diff --git "a/data/dm_maths/full_data_2/1941_11255.jsonl" "b/data/dm_maths/full_data_2/1941_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1941_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -1a (base 13) to base 10\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 5:40 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181211514.\nAnswer: 2, 3, 11, 131, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6195 + 25223\/4. Let l = h - 111. Which is greater: l or 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 212\/11 (c) -73.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.775298 months in decades?\nAnswer: 0.13979415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5 + 10*q**4 - 52*q**3 - 196*q**2 - 206*q - 70 = 0. What is q?\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 685 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 + 3473 = -115*a + 36*a for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -29, -2, 3, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 7. What is the smallest common multiple of w and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b. Let k(w) = 7*w + 5. Let y be 9*(-9)\/54*16\/6. Let z(c) = -7*c - 4. Let r(q) = y*k(q) - 5*z(q). Calculate n(r(p)).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7*q = 16. Let i be (q - (-56)\/20)\/((-8)\/(-20)). Let u(o) = o**2 + 5*o - 10. Let f be u(i). Solve 2*b - 12 = 2*n, -f*n + 5 = -b + 26 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/175*4325\/(-519)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93 - 28082?\nAnswer: -27a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16430395.\nAnswer: 5, 23, 142873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 265*c**5 - c**4 - 357*c.\nAnswer: 5300*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1083.5?\nAnswer: -1081.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2433993 and 9?\nAnswer: 7301979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6 - -1)*-21. Let z be 788\/56 + 10\/(-140). What is the greatest common divisor of h and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 140, 229, 386, 635, 1000?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8134?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/3 + 1256*w**2\/3 + 368230*w\/3 + 7564700 = 0.\nAnswer: -115, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12394 + 2292883\/185. Let l = x - -14081\/555. Calculate the common denominator of l and 2\/(-6) - 327\/72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2029*m = 2134*m + 1050 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346 and 126809?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 2*w**2 + 4*w - 1. Let g(r) = r**3 - 7*r**2 - 21*r + 102. Let s be g(8). Let m(z) = -2*z**3 + 3*z**2 - 4*z + 2. What is s*m(a) - 3*l(a)?\nAnswer: -2*a**3 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*i**4 - 13939*f**2*i**2 - 88990*f*i**5 + 3*f*i**2 wrt i.\nAnswer: 72*f**2*i - 5339400*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, 16 in increasing order.\nAnswer: -1, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 11\/2, -191\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/811748 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/((-600)\/16)*(9 - 0)\/(-3). Put 14, d, -1, -3 in ascending order.\nAnswer: -3, d, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 10*b - 5. Let r = 26 - -112. Let p = r + -145. Determine t(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-3))\/1*(-3837)\/2558?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))**(-4\/13)*((t*t\/(t*t**(-2\/7)\/t*t))\/t)\/t**(1\/10))**19 assuming t is positive.\nAnswer: t**(-11647\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113 + 7?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 3}. Give prob of picking 2 j and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -13. Let t(a) = a**3 + 5*a**2 - 5*a + 6. Calculate t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*w - 2*w + 32 = 0, 0 = 5*h - w - 80. Solve 4*r - 5*r = -3*v - 4, -4*r = -5*v - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 83*w**2 - 426*w - 15. Calculate g(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + 363\/(-66).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4))\/(15\/210)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*o**3 + 36779*o - 36779*o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 235541 (base 9) to base 10\nAnswer: 141868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/7 and -366 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44853666719\/578 - -77601519. Let x = m - -4\/289. Find the common denominator of (2 - 2) + (-22)\/24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 5*a**2 + 4*a + 4. Let r be z(-4). Suppose b + 0*b = 3*u + 7, 2*b - r = -5*u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-1 + 2 + 0). Let j = 5 - 8. Let i be (2\/j)\/(10\/(-15)). What is the highest common divisor of i and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 831637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) - (-255)\/12. Let i = 13 - p. Is 1*(-1)\/1 - i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298021 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -830 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26251536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119289524.\nAnswer: 2, 19, 1569599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 19*q + 5. Let z(g) = 18*g**2 + 48*g + 12. Let p(l) = -12*j(l) + 5*z(l). What is the second derivative of p(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 448642270 and -7854.\nAnswer: 448634416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -905, -1808, -2713, -3620, -4529, -5440, -6353?\n\"Answer: -i**2 - 900*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p - 27*p - 28*p to the form l*p + x and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1349548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 477238*g**4 + 3*g**3*v**2 - 24*g*v - 109560*v**2 wrt g.\nAnswer: 5726856*g**2 + 18*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:46 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1436\/3 + -479. Which is the nearest to -2? (a) q (b) 3\/4 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(1872) + -3*(sqrt(1872) + 0) - (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 1*sqrt(1872) - sqrt(1872)))**2*2)*-6.\nAnswer: 1 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03758273945 rounded to six decimal places?\nAnswer: 0.037583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wqqwwqqwqwqqqqqqqww?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17*y**2 - y + 2. Let k(n) = 101*n**2 - 120*n - 137. Let l(i) = 6*b(i) + k(i). Let l(v) = 0. Calculate v.\nAnswer: -125, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1300*j*v*w**2*x**3 + 381*j*w**2*x**3 - j*w**2*x**2 - j*w*x**3 - 4*j*x - 11*v*w**2 with respect to v.\nAnswer: 1300*j*w**2*x**3 - 11*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 18*u**2 - 14. Let r(n) = 4*n**2 - 2. What is r(g(h))?\nAnswer: 1296*h**4 - 2016*h**2 + 782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 6*p - 8 - p - p**2 in the form x + r*p + c*p**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 6, 1, 4 in descending order.\nAnswer: 6, 4, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:02 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 - (46 + (8 - 62))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-8)\/(-12) + 8\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 73. Let x(i) = 3*i**2 - 4*i + 2. Let n be x(2). Let b(m) = n + 2*m**2 + 5 + d + 12*m - m**2. Determine b(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-3 - 3) + 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140\/2*((-4)\/(-10) - 0) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/3)\/2*(0 - 3). Is 10 a factor of (s + -11)\/(3\/(-105)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 18.86?\nAnswer: -16.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1060 - -52216?\nAnswer: 51146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*o - 32*o + 24*o + 249*o - 20942 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -34, -12, 30, 98, 198, 336?\n\"Answer: z**3 + z**2 - 2*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 1.1. Let d = -9 - -15. Let n = -6 + d. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 0 - 2\/7*o**3 + o**2 - 3\/7*o = 0.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104413*287\nAnswer: 29966531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -340 + 350201?\nAnswer: 345421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234854285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68083, -1\/3, 0.1?\nAnswer: 68083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 5 - (-2 + sqrt(98)).\nAnswer: -4*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 2*s**3 - 1 + 3*s + 5*s**4 - 4*s**4 in the form i + w*s + u*s**3 + q*s**2 + x*s**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239 - 241. What is the smallest value in -10, 1\/6, -5, g?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5117952 - -0.11082?\nAnswer: -5117951.88918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 6*r. Suppose -7*w + 352 = -r*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 58*m - 192. Let d(q) = -117*q + 353. Calculate 6*d(i) + 11*x(i).\nAnswer: -64*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + 40*q**2 - q)*(q + 10*q - 2*q)*(2*q - 3*q + 3*q).\nAnswer: 720*q**4 - 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*o = -265*o + 24*o + 17388 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -23) + (32 - -41 - 28)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = 0, -6*u + u - 5*k - 5 = 0. Is 42\/126*((-126963)\/u + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = -27*x + 756 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:16 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 7*u - 4*f = 20, -2*f = 4*u + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 9*w**2 - 9*w + 8. Let m be n(8). Sort 11, 2, 1, m.\nAnswer: m, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -219. Suppose 7*p = -305 - 52. Let x = p + t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14903*a**2 - 44716*a - 18. Give q(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63028, -122575, -182122, -241669, -301216, -360763?\n\"Answer: -59547*l - 3481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7553207827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqf when three letters picked without replacement from qnmmfmmfffn.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 1 - 3. Suppose -z*x - 4*o = -18, 2*x = 5*x + o - 12. Suppose -x*p + 2*j + 17 = 3*j, -p + 3 = 3*j. Solve n - p = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*i + 22 = 6*i, -4*i = 3*z - 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-445)\/(-4) + -6 + (-1)\/4. Is x < 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -513 + 590. What is the remainder when 236 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.559588 weeks in microseconds?\nAnswer: 5781638822400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10022937 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 3.9. What is the second smallest value in -1\/3, t, -0.9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 9, r: 2, k: 1, g: 1}. Give prob of picking 1 k and 1 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -188*q + 34587. What is c(184)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.954 - 30894.47.\nAnswer: -30893.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12\/(b*b\/b**(3\/16)*b))\/(b*b**(-12))**42 assuming b is positive.\nAnswer: b**(7539\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54 (b) 0.5 (c) -27\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.3 (c) 0.2 (d) 126622281\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 21*p + 144 = -18*p + 4*p, 10*h - 72 = -p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(24\/(-40))\/(28\/(-20))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -5*t + 75, 250*t - 105*t + 3*g - 2*g = 148*t - 7*g + 22 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2 (base 15) in base 16?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 3. Let p be h(4). Suppose -88 = 3*g - p. Let s = -27 - g. Solve 5 + 7 = -5*o + c, -2*o = s*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 892906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, -16\/3, 2, 4, 2\/9 in descending order.\nAnswer: 4, 2, 2\/9, -16\/3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5.6. Let c = l + -0.4. Let q(w) = -w**2 + 9*w + 36. Let v be q(12). Sort -5, c, v.\nAnswer: -5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 + (-57)\/(-12). Suppose -2*t + 1366 = q*a - 7*t, 2*t = -2*a + 674. Suppose 4*z - 3*f - a = 0, 0 - 84 = -z + f. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/3 + 5. Let o = 1.5 + -6.5. Which is the closest to n? (a) -2 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.4\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -69 + 80*g + 100 + 45*g**2 - 316*g**3 - 88 - 243 + 311*g**3 = 0.\nAnswer: -3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1\/3, 4, 0.07, 1\/14.\nAnswer: 0.07, 1\/14, 2\/21, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12899 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42369 at most as big as 42366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130.5 - 75561885512.\nAnswer: -75561885642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -y - 15*r - 15, -2*y + 5*r = -25. Solve -6*o - 5*o + 11 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 2, -0.5, -0.079, -0.0485, 0.5?\nAnswer: -0.0485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16700240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17183\/16 + -17147\/16. Factor -3\/4*x**5 - 3*x**2 - 3*x + 3\/2*x**4 + q*x**3 + 0.\nAnswer: -3*x*(x - 2)**2*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238589, 953655, 2145433, 3813923, 5959125?\n\"Answer: 238356*i**2 - 2*i + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9072598, 9072585, 9072570, 9072553, 9072534?\n\"Answer: -z**2 - 10*z + 9072609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from {e: 2, z: 2, u: 1, n: 1, b: 2, m: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 13 + 8)*(2*y + 2 - 2)*(-4 + 2 + 1 + 1 - 1 - 1 + 2 - 4 + 4 + (1 - 3 + 1)*(-2 + 0 + 0) + 0 + 1 - 2 + 0 - 1 - 1).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 59?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 936135255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 91, 244, 467, 766?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 2*s**2 - 2*s + 1. Let j be w(2). Let o be 312\/15 - (-1)\/j. Let h be (-4)\/22 - o\/66. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 2*m + 8. Suppose 0 = -3*x - x - 24. Let q be l(x). Let o = -11 - q. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:42 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 80 = 10*s. Let u be 24\/176*s\/(-6). Let b(h) = h**2 + 12*h + 33. Let c be b(-5). Sort u, 4, 0.6, c in descending order.\nAnswer: 4, 0.6, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(96\/(-64))\/(24\/(-2))*108\/306.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 4. Suppose 4*n - t*h + 476 = 0, -2*n - 476 = 2*n - 2*h. Let f = -83 - n. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17498 is divided by 86?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23463594 and 3572646.\nAnswer: 868152978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 + 63*c - 145. What is the remainder when v(3) is divided by 61?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -81, -102, -107, -90?\n\"Answer: a**3 - a**2 - 35*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:16 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 1 + 14 + (-24 - -51 - 32)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.616 plus 0.049346569?\nAnswer: -11.566653431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(1*sqrt(11)) + sqrt(10) + (sqrt(490)*-2 - sqrt(10)))\/((sqrt(54) + sqrt(108)\/sqrt(2))\/(2*sqrt(12))).\nAnswer: -26*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/106 and -99\/2650?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 141*x**2.\nAnswer: 141*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*((-3*p**2 - 2 + 2)*(1 - 2*p - 1) + 11*p**3 + 8*p**3 - 5*p**3).\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 33. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (974*u**2 + 989*u**2 - 1878*u**2)*(2 - 4 + 1 + (-1 + 2 + 1)*(1 - 3 + 4)).\nAnswer: 255*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:05 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 106*h - 190. Let g be r(3). What is the second smallest value in -1\/2, g, 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Is 16 a factor of -1 + 17 + (4 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - k)*(4 + 0 + 3).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00618 to 4 dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1106*s**3 + 234 + 944*s**3 - 54 - 180.\nAnswer: 2050*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 14871730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627151719 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 2*a - 169*a**2 - 4*a**3 + 2*a**3 + a**3 - 232*a**2 + 37 in the form x*a + k*a**2 + j*a**3 + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 23 - 203. Suppose 44*b + 149 = u*b. Is b a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-2\/23)\/(v**7\/v*v\/((v**(-7)\/v)\/v)))**3 assuming v is positive.\nAnswer: v**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3)**44)**(15\/11)\/(((s*s**2)\/s)**43)**(-23) assuming s is positive.\nAnswer: s**2218","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 + 98*q - 103. Let o be u(-15). Let i(s) be the third derivative of 0 + 0*s - 1\/4*s**4 + 0*s**3 + 2*s**o. Let r(g) = 4*g**2. What is i(r(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15881*m - 492425. Calculate i(31).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 3*m**2 + 2 - 3*m**3 - 2*m - 2*m**3 + m**3. Calculate the least common multiple of p(-2) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/10)\/((-22)\/10). Let j = -17 - -14. What is the closest to r in -0.4, 2\/11, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y**2 + 190*y + 78. Let j(a) = 550*a**2 - 4180*a - 1715. Let i(w) = 2*j(w) + 45*p(w). Factor i(x).\nAnswer: -5*(x - 8)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**8\/168 - b**7\/35 + b**6\/30 + b**5\/15 - b**4\/4 + b**3\/3 - 135*b**2. Factor z(d).\nAnswer: 2*(d - 1)**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225043 (base 6) to base 10.\nAnswer: -19251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22\/73 + -256\/365. Which is the closest to q? (a) 99 (b) -1 (c) 0.02 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 2*o + 1. Let p be u(1). Let w(d) = 6*d**2 - 14*d + 24. Let r be w(11). Suppose 3*x + x - r = p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387489035 to the power of 1\/4, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/72 - 119\/1260. Let v(t) be the third derivative of -1\/15*t**4 - 3*t**2 + 0*t + 0 - o*t**6 + 0*t**3 - 1\/525*t**7 - 4\/75*t**5. Factor v(a).\nAnswer: -2*a*(a + 1)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:35 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28687 rounded to the nearest 100?\nAnswer: -28700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.2. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2207*t + 1. Let x(n) = -18*n**2. Give x(s(y)).\nAnswer: -87675282*y**2 + 79452*y - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/120 - o**5\/60 - 5*o**4\/12 - 1907*o**3\/2 - 15*o**2 + 31*o + 3. Differentiate v(n) wrt n.\nAnswer: 3*n**2 - 2*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*i - 1542*i = -17176 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmd when three letters picked without replacement from dmdmdmzzzdz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11364 - 11359. Let m be (2\/6)\/(2\/18). Solve a*k = k + f - 2, -8 = 2*k + m*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 673 divided by -6\nAnswer: -673\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - 2*sqrt(19)) + -2.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, -3*j + 0*c - 103 = -2*c. Let m = -37 - j. Let h be ((-2)\/2 - 2) + m + 9. Solve l - 3*l = h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212791723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:18 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413954 is divided by 526?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5923363.\nAnswer: 47, 193, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 18. Let o be b(0). Suppose -2*r - o = -5*r. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1118 = -6*d - 1942. Let z = d + 584. What is the greatest common divisor of 333 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1794300310728 and -113?\nAnswer: 1794300310841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (63\/2)\/7*4. Let w be ((-3)\/9)\/((-2)\/h). Solve 6 = w*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1789388\nAnswer: 3\/1789388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*s - 3*f + 2, -3*f = -3*s + 3. Let w = 26 + -24. Suppose -w*u - 6 = 3*n - 14, -4*u = -2*n. Solve -s - n = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n. Suppose 0 = 4*g - 2*l - 42, -2*g + 449*l = 451*l - 6. Suppose 3*z + z - g = n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 2*c - 3. Let g(m) be the first derivative of 14*m**3\/3 + 3*m**2 - 8*m - 1. Let w(p) = 3*g(p) - 8*j(p). Factor w(a).