nearest 100000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let c(b) = -b**2. Let p(w) = -w**2 - 12*w**2 + 2*w**2 + 3*w**2. Let r(n) = 35*c(n) - 5*p(n). Determine r(q(u)).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.1 and 29.26.\nAnswer: 295.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/30 + l**4\/24 + 3*l**3 + 5*l**2 - 19*l. Let u(v) be the first derivative of r(v). What is the units digit of u(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(72) - (-1 + sqrt(72) + 0)**2 - -1*(-2 + sqrt(72))**2).\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*s + 280*s + 2 + 614*s.\nAnswer: 1208*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in decades?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 98*n + 34. What is the hundreds digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 + 889 = 5*g. What is the greatest common factor of g and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/142 and 45\/497.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -0.3606?\nAnswer: -0.28848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = -d. Let v be 236\/9 + 2\/d. Let s be 4148\/32 - 3\/(-8). What is the highest common divisor of s and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/((-1)\/(0 + -7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-28) - 12\/(-8)*6\/63\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 2 - 3*f**2 + 3*f**2 - 4*f**3. Suppose -2*u - 1 = -5. Let n = 0 - u. Let r(g) = 21*g**3 + 16*g**2 - 11. What is n*r(i) - 11*b(i)?\nAnswer: 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.991775um in millimeters?\nAnswer: 0.005991775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*h - 31. What is the second derivative of 10*a + 12*a - 2*a**h + 31*a**2 - 11*a wrt a?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) - (sqrt(90) + -3*sqrt(90)*3))\/(sqrt(40)\/sqrt(8)*6).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512 and 102538240?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3\/(-4)) - -4. Suppose 4*x + x = q. Suppose 4*r - 3*c - 157 = x, 4*c + 86 = 3*r - r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6))\/((-1001)\/(-429)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 24 = 0. Suppose 2*a + g = 0, -a - 46 = -5*q + 3*a. Solve q*o - 1 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnqj when four letters picked without replacement from {z: 1, a: 1, h: 4, j: 11, q: 1, n: 1}?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/5 - (-60)\/150 - -44. Is j greater than or equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*s - 21 = 0, -4*o + 14 = 4*s - 6*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -20, 6, 74, 202, 408, 710?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 2575?\nAnswer: -28\/2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-260 - 34*c**5 + 262 - 31*c**5)*(-1 + 4 - 1)*(-5 + 9 + 9) + (2*c**4 + 0*c**4 - 3*c**4)*(-c + c - 2*c) - 5*c**4 + 5*c**4 - c**5.\nAnswer: -1689*c**5 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003151609911 to seven dps.\nAnswer: -0.0031516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-30)\/(-11))\/(3\/(-2)). What is the closest to b in -0.5, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-93)\/62)\/(1 - 267\/266)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2 + 1. Let s be d(-2). Let c be (175\/15)\/7*30\/25. What is the third smallest value in s, -0.3, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose z = f - 441, -u*f - 2*z + 5*z = -1768. Is 3\/(-3)*f\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-18)*(1 - 10\/2). Let g = -6 - -5.7. Let k = -0.8 - g. What is the nearest to o in k, 3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/o)\/(o\/(o\/(o*o**(1\/11)))))**(1\/3) assuming o is positive.\nAnswer: o**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 - 947*k**2\/3 + 2224*k\/3 - 212 = 0. Calculate k.\nAnswer: -318, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21220211 (base 3) in base 12?\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - -0.6. Let h = j + -4. Which is the third biggest value? (a) h (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*h - 45*h - 47*h - 1041 - 4505 - 44*h.\nAnswer: -2*h - 5546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.404 in -35, -5, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1291361060 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.1 and -961.92.\nAnswer: -964.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w**2 - 155 - 21*w**2 + 9*w**2 - 17*w**2 - 22*w**2.\nAnswer: -3*w**2 - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/8, 1\/9, 3\/2, 2 in descending order.\nAnswer: 2, 3\/2, 1\/9, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + -100110?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 8983288.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 33 - 10)*(3*f - 6*f + 2*f).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259522, 259533, 259532, 259513, 259470, 259397?\nAnswer: 259288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 604708675 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78649.\nAnswer: 78649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/110 and -107\/4420.\nAnswer: 48620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*g - 20 = 7, -4*t = 2*g - 30. Let o(z) = -z + 1. Let h be o(-2). Let i = t - h. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/135*18\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12187 divided by -203\nAnswer: 1741\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/9)*f\/f**(-1)*f)\/(f**1)**(-46))\/((f**(-1\/5))**36)**(-1\/14) assuming f is positive.\nAnswer: f**(15413\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 286.\nAnswer: 29\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.84 + 0.16. Let j = -2.987 + p. Round j to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1204*d**3 + 330*d**2 - 12. Let v(a) = -a**3 - 4*a**2 - 1. Let o(s) = -12*v(s) + y(s). Find the third derivative of o(n) wrt n.\nAnswer: -7152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 0.5, 1\/5, 5 in increasing order.\nAnswer: -5\/3, 1\/5, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322 - 325. Let x(b) = b**3 + b**2 - 2*b + 1. Calculate x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134\/(-3618)*(1 - 19).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2 - 4 - 4*q + 7. Let m be j(-1). Suppose -r - 12 = -m*r. Solve c = -r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*(s**(-13)\/s)\/s assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s + 36*s + 23*s + (-2*s - 3*s + 6*s)*(2 + 2 + 0).\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -58, 8628.4, 5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 184. What is the units digit of r\/(-12)*-96*(-6)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4436214ml to litres.\nAnswer: 0.0004436214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Let y(b) = 4*b**2 - 33*b + 33*b. Give a(y(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99379 is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 36*c**2 + 51*c - 56. Does 12 divide k(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/8*(-9 - 3). Let p = g + -105\/4. Let m = -1.2 + -1.8. What is the closest to 1 in m, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 9*l**2 - 10*l + 2. Let q be f(10). Suppose 0 = -5*m + z + 37, 2*m + q*z - 22 = -0*z. Solve 3*o + 1 = -m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-3)*3\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 11:20 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + m**4 - 11*m**3 + 0*m**4 - 39394*m**2 + 39395*m**2 - 3*m + m**4 to the form c + d*m**3 + w*m**4 + r*m + o*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:00 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 16*h**3 - 21*h**2 + 16*h - 5. Suppose -a - 37 = 7*s, a + 22*s - 23*s - 3 = 0. Let q(p) = -3*p**3 + 4*p**2 - 3*p + 1. Calculate a*b(r) - 11*q(r).\nAnswer: r**3 - 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 50. Let t(r) = 10*r**2 + 75*r - 24. What is the remainder when n is divided by t(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66853*h**2 + 115088 wrt h.\nAnswer: 133706*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:26 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1961, -1960, -1959?\n\"Answer: p - 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 4. Calculate f(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -53, -81, -111, -143, -177?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 = -4*l, -m + 0 = -4*l + 10. Let i(s) = s**2 - m*s - 2*s**3 - 2*s - 3*s + 2*s. Let t(h) = h. Determine -i(n) - 5*t(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (390\/(-728) + (-2)\/(-7))*-28 and 34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 939 divide 12551613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 821 - 820.9. What is the nearest to 147\/5 in -2, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409414*g + 409452*g - 2736 = 0 for g.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 543 = 177. Let p = 380 - w. Suppose 5*r - 292 = 2*k + 353, 0 = 5*r + 3*k - p. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113230 - -310?\nAnswer: -112320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.99. Let q = f + 0.49. Let p = -4.5 + q. Sort p, 1, -3 in decreasing order.\nAnswer: 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/7)*z\/z**(-5)*z**(-2\/5)\/(z**(-2\/5)*z))\/(z**6\/z**(4\/7)*(z*(z\/(z\/z**(-3)*z))\/z)\/((z*(z**6*z)\/z*z)\/z*z)) assuming z is positive.\nAnswer: z**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:14 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 79023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*t = -0*t - 214*t - 4785 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3232 - 1210?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -26204511 and -26204511 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 331283627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38913108 is divided by 10557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(((-27)\/2)\/9). Let 3*l**p - 7*l**3 + 4*l**3 - 3*l**2 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.8632 to one decimal place.\nAnswer: 147.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 5*s**4\/12 - s**3\/6 + 4*s**2. What is the derivative of t(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -35. Let d = j + 19. Solve -2*v + 3*o - 7 = 0, -4*v = -o + d*o + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-4) - 3)*-10. Suppose m*c - 386 = 159. Suppose -131 = -6*v + c. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -22*t + 22*t + 12*t. Let i(x) = 2*x**2. Give n(i(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 2\/15 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 246?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 48*i**4 - 96*i**4 + 102 + 14*i + 27*i**4 + 38*i**4. What is the first derivative of b(a) wrt a?\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 - 3*g + 1. Let v be (-1)\/(-3) + -5 + (-2)\/(-3). Let u be q(v). Let a = 239 + -275. Is u less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.9 + 4.1. Let y = -19.1 + -8.9. Let u = q + y. Put 3\/5, -2, u in decreasing order.\nAnswer: 3\/5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 4*d**3 - 4*d**3)*(-5*d - d - 5*d) - 55 - 7*d**3 + 2*d**4 + 55.\nAnswer: 13*d**4 - 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5079, -7023, -10255, -14769, -20559, -27619, -35943?\nAnswer: -45525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785\/3332*56 + -64?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101283680 divided by -20256736\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-45))\/(8\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 380, 382, 384, 386?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca9 - -3?\nAnswer: cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 316.6712 centuries?\nAnswer: 31.66712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*z + 101 = -423, j - z - 122 = 0. Let o = j - 17. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -248 in 5, 0.06, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31873 - -31910. Solve -10*p - 243 = -t*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 72.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 less than -0.021?\nAnswer: -199.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7784178 divided by 1297363\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1985a0 - -4?\nAnswer: 1985a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 24938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3398)\/(-4290) - 12\/20. Let o = f + -2\/195. Find x, given that 0*x + 0*x**2 - 3\/11*x**4 + 1\/11*x**5 + 0 + o*x**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14279, -15654, -17951, -21176, -25335?\n\"Answer: -a**3 - 455*a**2 - 3*a - 13820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750509 is divided by 942?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -2)\/(5 - 4) + 2. Is (-2)\/b - (-14067 + -7 + -5) 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 (-7289)\/6*(26 + -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1 + sqrt(153) + -1)**2 - ((sqrt(153) + sqrt(153) + sqrt(153) + -1 + -1)**2 - sqrt(153)).\nAnswer: -765 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272550848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 6*u + 7. Let l be b(2). Let v(y) = 2*y**3 + 6*y**2 - 3*y - 4. Let w(a) = -a**2 + a + 1. Give l*w(r) + v(r).\nAnswer: 2*r**3 + 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4888735\nAnswer: 2\/4888735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 + 2 - 1. Let w(v) be the third derivative of 0*v + 1\/2*v**3 - 1\/24*v**4 + 290*v**2 + 0. Determine 4*j(d) - 3*w(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22262989649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*l - 333*l - 307*l + 1337*l - 371*l + 1 - 1.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**3 + 41*o**2 - 43*o + 5. Let q(r) = -3*r**3 - 21*r**2 + 20*r - 2. What is 5*q(z) + 2*y(z)?\nAnswer: z**3 - 23*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/6569?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25655*q**2 + 11841*q wrt q?\nAnswer: 51310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 302*x - 39561. Determine l(131).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 843109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1227218\/99 - -12396. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/((-2)\/((-6)\/1)). Suppose v - 5 = b. What is the remainder when 26 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559700 rounded to the nearest 10000?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1)*(-183*l**3 + 139237 - 139237).\nAnswer: -366*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19495, -20006, -20851, -22024, -23519?\nAnswer: -25330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-145) - (-6 + 29\/5) - 24\/35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 32*z**2 - 354*z + 16062. Determine l(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4 - 1068*f**3 - 4261*f**2 - 5322*f - 2128 = 0.\nAnswer: -1064, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(11\/5)*h))\/h**(-2\/33)*h**(9\/7)*h**(-4\/13)\/h assuming h is positive.\nAnswer: h**(-32453\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33474)\/63*9\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.98 + -8. Let z = 3.98 - t. Let o = 4 - z. Which is the nearest to -1\/2? (a) o (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -122. What is the nearest to 0.1 in -24\/7, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23876?\nAnswer: 2, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 6*j**2 + 3*j + 2. Let i(n) = -3*n**3 - 11*n**2 + 6*n + 3. Let o = 12 - 7. Let l(u) = o*y(u) - 3*i(u). Factor l(r).\nAnswer: -(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15599 smaller than -2002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**4 + 1. Let r(h) = -15*h**4 - 6*h**3 - 9*h**2 - 9. Let t(v) = r(v) + 9*u(v). Solve t(j) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*y, 2*b = 4*b + 2*y + 34. What is the common denominator of (-2)\/6 + 8\/15 and (-517)\/(-18) + b\/72?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c - 3*h - 16 = 0, 14 = 3*c - 2*h. What is the units digit of (-5)\/(-5)*(36 - c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/16 - (-230)\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 * -60\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + (-53 - -51).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -629, -4810, -16155, -38246, -74665, -128994, -204815, -305710?\n\"Answer: -597*p**3 - 2*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 308971\nAnswer: 45\/308971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (-14 - ((-4 - 5) + 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*w + 1 + 8, 5*j + w + 15 = 0. What is the hundreds digit of 181041\/273 - j\/(78\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/21, 0.5, 0.4, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*x + 87*x - 33*x.\nAnswer: 601*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1368492664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Suppose -v*f + f = -4. Suppose -f*k + 63 = k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3*k**5\/80 + 17*k**4\/16 + 10*k**3 + 24*k**2 + 4*k. Factor a(b).\nAnswer: 3*(b + 1)*(b + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 10. Let k be a(-7). Suppose -k*u = -u - 9. Let v(x) = 2*x**2 - 2*x - 2. What are the prime factors of v(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419*a*b - a*p**3 - 2*a*p**2 + 2*b*p**3 + 47*p**3 wrt b.\nAnswer: 419*a + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114091 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 35*b - 538. Let o(z) = -18*z + 270. Let q(t) = -2*k(t) - 5*o(t). Does 40 divide q(49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263677011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 648, 1286, 1928, 2574, 3224?\nAnswer: 3878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*y + 2*y. Let d = y + -9. Suppose -5 = -3*m + 5*o - 7*o, 4*m + 5 = -5*o. Solve -4*b + 2*b + 2 = 0, 0 = -d*j + b - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*134\/4. Let o = 111\/5 - m. What is the third smallest value in 4, 2, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093125 rounded to five decimal places?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17004 = -4*z - 5*s + 42872, -4*z = -2*s - 59876. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 181, 553, 1099, 1819, 2713, 3781?\nAnswer: 5023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from jigppmgm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 2*k**2 - 26 - 29*k**3 - 78*k + 78*k + 2*k**4 as y*k + l*k**4 + a + h*k**2 + d*k**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*h + 203 = 0, 166 = 3*d + 3*h + 37. Suppose -4*v = -7*v - 15, 4*u - d = -v. Solve -4*i = -27 + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 5*f**2 + f - 2. Let m be s(5). Suppose 5*b - 4*b - 313 = 2*x, 0 = m*b - 5*x - 935. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4\/3 + 2\/9*t**2 - 14\/9*t = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3\/15*-5. Let g(s) = -106*s + 2. Let k be g(c). What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12002 + -51?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1530716 and 1672?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -19. Find the third derivative of -636*r**h - 2*r**2 - 5*r**2 - 12*r**2 + 628*r**4 wrt r.\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 131456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/20 + 7*f**4\/12 - 2*f**3\/3 - 3*f**2 - 3*f. Let x be s(6). Let c = x - 3. Solve -c*m + 5 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94.555*-0.626\nAnswer: -59.19143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 29. Suppose 12 = 4*o, 4*c + 0*c - 3*o = p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjtmjvvjljtvtvt. Give prob of sequence tj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbv when three letters picked without replacement from vvvvvvvvbvbvbvv.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*j = 0, 5*i - i - 7 = 3*j. Let l be -13*(3*-1 - i). Let a = l - 8. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -8. Suppose p*t - 23 = -3*m + 14, 33 = 5*t + 2*m. Suppose -t*l + 64 = -61. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 19*d**2 - 24*d - 24. What is the remainder when j(8) is divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = 13. Let c(v) be the third derivative of 4219*v**4\/24 + 5*v**3\/6 + 207*v**2. Let l be c(b). What is l rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/3 - 1\/3. What is the second biggest value in d, -31, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 74248*l**3 + 12*l**2 - 222736*l - 148496 = 0. Calculate l.\nAnswer: -1, 2, 18562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*(sqrt(171) - (sqrt(171) + sqrt(171)*1)))\/((1*sqrt(72))\/sqrt(8) + sqrt(9)) + -1)**2.\nAnswer: 15*sqrt(19) + 875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957*x - 1954*x + 51 = -3*g, -2*x + 1 = -x for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10116 divided by 281\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4917\/2999 + 427335321\/29990. Let n = b + -14263. Calculate the common denominator of 87\/302 and n.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-1*(sqrt(192)*-3)**2 - (sqrt(192) - (sqrt(192) - (sqrt(192) + (sqrt(192) - (4 + sqrt(192) + sqrt(192))) + 2))**2)).\nAnswer: -9195 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.0807 kilometers in nanometers?