\nAnswer: 2*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/553 and 33\/4.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose 5*k - 17 = v. Suppose 0 = k*y - 20, 1 = -5*d + y + 11. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 531*f*t**3 - 33*f*t**2 - 3*f + t**6 + 977*t**4 - 27*t**2 + 4*t wrt t.\nAnswer: 3186*f + 120*t**3 + 23448*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 0.5, -162, -3\/7, -2\/9 in ascending order.\nAnswer: -162, -3\/7, -2\/9, 0.5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*-2*sqrt(114)*5)\/(sqrt(486) + sqrt(486) + -2*sqrt(486) - sqrt(12)\/(-3*sqrt(2))).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 42*x - 26. Let y be l(-17). Let q be y\/9 + 14\/21. Is 0.1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 26 + 26 + (o + 0*o + 0*o)*(2 + 4 - 5) + 2*o + 0*o - 4*o - 2*o - 2*o + 6*o)*(-3*o**2 - o**3 + 3*o**2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.647 times -604.6\nAnswer: 995.7762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 462312.379 to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2843 + 56019 = 1156*m for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/2*1\/(-1). Let z be 1\/w + (-31)\/(-6). Solve 4*i - 8 - 6 = -z*v, 5*i = -4*v + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {w: 1, x: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -21. Suppose 5*d - 17 - x = 0. Let a be (-3)\/12 + 25\/4. Solve a*g - d = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266 + -261. Suppose -4*n - 4*b = -580, r*b + 175 = n + 36. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95381, 190763, 286145, 381527, 476909, 572291?\nAnswer: 667673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + d = 6*d + 7, q + 2 = -d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -46, -102, -180?\n\"Answer: -11*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dd0 (base 14) in base 8?\nAnswer: -20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16084*p**2 - 68750*p wrt p.\nAnswer: -32168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-8)*8\/426*(-96)\/(-72)\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26825, -26743, -26661?\n\"Answer: 82*h - 26907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5*x**6\/6 - 4*x**3\/3 + 4. What is the third derivative of z(q) wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 1. Solve 6*j = -4*b + j + 9, -q = -2*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-923))\/((-936)\/91178). Let c = 2\/11999 + f. Find the common denominator of c and -57\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 494*g + 1980. Let s be x(-4). Solve -8 = -12*d + 13*d - s*n, d + 9 = 5*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450 (base 11) to base 15.\nAnswer: -25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 8. Let p be o(-6). Let s = -9 + 16. Let d = 47 - s. Solve d = -4*q - 5*j, -3*j - 2 = 2*q - p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 466, 468, 470, 472, 474, 476?\n\"Answer: 2*n + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/9062983 or 9\/4?\nAnswer: -6\/9062983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/9 + ((-36)\/(-3))\/3)*(-21 + -24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5813807.\nAnswer: 5813807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15999\/21 + (-10)\/35. Let m = 64427\/84 - j. Find the common denominator of -9\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccioociici. What is prob of picking 3 c and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 2338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904907*r + 905148*r - 1810148*r.\nAnswer: -93*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-12)\/(-42) - (-9)\/(-7)). Let y be 16\/(-7) + 2\/7. Sort -5, y, 2, m in descending order.\nAnswer: m, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*m - 278*m + 59*m + 104*m - 8 + 110*m in the form z*m + b and give z.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 2) + (-16 + 10 - (114 + 4 + 3))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -245, -245, -15, 559, 1591?\n\"Answer: 19*k**3 + k**2 - 136*k - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4 - 306*c**3\/7 + 88*c**2\/7 = 0 for c.\nAnswer: -44, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 220 = 4*h. Let u be h\/(-36) + 2\/(-9). Sort 1\/4, -1\/5, u in decreasing order.\nAnswer: u, 1\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 1. Let h = -26 - -19. Let c(k) = 3*k**3 + 11*k**2 + 10. Let l(o) = -o**3 - 5*o**2 - 5. Let n(t) = h*l(t) - 3*c(t). Give -5*f(w) + n(w).\nAnswer: 3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s, -3*x = 5*s - 12 - 39. Let c(k) = k**3 - 18*k**2 + 20*k + 46. What are the prime factors of c(x)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 412174.14702.\nAnswer: 412174.64702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1357\/6250?\nAnswer: 1357\/6250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1\/55)*p*p)\/(p*p**(-2\/17)))\/((p*p**(5\/6)\/p)\/((p\/p**(1\/4))\/p)) assuming p is positive.\nAnswer: p**(22621\/11220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a*a)**(-40)\/(a*a**7*a**(-3\/4)\/a))\/(a\/(a\/a**(-13))*a*a**(-3\/4))**(2\/57) assuming a is positive.\nAnswer: a**(-22603\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, 3, -0.5025?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c + 9. Let z be x(-5). Suppose -3*n + z + 5 = 0. Let i = -15 + 24. Solve 2 - 6 = -2*g - 2*h, n*h = i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 14) + -12 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 7*d**2 + 6*d - 8. Let f be a(-6). Let p = -6 - f. List the prime factors of 35 + (1 - 0 - p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 8:53 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/2))\/u**(7\/6)*(u**(-2\/13))**(-6) assuming u is positive.\nAnswer: u**(49\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 31510?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g**3 + 2*g**2 + 6*g + 3. Let c(t) = -6*t**3 + t**2 + 2*t + 1. Determine 8*c(n) - 3*k(n).\nAnswer: 3*n**3 + 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 + 5 = 0. Calculate the greatest common factor of y and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 76 - -4?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 q when four letters picked without replacement from vvvvxvxxvxvqq.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1 (c) 0.008 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/8)\/j)\/j**(-5))**28\/((j**(1\/2)*j)**(-28))**(-3) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201000000 (base 3) to base 11.\nAnswer: a452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 4, r: 3, x: 1}. Give prob of picking 1 m and 1 x.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745183.\nAnswer: 353, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 138776 - 8209 = 3*o, 2*o + 2*r + 98006 = 0. Round o to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28014 (base 14) to base 4.\nAnswer: 120013302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 842*m**2 - 842*m**2 - 1406*m**3 + 0*m**2 + 0*m**2 - 2*m**3 + (-2*m - m + m)*(0*m**2 + m**2 + 0*m**2) + m**3 - 3*m**3 + 3*m**3.\nAnswer: -1409*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*m**(-2\/7)*(m\/(m**0*m))**(-44) assuming m is positive.\nAnswer: m**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 330 = -5*r + 5*b, 2*r + 3*b = 107. Which is greater: r or 60?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4804651 months in centuries?\nAnswer: 0.00206705425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1499 divide 560437126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (1826\/249)\/(2\/666)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + sqrt(700) + 1*sqrt(700) + -6*(sqrt(700) + 1 - sqrt(700)))*5)**2.\nAnswer: -9000*sqrt(7) + 72027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*z + 19. Let m be 460\/28 - 3\/z. What is the greatest common divisor of m and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -948 - -1150. Let p = 131.4 - z. Round p to the nearest integer.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1661380*w**2 + 1328486*w.\nAnswer: 3322760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195411 and 2644806?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2812958.97 to the nearest one hundred.\nAnswer: -2813000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42116 + -1?\nAnswer: -42117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-102) - (-1041)\/(-5899).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1620\/7 + -232. What is the second biggest value in -9, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-80)\/55 + 2)\/(30\/220). Let h(a) = a**3 - 8*a**2 + 13*a - 3. Give h(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.1793, 59?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 19*b + 67. Let p = -13 + -5. Let x = p + 20. Calculate the least common multiple of x and c(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230124 divided by 57531\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1821 = -259*p - 1287 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -4882429372?\nAnswer: -4882429377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*m = 133*m - 1695. What is the remainder when m is divided by 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62314 is divided by 264.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2581 or -66714?\nAnswer: -66714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**3 - 54*w**2 + 120*w - 14. Determine x(2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 75285, 0, -4 in ascending order.\nAnswer: -4, -1, 0, 75285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1*(-1)\/(-3)). Suppose 0 = -25*o - 9735 + 9610. Sort -6, v, o in decreasing order.\nAnswer: v, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-66 + 27 - 33)*(3*s - s - s)*(1 + 4 - 4).\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/9 (b) -1 (c) -0.4 (d) -3\/1403 (e) -4 (f) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1430 + 390. What is the greatest common factor of 52 and k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61631460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 198345226 a multiple of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33534193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14*s**3 - 8*s**2 + 5*s + 4. Does 46 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) -37 (c) 2 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522127421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 13 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -59, -60, -73, -104, -159?\n\"Answer: -c**3 + 3*c**2 + 3*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -346, -507, -678, -865, -1074, -1311, -1582?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 3*m**2 + 2*m**2)*(192 - 537 - 134).\nAnswer: -2874*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 10. Let l(y) = 2*y + 27. Let w(i) = -3*l(i) + 5*s(i). What is w(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((3 - 6)\/(-1))\/(3\/(-3)). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvrvvrrvvrr?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*p - 47 + 43 = 0, -12*n = p + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 194464075.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9. Let k(g) = -2*g**3 - 2*g**2 - g - 10. Let q be k(5). Let l = q - -309. Sort b, 4, -3, l in ascending order.\nAnswer: l, -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = v + 7, -3*v = v - 3*r - 17. Suppose 0 = -v*o + 13*o - 70. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 110. Solve -3*q - 6 = -u*j, 5*j - 12 = 2*q + q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*c + 15*c**4 + 9*c**4 - 7*c**4 wrt c?\nAnswer: 204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 25, 165\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 15 - 77 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 4 - 4)*(2*n - 2*n + 4*n**3) - 12*n**4 - 17*n**4 + 59*n**4 as q*n**4 + o*n**2 + y + v*n + i*n**3 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -225667, -451331, -676995?\n\"Answer: -225664*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285455 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, t: 6}. What is prob of picking 2 s?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39 and -976059751.\nAnswer: -976059790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304112249 and 2758?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 108 = -2*n. Let x = 115 - n. Suppose 2*a + 3*c - 46 = 0, -4*a + 173 = -4*c + x. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1363, -5457, -12263, -21757, -33915, -48713?\nAnswer: -66127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -824*s - 9856. What is the tens digit of g(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 644 and 643034.\nAnswer: 1286068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 347550146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-1 + sqrt(17)) + -1).\nAnswer: -24 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4535*l = -5*z + 4539*l + 121, 0 = 3*z + 3*l + 57 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let q(x) = -x**2 - 2*x + 2. Let o(g) = -5*g**2 - 9*g + 9. Let s be 10 - (-1 + 0)*-1. Let y(v) = s*q(v) - 2*o(v). Determine c(y(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 16*r**4 - r**3 + 17*r**4 + 7 - 2*r**2 - r + 2*r**3 as p*r + j*r**3 + x + u*r**2 + t*r**4 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (-2 + 5)\/((-33)\/(-4070))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 472.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 3. Let d(i) = 3*i**3 - i + 1. Let l be d(1). Let v be f(l). Solve v = -3*k - 10 - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17cb - 1?\nAnswer: 17ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-28) + 39\/14?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(70) - sqrt(70)) + sqrt(70))*-5)\/(sqrt(10) - sqrt(60)\/(2*sqrt(6)))*-4.\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 981, 993, 1019, 1065, 1137, 1241, 1383, 1569?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201799060?\nAnswer: 2, 5, 10089953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 426248 - 194209. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 29 = -4*d, 36*p - 15 = 5*d + 38*p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -2. Suppose -3*x - u + 25 = 0. Find the second derivative of -6*f**2 - 3*f + x*f**2 + 6*f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 703*w**4 - 8*w**2 - 30*w wrt w?\nAnswer: 16872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*f + 222*f + 45150 for f.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12*n = -15*n - 257, 0 = o + 3*n - 55. Calculate the highest common divisor of o and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) 0.2 (c) -2 (d) -0.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4 + 2*f - 5*f + 5 + 2. What are the prime factors of k(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -63*s + 1. Let f be x(2). Let z = -67 - f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 5*c, -2*c + 1 - 6 + 3 = 8 - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-11) + ((-26)\/(-22) - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -22*n + 1838. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2524236 = 5*j + 3*b + 2524197, 3*b = -6*j + 45 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -939*j + 735*j + 146880. What is the highest common divisor of j and 1350?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**5\/5 + j**4\/3 - 2*j - 10. Let v(y) be the first derivative of g(y). Factor v(l).\nAnswer: 4*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -1.2. Let g = 0.7 + m. Let y = 217\/1035 + -2\/207. Sort g, y, -4.\nAnswer: -4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 33 = 103. Suppose 2*m = i*m - 5*z - 800, -m = z - 407. Is m a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 6) to base 14\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 73.95193 micrometers?\nAnswer: 0.00000007395193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -2, -6\/295, -9\/10, -52?\nAnswer: -6\/295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.9 - -7. Let y = -7 - j. Let s = 260 + -258. Which is the second biggest value? (a) 0 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 166, 278, 390?\n\"Answer: 112*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 97\/9. Let v = -7.1 - 9.3. Let q = v - -16. Put 1, q, -1\/8, j in ascending order.\nAnswer: q, -1\/8, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3003372 and 29538.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 3*g**4 + 7 - 18 + 6 wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19c4ab + -27?\nAnswer: -19c505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-126)\/4)\/(-7))\/((-651)\/124)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53542.4 millennia in months?\nAnswer: 642508800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1630439934 + 0.08531\nAnswer: -1630439933.91469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 217?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29558 - 29561.9243. Let f = -0.0757 + l. Suppose 5*h - 5*o = -35, -2*h + 5*h - 5*o = -23. Which is bigger: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-45))\/(-3 - 5\/(-3)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144590, 289177, 433764, 578351, 722938, 867525?\nAnswer: 1012112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10\/(v**(-2)\/v))\/((v**(5\/6)\/v*v)\/(v**3\/v*v)) assuming v is positive.\nAnswer: v**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002975388591 rounded to five decimal places?\nAnswer: -0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*u - u = 120, 3*t - 4*u = 280. Let r = -96 + t. Let s = -1 + 3. Solve 14 = 2*w - r*z, w + 3 = -2*z - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -3\/5*g**5 - 1\/6*g**6 + g - 1\/2*g**4 - 3 + 2\/3*g**3 + 3\/2*g**2. Let v(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5647 (b) -0.11 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17578 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, 17, -4, -3, 7, 5 in increasing order.\nAnswer: -5, -4, -3, 5, 7, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8)\/(-10) + 19\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*h + 1512, -h = 2*n + 35 - 791. Suppose 78 + n = 4*x + 5*s, -2*x + 2*s + 210 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2565 divided by -855\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -18, 4, 118 in increasing order.\nAnswer: -18, -5, -4, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 3*o**3 + 3*o**2 - 3*o**2 - 7*o + 0*o**3 - 1 to m*o**4 + g*o + x*o**3 + f*o**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Let q = -1880 + 1882. Let g be (3 - r)*((-27)\/q - -2). Calculate the highest common factor of g and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 352\/55*(-5)\/(-2). Suppose 0*w + 4*w = -a. Put -2\/5, -5, w in increasing order.\nAnswer: -5, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537145.4ng in micrograms?\nAnswer: 537.1454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988949709 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, h: 1, w: 3, u: 6, t: 1}. What is prob of picking 2 u?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12012 (base 5) to base 6.\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 7. Suppose -5*d + 28 = -45*z + 41*z, 3*d = 3*z + 18. Calculate k(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w - 3*w + (0*w + 0*w + w)*(-2 - 1 + 5) + 4*w - 3*w + w)*(1 - 1 - 1).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*n - 7 = 0, 0*u = 2*u + 4*n - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 377018452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(2 - 1 - 2)*(0*c**2 + 3*c**2 - 4*c**2) + (-3*c + 5*c - 3*c)*(-3*c + 5*c - c) as m + f*c + b*c**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:00 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 13*q**2 - 44*q - 20. Let l be b(-7). Let p(n) = -n**3 + 4*n - 8*n**2 - 14*n - 5 - 2 - 1. Determine p(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*k + 10 = -11, -5*k + 27 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10845*k - 1778604. Give s(164).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*f + 4838*f**2 + 2376*f**2 - 205189 + 205220 wrt f?\nAnswer: 14428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let w(s) be the second derivative of 13*s**3\/6 + 5*s. Calculate c(w(k)).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -399726, -399748, -399784, -399834?\n\"Answer: -7*c**2 - c - 399718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, p: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 478 - 286. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-117))\/((-115)\/(-45))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 30*j - 3. Let v be w(1). Suppose -4*i + c - 11 = -i, 0 = i - 5*c + v. Does 8 divide (1\/i)\/((6\/68)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/102 and 13\/510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178922 and 446652.\nAnswer: 61191324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-2)\/(-3)*1). Let z = 0 - x. What is the second derivative of k - 3*k**3 + 0*k**3 + k**z wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2366224 (base 7) in base 11?\nAnswer: -197138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1618310613 at most as big as -1618310614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 = 21*d + 2106. Let a = 450\/7 + d. Factor 3\/7*u**2 + 6\/7 - a*u.\nAnswer: 3*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -34*r**3 - 4. Is u(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*k + 6*k = 19, 4*w - k = 8. Suppose -177 = -w*o - 4*c, 2*c = -5*o - 0*c + 309. Calculate the highest common factor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2769.27 + -2769.27171931. Round n to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 20*u. Let b(z) = -20*z. What is 6*b(k) + 5*v(k)?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(98\/(-637))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3497, -6999, -10501, -14003?\nAnswer: -17505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/602 + (-30)\/(-7) + 56\/(-16 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 11*j**2 - j + 3. Let o be u(0). Let q be 2\/o - 80\/(-60). Find a, given that -22*a - 38\/3*a**q - 6 - 2*a**3 = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*g - 370*g = -335510. List the prime factors of g.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6052 = -30158*q + 30226*q for q.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -17661, 0.4.\nAnswer: -17661, -0.04, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Suppose -m + 25 = 4*m. Let x be 20\/(-8)*(0 - -2). Sort h, m, x in ascending order.\nAnswer: x, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 53, 76, 101, 128, 157?\n\"Answer: y**2 + 18*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 11 - 24*a + 19 + 0 to t*a + y and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -801 - 277 + 5024*x**3 - 5026*x**3 - 3*x in the form w + o*x**2 + f*x**3 + l*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12.7, -9, -0.127, 94, 0.1 in decreasing order.\nAnswer: 94, 12.7, 0.1, -0.127, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - 6. Let w = -17 - j. Solve -w*l - 4 = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08 and 8664420915.\nAnswer: 8664420915.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/20)\/(-3*(-3)\/60). Find the third derivative of 5 + v*p**5 - 2*p**2 - 52*p + 52*p - 3*p**4 + 11*p**2 wrt p.\nAnswer: 480*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 + (-7 - -15) - 10 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -367289.944 rounded to the nearest one thousand?\nAnswer: -367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(-4*z**3 + 100*z**3 + 52*z**3 + 2*z**3 + z**3 - 2*z**3 + (-2*z**2 + z**2 - z**2)*(2*z - 3*z - z)).\nAnswer: 153*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) 1684 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 16\/6 + 1. Let v = 115 + -115. Which is the smallest value? (a) 0.2 (b) m (c) v (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*b + 2*w, 192*b - 5*w = 196*b + 27 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q + 2. Let h be 3*(8\/(-6) + 6). Suppose -16 = -h*a + 12. Let j(y) = 1. Calculate a*j(d) - r(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1380 and 18.\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 1787. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 17 + 15. Let c = -10 - a. Solve 4*g = c*k - 3*k + 31, -2*k = -3*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496149.\nAnswer: 3, 165383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 30\/196127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58954628?\nAnswer: 2, 151, 97607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 1:13 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, q: 1, w: 3}. Give prob of picking 4 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16336 by 5.\nAnswer: 16336\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/604 - 5639\/5134. Find the common denominator of x and -29\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 384 - 576*k + 12*k**3 + 3\/2*k**5 + 192*k**2 - 27\/2*k**4 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116709 and -47.02?\nAnswer: -5487657.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 16965344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1739113 * -0.023.\nAnswer: 39999.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 minutes after 8:52 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 495\/7. Let d = -0.5 + 0.6. Which is the closest to d? (a) -3 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 3*u = 220. Calculate the greatest common divisor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2)\/(4\/(-8)). Let c(i) be the second derivative of -2*i**3\/3 + i. Let g be c(y). Solve -5*n + n + g = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 12*q**2 - 22*q - 4. Let t(u) = -11*u + 56. Let j be t(6). What is the remainder when 60 is divided by f(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1721 + -10?\nAnswer: -1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/22)\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Suppose -11*r + 96 = 63. Let x(v) be the second derivative of 17\/6*v**r + 0*v**2 + 0 + 18*v. What is x(f(y))?\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 212 = 242 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10)\/((-1)\/(-5)). What is the remainder when 0 - -4*41\/n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -176, 310, 1120, 2254?\n\"Answer: 162*h**2 - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100110110001000 + -11?\nAnswer: -11001100110110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19841056 is divided by 860?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x - 861 - 1154. Does x = -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 128. Calculate the greatest common factor of 31 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 + -351. What is the nearest to m in -5, -0.03, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1705, -3405, -5105?\nAnswer: -6805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 3, 4 in ascending order.\nAnswer: 1.8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29090899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:53 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**7\/2520 - g**6\/180 + g**5\/30 - g**4\/8 - 4*g**2. Let k(x) be the second derivative of p(x). Determine k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/196*1*3\/6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 50160.5265 to the nearest integer.\nAnswer: 50161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + o - 4. Let a = -259 + 257. What is the least common multiple of n(a) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/6)\/(3910\/2346))\/((-2)\/145)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.504 + 0.004. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 - 3*p - 4. Let s be z(4). Let h = 7\/11 + -3\/22. Factor -h*w**3 - w + s - 3\/2*w**2.\nAnswer: -w*(w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:22 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r - 110*r = -104*r - 231*r - 23247 for r.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101011 + -11?\nAnswer: 10001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 4 = -11*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 199537078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -10, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 6*l + 1. Let d be x(-6). Suppose -c = -0*c - d. Suppose -1 = -2*b + 3. Calculate the highest common divisor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-3 - -22) + -3). Let z = b + -16. Suppose -3 = -j - z. Is -12 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12) - -1) + 35\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/35392963 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10161.05 to the nearest ten.\nAnswer: -10160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.5, -3276, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -159, 0, 3 in ascending order.\nAnswer: -159, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 2. Let j(y) = 1. Let g(n) = -2*j(n) + o(n). Let l = -10 + 11. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 - 294. What is the third smallest value in s, -1\/20, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1 - (-10 - -3)) + -19 + 24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -24. What is the second derivative of 0*s + 0 + r*s**2 + 0 - 8*s wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f - 2*f**3 + 20*f**2 + 27 + 0*f - 69*f**2 + 15*f - 2*f. Let x be r(-25). Solve -1\/8*m**4 - 3\/2*m**x - m + 0 - 3\/4*m**3 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 31 = 5*j, 2*z = 3*z + j + 11. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12*-58790\nAnswer: 705480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20918681341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1580 or 1577?\nAnswer: 1580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.03, -6, 56\/3, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:18 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i**3 + 24 - 24*i**3 + 12*i**3 - i**2 in the form r + b*i + d*i**3 + h*i**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2589 - -7781\/3. Let -h*l**3 - 8\/21*l - 8\/3*l**2 + 0 = 0. What is l?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 - 46*i**2 - 40*i + 88 = 0. Calculate i.\nAnswer: -22, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y**3 + 0*y + 0*y)*(-2*y - 2*y + 5*y) + 3*y - 3*y - 2*y**4 + 2*y**4 - 2*y**4 - 2*y**4 + 6*y**4 - 8*y**4 + 11*y**4)*(-11 + 11 - 18*y).\nAnswer: -72*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = -5*k, -3 = -5*z + k + 16. Solve -u - 4*u + 14 = z*v, -5*v + 4*u = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363?\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:31 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/145, -3, -1, 0.3, -5?\nAnswer: 6\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57680901 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-3) - (-10)\/(-15). Let x be 7 + (-3)\/f*-6. Solve 0 = -2*s + x, 0*j - 2*j = s - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqpididiccpipcpc. What is prob of sequence cpd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -391*y**3 - 2*y**2 - 4*y - 2. What are the prime factors of l(-1)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(3200) + -2 + -6*(sqrt(2450) - (sqrt(2450) + -2 + sqrt(2450)))*-1)*4)**2.\nAnswer: -32640*sqrt(2) + 925376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 - -491. Let f = 24 + u. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 63426*t**3 - 5*t - 14. Let u be m(-6). What is u rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1218 - -1222. Put -1, g, 1 in increasing order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*q = 5*q + 5, -h - q - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 22. Let u = k - 21. Let b = 2 - u. What is the remainder when b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44554 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 4*j + 7. Let q be 4\/((-5)\/((-75)\/10)). Give b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*m**4 - 128\/3 + 224\/3*m - 28\/3*m**3 - 22*m**2.\nAnswer: -2*(m - 1)**2*(m + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/13260 and -157\/14868?\nAnswer: 16429140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31587.21343 to the nearest ten.\nAnswer: 31590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 247*o - 3634. What is h(136)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**5 + 3*y**5 - 7*y**3 - 4*y + 21*y wrt y?\nAnswer: 120*y**3 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4, b: 3, j: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509 is divided by 539?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -382 + 14897\/39. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 948*s**4 + 1288*s**4 + 3*s + 110*s**4 + 265*s**4 - 1 + 271*s**4 to p*s**3 + g + z*s**2 + j*s + d*s**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-188)*20\/(-35)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -18. What is the second biggest value in -2\/11, 0.1, 0.4, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 75 = 4*v. What is the lowest common multiple of v and (-1)\/(-6) + 35\/6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3. Let t(s) = -3*s**3 - 7*s**2 - 2*s. Determine t(r) - x(r).\nAnswer: -2*r**3 - 7*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 191270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 9 = -2*n - 24*o, 5*n + 2*o = 25. Suppose n*v = -5*m + 601, v + 44*m - 47*m = 191. What are the prime factors of v?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 149.\nAnswer: 2533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - ((-82 - -28) + 7)) + (22 - 0)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 32 = 4*m, 64*m + 38 = -r + 60*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2637, -2633, -2619, -2589, -2537, -2457, -2343?\n\"Answer: s**3 - s**2 - 2637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j + 151 = 36*j - b, -j + 47 = 4*b. Suppose j = 2*l - 3*n, 8*n - 46 = -3*l + 12*n. Solve 15*o = l*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5889*s = 5908*s - 654607. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -85798967484 and -28.\nAnswer: -85798967512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516313?\nAnswer: 7, 41, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33621588 to the power of 1\/2, to the nearest integer?\nAnswer: 5798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -9*d**2 + 0 + 1\/60*d**5 + 1\/4*d**4 + 7\/6*d**3 + 0*d. Give c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 38*h - 2306. Let m be y(63). Solve -m = 26*o - 192 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z + 1. Let w = -95 + 96. Let d be n(w). Let p(x) = x**2 + 7*x + 1. Determine p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4655 and 132335?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 31. Which is the closest to 1? (a) 3 (b) 5\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/3 + 132*o**3 - 18970*o**2 + 1261312*o\/3 - 2568800 = 0.\nAnswer: -300, 13, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43092 and 13338.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 7, -59, -193, -419?\n\"Answer: -4*u**3 + 2*u**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 + 3*n + 2. Let l(o) = o**2. Suppose 0 = 7*h - 6*h - 4. Suppose -5*k + h = -21. Let i(v) = k*x(v) + 30*l(v). Factor i(y).\nAnswer: -5*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:36 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 4*u + 0*u to g + w*u and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)*((-72)\/(-9) - 8)\/2. Solve r = 5*m - 3*f - 8 + 13, -4*m + f - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4319*k**3\/2 - 133880*k**2 + 4149443*k\/2 + 8649 = 0. What is k?\nAnswer: -18\/4319, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*k - 9 = 0, 0 = 4*x + 2*k + k + 27. Let j be 4*7\/(-28)*x. Let h(c) = c**3 - 5*c**2 - 5*c - 3. Determine h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 2*q)*((-4 - q + 4)*(0*q - 2*q**2 + 0*q) + 0*q**3 - 5*q**3 - 6*q**3)*(1 + 2 - 5).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + -1*sqrt(325) + sqrt(325))**2 - (sqrt(52)*2 - sqrt(13) - (sqrt(13) + -1)*-4)).\nAnswer: -8 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {e: 1, f: 2, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(1\/(-6)*-2). What is the highest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 41. Let b be y(-6). Let j(g) = g**3 - 12*g**2 + 16*g - 27. What is the tens digit of j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13763 - -13766. What is the nearest to -1 in 135, 4, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**5\/20 + 3*k**3 + 88*k**2 + 40*k. Differentiate f(p) with respect to p.\nAnswer: 3*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.314891 to three decimal places.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 26*g - 12. Determine b(-27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*a - 4*r + 6, -2*a + 4*r - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:00 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -673296, -1346529, -2019762?\n\"Answer: -673233*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.5126.\nAnswer: -0.05126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n + 6. Let i be w(5). Let z = i - 39. What is the third derivative of 12*y**6 + 43 - 4*y**2 - 43 + 18*y**z wrt y?\nAnswer: 1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 168, 338, 508, 678, 848, 1018?\n\"Answer: 170*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.9302 - 0.0698. Let u = d + 6.5. Which is the nearest to -13? (a) -1\/4 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -500 and -501 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a - 7. Determine t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f - 13 = -2*s, 0 = -3*f - s + 19. Suppose 2*g + x = 26 - 11, -g + 2*x = -f. Solve 0 = -g*n + 3*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 24*o**2 + 18*o - 93. Give h(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 344\/5 - 3\/(-15). Suppose 5*a - 81 - 124 = 0. Suppose -5*p = -a - k. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17682*y**2 + 34714*y**2 - 17048*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpfjpjfptp. Give prob of sequence tf.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -0.1, 27, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49131013 is divided by 361?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 16*a**2 + 34*a + 39. Let k be f(18). Put k, 1, 0, -8 in decreasing order.\nAnswer: k, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/7 - 2434*k - 17036\/7 = 0.\nAnswer: -8518, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5129023 millennia to years.\nAnswer: 512.9023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -980\/11. Suppose -v - 3*g - 5 = 0, -2*v - 17 = -2*g + g. Calculate the common denominator of 1*2\/v*52\/(-7) and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/10080 - q**7\/2520 - q**6\/180 - q**5\/10 + 3*q**2. Let y(t) be the third derivative of v(t). Solve y(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 813*c**5\/10 - 63*c**3 + 357*c + 1. What is the second derivative of m(i) wrt i?\nAnswer: 9756*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -43*o + 1677. Let h be k(39). Solve h = -3*t + 16*t - 78 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9655 take away 27854589?\nAnswer: -27854622.9655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3\/8 - 9*c**2\/2 - 1017*c\/8 + 525\/4 = 0 for c.\nAnswer: -14, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5 + 0 - 2*t**2 + (2*t - 4*t + 3*t)*(2*t + 2*t + t).\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735159.\nAnswer: 1735159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvtvdttnttttt. What is prob of picking 1 t, 1 n, 1 v, and 1 d?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21.9. Round j to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhnh when four letters picked without replacement from {n: 5, q: 3, h: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15111 (base 6) in base 9?\nAnswer: -3277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z - 9*z - 308 = 11*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 79.730136 milliseconds?\nAnswer: 0.00002214726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.594? (a) 4 (b) 2 (c) 3\/8 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 162240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*50253955\nAnswer: -5025395.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121243923 a multiple of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133057262372 - -0.02.\nAnswer: 133057262372.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 626, 1 in decreasing order.\nAnswer: 626, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 33, 60, 95, 138?\n\"Answer: 4*p**2 + 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 573.3 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -9*l**4\/4 - 79*l**3\/3 - 7*l**2 + l. Differentiate m(o) with respect to o.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3*(-3)\/(-567)). Let o be 392\/k - (-2)\/(-9). Let g = o + -2. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 400*i - 4512. Give r(11).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 440*z**2 + 17. Let m(y) = 879*y**2 + 29. Give -3*m(k) + 5*n(k).\nAnswer: -437*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2 - 18*h + 14. Let s be p(8). Let m be ((-20)\/8)\/(5\/s). Which is greater: m or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 96*w - 898. What is m(35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 at most as big as 2747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 9) to base 15.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(300)*-1 - -2*sqrt(243)))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1283566 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163\/15 - 1\/5. Factor 16*o - 6*o**2 + 2\/3*o**3 - k.\nAnswer: 2*(o - 4)**2*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699314025 to the nearest integer?\nAnswer: 26445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -165*v - 1286. What are the prime factors of j(-25)?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 129, 135, 141, 147, 153?