\nAnswer: 147080700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 = -0*r. Which is the second biggest value? (a) -2\/7 (b) 2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0. What is the smallest value in -2, n, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2859*n = 2714*n - 3915 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 8*s + 2. Let y = 17 + -11. What is the units digit of m(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o - 2*l + 1, -2*o = 4*l + 10. Let v(q) = 135*q - 3*q**o + 2 - 77*q - 59*q. Determine v(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272709.4km in nanometers?\nAnswer: 272709400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128095785 to the power of 1\/2, to the nearest integer?\nAnswer: 11318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -498 divided by -2\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10111001011010?\nAnswer: 10111001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 1015b?\nAnswer: -10160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169 > 6169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 + 12 = 5*u, -5*u + 4*y + 28 = 0. Differentiate 4*f + 6*f**4 - 10*f**4 + 4 - u*f wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*g + 47. Solve -v = 2*c - 2*v - 7, -5*c + 2*v = -g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + -3 + -8 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 2. Let n be o(5). Let b be 24\/84 - n\/(-7). Let m be 0 - (-5)\/((-30)\/4). What is the third biggest value in m, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 - 63\/(-15). Suppose 0*c = u*c - 112. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4\/9 - 10*a**3\/9 - 17*a**2\/9 + 88*a\/9 + 80\/3 = 0.\nAnswer: -5, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 8732*a + 2913456.\nAnswer: 2*(a + 364)*(a + 4002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522 - -337372?\nAnswer: 340114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1228b68 + 3?\nAnswer: 1228b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -81047 greater than -3079829\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(272) - (-4 + sqrt(272) + 1))**2 - 5*sqrt(170)\/(sqrt(60)\/sqrt(6)*1).\nAnswer: -5*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/13 + 89\/117. What is the closest to -1 in -0.3, g, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4 = -4*k, 5*k + t - 2*t - 12 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/150 + w**4\/15 - 11*w**2. Factor f(h).\nAnswer: -2*h*(h - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 17 = -15. Let v be (r\/(-24))\/((-6)\/(-9)). Put 0, 5, v in decreasing order.\nAnswer: 5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 57 - 33 - (-14 + 4 + (-4 - -3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Suppose -10 = -2*z + 3*z - 3*b, -15 = k*z - 4*b. Let d = 2 + z. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19*g**(1\/16))\/(g**(-34)*g\/g**(-15\/8)) assuming g is positive.\nAnswer: g**(803\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 16*r + 23. Does 10 divide c(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01173064592 rounded to 5 dps?\nAnswer: 0.01173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) -1\/4 (c) -9 (d) -4 (e) -3\/451\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-7 + 2)) + 0 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 73*c**3 + 96*c**3 + 3 - 29*c**3 as y*c**3 + i*c**2 + b*c + j and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15502373 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1*sqrt(17))**2*-5 - (-1*sqrt(136))\/sqrt(8).\nAnswer: -340 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -271, 1, -3713.4, -0.5.\nAnswer: -3713.4, -271, -0.5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -3*p, 2*x - 2*p = 14. What is the third derivative of -281*l**x + 295*l**6 - 6*l**2 - 9*l**2 wrt l?\nAnswer: 1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -1 - 3. Suppose 2*s - f - 3 = 0. Let b(n) = 3*n**2 + 72*n + 94. Let g be b(-23). Solve -2*u = s*h - 20, 5*h - g = 3*h - 3*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22034 + 12?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 + -2)\/((-165)\/22). Sort k, 120, -0.2 in descending order.\nAnswer: 120, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -72?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:21 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d**3 + 2*d**2 + 11. What is the hundreds digit of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 3*t - 14. Let f be h(5). Find the common denominator of -41\/12 and (f\/4)\/((-48)\/(-1744)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*b - 9*b + 7*b**2)*(4 - 4 + 3*b)*(-6 - 9 - 5) + (5*b - b - 2*b)*(b + 2*b**2 - b) in the form x*b + a + l*b**2 + k*b**3 and give k.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941909211?\nAnswer: 3, 19, 5508241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115969938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(5\/10)\/(1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -12, 15, 74, 177, 336?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6642?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1250476*y**3 - 5269269*y wrt y.\nAnswer: -7502856*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z - 1. Let a(i) = -9*i**3 + 4*i**2 - i - 4. Let r(j) = -a(j) + 4*k(j). Let h be r(2). Calculate the highest common divisor of 85 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1612620 = -591*s + 557*s. What are the prime factors of s?\nAnswer: 2, 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**(-1\/4)*k*k))\/k)**(18\/11) assuming k is positive.\nAnswer: k**(-63\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o**3 + o**3 - 4*o**3)*(-3*o + 7*o + 19 - 2*o) to b*o**3 + l*o**4 + u + h*o + z*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 9 (c) 1\/23 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142\/3 - 47. Let z be (-266)\/(-361)*22\/(-15). Let q = z + 18\/19. What is the second smallest value in d, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -689254?\nAnswer: 689259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003435 to seven dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose 0 = y*h - 6*h - 4*t + 12, h - 6 = -5*t. What is the smallest common multiple of 42 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*n + 119*n - 191 = -5*b, -105 = -3*n - 3*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/180 - n**5\/9 - 25*n**4\/36 - 24*n**2. Suppose d(g) = 0. Calculate g.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 39 = -1. Let t be (-2)\/b - (-11)\/(-44). Suppose t = j - 3*j - 5*i + 177, -20 = 4*i. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/(-2)*(-2 - -4). Let x = a - -79. Let s be 5\/(-10)*-292 - (10 + (-40)\/10). Calculate the highest common factor of s and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 9. Let k(i) = -i - 1. Let f(y) = 3*k(y) + o(y). Let v = -64 - -69. Calculate f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1200) - (2*sqrt(1200) - sqrt(1200))) + -4*sqrt(108))\/(sqrt(72)\/(sqrt(1728) - -2*sqrt(1728))).\nAnswer: 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 17. Suppose 34 = 4*t - 4*m + 10, -w*t - 3*m = -32. Solve 3*i = 3*o + 2*o - t, -4*i + 5*o - 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10 + 6*i**2 + 11.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -352*i. Let h(p) = -2*p**2 + 0 + 1 - 4 + 3. Give d(h(q)).\nAnswer: 704*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 7973079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-30))**(2\/7) assuming q is positive.\nAnswer: q**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2441647 and 354085?\nAnswer: 280789405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) - sqrt(735)*1)) + (sqrt(15) - ((sqrt(1215) - 2*sqrt(1215)) + sqrt(15))))\/(-2*sqrt(320)*1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -4) + (0 - 26). Let r be 5\/15 + c\/6. Let y = 0 + 5. Put -5, r, y in decreasing order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 10010?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3, 31, 7 in decreasing order.\nAnswer: 31, 7, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -0.2, -2\/11, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 12 = 18*p. What is the least common multiple of p and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 + -6 - (-1)\/(-1). Solve y*u - 4*u + 19 = 4*r, 0 = -4*r - u + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -49*k - 3144. Determine j(-43).\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 515898 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-20)*z)\/(z*z**(-2\/11)))\/(z**(2\/17))**(-3\/22) assuming z is positive.\nAnswer: z**(-3703\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209061402 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9281712, -37126792, -83535258, -148507110, -232042348?\n\"Answer: -9281693*r**2 - r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 3*h**2 + 0*h**2)*(h**3 + 1 - 1) - 5*h**5 + 3*h**5 + 3*h**5.\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*o + 425*o = 33 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -592681?\nAnswer: 20\/592681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2 - 1774*a + 1772 = 0.\nAnswer: 1, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 68 = -14. Let y(m) = -m**3 + 5*m + 2. Let k(d) = d**3 - 4*d**2 - 6*d + 2. Let p be k(5). What is the remainder when g is divided by y(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -11 + 14 - (-11 + -5)) + -79\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:38 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2788 divided by -12042\nAnswer: 1394\/6021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Let u(j) = 5*j + 4*j**2 - w*j - j. Let c(d) = 9*d**2 + 8*d - 8. Let r(t) = -3*t**2 - 3*t + 3. Let v(b) = -3*c(b) - 8*r(b). Determine v(u(m)).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*c. Suppose -c = v, 2*g - 5*v = 19 + 11. What is the third derivative of -38*r**5 + 30*r**5 + 0*r**2 - g*r**2 wrt r?\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249983.31 nanoseconds in minutes?\nAnswer: 0.0000041663885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let a(p) = -2307*p**2 + 15*p - 3. Let m(z) = -6925*z**2 + 40*z - 8. Let t(g) = -8*a(g) + 3*m(g). Give i(t(y)).\nAnswer: 2319*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2849 + -2848. What is the third biggest value in -5, 3, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 788, 772, 746, 710, 664, 608?\n\"Answer: -5*l**2 - l + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(1\/(-15)). Let o = 0.78 - 0.9. Let s = o + 0.02. What is the smallest value in s, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88297348.\nAnswer: 2, 22074337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t - 9856 = -1522*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 + 1 - i**2 + 4 - 4. Let u be j(-1). Let z = u + -3. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyuyusssuuysy. Give prob of sequence us.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7134656 divided by -10876\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -409, -687, -1075, -1573, -2181, -2899?\nAnswer: -3727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u**4 - 3*u)*(u + u - u) - u**3 + 255*u**2 - 1805*u**5 + 11187*u**5 - 255*u**2.\nAnswer: 9381*u**5 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*u + 5066*u = -697108 for u.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9377386 to the power of 1\/2, to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -1)\/(-8 - -5)*(-5 + 1). Solve 2*r + 5*l + 13 = 0, k*r + 2*l = -14 + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*v - 71646*c - 252778*v + 2 wrt v?\nAnswer: -2*c - 252778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 418*u + 7. Let q(k) = 1695*k + 30. Calculate -25*f(m) + 6*q(m).\nAnswer: -280*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/18)\/((-6)\/(-8)). Solve 3*m - 15 = -b*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 54*b - 75. Determine d(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587256 = -87*l + 111*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 68*n + 21*n - 50*n. Let q(l) = -l. Calculate j(q(g)).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -9, -21, -35?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 + 9*y + 10. Let k(s) = -5*s**3 - 23*s**2 - 37*s - 41. Let g(n) = -2*k(n) - 9*x(n). Let o be g(9). Suppose -3*h = -5*h + o. Is 1 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 9:20 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 15425324?\nAnswer: -15425315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 b when four letters picked without replacement from {z: 7, l: 3, b: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-105)*26*81\/1404\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = 32. Suppose 3 = -q + 29*z - 26*z, -4*q + 33 = -3*z. Calculate the least common multiple of q and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4038*r + 3 = -4035*r. Suppose 2*l + 21 = 3*n, 0*n = 2*n - 2*l - 16. Let y(z) = -z + 26*z**2 + n - 4 + 0*z. What is y(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 0*w)*((2*w - w**2 - 2*w)*(1 - w**2 - 1) - 3*w**4 - 3*w**4 + 4*w**4).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/35 + (-68)\/(-14). Let z = 12 - 14. Let p = 2 - 2.1. Which is the nearest to p? (a) 0.5 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -1\/10 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b**2 - 24*b**2 - 6*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 43 = 37*b - 13, 18 = 3*q + 5*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 21 = -19*h. What is the units digit of h\/4 + 40069\/68?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -4*z, -15 = 2*b - 5*b - 3*z. Calculate the remainder when 6 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n - 10. Solve r + 20 = -n*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q)**35*((q**(-1\/2)*q)\/q)**(1\/18) assuming q is positive.\nAnswer: q**(3779\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 12*h**2 + 7*h + 12. Let q be i(-12). Let s be q\/(-10) - 3\/15. Is 125 + (3 - (4 - (s + -4))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 36\/44 + (-175)\/(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 + 15785*w - 15790 = 0. What is w?\nAnswer: -3158, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-33740)\/8442)\/(9 + 160\/(-18)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 747194 and 16.\nAnswer: 5977552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7513 - -7646. Calculate the greatest common divisor of 323 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 903753679601 + 0.5\nAnswer: 903753679601.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 2*s**2 - 8*s + 4. Let t(n) = n - 1. Let p be t(-3). Calculate the lowest common multiple of q(p) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8785939.\nAnswer: 193, 45523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 10:26 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-276)*(2 - 4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43591727 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -68*f**2 + 1112*f - 383. Determine h(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z**4 + 1 + 14*z + 6*z - 22*z)*(-5 + 4 + 3).\nAnswer: -26*z**4 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**5 + 2*f**3 + 585955*f**2 - 118416131*f?\nAnswer: 220*f**3 + 12*f + 1171910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*(k\/k**(-2))\/k)\/((k*k**3)\/(k**(1\/5)*k)))\/((k\/(k*k**(-6)))\/k*k**3)**(1\/35) assuming k is positive.\nAnswer: k**(69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187785180*u**3 - 27286082.\nAnswer: -563355540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19597722*k + 23593794 wrt k.\nAnswer: -19597722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d + 39. Suppose -15*i + d*i + 22 = 0. Calculate the highest common divisor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 13*z**2 + 3*z + 3. Let y be p(0). Which is the second biggest value? (a) y (b) 0 (c) -1 (d) -5\/3 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 58*y + 576. What is s(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 5*f + 6. Let r be h(-3). Suppose 0 = 9*i + r - 117. Let b = 10 + -7. Let q(y) = -14*y - 8. Let t(l) = 5*l + 3. Calculate b*q(p) + i*t(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - -1) + (-97 - (-70224)\/988).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191*z**2 + z - 409*z**2 - 422*z**2 - 404*z**2.\nAnswer: -44*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Factor -5*i - 3*i**4 + n*i**2 + i + i**4 + 0*i + 4*i**3.\nAnswer: -2*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbibbj. What is prob of sequence itt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/3 - 778*b**4\/3 + 4012*b**3\/3 + 9336*b**2 - 47280*b = 0.\nAnswer: -394, -6, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248640 rounded to the nearest 10000?\nAnswer: 3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d + 131*d + 71*d = -38*d - 20880 for d.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 6*i. Sort -3, i, -1 in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -8. Put -1, -23, b in increasing order.\nAnswer: -23, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 + 242. Put f, -3, 40 in ascending order.\nAnswer: f, -3, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761\/5 at most -0.06762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.186691121 to three dps.\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = 10. Let x(i) = 17*i - z - 18*i - 2. Let d(a) = 3*a + 14. Let n(o) = -2*d(o) - 7*x(o). Calculate n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 53*q - 336 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -37. Let t be -1 - (-2)\/y*(-15)\/6. Which is the closest to -1? (a) 2 (b) t (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6249375 minutes in hours?\nAnswer: 0.010415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(((-246)\/(-287))\/(6\/28)))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1974270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62031904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125a + 13?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(2*f**2 - f + f)*(-1 + 1 - 1) as q*f + m*f**2 + g and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 3*x**5 + 0*x**5 + (-7*x - 6*x + 3*x)*(-2*x**4 - 2*x**4 + x**4).\nAnswer: 28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (141 - 137)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -36. Suppose -180*f = -211*f + 930. What is the highest common divisor of f and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u - 7. Let a(x) = -12*x**2 - 2*x + 31. What is a(h) + 3*l(h)?\nAnswer: -9*h**2 + h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(88)*-1)\/sqrt(8))**2 - (-3*(sqrt(55)\/sqrt(5) + 2))**2)*1.\nAnswer: -36*sqrt(11) - 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u - 3. Let x = -30 - -74. Let f = x + -39. Solve -b + 2 = -2*w + 5, 0 = f*w + 4*b - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (574\/(-7))\/((-2)\/3). Calculate the greatest common factor of 164 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14586.9987 + -14588. Let n = -1 - v. Round n to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 335458*g\/5 + 1006392\/5.\nAnswer: -2*(g - 3)*(g + 167732)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:47 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + (-3 - 1) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmlmllvmmlvlmmmm. What is prob of picking 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.014 times 48363\nAnswer: 677.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29421 times 8.4?\nAnswer: -247136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2280\/25650*(-10)\/12.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2 - 75*u - 22. Let j be y(-8). Factor -11\/7*c**3 + 11\/7*c - 2\/7 + 2\/7*c**j.\nAnswer: -(c - 1)*(c + 1)*(11*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54.4 - -57. Let n = j - 2.599781. Round n to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*b - 11324096 = 45905175 - 7387903. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3132 and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111010000011100111 (base 2) in base 6?\nAnswer: -215431423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 620*z - 554*z + 726 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1212, 2749, 4584, 6711, 9124, 11817, 14784?\nAnswer: 18019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.385184 and -0.3057615.\nAnswer: -0.6909455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2976, -6117, -9258?\nAnswer: -12399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3662\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 2595 = 29*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4214141 (base 6) to base 12.\nAnswer: -9a351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = 8. Let l = q - -7. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1315 and -14?\nAnswer: 18410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 14. Suppose 0 = 4*d - k*u + 16, -3*u = -d + 2*u - 4. Suppose 17*m + 1 + 33 = 0. Is m bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 8*z + 9. Let n be x(-6). Find the second derivative of -y - n*y**4 + 49*y**4 - 4*y wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from hedcadqc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*u**3 - 2*u**2 - 133*u?\nAnswer: 672*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -142420000 rounded to the nearest 1000000?\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996*a**2 + 2000*a**2 + 1994*a**2 + 1998*a**2 - 8014*a**2.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 2\/143, 1 in decreasing order.