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -12. Solve 0 = -y - d*x - 24, -2*y + 3*x = -4*y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8851150 is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 - 5*x - 8. Let b be z(-1). Let y(a) = -a + 24*a**2 - 25*a**2 + 5*a - 3. Give y(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -141*y**8\/28 + y**4\/6 - 95*y**3\/6 - y - 9. What is the third derivative of z(q) wrt q?\nAnswer: -33840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-46)\/(-40))\/(6\/(-5)). Let h = -73 - -75. Which is the nearest to h? (a) -0.3 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/15 + ((-20)\/(-6) - 3). What is the third biggest value in c, 1, -3\/7, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z**2 + 80*z**3 - 70*z**3 + 38*z**2.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a + 2*j - 1421 = -3*j, 2*j - 274 = -21*a + 4*j + 335 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 221001?\nAnswer: -221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/5*l**4 - 4\/5 + 34\/5*l - 78\/5*l**2 + 16\/5*l**3 = 0. Calculate l.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62937000 to the nearest one million.\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3078 and 17\/21780.\nAnswer: 3724380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let h(j) = -17130*j**2. Determine h(c(f)).\nAnswer: -68520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35605 times -0.00032?\nAnswer: 11.3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 7. Let u(y) = 4*y + 3 + 10*y - 12*y - y. Let r(l) = -l**3 - 9*l**2 + 10*l + 2. Let k be r(-10). What is k*m(x) - 5*u(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 174405900009+590\nAnswer: 174405900599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -4, 3, 1, 3646442 in descending order.\nAnswer: 3646442, 3, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 303 times 6.8\nAnswer: 2060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-459)\/135 - (-2)\/5. Suppose -p - 10 = 4*p. Let a be p\/(-3) + 232\/(-78). Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 494. Let h(c) = -9*c + 8. Let r(x) = -75*x + 66. Let w(b) = -33*h(b) + 4*r(b). What is d(w(g))?\nAnswer: -6*g - 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 + 5012*s**2 + 185980*s + 1579500 = 0.\nAnswer: -1215, -25, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -470944, -470934, -470920, -470902, -470880?\n\"Answer: 2*y**2 + 4*y - 470950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 529291667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(-22) + (-320)\/176?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 1. Suppose u = 4*t + 18, -2*t = 3*u - 2*u + 12. Let s be y(u). Let g(p) = -p**2 + 5*p + 3. What are the prime factors of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*c*d**2 + 2*c*d*u**2 + 31*c*d - 9*d**2*u**2 + 710*d**2*u + 3*d with respect to c.\nAnswer: -197*d**2 + 2*d*u**2 + 31*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -8, -22, -40, -62, -88?\n\"Answer: -2*g**2 - 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*l - l. Suppose b + 6 = -5*x, -4*b + 4*x - 4 = -l. Is (b + 22\/(-6))*381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 103. Give u(-62).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160b12 (base 13) to base 3.\nAnswer: 1000122221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.03 - 4.83. What is the second biggest value in -1\/2, z, -2\/7, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3415, -3439, -3437, -3403, -3331?\n\"Answer: i**3 + 7*i**2 - 52*i - 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2. Let b(c) be the second derivative of -1\/4*c**4 + 0*c**2 + 1 + 0*c**3 - 8*c. Calculate b(s(k)).\nAnswer: -192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137301 is divided by 19606?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/13? (a) -1 (b) -3\/5 (c) 0.05 (d) 0 (e) 98\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1526\/34 - 2*2\/(-34). Find the second derivative of w + w + 41*w**3 - k*w**3 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 78*s + 1106. Let l be r(-11). What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -48, -48, -40, -18?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.6 and -85.57?\nAnswer: 479.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27678 is divided by 360?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -103*i**3 + 6*i**2 + 33*i + 6. Let n(r) = -r**2 - 6*r - 1. What is -m(w) - 6*n(w)?\nAnswer: 103*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/9 and -83\/1284942.\nAnswer: 3854826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/193596 and 25\/3822?\nAnswer: 9486204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 - r + 2. Let z = 60 - 60. Let x be s(z). Solve x*c + 4 = 4*b, 3*c + c = 5*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16091 - -3.6.\nAnswer: -16087.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.01 from -17767052652.\nAnswer: -17767052673.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/4, -4502, 84\/5, -1 in descending order.\nAnswer: 84\/5, 1\/4, 0.1, -1, -4502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*f = -157*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 14) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, -5, 14 in ascending order.\nAnswer: -5, 0, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4367 divided by 17146\nAnswer: 4367\/17146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**2*v - q**2 - 3*q*v - 2*q + 28*v - 3146 wrt v?\nAnswer: -4*q**2 - 3*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -23, -35, -47?\n\"Answer: -12*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 10677869.\nAnswer: 117456559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (sqrt(300) - (-1*sqrt(300) - sqrt(300)))**2)*2.\nAnswer: 27030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 1. Let b(k) = -2 - 2 + 14*k + 2 - 5*k. Let o(x) = b(x) + l(x). Let v be o(-9). Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -27774, 2 in decreasing order.\nAnswer: 5, 2, -11, -27774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v**2 + 1\/3*v**3 - v - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1.4\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/20 - (-10)\/(-8) - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1 - 13*q + 17*q + 0. Let l be a(1). Suppose -l*z = -366 - 94. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 a when four letters picked without replacement from {x: 1, a: 4, o: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -130?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.6 - 21.6. What is the biggest value in v, 0, 0.1, 0.79?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**3\/3 - 7*i**2 + i - 1092. Calculate l(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.594*-0.018674\nAnswer: 0.029766356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*f + 305, 2*f = i + 4*f + 46. Let z be i\/14 - 1\/(-1). Let v be 8\/8 - -1*1. Sort z, v, 4 in ascending order.\nAnswer: z, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/120 + t**5\/15 - t**4\/4 + t**3\/6 - 2*t**2. What is the units digit of i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.41312 to 1 dp.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173 + 24*g - 347 + 171 to the form m*g + x and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -48\/7*v**2 - 2*v**3 + 44\/7 + 2*v + 4\/7*v**4 = 0. What is v?\nAnswer: -2, -1, 1, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-4 + 2 + 2). Solve c*m + 10 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, c: 2, m: 12}. Give prob of sequence kc.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.80772169 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5758*w. Let v(x) = 4*x**2 - 1169. Determine v(j(a)).\nAnswer: 132618256*a**2 - 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1072 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p\/(p**2\/p))))**(-4\/7)*p**(2\/3)\/p*p**(-5\/4)*((p\/(p\/p**(-2)*p)*p)\/p**(4\/5))\/((p\/(p**2\/p*p)*p)\/p)**(-22) assuming p is positive.\nAnswer: p**(-11561\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91951, -183904, -275859, -367816, -459775?\nAnswer: -551736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 7*f + 419 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22545 to three dps.\nAnswer: 0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + (4 - 13 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/((-1)\/(-3)). Let i = 0.96 + -4.96. Which is the smallest value? (a) i (b) -5\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/8 - 143601*z**2\/8 - 5144020635*z\/8 + 811154730637\/8.\nAnswer: -(z - 157)*(z + 71879)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96828210911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100138353 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023109 to 6 decimal places.\nAnswer: 0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v + 228. Let d = 765 - 501. What is the remainder when d is divided by t(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23492 and 896.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8828261 less than 1.31?\nAnswer: -8828259.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - n + 48120, -3*a = -5*a + 2*n + 24070. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, 46, 53, 64, 79, 98, 121?\n\"Answer: 2*b**2 - 3*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**7\/21 - q**4\/4 + 21*q**3\/2 + 3*q - 27. What is the second derivative of m(u) wrt u?\nAnswer: -40*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 4*w + 4. Let l be o(-3). Let r = -120.9 + 121. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.44959 + -42.\nAnswer: -8.55041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2*1) - (-12)\/12. Suppose 5*u = -x + z*u - 107, 0 = 5*u - 5. Let v = x + 120. Solve 2*i - v = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*q + 15334800 = 167*q. What is q rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - 2*u**3 - u**3)*(2 - 6 + 3)*(u + 2*u**2 - u)*(5 - 1 - 2).\nAnswer: 20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.342*0.5.\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0. Suppose 4 = 93*g - 89. What is the nearest to -1 in 0.2, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -3 + 12\/3. Suppose -14 = -6*v + 5*v + 4*o, 3*v + p = -3*o. Which is bigger: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -8)*4\/(-5). Let x = -8 - k. Sort -4, x, 1 in decreasing order.\nAnswer: 1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/3 + 17*a**3\/6 - 37*a**2\/2 - 2*a + 16. Is c(8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1887\/388 - -11\/97. What is the common denominator of w and -13\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 6, -3, 837, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 4063?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2970 and 4070.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (2*sqrt(65) + sqrt(65))*6)\/((sqrt(30)*-1)\/sqrt(6)).\nAnswer: 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86349 micrometers in nanometers?\nAnswer: 1863.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 9*y + 2472. List the prime factors of y.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878989 is divided by 5295.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 552 + -558. Let j(u) = u**3 - u. Let q(z) = -9*z**3 - 2*z**2 + 6*z - 3. Give o*j(i) - q(i).\nAnswer: 3*i**3 + 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3576 - 0?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9121199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 - 366.0268. Let a = -0.0268121 - j. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 213*o + 154*o - 437*o. Let m(l) = l. Give x(m(j)).\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + 3*m)*(-5*m + 1598 - m**2 - 800 - 797).\nAnswer: m**3 + 5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 12. What is o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-2 + 2\/(-2)). Let b be 5\/5 - (-8 + a). Suppose -10 = -b*j + 3*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -17. Solve 2*w + 5 = -0*z - z, w + 15 = -i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-2 - (2 + -6)). Let b(x) = 2*x + 1. Let m be b(w). Let i(p) = -m*p - 12*p + 17*p. Let v(j) = 11*j**2. What is v(i(f))?\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from widwwwdwwww. What is prob of picking 3 w and 1 d?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*g + 134 = 54, 5*g - 5 = 2*f. Let m be ((48\/f)\/2)\/(8\/(-20)). Let c(i) = i**3 - 4*i**2 + 4. Let u be c(m). Solve -t = r, u*r + 7 = -5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 14*i + 2*i + 5*o = -22, -4*i + 24 = -4*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756117 is divided by 3517.\nAnswer: 3479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*12\/588)\/((-134)\/(-5628)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 7)*(63*k - 37*k + 2 + 21*k).\nAnswer: 235*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -121. What is the nearest to c in 2.5, -3, -4?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/9))\/f**7)**(-5\/7) assuming f is positive.\nAnswer: f**(260\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134 a factor of 74339171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5.9. Let c = 0.9 + p. Let v = 0 + c. Round v to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 41. What is the nearest to 0.1 in 1\/3, c, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -465597.18 and 0.09.\nAnswer: -465597.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 502 = 315*w + 3660, 4*w = -2*m - 122 + 78 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.17 and -13.511037 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*z + 2100 = -8*z - 1722 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: (64\/40)\/((-55)\/(-25) - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -2 - (-33 + 5). Let o = m - 14. Suppose -5*h - 3*w + o = 0, 4*w + 4 + 4 = -2*h. Solve -r = 3*q - 10, -q = -h*q + 5*r + 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - 4*sqrt(19)*3))**2 + 6*(1 + sqrt(19))**2 - (sqrt(190) - 6*(sqrt(190)*2 + sqrt(190)))\/sqrt(10)*4.\nAnswer: 80*sqrt(19) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otur when four letters picked without replacement from {t: 1, r: 2, u: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - 2*k - 2*k)*(3*k - 3*k - 5*k**2).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/4 + 5*j**4\/4 + j**3\/2 + j**2 - 1083*j. Determine h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -579 or 5636?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from uggfuufffuuf?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:42 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -44. Find c, given that 0 + 1\/2*c + 1\/2*c**v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 5.2?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + 10\/14. Let g = 0.8 - -0.2. Let o = 176.3 + -176.4. Which is the closest to g? (a) 5 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(272) + -1))**2 + -3 + sqrt(272)*-3.\nAnswer: -44*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 83*m**2 + 161*m + 83. Let x be n(81). Factor 3*r**4 - 3*r**x - 5\/2*r + 0 + 2*r**3 + 1\/2*r**5.\nAnswer: r*(r - 1)*(r + 1)**2*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2750 and 8\/3025.\nAnswer: 30250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from bwwwqwwqbwwwwqwww?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2487857000 to the nearest one million.\nAnswer: -2488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-663)\/17 + 3 + 0. Let a = 29 - o. Let x(i) = i**3 - 5*i**2 - 9*i - 9. Let b be x(7). What is the highest common divisor of a and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -6523*r**6\/120 - r**5\/20 - 149*r**4\/24 + 4254*r**2. Find the third derivative of l(n) wrt n.\nAnswer: -39138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.955 + -0.045. Let w = u - -65.2. What is w rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2421.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3595 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*t + 3*t + 11 = 0, 5*b = 3*t - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -51 - (3 - 6 - 17).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(100))\/sqrt(5).\nAnswer: -2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 3 + 1 - (418 + -424).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426 (base 12) to base 15.\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18050000 rounded to the nearest one hundred thousand?\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*o - 4132 = 7198 - 3773 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 - a**3\/6 - 14*a. Calculate j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39*-9)\/((-4)\/(8\/(-51))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11881*f**4\/6 + 34652844*f**3 - 70585420*f**2 + 7665872*f\/3 - 23336 = 0 for f.\nAnswer: -17502, 2\/109, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/3 + 2)\/(14\/(-105)). Suppose 2*q + 2*q - 1067 = -h, 0 = 2*h + 4*q - 2130. Suppose 2*y = n + h + 471, -j*y - 5*n = -3865. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74271267.7 to the nearest one hundred thousand.\nAnswer: -74300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 1. Let f(j) = -3 - 2*j + 2*j + 3*j + j**2. Let o = 1 + -7. What is o*n(m) - 2*f(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7 + 14 + -14 - (-34 - 4 - 3).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(sqrt(12)\/sqrt(4)) + sqrt(50))\/((sqrt(30) + -2*sqrt(30))\/sqrt(3)) + 4*3*sqrt(720)*-5)**2.\nAnswer: 2606420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -0.3, -1\/16, 2\/3, 1\/7 in increasing order.\nAnswer: -16, -0.3, -1\/16, 1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2) - ((245427\/(-286))\/87 + 4)\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o + 8. Let u be c(-5). Suppose u*b = 8*b - 70. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.783034 to 3 dps.\nAnswer: -3.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 59605?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -24. Let h = u - -20. Suppose h*x + 700000 = x. Round x to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i - 17. Suppose 5*x - 166 = -4*t, -5*t + 0*t = 5. Suppose 23 - x = c. List the prime factors of a(c).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c (base 15) to base 9.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*j = 44, 13*j - 16*j = 4*k + 20 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 - 2*i - 2. Let f be r(2). Let p be 4\/f - 45230\/(-67836). Let n = -435287\/67836 + p. What is the common denominator of -41\/22 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -401*f - 539?\nAnswer: -401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*c - 5 + 132223*c**2 - 132218*c**2 to f*c**2 + k*c + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.5 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 10*u**2 + 4*u + 22. Calculate p(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 549959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3614 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -9aa6?\nAnswer: -9a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/4 - 149*i**3\/2 - 22981*i**2\/4 + 268679*i\/2 = 0. Calculate i.\nAnswer: -79, 0, 19, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -162936421127110?\nAnswer: -162936421127109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 1. Let l(p) be the second derivative of p**4\/6 - 4*p**3\/3 + 5*p**2 + 184*p. Give l(o) - 10*r(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3166*d + 3172*d + 22 = -2*b, -2*d - 13 = -5*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700706671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h + 7*h - 12*h. Let d(t) be the third derivative of -9*t**5\/40 - 10*t**3\/3 - 14*t**2. Let p(a) be the first derivative of d(a). Give p(l(s)).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1974 divided by 385.\nAnswer: 282\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 63*g**2 - 7*g. Let x be r(-7). Suppose 23264 = -4*m - x. What is m rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 35 = 3*y + v, 0 = -y - 4*v + 3. Let u = y + -6. Suppose 2160000 = -a + u*a. What is a rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243) + 0))**2 + 4 + (sqrt(9)\/sqrt(3)*-2 + (-1*sqrt(9))\/sqrt(3) + sqrt(3))**2.\nAnswer: 16 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -147*s - 1. Let z(m) = -148*m - 1. Determine 5*o(t) - 4*z(t).\nAnswer: -143*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 14 + 21 = -4*h + 34, -b = 15*h - 82 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9667716 days?\nAnswer: 83529066240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 - 205. Let l = 2734 - 2739. Which is the smallest value? (a) l (b) w (c) 26 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -1, -122, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*f**2*r**3 - 44*f**2 + f*r**3 + 2*r wrt r?\nAnswer: 414*f**2*r + 6*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/36651 or 1?\nAnswer: -25\/36651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let l(g) = 8*g + 5*g**2 - 2*g**3 + 3*g**3 - 2*g**d + 9 + 6*g**2. Is l(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 8, -14, 4, -57?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-4*2\/112*-1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4199, 16408, 36645, 64904, 101179, 145464, 197753, 258040?\nAnswer: 326319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-27) - 2581660\/(-450)*10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - l, -3*l + 78 = -3*y + 84. Sort -4, -257, 0, y in increasing order.\nAnswer: -257, -4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 28*x**3 + x + 30*x**3 + 0 + x + x**4 to i*x**4 + v*x**2 + y*x**3 + q + k*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 5*m**3 + 11*m**3 + (3 + 2*m**2 - 3)*(-m - 2*m + 0*m) - 3*m**3 + 2*m**3 + 3*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191551 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/35 and -3\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 3*i + 9*i**2 - 176*i**2 - 1.\nAnswer: -167*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/c**4*(c*c**(-21)\/c)\/(c*c*c\/(c*(c*c**(-5\/6))\/c)*c) assuming c is positive.\nAnswer: c**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46295363 != -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-968182 - -1)*110\/30. Round u to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 11*s. Let n be 2\/(-2) - (2 + -7). Let k(a) = -a + 1. Let q(u) = n*k(u) - l(u). Let z be q(-7). Solve -3*j + z*j = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 876, 1743, 2602, 3453?\n\"Answer: -4*f**2 + 879*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22162 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3 + 3)*(5 - 3 - 1)*(-117 + 32*r**2 + 117).\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15036 (base 10) to base 5.\nAnswer: 440121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 + a95?\nAnswer: a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:55 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701589 + 96957 = -59*f. Does 84 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 14*o**2 + 6*o - 61. Give k(-14).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3158.\nAnswer: -1\/3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p + 23*p - 30*p)*(1 + 2 - 4) - 59*p + 23*p - 155*p to c*p + l and give c.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(2\/5))*w)**50\/((w\/((w*w**(-4))\/w))\/(w\/(w\/(w*(w\/(w**7\/w))\/w*w)))) assuming w is positive.\nAnswer: w**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 351 + 27 = 0. Calculate the smallest common multiple of 756\/(-224)*(-560)\/42 and m.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/(-2)*(-1 + 1). Solve r = -18*x - 4*x - 110 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 10*a + 8. Let r be g(-8). Suppose -2*t + 5*t = r. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3869 times -114?\nAnswer: -44.1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12946 - 12870.63. Let r = -75 + c. Let a = 0.6 - r. Round a to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(85)*-5*5)\/(-2*((sqrt(45)\/sqrt(3) + sqrt(15))\/sqrt(3) - sqrt(5))*2).\nAnswer: -75*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 22 = 94 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/429 and -20\/33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**1)\/(h\/h**(-6)*h*h))**(-5) assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 221122 (base 3) in base 11?\nAnswer: 57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6222314179524 take away -43?\nAnswer: -6222314179481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 7. Let l be q(4). Let c be (-14)\/(-49) - (-26)\/l. Suppose -53 = -c*v + 119. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2494792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arr when three letters picked without replacement from {a: 5, r: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 139156*g**2 - 118 + 61.\nAnswer: 139156*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -634.1 and 8969.46735.\nAnswer: 8335.36735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 + -142. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 30. Suppose 0 = 5*h + 3*q - 64, -2*h + 34 = -8*q + 5*q. Give g(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, n: 2, c: 2}. What is prob of sequence cnn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllelkllllll. Give prob of picking 1 k, 1 l, and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-182)\/(-21))\/(-13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1 + 165 - 0*5\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 15 = 25*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15855384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/15 + 604*h**2\/3 + 18016*h\/15 - 48128\/15 = 0 for h.\nAnswer: -1504, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11433.476 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 897619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 11082.855205?\nAnswer: -11079.855205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4167656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 10680*l + 10677.\nAnswer: 3*(l + 1)*(l + 3559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109342, -218680, -328016, -437350, -546682, -656012?\n\"Answer: f**2 - 109341*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2981580 is divided by 198755.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5787032 times 0.4?\nAnswer: -2314812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15904 divided by 1136\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 1. Suppose 0 = c - 2, -4*q + 3614*c + 10 = 3617*c. What is the closest to -7 in q, -5\/7, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y*y\/((y*y**(1\/4)*y)\/y))\/y)**(2\/9))**(-26))**26)**(-49) assuming y is positive.\nAnswer: y**(16562\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = a - 3*y + 8, 4*y = -2*a + 24. Suppose 0 = 2*j - a - 2. Let k be (-5 - 0) + 1 - -1. Sort j, k, -2 in descending order.\nAnswer: j, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8045*v + 2204329. What is y(-274)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, 6 in descending order.\nAnswer: 30, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 23 = 5*c + 12, z + 15 = -4*c. Suppose -z*d + 2 = -3*d. Calculate the smallest common multiple of 12 and ((-7)\/3)\/(d\/(-6)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y**2. Let w(v) be the third derivative of -11*v**5\/60 + 25*v**2. Determine w(x(b)).\nAnswer: -2156*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 83. What is the remainder when j is divided by (-6)\/10 + (-58)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w**3 - 2*w**3 - 4)*(535*w - 107*w - 158*w - 1).\nAnswer: -270*w**4 + w**3 - 270*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*q - 18 + 6 = 0, -5*q + 7 = 4*m. Factor 11*k**3 - 4*k**4 + 24*k**3 - 23*k**m - 8*k**2.\nAnswer: -4*k**2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*u**2 - 2435*u**2 + 814*u**2 + 805*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/5)*z*z**(-8)*(z**(-10)\/z)\/(z*z**12*z))**(2\/117) assuming z is positive.\nAnswer: z**(-34\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = x + 19 + 67, -426 = 5*x - 3*v. Let l = x + 80. Sort -1, -8, l, 4.\nAnswer: -8, l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 - (3 + -1 + -1). Let r = k - 13. Suppose -26 + 91 = r*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64441848.\nAnswer: 2, 3, 2685077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1212121211210 (base 3) to base 8\nAnswer: 3632115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 236. Let r = t - 64. Suppose -r*i + 15 = 0, 3*x - 4*i - 14336 = 11752. What is x rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264371 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g - 78. Let c be d(18). Let t(b) = -b**3 + b**2 - b + 6. Let n be t(0). What is the greatest common factor of n and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828\/(-13710)*5*-1*18\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 3. Give i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/272 + 2\/8. Which is bigger: 2\/3 or f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(18\/(-4))*3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1173523764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-2511.\nAnswer: 225.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 0.02. Let p = 56 + -60. Let j = 7 + p. What is the closest to z in j, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -17080?\nAnswer: 1\/4270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 4*f + 20 = 3*v, 0 = -5*f - 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/4 of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 1117*x + 3556*x.\nAnswer: 2439*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 305310?\nAnswer: 305304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158878 + -85078. Round f to the nearest 1000.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -153*g - 3051. Calculate b(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10.3, 0.02, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/8 + ((-510)\/425)\/(8\/45). Let c(a) = -26*a - 152. What is c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -5 in descending order.\nAnswer: 11, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 10 - 7*s - 6 + 8*s**2 + s**3. Let a be u(7). Suppose a*f - 3*f = 2*p + 18, -3*f = -5*p - 52. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666 is divided by 188?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 + b + 9. Let w(l) = -21*l**2 + 6*l + 51. Determine -11*i(t) + 2*w(t).\nAnswer: 2*t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -82, -129, -206, -313, -450?\n\"Answer: -15*q**2 - 2*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**3*p + 6*j*p + 368*p with respect to j.\nAnswer: -21*j**2*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 54. Suppose 4*o - 8 = 5*b - 50, 2*b = 2*o + a. Let r = 10 + o. Solve -4*x - 4*h = 0, -h + r - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*i**3 + 306*i**2 - 34220.\nAnswer: 24*i**2 + 612*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Let q(f) = 4*f. Let z be q(-3). Let i = 14 + z. Is i less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 25*d - 14. Let v be y(1). Suppose -40 = -w + v. What is the highest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 = 12*r - 52008*l + 52009*l, 0 = -5*r + 3*l + 155 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*y**3 + 3 + 4*y**2 - 80621*y + 80621*y in the form w*y + g*y**3 + m*y**2 + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2958 + 786. Let y = b - 651. Suppose -6*x = -x - y. Round x to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 1\/2 (c) 0.12 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 5*c**2 + 5*c - 3. Let h be s(4). Let t be (2\/4)\/(3\/18). Let v be t\/1*1\/h. Calculate the greatest common factor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94909725.60278 minus -18?\nAnswer: -94909707.60278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - w + 20, 17 = 3*u + w + 3. Let g be (-8)\/(-114)*u\/2. Let z be ((-430)\/50 + 9)\/(-1). Which is the third smallest value? (a) z (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/2040)\/(556\/11815)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 2*m + 15. Let w(b) = b. Calculate r(i) + 2*w(i).\nAnswer: -i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - u + 13 = 0, 6*t - 9*t + 4*u + 39 = 0. Let d(s) = 5 - 2 + 3*s + t*s - 3. Let l(k) = 4*k**2 + 4*k**2 - 2*k**2. Determine d(l(z)).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -227 + 235 + (-3 - (5 - 1)) + 10 + -57\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvtvvtvvt. What is prob of sequence vvtt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose -q*g + 58 = -w, -2*g - 5*w = -0*g - 50. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321691 and 3302.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 40 = v. Let g(d) = -7*d - 207. What is the remainder when g(-35) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 42*i - 125. Let r be g(3). Which is smaller: r or 1\/9509?\nAnswer: 1\/9509","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58339 and 8399?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/15 - 3049\/(-5). Suppose -4*o = -x + 190. Suppose n = -4*n + o. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -19. Let o(q) = -q**2 + q + 1. Let a(l) = 24*l**2 - 60*l - 21. Let i(y) = m*o(y) - a(y). What is w in i(w) = 0?\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n**2 + n - 4. Let k be r(0). Let m = k - -17. Solve 3 = -4*u - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 2*w**2 + 1. Let d be f(2). Is 33 - (9\/3 + d) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 + 3. Let f be t(0). Suppose w - 2*a = -a + 3, f*w - 9 = 2*a. Suppose -w*g + 24 = -0*g - 2*j, -3*j = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f)*(3 + 1 - 1)*(28*f**4 + 47*f**4 - 30*f**4) - 48*f**5 - 29*f + 29*f.\nAnswer: -318*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -451 by 2.\nAnswer: -451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*3*2)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 3859500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -49\/5. Let d = 5 + -5.9. Let g = -0.6 - d. Put g, w, 3 in descending order.\nAnswer: 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 + 9*f + 9. Determine r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 2*o**2 + 63*o**3 + 0*o**2 + 20 in the form c*o + t + v*o**3 + m*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 55*c - 792 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2)*1\/9. Let j = -0.0423 + 3.0423. What is the second smallest value in f, 7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = -y, -2*y + 35 = -5*j - 6*y. Suppose 0*u - 3*g + 10 = 2*u, -5*u - 2*g = -3. Sort 1, j, u in ascending order.\nAnswer: j, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 + 4*o + 4. Let v(h) = -h**2 + 3*h + 4*h - 1 - 8*h. Let f = 0 - -1. What is f*m(n) + 4*v(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (6\/4 + -1)*(13 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**17\/(v\/v**(-36\/11)*v)*(v\/v**20)\/(v**(2\/95)*v) assuming v is positive.\nAnswer: v**(-8667\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (1078\/63 - 18)\/(16\/72)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3172, -3181, -3202, -3241, -3304?\nAnswer: -3397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*x + 25. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001101011001010001 (base 2) to base 10.\nAnswer: 1627729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13893 or 0.984?\nAnswer: 13893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 115?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f + 1. Let x be z(-1). Let b(c) = -c**2 - 5*c + 9. Let l be b(x). Suppose -6683*w = -6674*w. Sort l, w, -1.\nAnswer: l, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3388943312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681324249 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880)*2)\/(1*sqrt(144)) + -3*-2*sqrt(2880))**2.\nAnswer: 109520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3 + 685\/(-225)). Let b = p - 16. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-10 - -5)*(-4)\/(24\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*x**3 - 2*q**3*x - 547921*q**2 + 13*q*x**3 - 85656*q*x - 2*q wrt q.\nAnswer: 6*q*x**3 - 12*q*x - 1095842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 6418178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d)**(-1\/9)\/(d**(-1\/2))**(2\/15) assuming d is positive.\nAnswer: d**(-17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.029704 and -13.6499745?\nAnswer: 13.6202705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 1. Let q(t) = -t**2 - 3*t + 3. Let s be q(-4). Let k = 27\/4 - 77\/12. Which is the biggest value? (a) k (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/3 + 5*y**2 + 31*y. Let c(f) = -6*f. What is a(c(u))?\nAnswer: -720*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(847) + -1 + sqrt(847) + sqrt(847)*-1 - (-4 + (3 + sqrt(847) - sqrt(847))))*-6)**2*-1 + 0.\nAnswer: -762300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 + 39\/4. Let q(x) = 6*x + 6. Let o(p) be the second derivative of p**3\/6 + p**2\/2 - 5*p. Suppose -3*r + 0*r - 6 = 0. What is r*q(z) + y*o(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 30 + (-1 + 2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 630 and 226890.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*v - 15, b + 3*v - 6 - 1 = 0. Let i be ((-1)\/b)\/((-4)\/(-24)). Suppose -i*q + 6 = -33. Calculate the remainder when 38 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:08 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 80. Factor 1\/2*h**3 + 0*h**2 + 0 + 0*h + 1\/2*h**n.\nAnswer: h**3*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 1765188832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 26. Suppose i + 5 = -2*w, -r*i + 17 - 2 = w. Calculate the greatest common divisor of i and 105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**3\/3 + 2*g. Let r(i) = 2*i**2. Determine r(l(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 254 + -701713?\nAnswer: -701437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15286317864.92 and -0.4.\nAnswer: 15286317864.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m - 8. Let r = 4 + m. Solve -h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 103407174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 - 5*t + 6. Let a be f(6). Let m = a + 16. Does 3 divide (m\/(-4))\/(4\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:16 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 3*q + 240 = 0. Let z be (1485\/330)\/(3*2\/q). Let f be (4 + -2)*(-1 - 0). Sort z, f, 1 in descending order.\nAnswer: z, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 147\/(-54))*(-78)\/(-20). Is p at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -2*p**6\/45 - 22*p**5\/15 - 56*p**4\/3 - 980*p**3\/9 - 686*p**2\/3 + 2*p - 39. Factor k(y).\nAnswer: -4*(y + 1)*(y + 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/4*2)\/(-3 + 2). Suppose 5*h = 7*z - k*z + 360, 0 = -2*h - z + 153. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-16)*k)**(-4)*(k**(4\/17))**31)**46 assuming k is positive.\nAnswer: k**(52624\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153295326.\nAnswer: 2, 3, 8516407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*a - 26. Let u = a + 34. What is the common denominator of 2 - u\/(-3) - -2 and -39\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 42.5. Let v be ((-5)\/60)\/(6\/16). Sort v, y, -3.\nAnswer: -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/253 - -196*262\/70609?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let g be y(-12). Suppose -9*z - 105 = -g*z. Suppose 5*q - z - 50 = 0. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*f**3 - 84*f**2*y - 62*f*y + 8*y + 200088 wrt f.\nAnswer: -159*f**2 - 168*f*y - 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3228 and 2?\nAnswer: 6456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 682677092\/72 + -3. Let t = 9487551 - m. Let i = t + -5921. Calculate the common denominator of i and -115\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + q - 9*q)*(-18*q**2 + 18*q**2 - 7*q**3) + (-12 - 10 - 4)*(-4*q**4 + 3*q**4 + 4*q**4) in the form p*q**4 + c*q + s + l*q**2 + o*q**3 and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/349 and -7\/5.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -61. What is the lowest common multiple of w and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*l**3 + 140*l**3 - 119*l**4 + 7116 - 7096 - l as k*l**3 + o*l + i*l**4 + b + z*l**2 and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 66995*j + 2. Let g(d) = -2*d. What is r(g(v))?\nAnswer: -8*v**2 + 133990*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75300 and 4150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)*j)**(2\/21)\/(j\/j**(-29)*j\/j**13) assuming j is positive.\nAnswer: j**(-876\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/29, -129\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4366, -8749, -13146, -17563, -22006, -26481, -30994, -35551?\nAnswer: -40158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/10*(-12)\/27. Let s = 5 + -7. Let t be s - ((-3)\/2 + -2). What is the biggest value in g, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.93 + 0.07. Let r = -518058 + 518072.00012. Let a = h - r. What is a rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose i = -0*f + 5*f + 6, 2 = 4*i + p*f. What is the first derivative of -4*q**4 + 0*q**4 + q**4 - i wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(44\/(-880))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 32 = 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15.99 * -0.2\nAnswer: -3.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27489 and -2003.\nAnswer: 55060467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a millennium in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1. Let z(l) = -l**2 - 2*l + 6. Let i(c) = -3*p(c) - z(c). Determine u, given that i(u) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001431943 to 7 dps.\nAnswer: 0.0001432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -44*i + 11. Let j(s) = 15*s - 4. Let h(v) = -11*j(v) - 4*m(v). Let t be h(1). What is the highest common divisor of 154 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:41 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 15. Let o be d(-21). Suppose -2*x - x = -o. Solve 2*y = -x*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526, -2602, -6090, -10996, -17326, -25086, -34282?