\nAnswer: 5, 1, 2\/143, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (-1050)\/234) + 2\/(-6). Let j = -36\/65 + x. Let u = -3 + 5. Which is the third smallest value? (a) 5 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*i - 24, -5*i = -13*p + 1223 - 1162 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, 5, -2562 in decreasing order.\nAnswer: 5, 0, -2, -5, -2562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 - 92*d**2 - 1320*d = 0.\nAnswer: -10, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110111011011 (base 2) to base 9\nAnswer: -4771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12.5 * -0.5\nAnswer: -6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82476, -329947, -742398, -1319829, -2062240?\nAnswer: -2969631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3305973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 223738272.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i - 126. Let l be n(12). Let f(b) = -b**2 + 4*b. Let a(g) = g. Calculate l*a(m) + 2*f(m).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2431? (a) -5 (b) 2\/13 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6\/7)*a**(-6)\/a)\/(a*a**1)**(2\/7)*(a*a**(1\/4)\/a*a*a*a*a*a)**(34\/7)\/((a*a**(5\/4)\/a)\/(a\/(a*a\/(a\/(a\/(a**(-3)*a)))))) assuming a is positive.\nAnswer: a**(387\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 3:37 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 3084*y = 0. What is y?\nAnswer: 0, 1028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 15) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 181337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zll. What is prob of sequence zll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12950\nAnswer: -3\/12950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*h**3 + 68*h**2 + 49*h + 10.\nAnswer: (h + 1)**2*(29*h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aaqqqaqqqa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 1:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 23*g**2 + 21*g + 36. What is n(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -453, -458, -463, -468?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -69.9892. What is f rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 w when three letters picked without replacement from {q: 1, y: 1, w: 1, e: 3, p: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2671, -6542, -11595, -17836, -25271, -33906, -43747?\n\"Answer: -u**3 - 585*u**2 - 2109*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/546?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -1.3. Let r = p - -0.5. Let j = 0.8 + r. Which is the biggest value? (a) j (b) -3 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -14 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 8*v**2 + 6*v + 6. Let c be 14\/(4 + -2)*1. Let q be s(c). Is (-3 - -70) + (1 - q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100.9 bigger than -327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 13*a + 8. Let b be q(-14). Let p(s) = -49 + b*s + 26 + 23. Let h(t) = -t. Determine p(h(u)).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.7. Let i = 29.5 + t. Let j = i - 27.2. What is j rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-8) - 4\/16. Suppose o*n - 3*x = 244, x + 482 = 4*n - 2*x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4975464, 4975466, 4975468, 4975470, 4975472?\nAnswer: 4975474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6)*33\/2. Let x = -4 + r. Solve 0 = -t + 3*m + x, 0 = -t - 3*t - 4*m + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/3)\/((l\/(l\/l**(-2)))\/l)*(l**2*l)\/((l**(-6)\/l)\/l) assuming l is positive.\nAnswer: l**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 46 - 36 = 0. What is the lowest common multiple of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 610, 615, 622, 631?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 3 - 4 + 8 + 1 in the form i*p + j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 216, 520, 824?\n\"Answer: 304*a - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcc when three letters picked without replacement from cjcccjj?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:38 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -6856409.\nAnswer: 8\/6856409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*m + 6, -4*y = 5*m - 8 - 0. Suppose 3*z + 0*j - j = -1106, 5*z + 1844 = j. Is (0 - z)\/3 + (-8)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 35 = -5*w - 4*i, -i = 2*w + 13. Let u(o) = o**3 + 5*o**2 - 8*o. Is u(w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*m + 10*m - 86 = 0. Which is the closest to m? (a) 0 (b) 1\/3 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Suppose 3*s + w = 5 + 35, 4*w + 8 = p. Suppose -z + s = 4*i - 5, 5*z + 1 = 4*i. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401047878?\nAnswer: 2, 3, 7, 11, 868069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (365 - 230 - 285)*(d - d**2 - d) as m*d**2 + o + v*d and give m.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(8) + 0)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 8 + -4 + -3. Sort 5, -5, -3, p in descending order.\nAnswer: 5, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4473\/(-710))\/(4\/(-30))*840\/490\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-6) - (-1674)\/217?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 33 = -3*w, 2*f + 40 = 5*f - 4*w. Suppose -16*l - 711 = -807. Find the third derivative of -10*n**l - 26*n**6 + 22*n**6 - 26*n**6 + f*n**2 wrt n.\nAnswer: -4800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*t*x**3 - 3*t + 6*x**3 + 2*x**2 + 12*x + 497 wrt x?\nAnswer: 21*t*x**2 + 18*x**2 + 4*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:30 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.057 + -0.057. Let n = -17 + 24. Let b = n - i. What is the third smallest value in 2\/3, 1\/5, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l**2 - 544*l**3 - 5*l**2 + 7*l + 543*l**3 + 10 - 5*l**2 - l**4 as g + c*l**3 + r*l + w*l**2 + q*l**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + 8*k**2 + 25*k. Let c(m) = -3*m**3 - 7*m**2 - 24*m. Let o be -1 - (15 + 7 + -27). Determine o*s(g) + 5*c(g).\nAnswer: g**3 - 3*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 111\/8, 9 in ascending order.\nAnswer: 1\/2, 9, 111\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigiiiigiiigii. Give prob of picking 1 i and 1 g.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3e (base 16) to base 10\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 158dba - -1d?\nAnswer: 158dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (-2*sqrt(175) + sqrt(175) + 0) - sqrt(175))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 538 = -2*h, h - 268 = 5*d - 6*d. Let w = h + -70. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1222\/17 + -72. Let w be 177\/472 - 1\/8. Which is bigger: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015335 (base 6) in base 13?\nAnswer: 347c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 15*u - 24. Suppose -4*k = 2*k - 108. Let x be j(k). What is the greatest common factor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 350\/3*7\/((-49)\/525). What is o rounded to the nearest one hundred?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2 - 5*d - 5. Let w(p) = -4*p**2 + 7*p + 3. Let f(v) = 4*v**2 - 8*v - 3. Let g(x) = -4*f(x) - 5*w(x). Give -5*g(t) + 3*i(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9635164 + -5798281. Let f = i + -8356883. What is f rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 + 1 = 4*r, -2*r = -3*t - 13. Solve r*x = 5*f + 14, 5*f + 0*f + 5 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1000 = -64. Let k be 0 - 1 - (v - (-15)\/5). Let h = -10 - -33. Calculate the highest common factor of k and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201.57 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*h**3 - 14*h**2*p + 34*p + 7 wrt h?\nAnswer: -15*h**2 - 28*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**3)\/u**(-2\/5)*((u\/(u\/u**(-6)))\/u*u)\/(u\/u**(-3\/7)) assuming u is positive.\nAnswer: u**(-316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31116, 108, 0.1 in decreasing order.\nAnswer: 108, 0.1, -31116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*-2) - 2*sqrt(1539).\nAnswer: -37*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14527, 14511, 14483, 14443?\n\"Answer: -6*i**2 + 2*i + 14531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4252876044 by -6.\nAnswer: 708812674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719 - 1711. Let l = i - -992.1298. Let a = 0.13 - l. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20.95, 99, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2533980 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004 (base 5) to base 14.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 8*t**2 + 4. Let c be f(8). Let z = 1 + c. Let r = 2 - -2. Solve 3*q = -7*m + 2*m + 9, m + r*q = -z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + w - 20 = 0, -3*w = -3*y - 11 - 13. Which is the closest to -2? (a) 2 (b) -7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 491 + -494.2. Which is the closest to 0? (a) 1 (b) -2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + 19*k**3 - 5*k**2 - 6*k**3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9267\/11, 4\/13, -1?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + (14 - (-6 - -24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*u = -2291*u + 40 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 87 - 60. What is the second derivative of -95*o**3 + 41*o**3 - 22*o + q*o**3 + 4*o wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3819 - -3853. What is the highest common divisor of 102 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -46, -36, -12, 32, 102, 204?\n\"Answer: c**3 - 2*c**2 + c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 23. Let c be 4\/6 + 40\/(-6). Let h(m) be the third derivative of m**5\/60 + m**4\/24 + 2*m**2. Let s(w) = -5*w**2 - 6*w. What is c*h(o) + y*s(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkqqqqgqquqkquuc. Give prob of picking 1 f, 1 q, and 1 g.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = -2*k + 6*k, 0 = -5*f - 5. Let a = 2719 + -2719. Suppose -10*x - k + 225 = a. Calculate the highest common factor of 110 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-5*sqrt(363)*1 - (-3*(0 + sqrt(363)) - ((sqrt(363) + 0)*1 - sqrt(363))))*-1)**2.\nAnswer: 175692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*o + 15. Let f(a) = -19*a**2 + 5. Let b(l) = -189*l**2 + 49. Let d(x) = o*b(x) + 49*f(x). Is d(-1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-289408)\/102)\/(-112))\/((-2)\/12*4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 260, -1.62, -189 in ascending order.\nAnswer: -189, -1.62, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6704)\/2095)\/(3\/5*6\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8\/x)**(-6))**(1\/10))**(-24\/13) assuming x is positive.\nAnswer: x**(504\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 24 - 6 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, -4, 3\/61, 7\/6 in ascending order.\nAnswer: -4, -0.5, 3\/61, 0.1, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -795.3884 - 0.2116. Let q = -693 - v. Let f = 103 - q. Which is the third smallest value? (a) -4 (b) -0.5 (c) f (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*t + 51. Let o be ((3\/5)\/(-3))\/((-1)\/t). Solve i + 0 + o = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18361200 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 0*w + 0*w)*(-w**2 - 4*w + 4*w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144489 greater than or equal to 0.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npn when three letters picked without replacement from {k: 1, p: 3, g: 1, e: 2, n: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -56. Suppose s = 8*v - 10*v + 8474. Let i = v - 2726. Is i 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 bwftbt. Give prob of picking 1 b and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from {w: 4, d: 2, m: 2, s: 3, k: 2, t: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 14.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494*x + 19112 = -7606*x + 701612 for x.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*z + 7013 = 807*z - 6351 - 21634 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 3*w**2 - 10*w + 1. Let u be c(5). Which is greater: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/9 - 5804*d**2\/9 + 33852*d - 452628.\nAnswer: 4*(d - 1397)*(d - 27)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 1\/7 (c) -4 (d) 0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 + 12.38. Let z = -15 + f. Let k = -1 - -2. Sort 0.3, k, z in descending order.\nAnswer: k, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 2990703.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7228, 18249, 29270, 40291, 51312?\nAnswer: 62333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -1) + 5780\/10. Let k = n - 407. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21098 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 5*s**2 - 3. Let i(t) = -3*t**3 - 11*t**2 - 7. Let v(b) = -3*i(b) + 7*p(b). Factor v(d).\nAnswer: 2*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/330)\/(-13)*-5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 55 = -5*r, -3*r = -u + 26 + 9. What is the units digit of (-44)\/(-5) - 2\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39281 - -39208. What is the nearest to 3 in o, 0.1, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1019616 and 757302?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/(140\/120)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l - 2. Let p(n) be the first derivative of 16*n**3\/3 + 1290. Determine x(p(c)).\nAnswer: -128*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 14*q**2 - 15*q + 2. Suppose -60 = 6*l - 2*l. Let c be k(l). Let x(f) = -1 - 5 + 0 - c*f + 5. Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4\/3, -97.3, -9, -2\/7, -2 in ascending order.\nAnswer: -97.3, -9, -2, -1, -2\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 - n + 628 + 447 - 13*n**3.\nAnswer: -2*n**3 - n + 1075","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15809*r**2 + 234128*r?\nAnswer: -31618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-19)\/o*o*o**(-1\/54)*o**(-3\/13)*o**(14\/9) assuming o is positive.\nAnswer: o**(-12421\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -62*o**2 - o. Let x be m(1). Let k be (4\/(-6))\/(6\/x). What is the greatest common factor of k and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96879*f*k*r**3 - 18044*f*r**2 + 4*r**3 wrt k?\nAnswer: -96879*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -16. Let i = p + -7. Solve i*c - 3*c + 4 = 0, 4*t + 2*c = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 282?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -0*u + 3*r - 14, -2*u = -5*r + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -n - 1047851 + 230701, 0 = -5*x - 2*n + 1021431. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (10 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 5) to base 8\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 4. Let q be v(6). Let t = -7 + q. Suppose 0 = 3*u - 4 + 1. Which is the closest to u? (a) -0.5 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 divided by 214?\nAnswer: -157\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2909 + -2654. Let q be -179 - -2*(-2)\/4. Let a = j + q. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -32*h**3 + 7*h. Let b(j) = 11*j**3 - 2*j. Give -7*b(m) - 2*d(m).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 489302.3772 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 6*s**2 - 5*s - 7. Let z be x(4). Suppose 0 = 4*d - z - 3. Suppose 0 = 5*p + d*p - 280. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2 + 1 + 2 + 3 + a. Let y be n(-3). Solve 3*j - 2 - y = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013042683 rounded to 7 decimal places?\nAnswer: -0.0001304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -8, -5, 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5319200 and 7930?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m - 1. Let s(o) = -o**3 + 3*o**2 - 2. Give -2*c(i) + s(i).\nAnswer: -3*i**3 + 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 15*d = 423. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -179? (a) 4\/9 (b) -7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 34. Let x = 47 + o. Let i = -27 - x. What is the least common multiple of i and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -47*q**3 - 2*q**2 + q. Suppose -20 = 4*f, -20 = 5*p - 0*f + 5*f. Find the common denominator of -7\/10 and m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 147\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452 - 173504?\nAnswer: -174056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z**3 + 2 - z + 0*z**2 - 1\/4*z**4. Suppose -28*n + 27*n = -1. Determine a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(6*d**2 - 6*d**3 - 6*d**2) + (-6*d + 2*d + 3*d)*(3*d**2 - 4*d**2 - d**2) + 5*d**3 - 3*d**3 + d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/12325 + 678067\/788800. Calculate the common denominator of 71\/100 and l.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -574*a*j**2 - 412*a*j*o - 59*a - 1447*o wrt j.\nAnswer: -1148*a*j - 412*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Let h be b(5). Suppose g - h*g - 5150000 = 0. Round g to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 3:34 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 27412?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 11. Let x be 0\/(-4) + 10 + t. Solve -4*g = -x*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaakakaaaafvvafav. Give prob of picking 1 a and 1 f.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2350 - 2349.6227. Round u to two decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -356, -355, -354, -353, -352?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**4 + 1\/525*c**7 + 0 + 0*c + 2*c**2 + 0*c**3 - 1\/75*c**6 - 1\/30*c**5. Factor l(q).\nAnswer: 2*q**2*(q - 5)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -4\/3, -11, -1\/6, -0.1 in descending order.\nAnswer: 135, -0.1, -1\/6, -4\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 42*v - 2. Let p(h) = 43*h - 2. Suppose 4 + 11 = -5*m. Let n(q) = m*u(q) + 4*p(q). Is 14 a factor of n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 77*p - 8. Let w be u(26). Put -5, w, -1, 0 in increasing order.\nAnswer: w, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239453 is divided by 656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 2*r - 2*a, 145 + 59 = r + 4*a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010101111010110011 - 1011111?\nAnswer: 1000010101111001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 67*s + 428. Let y be m(-6). Solve -2*k = q - 7, 30*q = -5*k + y*q + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:55 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258 or -14644\/57?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*w - 6*k + k, -5*k = 0. Let z be (10\/45 - 0) + 0. Which is the nearest to w? (a) z (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 11*z**2 + 18*z + 3. Let s(v) = -3*v + 39. Let a be s(16). What is the units digit of k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1, 0, 4976, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 351?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1. Let s(o) = -14*o + 7. Let u be s(2). Let p be 12\/u - 45\/(-42). Is v <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, -200, -742, -1468, -2378?\nAnswer: -3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -363 - 16*n - 85*n**2 + 364 - 18*n**2 + 44*n wrt n?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let x be (-2)\/2 + m - -440002. What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 9 - 25 + 16.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (71\/142)\/(((-9)\/78)\/3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -6\/7 (c) -1117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3033, -3054, -3055, -3006, -2877, -2638, -2259, -1710?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*q**5 - 75*q**5 + 97*q**5 + (2*q**3 + 2*q**3 - 6*q**3)*(-q**2 + q**2 - 2*q**2).\nAnswer: -91*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = 5*w, t + 2 + 0 = 2*w. Suppose -4*q - w = -18. Solve 14 = -m + 3*k, 5*m + 10 - q = -k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 11. Let t(f) = -f**2 + 4*f + 2. Let b be t(-3). Let s = b + 28. Is y(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28655626 is divided by 4429.\nAnswer: 4425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, -52 in increasing order.\nAnswer: -52, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28567?\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8383654.\nAnswer: 2\/4191827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 plus -152719000851.5?\nAnswer: -152719000976.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140185073 by 2.\nAnswer: 140185073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47854?\nAnswer: 2, 71, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 - 85. Suppose 18 = 2*p + y*k, -3*k - k = -p - 6. Solve -p = 3*l - l, 2*l + 8 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*p + 1 - 5*p - 3*p + 3*p + (-p + p - p)*(0 + 2 - 1) + p - 2*p - p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 - -74. What are the prime factors of f?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a = -40*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9966 + -9953. Solve 7*k + t = 10*k - s, -t = 4*k - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from tettttteettttceeetc.