\nAnswer: -44920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15492956 + 15492956 - 2*a. Let t(n) = 531*n**2. Determine t(x(d)).\nAnswer: 2124*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 708 divide 1006972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 24, 25, 26?\n\"Answer: g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37087 - -3?\nAnswer: 3708a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25133100 (base 6) in base 16?\nAnswer: -c4a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*6\/((-18)\/51). Which is greater: 19 or n?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 7613, -1, 392?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*v**3 + 3586*v**3 - 728*v**3 - 454*v**3 + 66*v**3.\nAnswer: 1879*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469381413 to the nearest integer?\nAnswer: 21665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 38*h - 279 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**3 + 16470*i**2 - 66023*i + 1834. Calculate w(-1834).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 10:46 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*j + 65, -j - 31 = -2*v - 4*j. What is the third derivative of 8*g**2 - 35*g**2 - 32*g**5 + v*g**2 wrt g?\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 14*s + 12. Determine b(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 16.8017.\nAnswer: -1.68017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 3 - 114*x - 43*x**3 + x**3 - 4 + 116*x to s*x + i*x**2 + j*x**3 + p and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -90, -124, -154?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (-599 + 599 - (-13 - (3 + (-3 - 3)))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 567 divide 2455221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*k - 92 = 0, -263 = -2*t - 3*t + k. Let u = t - 36. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/5)*w)\/w*w)\/((w*w**(-4\/7))\/w)*((w*w**(5\/2)*w)\/w)\/(w**4*w))\/(w*(w*w**(-7)*w)\/w*w**(-3\/5))**(2\/3) assuming w is positive.\nAnswer: w**(185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2324*d - 11629 = 3*k, 4683*d = 4*k + 4684*d + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.635 (b) -73\/38 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31854217.\nAnswer: 31854217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 20098 = -4*n + 10*l, 3*n = 4*l + 15036. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28915 in -4\/7, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3212 divided by -22\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3875\/1427 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 + -461. Let r = n - -203. Let b be (-1*1)\/((-42)\/(-12)). What is the third biggest value in b, 1, r, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l + 15. Let q(m) = -2*m - 4. What is -5*f(y) - 21*q(y)?\nAnswer: -3*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-9 - 0)) + -4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 14.\nAnswer: 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f**3 + f + (2 - 2 + f)*(0*f**2 - f**2 - f**2) - f**3 + 4 - 5*f**3 + 8*f**3)*(6 + 4 - 6)*(-2 + 3 - 2)*(f - 2*f + 15*f).\nAnswer: -56*f**4 - 224*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 5. Let w be h(8). Let j(p) be the first derivative of 0*p**2 + 0*p - 2 + 2\/3*p**w. Factor j(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 - 5*x + 3. Let n(h) be the third derivative of 2*h**5\/15 - h**4\/4 + h**3\/2 - 6*h**2. What is 6*f(j) - 5*n(j)?\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71954889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/60 + c**4\/3 - c**3\/2 + 2*c**2. Let x be q(7). What is the least common multiple of 12 and 320\/48 + x\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 280*y - 1500 = 0. Calculate y.\nAnswer: -75, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*h - 8, -7 = -h - 4*k + 11. Suppose 49 = 3*u - h*i, 21 = 3*u + 3*i - 48. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + 3*m)*(-7*m - 22 + 22)*(27 + 65 - 60).\nAnswer: -672*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 22839.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 374 = -1051. Calculate the remainder when u is divided by 125.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = -21. Let r = 8 - q. Solve 2*w = -2*o - 8, r*w - o = 6 + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -24419064\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/320 and 37\/112.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87103.2 + 72707. What is g rounded to the nearest 100?\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*i**3 - 75*i + 4 + 84*i to the form l*i**3 + m*i**2 + g*i + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4693 - 2751. What are the prime factors of a?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*p + k - 2*k, 0 = 4*k + 4. Let g be p\/((-2)\/12) - -2. Put 3, g, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26097.51 micrometers to centimeters.\nAnswer: 2.609751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j - 72*j + 39*j + 10646*j**3 - 3252*j**3.\nAnswer: 7394*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 + -0.5. Suppose 0 = -3*s + 29 - 20. Sort 0.5, s, x in descending order.\nAnswer: x, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**3\/6 - 5*c**2 + c. Let w be s(-11). Calculate the lowest common multiple of (w + (-3)\/(-9))*12 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -30*h + 180. Let i be f(6). Let q(u) be the third derivative of 0 + 4*u**2 + 0*u**4 + 1\/60*u**5 + 0*u**3 + i*u. Let k(s) = 17*s. What is k(q(t))?\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -5, 13\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-9)\/3 - -1). Let f be (-40)\/(-350)*(-5)\/2. Which is the nearest to f? (a) -1 (b) s (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 354 and 13334?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-3))\/((-317695)\/(-9390))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -306 + 161 + 175, -5*o = l - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -4 + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 t, and 1 d when four letters picked without replacement from bttdndbtnt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1623 and 1146?\nAnswer: 619986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130113 + -213103313?\nAnswer: -213300032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3524 - -13266. What are the prime factors of q?\nAnswer: 2, 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/(-95) - (-7)\/35. Let f = d - -37\/114. Sort 3, 0.3, f in descending order.\nAnswer: 3, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-6))**(-37))**15)**(-29) assuming x is positive.\nAnswer: x**112665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g + 10. Calculate q(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 528*f**2 - 7*f + 23. Let t(c) = -527*c**2 + 7*c - 27. Let l(k) = -6*t(k) - 5*z(k). What is the second derivative of l(n) wrt n?\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -3\/4 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(143 - 1))\/((-13)\/26). Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.166 * 1.59156.\nAnswer: 0.26419896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.06447ns in hours?\nAnswer: 0.000000000181684575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17288\/5 - -3417. Let w = t + 41. Let s = -23 + 12. Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4\/557, -10 in descending order.\nAnswer: 1\/3, 4\/557, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5864.733069 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76338 less than 76338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1113, -2675, -4237, -5799, -7361, -8923?\nAnswer: -10485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 29789933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-7) + 1945\/35 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = 9*f - 4*f. Let b = f + -132. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1276250 = -2048*m + 2073*m. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 + 3*m**3 - m**3)*(-127 - 160 - 8 + 59) in the form g*m + b*m**2 + o*m**3 + h and give o.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70817037 rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h\/h**(4\/7))\/((h\/h**(3\/5)*h*h)\/h**(-8)) assuming h is positive.\nAnswer: h**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5409 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383479143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/144 and 79\/10890180?\nAnswer: 43560720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*i**(-1\/6)*i)*i*i)\/i*i)**(-13)*(i*i*i**(-6))**45 assuming i is positive.\nAnswer: i**(-1249\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y. Let q be m(3). Suppose -5*x = -q*x + 24. Suppose 13*l - x*l - 70 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1541609 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l**2 - 14*l**2 + 14007*l**3 - 2*l - 15220*l**3 to the form d*l**2 + y + h*l**3 + t*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*n = -15 - 9, -5*w + 2 = 2*n. Solve 7*g - 12*g + w*m = 14, 2*m + 18 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 56*q - 57*q - 3, d + 4*q = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60717 is divided by 560?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10926311700 rounded to the nearest 1000000?\nAnswer: -10926000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from nnppenpyehpp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24835206 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -11*n - 20. Suppose 83*s + 25 + 58 = 0. Sort 4, 17, s, n in descending order.\nAnswer: 17, n, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16045000 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31185 by 2835.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1573) + -3 - sqrt(1573)) + -1)*4)**2*1.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33285738 divided by -1587\nAnswer: -20974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Suppose v + t*v - 10 = 0. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 64*c. Let n(m) = -2*m**2. Determine n(j(a)).\nAnswer: -8192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1312 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1. Let h = 3 + -2. Let j = 0 + h. Let b be a(j). Solve b*q = -3*q - d - 7, -8 = 2*q - d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 0*d - 7*d)*(147*d**2 + 76*d**2 + 462*d**2) + (2 + 2 - 3)*(-2*d**3 - 5 + 5) + 2*d**3 + 0 - d + 0 to v*d**3 + l*d + m*d**2 + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.080606 to three dps.\nAnswer: 5.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (4 - 23) - -25\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 15*w - 132. Is (289737\/(-12))\/(-7) + (-3)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - 0 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3245, -12981, -29209, -51929, -81141?\nAnswer: -116845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 5 (b) 0.2 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 8*h)*(43 - 25 - 28) - 13 + 13 - 4*h - 4*h + 5*h - 8*h - 5*h as b + a*h and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 1, y: 1}. What is prob of sequence ay?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 69672*a - 48. Let r be (108\/(-48))\/((-3)\/12). Let g be p(r). What is g rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:54 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 77 + 152 - 84\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*s**3*w**2 - 2*b*s - b*w**3 + 5667*s**3*w**4 - s**3*w**3 - 19131*s**3*w**2 wrt w?\nAnswer: -6*b + 136008*s**3*w - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:14 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -21. Let a(p) = 4*p - 6 + 5*p + 1 + q. Let y(h) = -2*h. Determine 2*a(l) + 10*y(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f)**50 assuming f is positive.\nAnswer: f**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1113308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 608437082 to the power of 1\/2, to the nearest integer?\nAnswer: 24667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 16. Let v(r) = -7*r + 8*r**2 - y*r**2 - 4*r**2. Give v(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(432) - (-2 + sqrt(432)))*3)**2 + -1*(sqrt(270) + sqrt(270)*1 + sqrt(270) + sqrt(270))\/sqrt(10).\nAnswer: -12*sqrt(3) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36564592.\nAnswer: 2, 29, 78803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-668)\/9))\/(6984\/3104)?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjphhhkkgzhhzphpkzg. Give prob of sequence zhh.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -43. Suppose -u*i = i + 448. Let q = 171 + i. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + 11?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4080 + -4062. Calculate the smallest common multiple of 549 and o.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 0 - -4*(sqrt(11) + 0) - (sqrt(66)\/(-1*sqrt(6)*6))**2.\nAnswer: -11\/36 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 33. Let g be k(-17). Let p be (4\/g)\/((-1)\/796). Suppose -p - 311 = -5*i. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -59*j**3 + 4*j - 4. Let t(y) = 58*y**3 - 5*y + 5. Calculate -5*k(x) - 4*t(x).\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - (-2 - 1)) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 17*f + 9*f - 25*f as o*f + i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.1. Let x = 15 + -9. Suppose -x*b - 1 = -7*b. What is the second biggest value in h, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -11*d + 7*d - 168, -2*d - 686 = -4*u. What is the smallest common multiple of 100 and u?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -7 - (28 + -33). Let p be 2\/(0 - (-2)\/(-8)). Sort 0, p, -2, k in ascending order.\nAnswer: p, -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -131*z**2 - 4*z + 2. Let c(v) = -263*v**2 - 10*v + 5. What is 2*c(g) - 5*f(g)?\nAnswer: 129*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-14)\/(-8) - 7 - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247745 + 1738582\/7. Let j = -625 + k. Which is smaller: 1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207.7 + 210.7. Which is the second biggest value? (a) 38 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*t + 9 = 1016*t - 5*k - 14 - 7, -8*k - 43 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 3.9. What is the closest to 2 in -3, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*(20 - -1). Suppose -4*c = 5*j - 28, 8 = -3*j + 4*j + 2*c. Is j >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11708009 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.1. Let o be ((-100)\/(-80))\/((-10)\/(-12)). Which is the nearest to 0? (a) w (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -8. Let w(u) = -288*u - 4. Let x be w(b). Suppose -5*s = -65 - x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - u**2 + 1 + (u**2 - 49 + 49)*(4 + 3 - 3) to the form m*u**2 + o*u + t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9748 by 2973.\nAnswer: -9748\/2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 696\/17?\nAnswer: 696\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-30))\/((-1)\/8). Suppose -b*h + 160 = -0*h. Let g = -50 - -71. What is the remainder when h is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**6\/36 - 4*y**5\/15 + 17*y**4\/24 - 5*y**3\/9 + 559. Let i(b) = 0. What is b?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w + 3*w. Suppose -4*d - 4*p + w = 0, 2*p + 5 = 2*d + 5*p. Which is the third smallest value? (a) d (b) -1\/4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(((-2)\/(-40))\/(((-13685)\/3400)\/(-161))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 19*h**5\/60 + h**4\/12 + h**3\/6 - 2*h**2. Calculate t(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2722269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - 240. Suppose 0*q = 4*v + q - g, 20 = -5*q. Suppose 5*z = 0, 5*i + 5*z - v = 12. Solve 3*x = i*x - 5*n + 2, x = -3*n + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-266)*(-43)\/(-86)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from ohqqohlhhoohaho?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**2 - 7*b + 18. Let u(p) = 91*p**2 + 58*p - 149. Let a(r) = 33*h(r) + 4*u(r). Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2399095406?\nAnswer: 2, 59, 20331317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48063792 to the power of 1\/2, to the nearest integer?\nAnswer: 6933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372851, 372849, 372841, 372821, 372783?\nAnswer: 372721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + 2*p**2 + 2 + 41*p to the form a + l*p**2 + u*p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - c - c)*(65 + 704*c - 353*c - 353*c).\nAnswer: -8*c**2 + 260*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3024 + -1463. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -5, -3, 53\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 9*f + 3. Let s be p(-9). Let n be 3 - s\/((-3)\/1). Find the second derivative of 82*h**5 - 89*h**5 + 0*h + n*h wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5675970.\nAnswer: 2, 3, 5, 189199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, -65, -1, 0.3 in descending order.\nAnswer: 2, 1, 0.3, 0, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-b + b - 3*b) - 451*b + 443*b - 3 + 5.\nAnswer: -5*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7.802 times 0.297\nAnswer: 2.317194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78961.22 centimeters in nanometers?\nAnswer: 789612200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*w**6 - 70*w**5 + 23*w**2 + 25*w?\nAnswer: 600*w**3 - 4200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -28*o**2 - 83*o - 66. Let w be x(-28). Calculate the remainder when 101 is divided by 1\/9 + w\/(-387).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -1 + (26 - (-6 + 9 - -18))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + k - 4*k)*(5 + 1 - 4).\nAnswer: -6*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -1015, -3763, -9121, -17959, -31147?\nAnswer: -49555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*k - 2 + 10, 16 = 4*k - 5*j. Let t = 0 + k. Solve -2 + t = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5730 - -5698 - (1 + -13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 761084, 1522169, 2283256, 3044345, 3805436, 4566529, 5327624?\n\"Answer: v**2 + 761082*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -8, 5, 4 in increasing order.\nAnswer: -8, -3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17840, 17843, 17846, 17849, 17852?\n\"Answer: 3*x + 17837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 - 172 = -t. Suppose 61*h - 932 = 57*h. Suppose -t*o + 331 = -h. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10*y = -7*y. Solve y = 4*j - 5*u + 25, -6*j - 4*u + 20 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/(-20) - 13\/130. Sort 1\/14, n, -26.\nAnswer: -26, n, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5 - 25 + 92 = 0. What is the lowest common multiple of z and 20460?\nAnswer: 40920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 - 3351522?\nAnswer: -3351426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - g + 12 = 0, 58*l - 62*l + 8 = -2*g. Solve 4*m + 8 = l*k, 5*k - 6 = -8*m + 9*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -5, -519 in increasing order.\nAnswer: -519, -20, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:23 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 683*f**3 + 0*f + 5 + 1 - 6.\nAnswer: -683*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 5*h. Let q be (-35)\/(-14) - (-1)\/h. What is the third derivative of -2*w**2 - w**2 - 193*w + 193*w - q*w**5 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 (base 11) in base 7?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3216233*i*j**3 + 3*i*j - 2*i - 7136*j - 2 wrt j?\nAnswer: -19297398*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90086?\nAnswer: 2, 31, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**14*c*c**2 assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -51. Let v(j) = 4*j + 20. Is v(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 2*f - 2 - 2*f**2 - f**3 + 5*f**3 - f**4 to w*f**3 + m*f + y*f**4 + c + p*f**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 23. Let b(t) = -2*t + 12. Is b(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 890 and 1240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 7*o + 6.\nAnswer: (o + 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(17)*-4*-4)*6)**2 + -3.\nAnswer: 137697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**6\/120 + v**5\/30 - v**4\/3 - 56*v**2 - 79. Let r(u) be the second derivative of z(u). Suppose r(d) = 0. Calculate d.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 26*g + 2. Let v be y(-26). Suppose -5*z = -5*x + 12 + 13, -4*z - 14 = v*x. Sort x, -2, 0, -4 in decreasing order.\nAnswer: x, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 2*b)*(3*b**3 - 22*b**2 + 8*b**2 + 13*b**2).\nAnswer: -6*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54161 = 2*a - 35427. Suppose -5*f + 11215 = v, v - 2*f = -3*v + a. What is v rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26113033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -161. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -16*p**2 - 10*p + 8. Calculate d(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) - (-166)\/6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1930\/(-40) - (-3)\/12. Suppose -48 = 4*h + 140. Is c less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 21805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 3*f - 3*f + (-5 - 7 - 4 + (-3 - 3 + 4)*(-2 + 5 - 2))*(f - 3*f + 3*f).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-5 - -1) - -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9131*i + 29*i**3 + 40*i**3 - 32*i**3 - 3741*i.\nAnswer: 37*i**3 + 5390*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 221603 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 3*n + 3. Let p be (-8)\/(-14) - (-90)\/14. Suppose 11*t + 16 = p*t. List the prime factors of d(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15*3\/18))\/(((-20468)\/43)\/14).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + (-32)\/16. Let l(n) = -8*n - 2. Let q = -42 - -60. Calculate the lowest common multiple of q and l(a).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 1. Let w be r(3). Let l be 11 + -10 - 1*w. Let o(b) = -b**2 + 28*b - 136. Let c be o(21). What is the highest common factor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -27*o**2 + 10 + 14*o + 19*o - 10 + 36*o**4 - 30*o**3 - 9*o**2 - 3*o**5 = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 3939*f - 1313*f - 1315*f - 1310*f.\nAnswer: -8*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 22*k**2 + k - 21. Let u be g(22). Let d be (0\/(-77))\/(u\/(-1)). Solve -l - 3*v = 4, 5*l + 0*v - 5*v + 20 = d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, f: 4, g: 2, t: 1, s: 1, z: 3}. What is prob of picking 1 s and 1 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrdroodddror. Give prob of picking 2 r.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v)**(-6\/7) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -14 - (100 + -104)) + -31?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.4 (c) -63 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9179 - -82609\/9. Suppose 5 = -3*x + 2*t + 27, -4*t + 26 = x. Find the common denominator of u and 0 - -1 - (-67)\/x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 - 21*l + 106. Give b(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75584380 divided by -170?\nAnswer: -444614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 5 = 75 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 28. Let o = h + 3. Which is the closest to o? (a) 0.3 (b) -4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 144. Let 3*x**3 + 31*x + 12*x**2 - n*x - 24 + 6 - 16*x = 0. Calculate x.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -430282, -430118, -429954, -429790, -429626?\n\"Answer: 164*m - 430446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 3*n - 6. Suppose 2*f + 15 = h, 0 = -5*h - 20 - 5. Let a be (-7)\/((-21)\/(-15)) - f. Determine t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36951.4441 and 4.\nAnswer: 36955.4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(225) + (sqrt(225) - (sqrt(225) - -1*sqrt(225))) - sqrt(225)))\/(5*(1*sqrt(5) + sqrt(5))).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 183, 1, -3 in increasing order.\nAnswer: -3, 1, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11251100 and 41404048.\nAnswer: 1035101200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1639452, -3278908, -4918364, -6557820, -8197276?\n\"Answer: -1639456*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 295 and -0.03628.\nAnswer: -10.7026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 0, -5, -2, -22001, 2, -3 in decreasing order.\nAnswer: 2, 0, -2, -3, -5, -145, -22001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75, -122, -167, -210?\n\"Answer: z**2 - 50*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/10)\/((-495)\/30 - -17). Which is the closest to 1? (a) -9 (b) k (c) 0.05 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/24 - m**5\/12 - m**2. Find the third derivative of o(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3234*c - 30250. Determine y(9).\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91607147911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/24 - 2*j**3\/3 - 5*j**2. Let a be i(-3). Which is bigger: a or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 2, 0.1, -0.5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 8. Let u be b(6). Is (-1 + u)\/((-1)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**7\/14 - 2*a**6\/5 - 39*a**5\/5 - 43*a**4\/2 + 51*a**3\/2 + 135*a**2 - 989*a. Suppose v(c) = 0. Calculate c.\nAnswer: -3, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(192) + 5)**2 + -3).\nAnswer: -1730 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008515 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let h = 2.09 - 0.09. Let i = 2 + 3. Put h, i, c in descending order.\nAnswer: i, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1 - 2 - -2). Solve s*d = 2*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10220, -82401, -278304, -659783, -1288692?\nAnswer: -2226885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -14. Let i be c\/22 + (-6)\/(-33). Solve -2*d + 5*k - 2*k = i, -10 = 5*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34930192 to the nearest integer?\nAnswer: 5910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Suppose 0 = 3*d + 6, 11*c + 4*d = 8*c - 14. Let q(j) = 2*j + 3. What is c*q(f) + 5*k(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 7*b**2 - 65*b + 28. Give r(-6).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = 5*j + 4*k, k = -3. Let h(f) be the first derivative of 200*f**2 + f + 71. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12066, 12082, 12108, 12144, 12190, 12246?\nAnswer: 12312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 94 = 5*w. Let b(i) = -45*i + 5 - 49*i + 126*i - 39*i + 3. What are the prime factors of b(w)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**36\/(a**(-1\/4)*a**(-1\/10)\/a*a*a) assuming a is positive.\nAnswer: a**(707\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 2*r**2 + 3*r - 3. Let t(x) = x**3 - x**2 - x - 1. Let j(s) = i(s) - 3*t(s). Solve j(n) = 0 for n.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x. Let c be w(-2). Let k be c\/(-2)*(1 + -2). Let a = k - -13. Solve f - 6*f = -a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127630469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let f be 8\/12*3\/w. Let r = f - -3. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v + 14*v - 46*v + 8*v + 7*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnknznnznhhnrzrnnrz. Give prob of sequence znr.\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 15423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dc - 30?\nAnswer: -21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*q - 2, 5*n = -4*q + 2*q + 24. Let j = -4433\/30 - -431\/3. What is the common denominator of j and -1*83\/q - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6138304 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 94.1. Let m = n - 99. Let t = -4.7 - -4.2. Which is the third smallest value? (a) -4 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*y - 3*y - 160 + 250 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -46\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 6*s - 5. Let u = 63 + -46. What is the remainder when y(-6) is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 - 3*b - 10. Let a be s(8). What is the units digit of 5\/a*-82*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 128799?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 + -33.\nAnswer: -33.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.12092ml to litres.\nAnswer: 0.06712092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + 20)) + 70 + (-7 - 63)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47156 (base 9) in base 12?\nAnswer: -16273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxstsdtpssdbsttt. What is prob of picking 1 d and 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 8, l: 1, f: 1, z: 1, y: 7}. What is prob of sequence zf?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 329?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/6 + w**3\/2 - w**2 + 2*w - 1. Let p(g) be the first derivative of u(g). Let r(t) = t**2 - t + 1. Give p(o) + 3*r(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -17, 208?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**6\/360 - l**3\/3 + 3. Let u(d) be the third derivative of f(d). Let i(k) = -4*k. Give i(u(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**31)\/q*q*q\/((q\/q**30)\/q))**(5\/3))**(-24\/7) assuming q is positive.\nAnswer: q**(-2560\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, -2\/13, 90\/11, 5, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2*w**2 + 104*n**2 + 2*n*w + 2*n - 73999*w**2 + 483 wrt w.\nAnswer: -4*n**2*w + 2*n - 147998*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 12*t + 10. Let d = 23 - t. Solve -20 = -4*c - 0*c, -d = -3*m - 3*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqqz when four letters picked without replacement from {n: 1, z: 4, r: 1, e: 6, q: 6}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2939.8 - 2939.7752. Which is the second smallest value? (a) -0.1 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22637952 - -0.5?\nAnswer: 22637952.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2703 + 2723. Suppose -2*t - 160 = 3*t + 5*l, 0 = -4*t - 5*l - 131. Let p = -9 - t. What is the smallest common multiple of p and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - u - 3, 5*u - 3*u = k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 7. Let q be h(5). Factor 5*p**2 + p - 3*p**q - 3*p.\nAnswer: 2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 2, e: 2, c: 2, k: 1}. Give prob of sequence ebq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1465 + -850. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3)\/(1\/(-221)). Suppose k + 2*t - 23 = -2*k, -4*k + 5*t = 0. Suppose 0 = 4*d + k*i - p, -3*d + 2*i = -59 - 101. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 21. Let d be 1 + 68 + q - 1. Suppose d = 4*b - 122. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.2 + -22.48. Let c = w + 6. What is c rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 459*z = -12116 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/134 and 25\/18.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 > -1444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(104) + (sqrt(104)*-2 - sqrt(104)) - sqrt(104))*6)\/(sqrt(48)\/(sqrt(36)\/sqrt(6)) - 4*sqrt(8)*3).\nAnswer: -144*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21797*m**3 + 200*m - 21953*m**3 - 74*m.\nAnswer: -156*m**3 + 126*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0*s**6 + 0 + 1\/105*s**7 - 19*s**2 + 0*s + 7\/30*s**5 + 1\/12*s**4 - 1\/6*s**3. Find the second derivative of x(o) wrt o.\nAnswer: 24*o**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, l: 7, s: 1, j: 3}. What is prob of sequence tsj?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 9, f: 4}. Give prob of picking 1 f and 1 b.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 24*b**2 - 25*b**2 - 38 + 65 + 53*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-11)*(-495)\/540. Let r(v) be the second derivative of -u*v**4 + 0*v**3 + 0*v**2 + 0 - 2*v. Let p(z) = -8*z**2. Calculate p(r(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 11*u - 11520. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -19*w - 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.118338865 to three dps.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*g - 3 + 17 = 0, -3*c - 2 = -4*g. Let t(k) = -k**c - 1 - 4*k + 0 + 2*k. Let m(o) = o**3 - 4*o**2 + 2*o - 9. Let l be m(4). Calculate t(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -18\/23 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3477 (base 10) to base 14\nAnswer: 13a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*5 + 3*(sqrt(95) - (sqrt(95) + sqrt(95) + -1*sqrt(95)) - sqrt(95)))\/(sqrt(495)\/(3*sqrt(11))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 2*d - 1 + 5 + (-2*d + 1 - 1)*(4 + 0 - 2) - 21*d + 100*d + 30*d to v + s*d and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 5 = 0. Let u = 9 - r. Suppose -u*d + 35 = d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 739831260 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + 0.2. Let r = -0.49 + u. Put r, 1.1, 0.1 in ascending order.\nAnswer: r, 0.1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4 - (-24 - -11) - 10) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 2*a. Let y(n) be the first derivative of -4*n**3\/3 - 9*n**2\/2 + 8. Let g(k) = -9*q(k) + 2*y(k). Let x(f) = 21*f. Calculate g(x(j)).\nAnswer: 441*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 199389 = 4*a + 190191, -4*a + 97420 = -f. Round f to the nearest one thousand.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:34 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3*o, 2*h = 15 - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(3\/(-14) - ((-11)\/(-11) + -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 985390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/64160998 and 83\/2?\nAnswer: 64160998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3772\/13 + -290. Which is the biggest value? (a) j (b) 1\/2 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - -85. What is the remainder when p is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-366)\/14945*(-21)\/(-9))\/((-1)\/(-385)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150429811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/2 + -37\/5. Find the common denominator of s and -31\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 32, 3 in increasing order.\nAnswer: -3, 2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p*p\/p**(-1\/3))))**(-11\/7)*(p**(-2\/3))**22)\/(((p\/p**(2\/11))\/(p\/(p\/p**3)))\/(p**(-1)*p*p*p**2)) assuming p is positive.\nAnswer: p**(-3401\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 6*q - 5*q - q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 1518, 3378, 5984, 9336?\nAnswer: 13434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 4 + 5)*(0*m + m**3 + 0*m).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62022951031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488141.\nAnswer: 3, 165349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*v - 2 - 235*v + 2 as z + b*v and give b.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10405, -41614, -93623, -166420, -259993?\nAnswer: -374330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - 29*g**2 - 15*g + 4. Give u(-10).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlo when three letters picked without replacement from lvnnyononnvvo?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/18)\/((-4)\/(-18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 255466703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2507 and 506.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56250 + 1?\nAnswer: -56247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 16*a**2 - 7*a**2 - 8*a**2 + 2. Let i be n(0). What is r in 3*r**i - 17*r + 14*r + 0*r**2 + 3*r**3 - 3*r**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6864846 and 27459383\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3147 (base 11) to base 7\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Calculate the remainder when 1062 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -97. Let s = 34 - a. Suppose 0 = 3*c - s - 31. Calculate the remainder when 47 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -294\/31, -1\/81, 3, -3, -0.01, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 23114040?\nAnswer: -23114034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-69)\/(-72) - -9.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -25.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 2 g when four letters picked without replacement from gjzwjzgw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70171554?\nAnswer: 2, 3, 229, 51071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 9094.775?\nAnswer: -909.4775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + 8*f + 6. Let i be q(-1). Solve -n + i = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43, 222, -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(405) + sqrt(405)*-1)*-2 + (0 + (4*(-1 + sqrt(500)) - sqrt(500) - sqrt(500)))*-3)**2.\nAnswer: -1440*sqrt(5) + 18144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*x = -6*x + 44, 16 = -7*k - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11833971 is divided by 11467.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:14 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11426699.\nAnswer: 23, 496813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48578005.\nAnswer: 5, 7, 1387943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*q**2 - 230 + 69 + 88 + 73.\nAnswer: -254*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1295*t + 20*t + 22*t)*(t - 2*t + 2*t)*(1 + 4 - 4) + (2 + 0 - 3)*(t**2 - t + t).\nAnswer: -1254*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/5 + 111*b**4 - 27024*b**3\/5 + 125832*b**2\/5 - 39312*b + 19440 = 0.\nAnswer: 1, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4873951, 4873965, 4873979?\n\"Answer: 14*n + 4873937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*y + 31534, 7*y - 11*y + 10506 = -n. Round n to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255978329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - 9. Let n = f + 150. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w + 17. Let m(v) = 74*v + 84. Let n(l) = 2*m(l) - 11*u(l). What is the first derivative of n(i) wrt i?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202123010010 + -211?\nAnswer: -1202123010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -2 (c) 0.1 (d) -0.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(1 - 1 - 1)*(33*c + 248 + 261 - 507) as f*c + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 11. Let p be j(-9). Let o = -7 - -29. What is the least common multiple of (72\/120)\/(p\/20) and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742904?\nAnswer: 2, 92863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 195971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + o + 93, -5*o - 39 = -3*q - 10*o. Calculate the lowest common multiple of 3798 and q.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8 + 6*f**2 + 2*f + 2*f + f**3 - 2*f**3. Let d be n(6). Let r = d + -12. Solve 0 = -0*u + r*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -91, -3, 2\/7 in ascending order.\nAnswer: -91, -3, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18639933.\nAnswer: 3, 13, 477947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -50, -145, -330, -635?\n\"Answer: -5*j**3 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, -7, 4 in descending order.\nAnswer: 4, -5, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 + 7*v - 6. Suppose 0 = 4*r - x - 27 + 2, 0 = -4*r - 5*x + 19. Let k = r + -2. Calculate y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:37 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 73*y**2 + 1219*y - 16. Give x(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g - 2 - 10*g + 89*g + 35*g to the form m + h*g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 1. Let a be j(1). What is the units digit of (-21)\/(-15) + (-2)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 42*p - 1239. Calculate h(29).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(511\/(-175) + 3). What is the second biggest value in c, -1, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*t + o + 10, 0 = -5*t + 5*o + 70. Let n(g) = -g + 13. Let h be n(t). Suppose -h = -y - 0. Put y, -0.1, -4, 5 in ascending order.\nAnswer: -4, -0.1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 5*p + 11. Let k be (-96)\/(-14) + (-90)\/105. Let m be d(k). What is the highest common divisor of 629 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15604479?\nAnswer: 3, 11, 163, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 126*b + 2. Let p(n) = 255*n + 4. Determine -3*p(l) + 7*w(l).\nAnswer: 117*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 - (-208)\/24)\/((-2)\/21876)?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*k = -5 - 33, 213*k - 266*k = -5*m + 434 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 5. What is the remainder when (6 + -11)*7*(-24)\/15 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -7)\/((-2)\/6). Suppose -3*q + k = -9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 642, 517, 348, 129?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -16905 (c) -0.1 (d) 0.033 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32cb3d (base 14) in base 6?\nAnswer: -100552055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/(-36)*-3 + (-1)\/4. Solve -4*f + 5*h = -5*f - 7, -4*h - w = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 2*h**2 - h + (3 + 6 - 5)*(-h**2 + h**2 + h**2))*(4*h - 4*h - 2*h) + 0*h**2 + 0*h**2 - h**3 to l*h**3 + s*h**2 + t*h + i and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 64?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/6 + 33*d**2\/2 - 22*d. Let m be v(4). What is the second derivative of -11*u + m*u**5 - 788*u**2 + 788*u**2 wrt u?