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2145 and 15.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + (783 - 808) + (-19 - 0)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 2. Let g = -175\/88 - -26\/11. Let y(c) be the third derivative of 0*c - g*c**4 + 0 - 2\/3*c**3 + 2*c**2. Calculate 13*r(h) + 6*y(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {g: 5, b: 2, u: 7}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -4*o**5\/15 + o**4\/6 - o**2. Solve k(n) = 0 for n.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68 - 2) + -277 + 220 + 88?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crnc when four letters picked without replacement from ppnrpkprnrprncrppcp.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oott. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126543\/5 - 25523. Let p = -214 - s. Find m such that -2\/5 + p*m**3 + 2\/5*m**2 - 2\/5*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 60. What is the highest common factor of p and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.3, -5, 1679, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40381*t**2 + 2206*t**2 + 21 - 7 - 7 - 7 + (t**2 + 2*t**2 - 5*t**2)*(1 - 4 + 1) + 5*t**2 - 2*t**2 - 5*t**2.\nAnswer: 42589*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 22 = -2*t. Let m(f) be the first derivative of 3\/2*f**2 + 0*f - t. Let g(x) = -2*x**2. Give g(m(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.19 - -54. Let f = 4 + -3.99. Let a = f - j. Round a to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 7, o: 1}. Give prob of picking 1 o and 2 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:33 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:09 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -235 - 11*v**2 - v**3 + 523*v - 270*v - 2 - 251*v - v**3 as t*v**2 + f + r*v**3 + n*v and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. Let r be 1*(-3 - (-17)\/x). Let q = 1184.6 - 1185. Sort 3\/5, r, 0.18, q in increasing order.\nAnswer: q, r, 0.18, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 21 - 79. Suppose -g = 2*r - 0*r + 1, -5*g = r - 22. Solve -d + 1 + b = 5*y, 5*y - 4*d = g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119, -695, -3405, -8965, -18329, -32451?\n\"Answer: -159*p**3 + 6*p**2 + 281*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 12 = -6*x. Suppose 3*p = 5*o + 797, x*p = 3*o + 749 + 332. List the prime factors of p.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 8. Let z be u(-3). Is z >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (-168)\/(-35)*(-20)\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 8*o + 8*o)*(-19*o + 10*o + 2 + 7*o) + 5*o**2 - 4*o**2 - 2*o**3 - 4*o**2.\nAnswer: 6*o**3 - 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79 and 16906.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -368*i**3 - 4418*i**2 - 11800*i - 64.\nAnswer: -2*(i + 4)*(i + 8)*(184*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -2) + -48 + -1 + 28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 - 201*p**3 + 9792*p**2 + 103680*p = 0.\nAnswer: -240, -9, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -604.19842 to the nearest 10.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 - 6*d. Let a(h) = -10*h**2 + 11*h. Suppose -g = 3*b + 3*g - 18, -5*b + 4*g = -30. Determine b*a(c) + 11*y(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*q - 5*d - 10, -5*q = -2*d + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwxe when four letters picked without replacement from {w: 3, x: 1, c: 1, p: 2, n: 10, e: 2}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 366 = -w, -4*w - 165 = 2*d - d. Let r be -345 + 10 + (21 - 16). Let c = d - r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-258 + 258 - 14*y)*(y + 2*y - 2*y)*(-305*y + 305*y - 149*y**2).\nAnswer: 2086*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1165\/114 + -20\/19. Calculate the common denominator of (-108 + -3)\/(-20 + 14) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*r - 128145 - 490065, 0 = p - 4*r - 123647. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 669162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -70. Let l = t + -61. Put l, 1, 4, 2 in descending order.\nAnswer: 4, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9864 + -0.0136. Sort 0.03, -0.1, 3, a in ascending order.\nAnswer: a, -0.1, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19256594?\nAnswer: 2, 7, 109, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 68*u - 351. Let c be i(62). Solve 3*p + 15 = 3*j, j - c = 3*p + 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*w - 3*w + 27*w in the form i + p*w and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-98)\/(-4))\/(2\/4). Let r be 1\/4 + 27\/4. Calculate the highest common divisor of q and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38283 is divided by 5870.\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*9\/(-2 + -1). Does 15 divide (-2)\/6 + 327\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 2:23 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 17 = -2*m - 3*m, 0 = -3*h - 3*m + 6. Let w be 4 + (-1)\/(-4)*4. Solve -5*g - 10 = 0, 8*f = w*f + h*g + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(112).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - x - 54 = 0, -3*x - 2 - 34 = 3*a. Let v = a - -16. Suppose -8 = -t - 3*h, v*t + 0*t - 1 = -h. Is t less than or equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-11)*(-39)\/(-26)*(-770)\/70\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 148 - 4. Let c = s - -28. Let u = -19 - c. Sort 3, u, 2 in ascending order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.85 + -17. Which is the nearest to h? (a) -1 (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 - 0. Let u(w) be the second derivative of 0*w**3 - 1\/9*w**4 + 2\/3*w**2 - w + s. Suppose u(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - 172)*(2\/8)\/((-27)\/(-36))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - x + 0*x - 3 = 0, x = 0. Solve -5*n + 26 + j = -3*l, -n + 3*l = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4177*u + 4233*u + 896 = 0 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.614448 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22003102333 + -11?\nAnswer: 22003102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1\/4, 31, 0.3, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**4 - 8512*p**3 + 3*p**2 - 3*p - 322674583?\nAnswer: -8*p**3 - 25536*p**2 + 6*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32060557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 5*p**4 + 2*p**4)*(-4 + 1 + 4).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*c**4 + 84*c**3 - 84*c**2 - 20*c.\nAnswer: 4*c*(c - 1)*(c + 5)*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55)\/(-120) - 4\/32. What is the second smallest value in 0.5, q, 328?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 12:12 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 19729926?\nAnswer: 4\/9864963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-29.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 2 = 2. Let t(l) be the first derivative of 0*l**2 + 1\/16*l**4 + 1\/6*l**3 - 4 - 1\/10*l**5 - 1\/24*l**6 + i*l. Solve t(h) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 45 - (-56 - ((-7 - -4) + 7))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7) + -5 - (0 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 6*h - 1. Let y(z) be the third derivative of -z**5\/60 - z**4\/24 - z**2 - 87*z. Determine -o(k) + 6*y(k).\nAnswer: -8*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/15 - -17) + (-345198)\/(-24066) + 4\/(-3).\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -6 - 1407 - 4. Let f = -241 - z. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/6 + m**4\/12 + 13*m**3\/2 + 14*m**2. What is the first derivative of o(j) wrt j?\nAnswer: 20*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-18))\/(2\/1578) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-12)*-2*7\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 2*i + 0*i)*(5 - 5 - 9)*(1 - 1 + 1)*(1 - 2 + 0)*(0 + 2 - 3) to d*i + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w**2*w**8\/((w*w*w**(-1\/10)*w)\/w))**(-1\/43) assuming w is positive.\nAnswer: w**(-21\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-4 + -27 - -26) - -22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 - 58*n**2 - 5*n. Let k(d) = 2*d**3 + 29*d**2 + 3*d. Give -5*k(z) - 3*o(z).\nAnswer: 2*z**3 + 29*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 28*x**2. Let h(b) = -14*b**2. Let t(f) = 13*h(f) + 6*u(f). Let w(p) = p. What is t(w(o))?\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105*-3411.\nAnswer: 358155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-21))\/((231\/(-44))\/(-7)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 29 = y + n, 3*n = 3*y - 33. Solve 3*q = y - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 296*f**5 - 52*f**5 - 95*f**5 + (3*f - f + 0*f)*(3*f**4 - 7*f**4 + 3*f**4) + 3*f**2 - 3*f**2 - 2*f**5.\nAnswer: 145*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231203102 + -232?\nAnswer: 231202320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*f = 12 + 12, f = d - 7. What is the closest to 0.1 in -2, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2 - sqrt(72))*-2 - (-5 + (sqrt(72) - sqrt(72)*-1)))**2 - ((sqrt(72) - (sqrt(72) - (0 + sqrt(72) + -4))) + -5*-2*sqrt(72)).\nAnswer: -306*sqrt(2) + 1181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/449 - -459\/2245. Factor -1\/5*x**3 - g*x**2 + 1\/5*x + 1\/5.\nAnswer: -(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104)\/sqrt(2) + sqrt(52)))\/(sqrt(44)\/(sqrt(22)\/sqrt(2))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1761280*b**4*k**3 - 5*b**2*k**3 + 3*b*k**3 - 22*b*k + 148*b wrt b.\nAnswer: -42270720*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 210917837?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, v: 2, q: 4, w: 5, t: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwwiwuwywl. What is prob of sequence ui?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.752 - -13.378. Let y = f - 14. Round y to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (0 + -29 + -12)) + 8 + 8 + -6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*u - 4*u + 100, 2*s - 62 = -4*u. Suppose -d + b = -5*d - 25, -b + s = -4*d. Is 10\/(-15) - 1774\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 - 2*y + 11. Let p(c) = -c**3 + 5*c**2 + c - 11. Let i(a) = 3*b(a) + 4*p(a). What are the prime factors of i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 51*n + 2. Let h(i) = i. What is y(h(r))?\nAnswer: 51*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 85 = 26*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5945132*h**6 + 2679530*h**2 + 1 wrt h?\nAnswer: -713415840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 629.359 + -629. Let l = p + -0.24. What is l rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2496 plus 10864896?\nAnswer: 10862400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/2 - 14781*z - 29568 = 0. What is z?\nAnswer: -2, 9856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71 from 0.09.\nAnswer: 71.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 215*s**2 + 6680*s - 41. What are the prime factors of n(-34)?\nAnswer: 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 greater than -19892\/297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15217 is divided by 2848.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1011 - 0?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21650356 divided by -773227\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 133*t - 533. What is n(-62)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (39 - 10) + (8 + 7 - -14).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 6. Let h be k(9). Let p = 6 - 8. Let t = h - p. What is the remainder when 6 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1116661184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:48 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5 + 2*j + 5. Let r(m) = 6*m - 2. Let t(d) = 87*d - 33. Let f(k) = 15*r(k) - t(k). Calculate f(i(q)).\nAnswer: 6*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f**3 + 2*f**2 - 1. Let d = 21 + -16. Suppose 3*w - s = -1 - 3, -3*w - 8 = -d*s. Is a(w) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75343469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15142734?\nAnswer: 2, 3, 19, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8052 + 11807490691?\nAnswer: 11807482639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*o + 243650 = -138*o. What is o rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**4 - j**3 + j**2 - j. Let m(n) = 2*n**4 - 5*n**3 - 5*n**2 + 3*n + 5. Let y(a) = -5*b(a) + 5*m(a). Let y(s) = 0. What is s?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 6\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h**2 - 11*h + 1. Let l(c) = -8*c**2 + 6*c - 1. Give 11*l(g) + 6*n(g).\nAnswer: 2*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243.443099 - 243.45. What is t rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 3*h**4 - 2*h + 3*h**4 - 3*h**4 + h**4 + (1 - 1 - 2*h**3)*(-5*h + 5*h - 2*h) + 6*h - 6*h - 14*h**4.\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6593 or -6590?\nAnswer: -6593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5167281 centuries in millennia?\nAnswer: 0.05167281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 224 = 30*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and (-642)\/16*(-4)\/(-27)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 5*v - 5, 0*v - 4*q + 2 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 63. Let s be j(8). Suppose 29 + s = -6*q. Put 4, -4, q, 0 in increasing order.\nAnswer: q, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 8:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmlmmmlmmmlmmm. What is prob of sequence mm?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*w - 3*p - 20, 16*p + 750 = 4*w + 718 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -219\/7. Which is the second smallest value? (a) 1\/4 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 18940.\nAnswer: 18949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2980 + -1235. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1674 - 6877 = -473*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148 + 275 - 146 + s)*(4 + 5 - 1).\nAnswer: 8*s - 152","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1318*s + u = 1315*s - 11, -4*s - u = 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1899131 at most as big as -1899152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 16*j**3 + 6 + 1 + 2*j + 0 + 19*j**3 + 12*j**2 as c*j + y*j**3 + n + i*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3 - 0) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-784)\/(-256) + (-1)\/16. Factor -3\/5*h**2 + 3\/5*h**3 - m*h - 9\/5.\nAnswer: 3*(h - 3)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.182 and -0.035.\nAnswer: 0.00637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 98, 147, 176, 179, 150?\n\"Answer: -q**3 - q**2 + 73*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49424, 98981, 148690, 198569, 248636?\n\"Answer: 3*l**3 + 58*l**2 + 49362*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4*h - 5. Let q be o(-6). Let b(z) = 3*z**2 - 9*z - 4. Let n = 7 - 10. Let c(r) = r**2 - 4*r - 2. Determine n*b(i) + q*c(i).\nAnswer: -2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377 - 373. Solve -9*c + l*c = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 times 3?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29682 + -29190. Calculate the smallest common multiple of m and 18.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 24*m**3 + 675*m**2 - 8700*m + 25500 = 0. What is m?\nAnswer: -17, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-810)\/(-1350) + -2 + (-588)\/(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(-1)*0. Let c be k\/(-2)*(4 + -3). Let s(h) = c - 1 - h**2 + 5*h**2. What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*p = -13, 2*p + 12 = -p. What is the common denominator of (0 - 1) + (-43)\/18 and -5 - ((-660)\/104 - v)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*a - 3 + 60, 2*a = 4*s - 30. Let l = a + 17. Let g be (-27)\/l + 6\/24. Solve g*t - 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486721 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27823175 to the power of 1\/2, to the nearest integer?\nAnswer: 5275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose 0 = f + 4*h - 22, 3*f - 2*h = -0*f - p. Solve -g - 5*y - 4 = 0, 2*g + f*y = -g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*i + 57440 = -273*i + 1815*i - 128308 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291533, 291502, 291453, 291380, 291277, 291138?\nAnswer: 290957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5*d + 41122 = 0. Let o = -25794 - d. Suppose x + 43999 = -4*q, 2*q + 2*x + o = -6670. What is q rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 15*r**2 + 18*r - 30. Let f be d(16). Does 3 divide 1854\/33 - f\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 231?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/52)\/((-14)\/175).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 22770000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:41 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*b, -14*j - 8 = 3*j - 3*b - 72 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 1. Suppose 13*y - 9*y = 20. Give c(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1971 and 66340137?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-5)*6\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + 3*m + 12. Let h(z) = 8*z**2 - 5*z - 23. Give -3*h(j) - 5*o(j).\nAnswer: -4*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/11, 4\/7, 3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -104, -144, -166, -164, -132, -64, 46?\n\"Answer: x**3 - 59*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -35) + -10 + (4 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30747 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 12) to base 6.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275955520 by 24160.\nAnswer: -11422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:56 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2. Let v(f) = 5640886*f. Determine v(s(x)).\nAnswer: -11281772*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6329.\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t**2 - 21*t**2 - 7*t**2 + (-1 + 1 + 2*t)*(-1 - 4*t + 1))*(-8*t + 3*t - 3*t).\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*d = -18015, -1441 = 2*l - 5*d - 10466. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22987048 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) - (-2 + sqrt(684)))) + sqrt(19) - (-1 + (-2*sqrt(19))**2).\nAnswer: -77 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 50. What is the greatest common divisor of g and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10374 and 13832.\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8817 and 13.\nAnswer: -114621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b**3 + 146*b + 126*b - 1 - 285*b + 2 - 129*b**3 as a*b**3 + x*b + g*b**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41726328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjgsjjbsbgg. What is prob of picking 2 g, 1 j, and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -223 + 222. Is -2\/343 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 - d**4 + d**4 + (-d**3 - d**3 - 3*d**3)*(-d**2 + d**2 + 1 - 2*d**2)*(2 - 3 + 0).\nAnswer: -15*d**5 + 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13792.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f - 24. Let g(a) = 6*a + 33. Let t(u) = 5*g(u) + 7*n(u). Let l(i) = 4*i + 2. Determine -4*l(x) - 3*t(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 91*k - 39. Let b(v) = 6*v**2 - 136*v + 58. Let u(o) = -5*b(o) - 7*s(o). Let d be u(21). Solve -r = -0*r + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-34)\/(-17))\/(1*44\/(-2))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5.5 (b) 11 (c) -3 (d) -1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.04 - 0.26. Round o to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/36 and 121\/492?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 10300\/380 - 4\/38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*p - 4)*(7 - 1 + 5 + 2*p) + (-p + p + 2*p)*(0*p + p + 0*p) in the form r*p**2 + i*p + w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12389381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -m - g, -m = -g - 6. Solve 0 = -2*a + w - 9, m*a - 2*w = 11*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a = -94*a + 15. Suppose -4*b - 139 = -a*q - 2*b, 3*b + 232 = 5*q. What is the remainder when 67 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 2922.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:12 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, z: 2, x: 3}. What is prob of picking 2 x and 1 z?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/809 or 1?\nAnswer: 15\/809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, i: 3, z: 8}. What is prob of sequence xi?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 41 - 31. Suppose -5*n + 55 = 2120. What is the least common multiple of 1\/6 + n\/(-42) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 5261?\nAnswer: -5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 22 = 4*h, 3*o = -52 + 58. Calculate the common denominator of -77\/48 and ((-402)\/(-45))\/(4\/h).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) 34 (d) 11\/6349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d - 1. Let i(p) = 2*p. Let b = 6 + -8. Let t(q) = b*n(q) - 3*i(q). Factor t(v).\nAnswer: 2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00265523742 to 6 decimal places.\nAnswer: 0.002655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from hxxyxrxh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2, -2\/15, -823, -8?\nAnswer: -823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (7 - 11) + 3 - 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 526, 2, -2, 5, -3 in descending order.\nAnswer: 526, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 20*t**2 - 2*t. Suppose 7 = -43*d + 42*d. Let c(v) = -v**3 + 9*v**2 + v. Let y(x) = d*c(x) - 3*g(x). Factor y(w).\nAnswer: w*(w - 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62008879 divided by -1?\nAnswer: 62008879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5385 = -2*u + 5379 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + z + 100755 = 0, 107*n = 103*n + 5*z + 100735. List the prime factors of n.\nAnswer: 2, 5, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -127?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 15*g + 535. Let b = g + 293. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4525)\/8145)\/(10\/48).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 8. Let x be -2*(-7)\/14*1. What is the remainder when 23 is divided by 2 + 0 + x + 11\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -626, 146, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - x - 5*x - 3 + 2*x in the form u + r*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041158696 rounded to five decimal places?\nAnswer: 0.04116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 - u**2 + u**2)*(-5 + 1 + 2) + 5*u**3 - 3*u**3 + 18*u**2 + 4981 - 4982 in the form r*u**2 + v*u + f + t*u**3 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-91)\/(-3) + -3*(-4)\/(-36). Suppose -3*q + c = -48. Let p be (-143)\/((-3)\/12*2). What is the greatest common factor of q and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3001030 - -3?\nAnswer: -3001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d - 99*d = 126 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/(a\/(a\/a**(-14\/5)))))\/a*a)\/a)\/a*a)\/(a\/a**(-2)) assuming a is positive.\nAnswer: a**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let t = 3 - g. Let d(n) = 3*n**3 - 2*n**2 - 2*n. Let h(u) be the first derivative of -u**4\/4 + u**3\/3 + u**2\/2 - 3. Give t*d(x) + 7*h(x).\nAnswer: 2*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-45)*-6 + (-26)\/65\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 2*b**3\/3 + 3*b**2\/2 - 3*b - 46. Let o be j(0). Let r(s) = -5*s + 7. Let q(k) = 1. Let i(a) = -5*q(a) + r(a). What is i(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119915166 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 5 + 5 + 0*g**2 + 3*g**2 - g**2 + 3*g**2 - 5*g**2 + 0*g**2 + (-2*g + 5*g - 2*g)*(-5*g + 3*g + 3*g) + 4 - 4 + 2*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30204.1874 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -7 - (1 - 0). Let z(o) = -o**3 - 6*o**2 - 7*o - 4. Let k be z(-5). Calculate the highest common divisor of c and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. What is the lowest common multiple of 11 and j(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 g when three letters picked without replacement from ezzzzzeeeegzgzggz.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:12 AM?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -242*l + 247*l = -2*b - 40, 5*l - 1450*b = -40 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2160\/(-156600))\/((8\/10)\/4)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 508445*g**2 - 2*g + 508814*g**2.\nAnswer: 369*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/12))**(-3))**(-4\/33) assuming y is positive.\nAnswer: y**(1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 456241 - 236570 = 0. What are the prime factors of w?\nAnswer: 3, 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, -0.5, 17 in increasing order.\nAnswer: -1, -0.5, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 72 = -3*x - 74, 3*c - x = -18. Let z(k) = -k**3 + 5*k**2 + 8*k - 9. Let d be z(6). Let h = d + -3. Sort h, c, -5\/2, 3\/2.\nAnswer: c, -5\/2, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 1 + 10 + 21)*(v - 4*v + 4*v).\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7 - (-224)\/49)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60949 = 43*x + 60691 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**24*n*n**(-1)*(n*n\/(n\/(n\/(n\/n**(-25)))))\/(n*(n*n**(2\/23))\/n*n*n*n) assuming n is positive.\nAnswer: n**(-94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 6*i - 4. Let f be n(4). Let x = f - -24. Let d = x - 6. What is the remainder when 17 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p - 7. Let z be b(-8). Suppose 2*h + v - 6 = 0, -3*h = -6*h + v + z. What is the remainder when 10 is divided by 1\/(h\/36*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 27 - 3 = 0. Let u = -8 - k. Let l = -5 + u. Let c(z) = z**3 - 5*z**2 + 4*z - 2. Give c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -41. Suppose -u*h = -330 + 14. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53350300 - 11?\nAnswer: -53350311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -z + 4*z - 66, 5*z = 4*o + 83. Let c = z - 14. Let d(j) = 8*j**2 - 9*j - 6. Is d(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a decade in months?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m - 238. Let u be b(29). Suppose 9*q = u*q - 19*q. Solve 0 = o + 4*l - 2*l, 3*o + 5*l - 2 = q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15599 divided by 6?\nAnswer: 15599\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/121, 0, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -53. Let s = 3 + -1. Let l be (-256)\/(-10)*15\/s. Calculate the greatest common divisor of l and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*b = -8*b - 3, 0 = -2*i + 4*b + 32. Solve -2*w + i = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m\/m**(-2\/5))\/m)\/m)\/m)\/m*m**7)**(-4\/5) assuming m is positive.\nAnswer: m**(-108\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15742 greater than or equal to -4218695\/268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24557.2 meters in kilometers?\nAnswer: 24.5572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217564*s - 217765*s - 217574*s + 652902*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*a. Suppose 0 = w + a*w - 12. Is 8\/(-2)*(-31)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 190 = -5*v + 84, -9*r - 157 = 8*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-75)\/(-9))\/((-3)\/9). What is the hundreds digit of (-2876)\/d - ((-30)\/8)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwk. Give prob of sequence pk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h - 1. Let n be k(-1). Let l(u) = -n*u + u + 5*u. Let i(b) = -7*b**2. Give l(i(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:40 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(6\/5))**(-3\/20))**(1\/54) assuming u is positive.\nAnswer: u**(-1\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1\/10)*b)\/b)\/b)\/b)**(-2\/15)\/((b\/(b*b**(-3)))\/b**(-13)) assuming b is positive.\nAnswer: b**(-393\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 12. Suppose -3*h = -h - d. Find the third derivative of 2*y**2 - 2*y**5 - h*y**5 - 5*y**2 wrt y.\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/47838 and -6\/805.\nAnswer: 5501370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2 in ascending order.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 518\/12303?\nAnswer: 518\/12303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -0.5. Let i = 3 - 3. Let m = 3.8 + -0.8. Which is the second biggest value? (a) i (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5300, -10603, -15906?\nAnswer: -21209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24824959 + 25675041. What is q rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1489*u**2 - 31693*u**2 - 130694*u**2.\nAnswer: -160898*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111955310 or 111955311?\nAnswer: 111955310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-140)*7\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12*b - 260 = -8*b, 0 = -13*d + 3*b + 676. Let r be (-2)\/8 - (-246)\/(-8). Let c = r + d. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -173\/13*w**2 + 140\/13*w - 10\/39*w**3 - 25. Factor c(p).\nAnswer: -2*(p + 35)*(5*p - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose j*r = 41 + 39. What is the highest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1891 + 951 + 934 - 8*v - v**2. Calculate s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52063724 and 52063721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -4*f**7\/7 + 9*f**5\/10 + f**4\/6 - 2421*f**2\/2 - 6684*f. Find the third derivative of r(o) wrt o.\nAnswer: -1440*o**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10276383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 2. Suppose 0 = 3*a - 0*a + 18. Let x be v(a). Suppose 104 = 4*w - x. What is the remainder when 83 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {z: 2, e: 1, i: 1, t: 2, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 84, 73, 62, 51, 40?\n\"Answer: -11*c + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35563*b**4*v**2 - 3*b**4 + 204*b**2*v**2 - 457*b*v**2 wrt b?\nAnswer: 853512*b*v**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*i = -2*i + 34, 41 = 3*j + i. Let c = j + -2. Calculate the remainder when 24 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - -3.94. Let s = 87\/2 + -44. What is the closest to s in g, -3\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from uazaczucnnnua.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(22)\/sqrt(2)*3 - (sqrt(396) + 1 - sqrt(396))) + -3 + (sqrt(11)*-3)**2 + -2).\nAnswer: -93 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from {o: 10, f: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7370, 3, 10, 3\/4, 55, 1\/2, -4 in decreasing order.\nAnswer: 55, 10, 3, 3\/4, 1\/2, -4, -7370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhtthhhhhttht. What is prob of picking 3 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 y when three letters picked without replacement from syyspxppssyyysyy.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44253, 44238, 44211, 44172, 44121, 44058, 43983?\nAnswer: 43896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056149 is divided by 1475?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12417 in -1\/4, -4, -0.4, 0, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -8. Suppose -x - 16 = -3*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 5580*m**3 - 69 - 28529*m**4 + 25829*m**4 - 930*m - 3783*m**2 = 0. What is m?\nAnswer: -5\/6, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120\/11 or 11?\nAnswer: 120\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2460, -2051, -1632, -1203, -764?\n\"Answer: 5*z**2 + 394*z - 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - -4 - (7 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22*b**2 + 20*b + 1. Calculate l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*d**3 - 22292*d**2 + 3*d + 21730162 wrt d.\nAnswer: 186*d**2 - 44584*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:44 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 670886 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24546 + 2672 + 2667 + 3*a + 19207.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2266\/1545*-60)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0570335 to three dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 6 - 17. Let i = y + -6. Which is smaller: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:54 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 4*q - 4*q + (-5*q**3 + 3*q**3 + q**3)*(q**2 + 9*q**2 - q**2).\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1 - (-3 + 10). What is the common denominator of 266\/(-24) - (-2)\/8 and (r\/(-18))\/(4\/114)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -781*c**2 - 64*c + 34*c + 30*c to t*c + w*c**2 + x and give w.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16301, -33367, -50433, -67499, -84565, -101631?\nAnswer: -118697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84 and -1.9506?\nAnswer: -163.8504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341126, 682359, 1023578, 1364777, 1705950?\nAnswer: 2047091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69.59 + -34.01. Let m = o + -32.8. What is m rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 1649?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -509 from 938.837361.\nAnswer: 1447.837361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + 2 + (3 + 1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -30*o. Let a(v) = 12*v. Determine a(u(p)).\nAnswer: -360*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, z: 1, o: 1, r: 6, x: 1, f: 3}. What is prob of sequence fzrr?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 5:25 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.94318 + 11.9426. Let a = n - -12. Round a to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*x - 8, i - 4555 = 3*x - 4538 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/3 (b) -10 (c) -0.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 289\/4. Let w be (12\/15)\/((-14)\/35). Is o at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - (-29 + 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 3*p**2\/2 - 21*p + 17. Let z be s(11). Suppose f + z*f - 26377 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c3 (base 15) to base 9.\nAnswer: -2363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109053338 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-228586210\nAnswer: 6857586.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.37961 at least as big as 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -284. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55339.31ml to litres.\nAnswer: 55.33931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 16*w + 7*w)*((0*w**2 - w**3 + 0*w**2)*(0*w + 2*w - w)*(11 + 3 + 0) + (-3*w**3 - w**4 + 3*w**3)*(0 + 0 + 3) + 2 - 2*w**4 - 2).\nAnswer: 285*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 26. Let m(q) = -q - 3. Calculate -2*m(u) - s(u).\nAnswer: u + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 768 (b) 0.3 (c) -6 (d) 0.4 (e) 2 (f) -11 (g) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31248, -31247, -31246, -31245, -31244?\n\"Answer: m - 31249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (166 - (-119 - -123)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7))**(-25)\/(k*k*(k**(-2\/23)\/k*k*k)\/k*k**0) assuming k is positive.\nAnswer: k**(-883\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 556, 1431, 2306?\n\"Answer: 875*k - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 3*v + 4. Let m be l(-6). Let p = m + 87. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -370.\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**3 + 3*u**2 + u - 4. Let h(a) = 20*a**3 + 9*a**2 + 3*a - 12. Let y(t) = 6*h(t) - 17*p(t). Determine y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 y, and 1 m when four letters picked without replacement from {y: 2, x: 1, m: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 3*s**2 - 4*s - 41. Give w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 20\/4)*1. Suppose -2 = 5*n - 47. Let r be (-6)\/n + 17\/21. Which is the third biggest value? (a) r (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {g: 2, h: 4, a: 4, i: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {y: 1, r: 3, a: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - p + 0*p)*(-234 - 117 - 554 + 16)*(-2 + 3 + 2) to q*p + m and give q.\nAnswer: -5334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.795179 weeks to days.\nAnswer: 12.566253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 2296, 3854, 5414, 6976, 8540, 10106?\nAnswer: 11674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 2 t when four letters picked without replacement from {t: 3, y: 4, x: 2, q: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -241.4084 and -197.\nAnswer: -438.4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 33, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.4 (b) 3 (c) -5 (d) 2396 (e) -4 (f) 2 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**8*l*l**(-7))**33*l**(2\/23)*((l**7*l)\/l)\/l*(l*l\/(l*(l*l**(-2\/7))\/l))**(-2\/45) assuming l is positive.\nAnswer: l**(84549\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(((-128)\/(-1024))\/((-22)\/72))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -884 divided by 4.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2531576 divided by 35\nAnswer: -2531576\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 - 252\/45) + 287\/720 and -187\/180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*z - 15 + 2 = 0, -z = -5*a + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161378351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 315 = -2*t. Let h be t\/(-14)*10\/25. Solve -3*r - h = 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85011649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 15. Let n be q(11). Suppose 0 = -3*j - 0 - 6, 2*j - 11 = -5*t. What is the third derivative of n*r**3 - 5*r**t - 2*r**2 + r**3 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.2 - 35.5. Which is the nearest to 0.1? (a) -0.1 (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*j - 278*j - 42*j)*(-169*j + 12*j**2 + 169*j).\nAnswer: -3228*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(-8\/11))**9 assuming v is positive.\nAnswer: v**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 639 - 634. Put m, 6, -1, -18 in descending order.\nAnswer: 6, m, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:53 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 323*i**2 - 146*i - 47156. Determine o(-323).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 357.6821km?\nAnswer: 357682100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(7\/2)*t*t\/((t*t**(1\/19)*t)\/t))**41 assuming t is positive.\nAnswer: t**(6929\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18151, 5, -24, -18, 1 in increasing order.\nAnswer: -24, -18, 1, 5, 18151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -395*r**2 + 38*r + 617. Let u be h(-19). Round u to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8746 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:42 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*y + 906*y - 3673*y + 924*y + 888*y.\nAnswer: -88*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -83*w - 8380. Calculate j(-101).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 46 = -91 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6181000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 2) + 2 + -2. Suppose -3*r = -0*r + m. Let b = 189\/5 - 38. Is b < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u. Let p(s) = 20*s. Let b(w) = -2*w - 55. Let f be b(-19). Give f*m(h) + 6*p(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + 324a?\nAnswer: 322a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 5*c - 63, -3*w = -c - 1231 + 1207 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 62986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3803 + 17508. Suppose -11*r + c - 4256 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22521645 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 100122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + f = 44, 3*n - 4*f - 64 + 12 = 0. Let d be 352\/10 + (-2)\/10. Let z = d - 15. What is the lowest common multiple of z and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -653 - -1275. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 257, 509, 747, 965, 1157?\n\"Answer: -z**3 - z**2 + 262*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -119611.8.\nAnswer: -11961.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203046877 rounded to 5 dps?\nAnswer: 0.20305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*w = 10, -l = 4*l - 3*w - 21. Let r(a) = -2 + 8 - 5*a**2 + a**l - 7*a + 5*a. What is r(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11 - 11 - 4*p + 22. Give w(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 v when four letters picked without replacement from wwvvwvvwvwvsvnwwwvwn.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(72)\/sqrt(8) + sqrt(45)\/sqrt(5)*-4)\/((1*sqrt(600))\/(sqrt(8) - -3*-1*sqrt(8))).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 23*d - 15*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -27. Suppose -q*t - 5444 = -2*x, -13*x + 4*t + 2714 = -12*x. Round x to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -18. Solve -2*u - 3*m - 7 = -0*u, n = 5*u + 2*m + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1188 = 3*f, -c - 40 = -f - 426. Let a = f + 1038. What is a rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 53 = 5*d, 0 = -d - p + 17. Solve 3*r + 3*j + d = 0, -r - 8 = -4*j - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 51*c + 35. Let k be r(3). Calculate the highest common divisor of k and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(10\/((-4070)\/(-33)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 18348*p**2 - 28163856*p + 335329344.\nAnswer: -3*(p - 3052)**2*(p - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 108*v - 6. Let r(f) = f**2 - f - 2. Let g(n) = j(n) - 3*r(n). Let k(c) = 2*c**2. What is g(k(m))?\nAnswer: -24*m**4 + 222*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 25*f - 26*f. Suppose 0 = -2*o - f*n + 165, 2*o - 2*n - 2*n = 138. What is the highest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04498 at least -1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 0.04748.\nAnswer: 0.25252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187649811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/(z*z*z*z**(-14)*z)*z)\/z)*z*z**(-2\/43)*z\/z**(-27)*z*z*z*z\/(z\/(z\/z**(-1\/4)*z*z))*z*z)**(-39) assuming z is positive.\nAnswer: z**(-189189\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*a - 119 = 0, s = -2*a + 60 - 17. Suppose j = -2*g + 2*j + 88, g = 2*j + s. Suppose 11 = 4*i - g. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (223 - 235) + (-14)\/(-2) + -1. What is the nearest to -1 in 4\/7, s, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 17*l**2 + l + 87. What is the hundreds digit of n(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*k + 8, 5*k - 6*k = -3*q - 2. What is the nearest to 12 in q, -5\/6, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 181 = -182 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 206a6?\nAnswer: 206a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22866\/333*(-3)\/14 - ((-3 - 5) + -3).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 338, -2, -4, -1, 213 in decreasing order.\nAnswer: 338, 213, 5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 18. Calculate the smallest common multiple of 68 and u(14).\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -409, -823, -1237, -1651?\n\"Answer: -414*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177216959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(2 - 5 - 2)*(1 + 1 - 4)*(-20*n + 38*n - 15*n + 3).\nAnswer: 90*n + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(15\/4)\/a)*a**(-2\/49)\/a*a assuming a is positive.\nAnswer: a**(-351\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 1. Suppose -2*h - h = -12. Let z(r) = -r**2 + 5*r + 1. Let l be z(h). Suppose -16 = -l*w - 6. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20999, -41967, -62949, -83951, -104979?\n\"Answer: -y**3 - y**2 - 20958*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -417041100 to the nearest 1000000.\nAnswer: -417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 6993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111 + -24?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10989764.\nAnswer: 2, 2747441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + b + 3*b**3 - 2*b**3 - b**2. Let p be y(0). Is -1\/2 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/367, 0.0062, -8660, 0.5?\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018568*-0.1.\nAnswer: 0.0018568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + 0.49. Suppose -2*w = 7*s - 3*s - 4, -5*s = -4*w - 18. Sort v, -5, s in increasing order.\nAnswer: -5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g*g\/(g*g**(-2\/7)))))**(-26)*(g*(g\/g**31)\/g)\/(g*g**3\/g) assuming g is positive.\nAnswer: g**(-647\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.6199 grams in micrograms?\nAnswer: 603619900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/12)\/((-2)\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7656 divided by -1914?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 21 + 7)*(2*c - 14 + 14) + (0*c - 3*c + c)*(-1 - 3 + 2) - c - c + c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*u + 573 = 176*u + 178*u. Which is smaller: u or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c + 25 = 0. Suppose -j + 0 - 1 = 0, -20 = -2*z + 2*j. What is the remainder when z is divided by (-2 - (-3 + 2))*c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59229 (base 12) in base 3?\nAnswer: -20001222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -6, -2 in descending order.\nAnswer: 7, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 53*h + 36. Let y be k(22). Let a = -463\/2 + y. Factor 1\/2*u**5 - 1\/2*u**4 - a*u**3 + 4*u + 2 + 1\/2*u**2.\nAnswer: (u - 2)**2*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 156 = 99 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8992 is divided by 4488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466 by -4.\nAnswer: 233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11565841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -167*s**8\/48 + s**6\/40 - 2719*s**5\/60 + s**4\/24 - s**3\/6 + 9794*s**2. What is the third derivative of j(b) wrt b?\nAnswer: -70140*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 2166*q**3 - 19737*q**2.\nAnswer: 3*q**2*(q - 9)*(q + 731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*i + 394*i - 162*i - 33 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2330693 - 669*d**2 - 2330693.\nAnswer: -669*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -13*m - 70. Suppose 0 = -2*q - 6 - 14. Is 20 a factor of v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84948*a**3*n*q**3 + 2*a**3 - 6126*a**2*n*q**2 - 88*a*n*q**3 + 1065*a*n*q wrt q?\nAnswer: 509688*a**3*n - 528*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -13 - (-26 + (-7 - -12))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 131, 9.896?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ill?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275989?\nAnswer: 11, 13, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + ((sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(6) - (sqrt(180)\/sqrt(10) + sqrt(2))))**2*4.\nAnswer: -80*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -202 + 214 - (1 - -13) - 37?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**1)\/c)**(2\/31)\/(c*c*(c*((c**1*c)\/c)\/c)\/c)**(8\/3))\/((c**(1\/4))**(-20)\/((c\/c**0*c*c*c)\/c)**(7\/6)) assuming c is positive.\nAnswer: c**(601\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -33*c - 5. Let y(d) = 50*d. Determine y(z(g)).\nAnswer: -1650*g - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -6. Suppose u = 4*l - 4. Calculate the remainder when 6 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/810)\/((5\/5)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*l + 1. What is the smallest common multiple of l and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - o. Let p be h(1). Solve 5*g - p*g = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucucc. Give prob of sequence ccu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1321 - 13*x - 2*x**2 + 15*x - 2*x - 1856.\nAnswer: -2*x**2 - 535","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34778950 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -75272 (b) -1.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * 1845.39\nAnswer: -424.4397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -z - 11*d + 10*d, 3*z + 5*d = -39 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3aa (base 14) to base 9\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1501\/(-209) - (-2 + -5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 6*j + 4*j - 72 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 10 + 11)*(0 - 7 - 2)*(2*a + 2*a - 3*a)*(-2 - 2*a + 2) as t*a + j*a**2 + n and give j.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-70))\/(3*4\/30).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*-120*5\/(31 + -11).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 617 + 0?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 17)*(0*t**3 + t**4 + 0*t**3).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 + 2*a. Let k(r) = 7*r**3 + 22*r**2 + 89*r + 98. Let w(s) = -6*h(s) + k(s). Factor w(p).\nAnswer: (p + 2)*(p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 299?\nAnswer: 5.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219992492?\nAnswer: 2, 29, 31, 131, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-8))\/(6\/16). Let k = 11 - l. Suppose -5*g + 8*m = 4*m + k, m = -3*g + 14. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 14. Let o be s(6). Solve o*m = -p + 3, -3 = 2*m + m + 3*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 2778 = -2810 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -21*v - 19*v + 59*v + 8*v**2 - 18*v. Let k(h) = -42*h - 7*h + 50*h. Determine q(k(z)).\nAnswer: 8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 275341269?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.76939 millennia to centuries.\nAnswer: 637.6939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) + (-3 - -8). Let b(f) = f**3 - 5*f**2 - 5*f - 2. Let w be b(6). What is the second derivative of 6 + o*u**2 - 2 + u - w wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 3.47.\nAnswer: -1.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 9*s + 12. Let d be y(-8). Suppose -4*g + 0*x + d*x - 560 = 0, g = 4*x - 137. Let u = -66 - g. Calculate the highest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54093.\nAnswer: 3, 13, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -405144 divided by -1986\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/15*1*6. Let d(f) = g*f - 7 - 2*f + 12*f. Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 35*c + 8*c = 6*c. Sort c, -2, 8, 5 in decreasing order.\nAnswer: 8, 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 19, 2 in decreasing order.\nAnswer: 19, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -91, -249, -573, -1123?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 888507*f + 4442535. Calculate b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -36 and -0.47344.\nAnswer: -36.47344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91.135 + 0.135. Let p = 95 + v. Which is the nearest to 1? (a) -0.5 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 327, 492, 657?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224635311 and 903.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*z - 13 = -2*z, 3*z = -5*j + 30. Suppose 9 = -d + j. Does 7 divide ((-28)\/d)\/((-10)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 8. Let p be u(5). Suppose 0 = 7*w - 5*w - p. Solve w = q - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y + 320. What is h(22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 109, -0.37, 3\/4, 0.3, -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03728 + -12735.06272. Round m to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 5*v + 9. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -17.3. Let x = 65 - 64.9. Which is the nearest to x? (a) i (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 5 + 1. Let x = 10 - 10. Solve p + x*p = h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172889072*h - 172889072*h + 16383*h**4)*(-1 + 3 + 1).\nAnswer: 49149*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36801515 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 3*n - 4*p + 286, 0 = 3*n - p - 262. Does n = 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 23*o**2 - 49*o + 37. Let x be q(-25). Suppose 12 + x = -4*p. Let l(j) be the first derivative of j**3\/3 + 4*j**2 + 7*j - 1. What is l(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7522 - 579?\nAnswer: 6fa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/150 and -121\/250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**3 - 4*z**2. Suppose -27*a + 5 = -26*a. Let p(t) = -7*t**3 - 3*t**2. Determine a*f(o) - 7*p(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*g + 3*g + 11, -5*g = 4*t - 118. Suppose 1733*i = 24040 + 43320 + 24489. What is the remainder when i is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*8\/(-4) + -12. Let p = n + 26. Calculate the least common multiple of p and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 4 + -2)\/2*-2. Factor 103 - 165 - 4*x**r + 94 + 8*x.\nAnswer: -4*(x - 4)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 380 - 19730. Suppose -5*k - 3*u + 8*u + c = 0, 2*u + 2014 = k. Let x = k + -1193. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p + 0*p - 4*p + 10*p. Let n(w) = -10*w. Determine q(n(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -598280, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/80 and 25\/72?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2578 and 15.908251?\nAnswer: 16.166051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 101745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 824043.\nAnswer: -1\/274681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5 = h, k = -2*h - 15 + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 170 + -163 + -107 + -4 + 10 + -5.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.64 - -6.64. Which is the closest to 8? (a) 0.5 (b) f (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**(-1\/9)*g))**(16\/7))**(-43) assuming g is positive.\nAnswer: g**(11696\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 18*u + 447 - 43, -4*j + 5*u + 114 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 676 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*y + 305*y - 8465 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - g**2 - g - 7 + 2*g. Suppose b + 4*f = -16, -303 = 5*f - 288. Give c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 9, 56, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Suppose -r - 2 = s, -g*s - 8 = -4*r + 2*r. Let m(v) = 4*v - 7*v**2 - 2*v**2 - 4*v + 1. Determine m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268360 is divided by 7857?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-26)*(-3)\/(-9)*-2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -454 (base 11) to base 4.\nAnswer: -20133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -259431*(-19)\/10. Let g = -493645 + x. Let d = 724 + g. Calculate the common denominator of d and -109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -0.1 (b) -1 (c) 0.3684 (d) 0.3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let z = 177.22 - 183.22. Which is the closest to t? (a) 5 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 + 1 - 5*g**3 - g**2 - g**3. Let b be u(1). Solve 0 = w - b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/126 and 109\/105.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 30*t**2. Let w(g) = -1288. Let f(x) = -1387. Let h(u) = 13*f(u) - 14*w(u). Determine d(l) - h(l).\nAnswer: 30*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10632, -10611, -10574, -10515, -10428, -10307, -10146?\nAnswer: -9939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3953, -6629, -17213, -27799, -38387, -48977, -59569?\n\"Answer: -b**2 - 10579*b + 14533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21131*v**2 + 21131*v**2 - 57*v**4 + 3*v + 9*v**3 + 196*v**4 to the form d*v**2 + j + u*v**3 + a*v**4 + x*v and give a.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a minute in seconds?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 14 = 0. Let c = 4 - y. Is 63\/14*(-4)\/c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/36*441\/105*(-72)\/63?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8753 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 9*c - 7. Let g be d(10). Suppose 3*b - 15 + g = 0. What is the highest common divisor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*u - 4, 33*u = 34*u + 5*a + 22. Solve -5*m + 2*r = u, 4*r - 2 = -2*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 534355055 - 2?\nAnswer: 534355053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482081\/33 + -14611. Find the common denominator of p and -7\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - 5*l**4 + 3*l**4 + (-4*l + 4*l + 2*l)*(4*l**3 + 3*l**3 - 5*l**3) - 2*l**4 + 2*l**4 + 2*l**4.\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 2 (b) -0.5 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/12 + 3*z**2\/2 + z. Let y be d(0). Suppose -3*m = 736 - 748. Solve -y*i + 5*v + 0 = -m, 5*i + 3*v = 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 1238*h - 23249. Give f(-19).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((4 - -14) + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + -62. Suppose 5*s - x = -411 + 2339, 5*s - 1936 = -3*x. What is the tens digit of s\/8 + l\/(-80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2592*g**3 + 2663*g**3 - 5248*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3)*9 - 0\/(-508).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(11) - sqrt(11)*1) + sqrt(396)*4.\nAnswer: -3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 - 9018*r + 9019 = 0?\nAnswer: -9019, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in 2, -3, -0.3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -167 (c) 0.3 (d) -0.15 (e) 1\/58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14\/((v\/v**(5\/2))\/v**(1\/2)))\/((v*v\/v**(-2\/3)*v**(-1\/5))\/(((v**2\/v)\/v)\/((v*v\/v**(-2))\/v))) assuming v is positive.\nAnswer: v**(158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 153*-962.\nAnswer: -147186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*w + 29, -2 = -w - 2*y - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22 + 22 - 11 + 55*j**3 - 1 wrt j?\nAnswer: 165*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(48)\/(sqrt(72)\/sqrt(12))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -309. Let l(w) be the first derivative of -42*w**2 + 16*w + 275. Let m be l(0). Calculate the highest common divisor of f and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-10))\/((-2)\/12))\/(28\/28)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let t = 9 + -7. Suppose 7*n - 25 = t*n. Let r(k) = 0*k - k + n*k. What is 2*c(h) - r(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*v - 42, 2*v - 34*k - 14 = -30*k. Solve -v*q - 114 + 159 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16682.66 or 0.1?\nAnswer: 16682.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87.29 + 86.79. Let l = 6 - 10. Which is the fourth smallest value? (a) l (b) -3 (c) -6 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**6\/280 - n**5\/420 + n**4\/56 + n**3\/42 - 3*n**2. Factor f(l).\nAnswer: -(l - 1)*(l + 1)*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.7546 millilitres in litres?\nAnswer: 0.5527546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygyii. Give prob of picking 2 y and 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 times -0.3?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -20, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10136 less than -10142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -147091689 rounded to the nearest 10000?\nAnswer: -147090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 595 - 594.996565. Round q to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 6. Does 8 divide g\/(-2*3\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, p: 15}. Give prob of picking 2 p.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2967 and 4?\nAnswer: 11868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 2, p: 6, g: 3}. What is prob of sequence wwbp?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 5756500.\nAnswer: 5756496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1313780.9 * -5.\nAnswer: -6568904.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -34*d**2 + d - 1. What is g(2)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -350101 (base 8) to base 12\nAnswer: -58941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 25601, -6, -1477\/3 in decreasing order.\nAnswer: 25601, -6, -1477\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -15, -30, -45?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397960 is divided by 244?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -13. Let o be ((-2744)\/(-10) + n)*900\/54. Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -0.4, 0.5, -11, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/198, -4, -0.05?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021212 + 113?\nAnswer: 2021331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65.7868 + 0.0132. Let x = -66 + w. Which is the second biggest value? (a) -1\/3 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = d. Let n = -3 - d. Suppose 2*q - 2 - n = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, 2, -6 in increasing order.\nAnswer: -6, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/33 and -29\/550221.\nAnswer: 6052431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 432245*j - 4. What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131.999939 + -132. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75290.49ug?\nAnswer: 0.07529049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 23*i - 2. Let t(g) = g**3 - 7*g**2 + 9*g - 18. Let z be t(5). Let f be c(z). Is 21351\/44 + 2*f\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 112 = 24*a. Let h(k) = 14*k**2 - 4*k + 35. Let j(r) = 5*r**2 - r + 12. Let i(m) = 4*h(m) - 11*j(m). Let d be i(a). Which is bigger: 8 or d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 21*j**2. Let y(a) be the third derivative of -a**5\/60 - 8*a**2. Give b(y(w)).\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 6358.\nAnswer: -5\/6358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 73?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762 and 31328106.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2338810*m + 2480953.\nAnswer: -2338810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:35 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -38*r**3 - 211*r**2 - 11*r + 14. Let d(s) = 14*s**3 + 70*s**2 + 4*s - 5. What is -11*d(u) - 4*y(u)?\nAnswer: -2*u**3 + 74*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z = -11*i + 134*z - 73, -5*z - 100 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2957 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 + 33. Let z = p + 577. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41135 and 1135.\nAnswer: -40000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14*k**3 + k + 1. Calculate the lowest common multiple of h(-1) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*z**4 + 10\/7*z - 12\/7 - 10\/7*z**3 + 10\/7*z**2 = 0. What is z?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 2. Let g be i(-2). Let o(q) = g - 4 - q + 218*q**2 - 227*q**2. Calculate o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1961*t**2 - 84*t - 328. Is u(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + (-23 - -8) + -76 + 92.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**5 - 5*g**2 + 5*g**2)*(-1 - 1 + 4 + (0 + 0 - 1)*(-1 + 1 + 1))*(3 + 0 - 4) + (g**2 + 2*g**3 - g**2)*(-4*g**2 + 0*g**2 + 2*g**2).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 200313?\nAnswer: -200310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7030\/76)\/(-37)*(-32)\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h = 77*h - 54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-9)\/(-6))*14. Is (-487)\/(-3) - 14\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/4 + 7*i**2\/2 + 2*i. Let x(n) be the first derivative of k(n). Let d(t) = -4*t**2 + 5*t**2 + 0*t**2. Determine x(d(m)).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 30*y + 33*y + 31*y - 91*y + 55.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oommojfjgjo. What is prob of picking 1 g and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:56 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14114 (base 6) to base 7.\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - (-3 - (2 + -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnncznnnncnnc. Give prob of picking 1 z, 1 c, and 1 n.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 6*i = -2*i + 3785260. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (11 - 1) + -25 + (-7 - 26 - -7)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.85099 - -0.2.\nAnswer: -33.65099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 3, y: 1, b: 3, r: 1}. Give prob of picking 1 s and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 34*y - 32*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77309 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyye when four letters picked without replacement from {h: 5, e: 9, y: 2}.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3.95 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkkkbapbilkk. Give prob of picking 1 i and 1 p.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*k - 162*k + 80*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9314926*l**4\/9 - 8980258*l**3\/9 - 36740*l**2 - 3992*l\/9 - 16\/9 = 0. What is l?\nAnswer: -2\/167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 324?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clllccllllllcccccllc. What is prob of picking 4 c?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -711*k**4\/4 + k**3\/3 - 201*k**2 - 4722. What is the third derivative of h(f) wrt f?\nAnswer: -4266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idididddddddid. Give prob of sequence dddi.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*1*(-6336)\/(-352)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxpgtcg. Give prob of picking 1 x and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - 12 - (-15385)\/(-724).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/5 - (-3090)\/300 and -97\/650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2204 - 2206. Sort k, -15\/7, -0.2, 2 in ascending order.\nAnswer: -15\/7, k, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 (base 16) in base 4?\nAnswer: 22103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4\/9, 46, -21, -2.6 in decreasing order.\nAnswer: 46, 4\/9, -2\/5, -2.6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36850\/117351 - -2\/6903. Let m = -7\/848 - -8381\/848. Find the common denominator of g and m.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 342760.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -278, 87 in ascending order.\nAnswer: -278, 60, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-328)\/(-36) + -6 + -3. What is the nearest to 1\/3 in -0.07, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s + 67*s**3 - 102*s**3 - 137*s**3.\nAnswer: -172*s**3 - 58*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y + 51*y**3 - 3*y**2 - 17*y)*(-5*y**2 + y**2 + 7*y**2).\nAnswer: 153*y**5 - 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9213859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 0 + sqrt(288) + 2 + 5 + (sqrt(14)\/(sqrt(35)\/(sqrt(20) - sqrt(5))) + 0)*5.\nAnswer: 7 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/((-3)\/3*-2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7067627760 = -6*r. Let j = r + -23266630370285\/9876. Let y = j + -3\/3292. Calculate the common denominator of y and 5\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -4. Is p greater than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2958 + 2953. What is the second smallest value in 1, d, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2195818.\nAnswer: 2, 1097909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose 0*r + 10 = 2*r. Which is the closest to 1? (a) r (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*l**3 + 74*l**3 + 121*l**3.\nAnswer: 253*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0\/2)*(-60)\/10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2452 = 4*o, 598 = -0*b + b - 2*o. What is the greatest common factor of b and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 != -1120924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 69\/((-2277)\/264)*-1*1*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (2 + (0 - 4) - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 169 (base 10) to base 14\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1526 - -2991. What are the prime factors of u?\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 8. Let t be p(-6). Suppose 4*b - 4 = t*u, -2*u - u = b - 8. Factor 0*y + y**b + y - y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4012?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-558 + 107 - 206)*(1 + y - 1) to the form p*y + o and give p.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -6 - -4) + -8 - (0 + -7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564 and 20?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -598 + 1690. Suppose s + 36208 = 20*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338374440 a multiple of 2685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-50)\/12)*(-35)\/70\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Let u = 15 - t. Let o = u + -8. Put -1\/4, -0.3, o in descending order.\nAnswer: o, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19462.86 to the nearest ten.\nAnswer: -19460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpzzzfffwpowzzk. Give prob of sequence zwpp.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 37 = -10*w. Is w > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Suppose 7*f = 2*f + 100. Suppose 3*v = -5*p + 6, f = 4*p - v + 5. Sort p, 2, i in ascending order.\nAnswer: 2, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19560052.\nAnswer: 2, 4890013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46370.61l to millilitres.\nAnswer: 46370610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and 361821.\nAnswer: 15920124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**4 + g**4 + g**3 - 9*g + 8*g - 124 + 123 to v*g**4 + t*g + i*g**3 + d + p*g**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(45\/1610) + -1. Let q = i + 364. What is the highest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285\/513*(-546)\/(-5005)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51515 is divided by 5647?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10987353 and -3.\nAnswer: -32962059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -19630*t + 643. What is the thousands digit of u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose 0 = x + 2*x + 36. Let k be (-5 - x) + 1*-2. What is the greatest common divisor of f and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23220111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1236336 and 372549248.\nAnswer: 1117647744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -98. What is the tens digit of (692\/(-6))\/(k + 99\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 7. Let n(s) = 2*s**2 + 2. Let a(v) = 7*v**2 + 6. Let f(u) = -a(u) + 4*n(u). Let j be (28\/35)\/(4\/(-10)). Calculate j*z(w) - 7*f(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/508258835?\nAnswer: -1\/508258835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21762 (base 8) to base 4.\nAnswer: -2033302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2317 and 3972.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2724120.\nAnswer: 2724120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:02 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 608\/44 + 5*8\/220. Suppose -5*l + 2*i + 1125 = 0, z*i - 9*i = 3*l - 656. What are the prime factors of l?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*o - 26, -4*l + 4*o = -75 + 19. Suppose -3*h - 2 = -8. What is the smallest common multiple of l and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**2 - 3*y + 5. Let t(c) = 15*c**2 + 7*c - 10. Let n(p) = -6*t(p) - 14*u(p). Differentiate n(h) with respect to h.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 16*a**3 - a**2\/2 - 15*a - 10. Let n be j(-3). Suppose 11*i + n = 14*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 428 + -323. Let x be (u\/20 + -5)*-4 + 211. Calculate the highest common factor of 294 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 366, 691, 1292, 2253, 3658, 5591?\nAnswer: 8136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**8\/240 + g**5\/12 + 7*g**3\/3 - 4. Let j(z) be the third derivative of d(z). Find the second derivative of j(k) wrt k.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 708, 1536, 2682, 4152?\nAnswer: 5952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32983045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i - 4. Let z be (1 + -3)\/2 - 1. Let p be u(z). Suppose -4*y + 6 = p. Which is bigger: y or -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9064, -72425, -244306, -578935, -1130540, -1953349, -3101590, -4629491?\n\"Answer: -9038*a**3 - 32*a**2 + a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 2. Calculate the smallest common multiple of f(0) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(16))\/(-2*sqrt(720)).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 148*m**4 - 148*m**4 - 29*m**5 + (0*m**2 + 3*m**2 - m**2)*(-19*m - 8*m**3 + 19*m).\nAnswer: -45*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -33. Let a(l) = 2 + 4*l - 12 - o*l. Calculate the remainder when a(-14) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8 - ((-5 - -8) + -4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 48996.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 12.1. Let r = t + 13.3. Round r to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = 4. Suppose 5*l + 19 = 3*x, -5 = -3*x - 4*l + 2*l. Put 2, x, h in increasing order.\nAnswer: 2, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) + sqrt(2) + -1 + sqrt(2) + 3 + sqrt(2))**2*-6 + -2.\nAnswer: -216 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15517, 32081, 48645?\nAnswer: 65209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 12276 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 m when three letters picked without replacement from gmqby?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 622714 and 692128.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {d: 4, b: 3, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020551743.\nAnswer: 587, 1738589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*j - 127*j + 253*j - 2*j**3 + 1 - j**4 to o*j**3 + u*j**4 + v + w*j + g*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63292\/3233 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k**5\/k*k**(-11))\/((k*k**(-2\/7)*k)\/k**4*k**28) assuming k is positive.\nAnswer: k**(-227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*g + 4)*(5 + 4*g**2 - 8*g**2 + 0*g**2) as y + k*g**2 + a*g**3 + i*g and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*z + 195*z - 396*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -396719181689\/52726872 + -8\/2196953. Let j = a - -7521. Calculate the common denominator of -181\/30 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105365, 210839, 316443, 422183, 528065, 634095?\n\"Answer: a**3 + 59*a**2 + 105290*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 + -218. Suppose 3*h - 12 = v, 0 = 3*v - 0*h + p*h - 24. Let -46\/3*w**2 + 1\/3*w**5 - 3 + 10*w**3 - v*w**4 + 11*w = 0. What is w?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 11. Let b be q(14). Put 5, -4, b in descending order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 195 = 5*d - 2*k, 2*d + 2*k = -90. Let o be (-4)\/10*(-10 + d)\/10. Solve -4*y - 19 = -3*g, y + 7 = o*g - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2787 - 402 + 120 + 356*c**2 wrt c?\nAnswer: 712*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-8 - -4))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 2*m - 5. Let z(j) = 12*j**2 - 5*j + 14. Calculate 8*i(t) + 3*z(t).\nAnswer: 4*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 10, -228?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + 3)) + (5 - (16 + -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1910 - 1710.2. Let a = n - 200. Let l = 1.99 - -0.01. What is the closest to a in 0, 0.1, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -174.98 (b) -0.05 (c) -2 (d) -25 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.73 and -0.3648?\nAnswer: 0.266304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -334214 (base 5) in base 3?\nAnswer: -121012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 1:13 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqtqbobr. What is prob of picking 1 q and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5 - 39*b**4 - 165*b**3 - 309*b**2 - 264*b - 84 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -94\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-12))\/(z*z**(-2\/5)))**(5\/9) assuming z is positive.\nAnswer: z**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 871 - -1351. Suppose 4*w + u = -1698. Let k = w + 9829\/10. What is the common denominator of -31\/8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25832 divided by 4.\nAnswer: -6458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2656 (base 7) to base 5.\nAnswer: -13041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11004777835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.107 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/60 + w**4\/3 - 5*w**3\/3 - 46*w**2. Determine j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13758137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3\/2 + j**2\/2 + 4*j. Let x be ((-2)\/(-4))\/(2\/(-12)). Calculate d(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -36*m + 63. Suppose -14*k + 2497 = -9*k + r, 0 = 5*k - m*r - 2489. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 4*d**2 + 5*d + 7. Let a be r(5). Solve a*c - 20 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35963*s**2 + 474*s - 2?\nAnswer: -71926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109207805 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from mmmmmuumummmmmmmmumu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 21.4. Which is the biggest value? (a) d (b) 0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5688 and 2133.\nAnswer: 17064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 + 52*w**3 - 25*w**3 - 12*w**3 - 2*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535 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: Differentiate 2*g**3*z - g**2*n + 14*g*n*z + 2*n*z - n + 19*z wrt g.\nAnswer: 6*g**2*z - 2*g*n + 14*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 11*v + 24. Let a be w(-3). Suppose a = -4*o - 3*i + 159, -8*i = 2*o - 4*i - 72. What is the remainder when 292 is divided by o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 12. Let u be (g - 3)*1\/((-15)\/(-54)). Let h be ((-10)\/(-15))\/((-3)\/u). Solve 0*x = -h*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168112 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -0.4, 15, -0.04, 3, 1, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 11*z - 8. Let d be f(3). Calculate the highest common factor of 176 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.2, 0.3, -14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 86 - 47 - f**2 - 40 - 2*f. Let j(v) = 13*v**5 - 3*v**4 - 6*v**2 - 2*v - 2. Let x(d) = j(d) - 6*q(d). What is the second derivative of x(g) wrt g?\nAnswer: 260*g**3 - 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*l**2 - 3083*l + 2621834 wrt l.\nAnswer: 26*l - 3083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4400113 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/55 and 32\/385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j - 5 = -5*q, 0 = -2*j + 4*q. Suppose -j = 3*s - 8*s. Is s smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/8)\/(194\/97)*22?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/218860 and 73\/755420.\nAnswer: 23418020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 0, -49 in decreasing order.\nAnswer: 1, 0, -15, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (10\/((-180)\/(-117)))\/(-1). Which is the nearest to 5? (a) g (b) 1 (c) 2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/2, 2\/37, 50, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30490000 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2 and 36\/71?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -28 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-180)\/(-16))*152\/(-114)*(-30)\/(-1648).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -g + 2*g. Let t = 106 - g. Suppose s + 4*o - 28 = 0, -4*o = -s + 3 + t. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/96 - 13*l**3\/48 - 7*l**2\/8 - 30*l. Factor o(u).\nAnswer: (u - 14)*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2 - 4592*d - 4594 = 0.\nAnswer: -1, 2297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79024\/30 + 11 + (-4008)\/360.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -190, -277, -360, -439?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.503? (a) -1 (b) -7.154 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*c, 5*a = -3*c - c + 20. Let f(o) = o**2 - 5*o - 32. What is the least common multiple of 16 and f(c)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*w - 21. Suppose 120 = 3*m - w*a, -m + 16 = a - 20. Let x = -29 + m. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179860100 bigger than -179860099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4, 2\/11, -0.3, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212746 + 49059. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9 + -16994119236638.\nAnswer: -16994119236639.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-2)*(-4)\/6. Let p be (4\/5)\/((8\/90)\/(-4)). Let s be 21\/(-14) - p\/40. Sort -3, q, s.\nAnswer: q, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13222 (base 5) in base 15?\nAnswer: 4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)\/t)\/((t\/t**(-2\/27))\/t)*t**(-3\/2)*t**(-1\/10))**(-31\/5) assuming t is positive.\nAnswer: t**(40579\/2700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8053 and 3940026886?\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-4 + 6)*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 3*w + 4. Let y be n(4). Suppose 5*a - 4*g - 56 = y, -5*a - g + 19 + 17 = 0. Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*w + 30. Let y(o) = -o + 6. Let x(q) = -2*q + 6. Let n(b) = w*y(b) + 5*x(b). Give n(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336*u**3 - 3*u**2 + 1?\nAnswer: -2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2475, -61, -3\/4 in descending order.\nAnswer: 2475, -3\/4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 2 - -4 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (533\/13)\/((-2)\/(-2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 - 4*n - 12. Let v be q(5). Let x = v - 66. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-21 + 15 - (39 - -12 - 5)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1141 divided by -163\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4377478ml in litres?\nAnswer: 0.0004377478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 119*v - 128*v. Solve -5*p = 3*w + 1, 4*w - 2*w + v = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 455*h**6\/6 + 514*h**3 + 243. Find the third derivative of b(k) wrt k.\nAnswer: 27300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 11\/2*f + 1 + 9*f**2 + 3\/2*f**5 - 4*f**3.\nAnswer: (f - 1)**3*(f + 2)*(3*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -96, -173, -274, -399, -548?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 55. Let h(s) = -4*s - 28. Let m(j) = -5*h(j) - 3*p(j). Let x(t) = 2*t. What is x(m(v))?\nAnswer: -2*v - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381 (base 11) to base 9.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -356777393*y**3 + 30624874?\nAnswer: -1070332179*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5622, 407\/3, 3\/7, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w*w**(-20))*w*w)))\/w)\/(w*w**30))\/((w\/(w\/w**(-1\/11)))\/w)**(-48) assuming w is positive.\nAnswer: w**(-686\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38613, 77221, 115839, 154473, 193129, 231813, 270531, 309289?\nAnswer: 348093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 4*l = -26, -2730*m + 2727*m - 3*l + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 4, i: 3}. Give prob of sequence iat.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2408 in 1\/7, 5, -14, -4, -5\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2210 divided by 170\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2\/3)\/(-1))\/(3\/(-9)). What is the units digit of 25 - ((-10)\/(-5) + r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114301.104 to the nearest one thousand.\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p**2 - 1573*p - 18. Let m(s) = -8*s**2 + 393*s + 4. Give -2*k(d) - 9*m(d).\nAnswer: 2*d**2 - 391*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/15)\/((-3)\/189). Suppose -4*m = 1 - k. Suppose -4*v - v - 85 = -3*y, 0 = -m*y - 4*v + 154. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r + 2. Calculate the least common multiple of 16 and l(2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 + 3*y + 3. What is the remainder when 21 is divided by j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/((-36)\/(-60)*9\/((-54)\/(-20))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + -2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h + 8. Suppose 0*d - 22 = 5*v - 4*d, 0 = -3*v - 4*d - 26. What is the lowest common multiple of r(v) and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 47. Calculate the remainder when 57 is divided by (54\/24)\/(k\/16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35733*-0.1\nAnswer: 3573.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21.6+234968799\nAnswer: 234968777.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)\/5 + 3. Solve 3*v = -n - 19, -t*v = -2*n + 3 + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10) + 0)\/((-29)\/2755)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 333667 = -192425. What are the prime factors of h?\nAnswer: 2, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*m + 28*m - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722 divided by 7?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/4 + 1113*x**2\/4 + 1122*x + 1125 = 0. Calculate x.\nAnswer: -2, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 41804 - 41804 - 4*s - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 4 - sqrt(5))**2 - (sqrt(20) + sqrt(5))*2.\nAnswer: 42*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 4*t - 5. Let a be (58\/4)\/((-6)\/(-12)). Let y = 52 - a. Let i be y\/5 - (-6)\/(-10). Calculate j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*m - 7714*g**4 - g**2*m + 2333*g + 3*m wrt g.\nAnswer: -24*g*m - 185136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 2802864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z**(-9\/4))\/(z**(2\/23)\/z*z))**(1\/37)*(z\/(z**(-1\/3)*z))**(1\/2)\/(z**3\/(z\/z**(-4\/11))) assuming z is positive.\nAnswer: z**(-160045\/112332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000061 to seven decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 133. Let y(u) = 103*u**2 - u. What is the remainder when y(1) is divided by r(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278180099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 188677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**3 - q - 1. Suppose -6 = -3*m + 9. Let a be (m\/(-15))\/((-2)\/(-6)). Is 5 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/(-42) + 2\/(-7). Let x(m) = m**3 + 26*m**2 + 2. Let s be x(-26). What is the second biggest value in 0.5, d, -0.3, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1345, -3, -15 in decreasing order.\nAnswer: -3, -15, -1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + -3 + (sqrt(3) + (sqrt(84)\/sqrt(7) + sqrt(12) - sqrt(12))\/sqrt(4))**2.\nAnswer: sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7538, 7529, 7518, 7505?\nAnswer: 7490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 + 202 - (189 - 74).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*n - 16*n - 8127. Let y = 319 + n. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7) + 13*1155\/1716.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/10)\/(z\/(z*(z\/z**(-1\/6))\/z*z))*(z**6)**(1\/5) assuming z is positive.\nAnswer: z**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28023177806 + -0.091.\nAnswer: 28023177805.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.89066 meters in centimeters?\nAnswer: 6189.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2090 - 1)\/(3\/(-2)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 74. Suppose 0 = j*w - 5*h + 3, -2*h = -h + 1. Is 25 a factor of 2 - 0 - (-62 - (2 + w))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 - 56*c - 4*c**2 - 7*c**3 - 2 + 8*c**2 + 2 - 1 as v*c + n + s*c**2 + j*c**3 and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (246600\/(-234))\/20 + (-1 - (-27)\/39)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = n - 92. Suppose n = 8*h + 273. Let b = h - -58. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 103 = -3*a. Let l = a - 27. Let q be -1*20*(-1)\/l. Solve 0 = -2*d - q*k + 27, 0*d - 3*d + 28 = 5*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/85925 and -1\/295582.\nAnswer: 7389550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**2 + 4. Let y(f) = -20*f**2 - f - 11. Give 8*g(p) + 3*y(p).\nAnswer: -4*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1233*q - 384. Does 39 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.468 - 201.468. Let c = x - -200.99999873. What is c rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 2*f**3 + 2 - 4*f**2 - 3*f**3 - f**2 + f**2 + (0*f + 5*f**2 + 0*f)*(-f - 3 + 3) + (11*f - 11*f + 13*f**2)*(-f + 1 - 1).\nAnswer: -19*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 - (0 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -86594 < -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 15*o - 267. Let n(z) = -3*z**2 - 37*z - 532. Determine -2*n(t) + 5*s(t).\nAnswer: t**2 - t - 271","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve a - 348 + 323 = -5*i, 2*a = -2*i + 2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 + 4.73. Which is the nearest to 0? (a) 3\/8 (b) -8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/((l\/l**(-1))\/l))\/l))*l)**(-33))**(-1\/17) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2246268, -17970277, -60649754, -143762433, -280786048?\n\"Answer: -2246289*u**3 + 14*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*u - 21 = 8, -3*y + 9 = -2*u. Let k(w) = w**3 + 4*w + 2*w - 7*w - 1 - 2 - 5*w**2. Calculate k(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00179265725 to seven dps.\nAnswer: -0.0017927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97481?\nAnswer: 43, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**2 - 7700*y + 2964500 = 0.\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 4 = 0. Let w(t) = 2*t**2 - 6*t. Let o(x) = -x**2 - x. Let d(a) = j*w(a) - 6*o(a). Let k(c) = 2*c**2. What is d(k(n))?\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 2*y - 5*y**3 + 0*y - y + 15*y**3 + 2. Let k(f) = 49*f**3 - 11*f + 11. Give 11*d(g) - 2*k(g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, a: 2, j: 7, d: 4}. Give prob of picking 1 a and 3 j.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41858, -41914, -42064, -42356, -42838, -43558?\nAnswer: -44564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= -17579435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 628, 589, 550?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -39 (c) 3 (d) 1.1 (e) -2 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*r = 26 - 19, -r - 13 = -5*a. Let l(q) = -q**3 + 6*q**2 - q + 11. Let z be l(6). Suppose -s = -z*s. Solve s = -4*o - a + 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -14*(-213)\/(-156).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -128, -284, -502?\n\"Answer: -31*n**2 - n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q - 118 - 14 = 0. Let v(d) = d - 3*d - 2 + d. Let k(y) = -y - 3. Determine q*k(h) + 3*v(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -632, 30, 0, -3.\nAnswer: -632, -3, 0, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 169497075907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 1, t: 2, b: 1}. What is prob of sequence bto?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6184\/5 + 1237. What is the smallest value in -1\/7, j, 675?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/30, -15, 9 in ascending order.\nAnswer: -15, -1\/30, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(7)*-3)**2 + sqrt(7))*-6.\nAnswer: 24*sqrt(7) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*c + 4734959 - 4732975 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3207120 and 299.\nAnswer: 41692560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -136*q + 414. Let s be o(3). Solve 12*n + 12 = 7*n - 2*w, 0 = 5*n - 4*w + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 12*o - 8 = 2*y, -o - y = 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*j - 12, -2*j + 4*g - 12 = -0*j. Suppose 4*b + 2 = -4*o - b, -b - 2 = j. Factor 7*t**2 + 3*t**2 + 3*t**4 + 7*t**o + 15*t**3 + 12*t + 7*t**2.\nAnswer: 3*t*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -2 - (-56 - -46).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8905 by 685.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.2 (c) -177 (d) -329\/4 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/36 and -83\/16980?\nAnswer: 50940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*z**3 + 1025*z**3 - 980*z**3 - 74 + 74.\nAnswer: 249*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3 (c) -0.09 (d) 2424 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-95 + 78 - -12)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5161*i + 4626*i + 601*i - 708*i + 1094*i)*(3*i**2 - 2*i**2 - 2*i**2).\nAnswer: -10774*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/7, -1.9, -1\/10, -0.4 in descending order.\nAnswer: 0.3, 2\/7, -1\/10, -0.4, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -27 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 5*l + 6. Let y be j(-3). Let b = 42 - y. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8193 by -2731.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 10\/15*-3 + 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-33)*n)\/(n**(-2)*n)*(n**(-10\/7))**37)**(14\/13) assuming n is positive.\nAnswer: n**(-222\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 31. Let j be x(29). Suppose 4*v - 392 = -z, 5*z + 3*v = j*z + 1149. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6073811g in kilograms?\nAnswer: 0.0006073811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58744 (base 12) in base 13?\nAnswer: -41c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5*(-234)\/(-819)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 + 78*h - 6. List the prime factors of p(20).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.17 (b) -477 (c) -0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012176608 to 5 decimal places.\nAnswer: 0.01218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b + 0*b + (-2*b - 2*b + 3*b)*(5 + 12 + 6).\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 + h**2 + 2*h - 2. Let k be b(1). Suppose -12 + 0 = -k*t. Let v(y) = 11 - 11 + 6 - t*y. What is v(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from ssstt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 - 10*t**3 + t**2 - 1 + t + 9*t**3 + 0*t**3 in the form p*t + z*t**3 + i*t**2 + m*t**4 + w and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 667966259.4 to the nearest one million.\nAnswer: 668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 take away 58456?\nAnswer: -58589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1066 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 74\/9*m**3 - 4*m**2 - 8\/3*m + 6 + 49\/9*m**6 + 143\/6*m**4 + 98\/5*m**5. What is r in c(r) = 0?\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*112\/140*(-3)\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8041066, 16082137, 24123210, 32164285, 40205362, 48246441, 56287522?\n\"Answer: m**2 + 8041068*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) 3\/5 (b) 4 (c) -2\/17 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + -1 - 1 - (-28)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2 + 0 + 3 + -1 + sqrt(52) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100153.\nAnswer: 100153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103 + -9?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {j: 6, x: 3, t: 3, s: 1, r: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z. Let j(k) = 2*k - 2. Let m(y) be the first derivative of -3*y - 3. Let p(v) = -6*j(v) + 4*m(v). Determine a(p(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/8)\/(1\/(-4)). Let s be ((-5)\/3)\/(v\/(-15)). Which is the closest to -1? (a) -2 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + 1\/1 + -1. Let v be -1 + (-2 - -1) + 4. Let a(r) = 14*r**2 + 2*r. Let z be a(v). What is the greatest common divisor of z and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 11*r**2 + r + 8. Let u(m) = 4*m**3 - 32*m**2 + 3*m + 23. Let h(y) = -7*q(y) + 2*u(y). Let t be h(-13). Solve -4*o + t*o = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 9*b**2 - 10*b + 11. Let d(m) = m**3. Let k(r) = 3*d(r) - z(r). Let j be k(8). Let v = 6 + j. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 5 - 11)\/((-12)\/(-8)*(-24)\/(-27)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 + 56. Let x = l + 137. Which is the third smallest value? (a) -2\/3 (b) x (c) -1 (d) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11557 = -5*g, 7*g - 6*g = -3*u + 11545. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4 + 212*f**3 - 3672*f**2 + 19440*f + 23328 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 19, -9, -245 in descending order.\nAnswer: 19, 0, -9, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -0*l. Suppose 3 + l = 2*t, -3*w = -3*t - 246. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140237517.\nAnswer: 5297, 215261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191?\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -0.5 (c) -59\/3 (d) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let r(h) = -6*h - 12. Give -2*n(y) + r(y).\nAnswer: -2*y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 8 + (-49)\/7. Solve -2*f + n = -y*n, -n - 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4045672.77 rounded to the nearest one hundred?\nAnswer: -4045700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q + 2. Let k be f(-3). Suppose 4*u - l = 150, -2*u - 2*l = k*u - 156. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125887*a**5*g - a**2*g + 19*a*g + 2*a + 3*g + 23 wrt a?\nAnswer: -2517740*a**3*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3265 = o, 2*o - w + 1516 = 8064. Is 156 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 6, l: 2, t: 1, n: 4}. What is prob of sequence nzul?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708984 divided by -774.\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(-8\/7)*i)\/i)\/i*i*i**8*i**(-2\/5)*i**(-4\/3))**41 assuming i is positive.\nAnswer: i**(30668\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = -3*q - 3, -5*q = -4*y - 26. Suppose q*i - 90 = -3*i. Calculate the remainder when 37 is divided by (-40)\/6*(-27)\/i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsyy. Give prob of sequence sjy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 191 times -51\nAnswer: -9741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 4*f - 37. Give b(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbuu when four letters picked without replacement from buusbubuubuuuu.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/5 - 784*k**4\/5 - 39594*k**3 - 13572144*k**2\/5 + 811197531*k\/5 + 8679578328 = 0 for k.\nAnswer: -267, -40, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*b + 256*b - 22869 = 0. What are the prime factors of b?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 31*w**2 + 15*w + 16. Let i be c(-15). Suppose 0 = -m + i + 42. Suppose -p + 5*p - 348 = 0. What is the highest common divisor of m and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -3324462?\nAnswer: 3324462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4410322 + 43.6.\nAnswer: -4410278.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -23*d**7\/42 + 2*d**4\/3 + d**3\/3 - d**2 + 51. What is the second derivative of w(v) wrt v?\nAnswer: -1380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-126)*12\/(-30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2 = -p + 10*k, 0 = 5*p - 2*k + 38. Which is the smallest value? (a) 3 (b) 0 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 9. Let s be x(-6). Solve 4*b - j = 15, -b + s*b - 9 = j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 8*p - 3*p - 6*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171834280 divided by -592532.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*w + 508*w + 3 - w**2 - 253*w in the form t + z*w**2 + r*w and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 17*z**2 + 5*z + 12. Calculate y(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 - ((-28)\/(-35) - 3336\/(-280)). Factor 8\/7*n**3 + 0*n - c*n**4 + 0*n**2 + 0.\nAnswer: -2*n**3*(n - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56169 and 2.\nAnswer: -56167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 4, l: 2}. What is prob of picking 2 l and 2 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/3 - 7*w**3\/3 + 2*w**2\/3 + 4*w - 8\/3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8342919791.\nAnswer: 107, 163, 478351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1051*w - 6. Let y be t(-6). Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*r - 4*h, 8*r + 5*h = 3*r - 5. Let z(m) = m**2 + m - 2. Let a(i) = i**2 - 2. Let p(j) = r*a(j) - 3*z(j). Calculate p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**8\/168 + k**7\/35 + k**6\/60 - k**5\/10 - k**4\/6 + 18*k**2 + k - 56. Let n(h) be the second derivative of g(h). Factor n(c).\nAnswer: 2*c*(c - 1)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:06 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + m = -10, 13 = 5*l - 0*l - m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17440 + 17168 = -16*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 6*z**2 - 9*z + 2. Let i be y(-3). Solve 7 + i = -9*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h + 10. Let u be z(9). Let n = -73 + u. Calculate the remainder when 77 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -1335414142?\nAnswer: 1335414141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*y**4 - 73779*y + 270576?\nAnswer: 8*y**3 - 73779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1068 - -1072. Put 73, 3, x, 0, -1 in descending order.\nAnswer: 73, x, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20189\/30 + -1347\/2. Let j = 811 - 810.9. Sort -0.4, j, a in increasing order.\nAnswer: a, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 10 - 8 - r**3 - 2*r**2 + 0*r**2 - 16 + 28. What is y(-5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*r - r - 10, 0 = 2*o + 4*r - 20. Suppose 3*n - 2*n - 30 = o. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + t + t + 0. Let m(c) = -33*c**2 + 55*c**2 - 40*c**2 - 4*c**2. Determine d(m(h)).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q + 1. Let k(d) be the first derivative of 13*d**2\/2 - 77*d - 125. Let y be k(6). Calculate v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704127360 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*k + 5*a, 0 = -3*k + 2*a + 2*a - 8. Suppose -17*t + 9*t + 136 = k. What is the remainder when 100 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -514024975 - -8229553905\/16. Let y = l + -322354. Let g = y + 210. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*u - 211 - 373. What is the closest to -3 in u, 0.07, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-16)*u)\/u)\/(u\/(u**(-42)\/u)*u)*(u**(28\/3))**(1\/10))**(5\/3) assuming u is positive.\nAnswer: u**(-901\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*x + 0 + 5)*(8*x - 3*x - 3*x).\nAnswer: 8*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**2*y**2*z + 3*q**2*z**2 + 91*q**2*z - 9689*q*y**2*z**2 - 64*q*y**2 wrt z?\nAnswer: 6*q**2 - 19378*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -47. Let l(s) be the second derivative of 1\/6*s**3 - h*s - 1\/12*s**4 + 0 + 5*s**2. Determine l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 16*t**2 + 4*t + 74. Suppose i - u - 40 = -i, 2*u = 3*i - 60. What is the remainder when p(16) is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 90 = 4*u. Let o = 916 - 856. Calculate the highest common divisor of o and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6, b: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213583531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293 - 4219 = -8*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44196, 87921, 131642, 175359, 219072, 262781, 306486?\nAnswer: 350187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3623110 (base 7) to base 11\nAnswer: 2943a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 8871447.\nAnswer: 35485788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 896.97 plus 780.93274?\nAnswer: 1677.90274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000233014 (base 5) to base 12.\nAnswer: -138959b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 165*q - 20. Let b = 505 + -504. What are the prime factors of f(b)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100\/381 + -3417\/10922. What is the common denominator of o and 29\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:59 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/(-304) + 14\/48. Let u(k) be the first derivative of -k**6 - q*k**3 + 2*k**5 - 4 + 0*k**2 - 1\/2*k**4 + 0*k. Factor u(x).\nAnswer: -2*x**2*(x - 1)**2*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}