\nAnswer: 580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 5*k + 4. Let g be s(4). Suppose 4*b - 28 = -5*o + 3*o, -4*o = 2*b - 20. Suppose g*f + b = f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2 - d + 1. Suppose -5*m = -s + 9 + 4, -16 = -4*s + 2*m. Let u(o) = o**2 - 1. Let g(w) = s*c(w) + 3*u(w). Factor g(n).\nAnswer: 3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2, -4*k - 3*g - 20 + 103 = 0. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*-6*sqrt(102)*-3)\/((sqrt(216)*2 + sqrt(216) - sqrt(216))*-6) + -3)**2.\nAnswer: 3*sqrt(17)\/2 + 161\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 49*q + 245. What is r(-5)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b7dddb - 13?\nAnswer: -1b80010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 8433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -21. Suppose 0 = -u - 7*t + 2*t + 167, -4*u = -g*t - 793. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 3. Let o(p) be the second derivative of -p**5\/20 - p**4\/2 + 3*p**3\/2 + 9*p**2\/2 - 2*p. Let n be o(-7). Does 6 divide v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24581 by 6.\nAnswer: 24581\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 15, u: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47664 is divided by 23829.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 10*x + 18. What is g(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -40.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 33, -2\/15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221220020 + -1020120?\nAnswer: -2000010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/1465 - -191909\/4395. Suppose 327*w - 318*w + 396 = 0. Let j = b + w. Sort 2, j, 9.\nAnswer: j, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2.19, 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005659 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*f**2 + 186*f**2 - 611*f**2 + 88*f**2 + 109*f**2 + 4.\nAnswer: -142*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - 13. Suppose -2*n = v*o - 28, -23 = -0*o - 3*o - 2*n. Suppose 11*l**5 - 2*l**4 - 3*l**3 + 5*l**2 + l**3 - 3*l**2 - 9*l**o = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 5\/(10\/2178). Let t be (-4)\/10 + k\/30. Calculate the highest common factor of 24 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j. Let b(w) = 135*w. Determine -2*b(q) - 55*v(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -a7?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7125733.\nAnswer: 617, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 16, 4, 1, -2 in ascending order.\nAnswer: -2, 1, 4, 16, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/10 - (-18)\/45. Suppose 100 = 5*v - m*w, -v + w - 67 = -5*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001111100110 (base 2) to base 6.\nAnswer: -1435514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, y: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/sqrt(704) - sqrt(132)\/sqrt(150))\/(-5*6*(sqrt(84)\/sqrt(7))\/sqrt(6)).\nAnswer: sqrt(11)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777219 is divided by 1153.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (300\/(-675))\/((-126)\/(-6237))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.06823 litres to millilitres.\nAnswer: 69068.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1010331?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1035, 1014, 993, 972?\n\"Answer: -21*g + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96)\/sqrt(4) + sqrt(1176)*2 + sqrt(24))\/((sqrt(2) - sqrt(50))*2 + 5*(sqrt(4)\/sqrt(2) + sqrt(2))).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 - 3*v**2 + 48*v - 7. Let f(m) = -m**2 - 14*m + 108. Let t be f(6). Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102816 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -509432*v**3 + 22*v - 68686 wrt v.\nAnswer: -3056592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/124264 and -23\/201880?\nAnswer: 63995960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**1)**(-3\/19) assuming h is positive.\nAnswer: h**(-15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 83519.42 milliseconds?\nAnswer: 83519420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8778*i - 2 + 2 + 8783*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 9417956 + 2*i**2 + 9417956 - 2*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 23*w - 90. Let r be a(18). Suppose 11*b + 1027 - 4008 = r. What are the prime factors of b?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8. What is the third derivative of z**2 + 8*z**2 + g*z**4 + 6*z**4 - 3*z**2 wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - k + 837 = 0, -12*k = -2*s - 16*k + 1670. Let l = s - 158. Is l a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3028878ug?\nAnswer: 0.0003028878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -712 - -720. Suppose 0*l = -2*l + 3*g - 12, -2*g = -s. Let u = 4492 + -848990\/189. Is u <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 19*k**2 - 5*k + 30. What are the prime factors of y(20)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 604 + -607. Let q = 2.07 + -0.07. Let m = 0 - 2. Which is the third biggest value? (a) q (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 12.7\nAnswer: -25.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 95. Is h smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(297)\/(sqrt(11) + sqrt(44)) + sqrt(27))*-2 + 4*sqrt(972)*1).\nAnswer: 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 26*t**2 - 2064*t + 10406. Give y(74).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k**3 + 12*k**2 - 15*k + 3. Let y(q) = -5*q**3 - 4*q**2 + 5*q - 1. Let v(n) = -11*y(n) - 4*z(n). Let p be -2*(-4)\/(-2) - 1. Calculate v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*l + 518*l = 4322120. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) + ((-65)\/4)\/(-5). Suppose b + 2*q = 3 + n, 0 = -2*b - 3*q + 12. What is the highest common factor of b and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 1, d: 2}. What is prob of picking 1 v, 1 a, and 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2071637877 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 98020000 to the nearest one million.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 - s + 1. Let v be k(1). Let o be -7 - -8 - (1 - 0). Solve o = q - v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -25. Suppose 36 = -z*c + 108. What is the remainder when 32 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5)\/10 - (1 + 6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {w: 6, e: 2, a: 1, c: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -873\/7 - -125. What is the closest to -2\/5 in 0.06, z, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 47. Calculate c(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.134079*4\nAnswer: 0.536316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 55232500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 = m, 2*m + 4*x - 55 = 3*x. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -168821110808023\nAnswer: 168821110808027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1937 and -983.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfmf when four letters picked without replacement from {h: 1, m: 1, f: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 3351?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r - 61*r + 505 = -2879 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100177912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4217 (base 11) in base 2?\nAnswer: -1010111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 29*h - 97. Let a be g(17). Round a to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 2 = 66. Let j be 3 + (-104)\/u*(-2)\/12. What is the nearest to -0.2 in j, -3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - 0. Let j = f + 28.4. Let y = -1.5 + j. Round y to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 - 25*g. Let m(y) = 2*y. Determine d(m(c)).\nAnswer: -52*c**2 - 50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(-2)*30\/45.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -458276, -916474, -1374670, -1832864, -2291056, -2749246, -3207434?\n\"Answer: u**2 - 458201*u - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/25 at least 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-8))\/(-3) + ((-378)\/6)\/(-9)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 17 = p + 3, 2*a = 4*p + 24. Let x be 16\/(-6)*(a - 49). Suppose 0 = -3*f - 18 + x. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (1 + 1 + 1)*(-2 + 6 - 1) + 0 - 1 + 4 + 6 - 4 + 0)*(-3*x**4 - x**4 + x**4).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1830.7*-10.\nAnswer: 18307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(30\/6*-1 + 71\/14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 3. Let j = 8.84 + q. Let f = -0.125 - j. Round f to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12118 - 5857. What are the prime factors of q?\nAnswer: 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.29101, -26, 3 in ascending order.\nAnswer: -26, -0.1, 0.29101, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515542.\nAnswer: 2, 17, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00099646578 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -927710607.\nAnswer: -927710607.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8647\/5, 7.1, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d - 120871 - 328679 = 0. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11922778*b**5 - 198*b**2 + 14632 wrt b?\nAnswer: -715366680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4947782.8 rounded to the nearest 1000?\nAnswer: -4948000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*n - 278 = -82. Sort -2, -5, 5, n, -4 in increasing order.\nAnswer: -5, -4, -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1290, 14, 8, 5, 0 in decreasing order.\nAnswer: 1290, 14, 8, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-10)*y**(3\/7))**(16\/3)*((y\/y**3)\/y**(-1))**(7\/3) assuming y is positive.\nAnswer: y**(-1009\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/2)*c\/c**8*c*c*c\/c**6*c**0*(c**(2\/3)*c)**(-4\/5)*(c**(1\/4)\/c)**4 assuming c is positive.\nAnswer: c**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44210 (base 11) to base 10.\nAnswer: -64141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57 - -55)\/((-2)\/6). Solve 18 - b = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/78 - -6*(-10)\/(-390).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from kkukuukkuuuuwuwkku?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 5*q**3 + 31*q**3 + (-14 - 11*q**2 + 14)*(2 - 2 + q).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/7 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 29974 divided by 174\nAnswer: 14987\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 14*d - 15*d**3 + 5\/336*d**8 + 0 - 5\/21*d**7 + 7\/3*d**5 - 35\/24*d**4 - 2*d**2 + 1\/4*d**6. Find a such that o(a) = 0.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, p: 1}. What is prob of sequence pb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(147) + -2 + sqrt(147))**2 + 3.\nAnswer: -56*sqrt(3) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1180507989*y**2 - 853334742*y.\nAnswer: 2361015978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*t + 10, 5*t + 5*b - 9 = 6. Let n be (1 + t - 1)\/(-1). Let f be ((-2)\/(-5))\/(18\/(-10)). Is f at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13202 (base 4) to base 2.\nAnswer: -111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1034 and -14\/4653.\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from nnmmmmmmm.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02 times -685.1?\nAnswer: 1383.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 181*m + 3910. What is the remainder when 10135 is divided by t(-21)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**2 + 14*o**2 + 9*o**2 + 9*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 419?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7010 - -7280. What is the greatest common divisor of 160 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4393025*m**2. Let z(i) = 9*i. What is z(c(u))?\nAnswer: -39537225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1864, -7569, -17274, -31141, -49332, -72009?\n\"Answer: -27*x**3 - 1838*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 246. Let g = 98 + t. Is 62 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.523 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1785350, 7141395, 16068114, 28565489, 44633502?\nAnswer: 64272135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -86, -79, -72?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3360 + 3360 - 79*i + 92*i**3 wrt i?\nAnswer: 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d8b9 + 24?\nAnswer: d8dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, 0.3, 3\/4, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1229948 and 736?\nAnswer: 9839584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lulpl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 100\/53?\nAnswer: 100\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2171, -13609, -41701, -93833, -177391?\nAnswer: -299761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:48 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 + -93 + (-36 - -63)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 + (11 + -14)*(-4)\/3. Suppose -v - 4*g + 10 = 0, -8 = 3*v + 2*g - 68. Solve 5*h = k - o, -5*k - 5*h - v = -2*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 8*o**2 - o + 14. Let g be r(-6). Let b = g + -145. Calculate the highest common factor of 513 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:13 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23394 and 0.05.\nAnswer: -1169.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 1736?\nAnswer: 1736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-2)*(-2)\/(-20). Let k = -3.11 + 3.05. What is the third biggest value in k, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 54330*i - 1574724. What is k(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 1:37 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.41. Let s = -0.08 + w. Suppose -l - 11 = -10. Which is the nearest to l? (a) 2 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998\/24 + (-2)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3 + 7 + a - 1. What is the units digit of u(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12721.3 + 12721. Let l = -7 + 13. What is the third biggest value in 0.05, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -369 + 376. Let c(j) = j + 29. Is 12 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781208, 3562426, 5343644, 7124862, 8906080, 10687298?\nAnswer: 12468516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 1:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30907688 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 14372 is divided by 772?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 112, 1, 2\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -580507, -580505, -580501, -580495, -580487, -580477?\nAnswer: -580465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -925783\/38 - -24361. What is the common denominator of -41\/114 and u?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6370 = 49*a + 30*a + 21*a - 930 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and 366.\nAnswer: -12078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 46 = 22. Let a = k - -21. Suppose -3*r + 10 = 2*r. Calculate the highest common factor of r and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/25 + 1\/25. Which is the third smallest value? (a) -2 (b) i (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/3, 5\/3, -7?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Let n = 0.006 + 0.294. Which is the third smallest value? (a) q (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192599 is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + z = -2*v - 3, -2*v = 2*z + 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109210.\nAnswer: 2, 5, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 97500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.52 + 3.59. What is h rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 540 = 36. Suppose -3*w - 87 = -s. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97297 and -7.\nAnswer: -681079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-21 + 5 - -6 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Suppose -l = 6 + 2. Let t = l - -10. Let n(d) = 6*d**2 + 7*d**t - 3*d**2 - 5*d**2. What is c(n(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182951*h**4 + 5*h**3 - 4*h**2 + 10203045*h - 2?\nAnswer: 2195412*h**2 + 30*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 9 + 1)*(n**2 + 3 - 3) - 7*n**2 - 7*n**2 - 11*n**2 + (0*n - 3*n + 0*n)*(n - 2*n + 0*n).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, s: 4, h: 9}. Give prob of picking 1 h and 2 u.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2739 - 8?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - (-14 - -21)) + -6. Sort -2, n, 2 in descending order.\nAnswer: 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 + (-48)\/51). Let v = -3 - m. Calculate the remainder when 44 is divided by 91\/4 + (-5)\/v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 3*f + 4. Let i be k(-3). Suppose 16 = -0*r + i*r. Differentiate 0*w**4 + 0 + 1 - 2*w**r with respect to w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1390\/(-600) - 50\/(-750).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 5*h + 6. Suppose -2*y + 10 = 2. Suppose -3*v - 3*p = -8*p - 48, -y*v = -p - 64. Calculate the smallest common multiple of r(-7) and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 9*h**5\/100 - h**4\/20 - h**3\/6 - h**2\/10 - 5*h + 8. Let f(b) be the first derivative of n(b). What is a in f(a) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*c + 3*c**3 + 3*c**3 - 21*c**3 - 13*c to d + t*c**2 + h*c**3 + w*c and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.15 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 10)\/(1\/(-1)). Suppose -m = -4*l - j*m + 26, 0 = 5*m - 5. What is the third derivative of 0*g**2 - 12*g**6 + 2*g**2 + 15*g**l wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**6\/120 + q**5\/20 - q**4\/6 + 40*q**2 + 55*q. Let i(r) be the first derivative of b(r). Give i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:52 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 c when four letters picked without replacement from {p: 7, c: 12}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*j**3 + 3*j**2 - 4561*j?\nAnswer: 582*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/47, -6\/55, -281, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -93703218 divided by 7?\nAnswer: -13386174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1467 + 0.0196.\nAnswer: 4.1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 163*w**2 - 47*w + 33. Let z be u(6). Calculate the greatest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 177 = -2*c - 15, 0 = y + 3*c - 83. Let k = 207 - y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694360.5nm to centimeters.\nAnswer: 0.06943605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 561536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**5\/60 + 5*r**4\/24 - 5*r**3\/6 - 2*r**2. Determine q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.5 + 455.5. Let n = 400 - o. Is 2\/37 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maxxamatmaamtammma. What is prob of sequence tmmt?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*b**2*i**2*y**2 - b**2*i*y**3 + 3*b**2*y**3 + 48*b**2 + 212*b*i**2*y**3 - 2*y**2 wrt i.\nAnswer: -22*b**2*y**2 + 424*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + j**2 + 2*j**2 + 2*j**4 - j**4 + 5*j to the form p + s*j**4 + r*j**2 + t*j**3 + d*j and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176))**2*-4 + -5 - (0 + sqrt(704))*-4.\nAnswer: -709 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4631\/3 + 1527. Let x = -16 - l. Let s = 0.2 - -0.3. What is the nearest to x in -5, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6140 + 3160 = 5*u. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d - 1. Let g(b) = -b. Let j(n) = -2*g(n) + w(n). Is 17 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 18, e: 1}. What is prob of picking 3 p and 1 e?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.867176 rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 1005565.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 25*g**2 - 50*g - 58. Give u(-14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**8\/15680 - l**7\/5880 + l**4\/2 + 10*l. Let z(u) be the third derivative of o(u). Factor z(p).\nAnswer: -3*p**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12) - (-3 - -3)*-1. Factor 3 - 2*x + w*x**2.\nAnswer: (x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-1127)\/276) + (-1)\/3. Which is the nearest to -0.02? (a) -3\/2 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 - 4*d**2 + 3*d + 3. Let q be b(10). Let w = q + -61920\/11. What is the common denominator of w and 31\/122?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11) + sqrt(176) + sqrt(11) + sqrt(11) + 1 + 5)**2 + (1*sqrt(132)\/sqrt(4))\/sqrt(3).\nAnswer: 43*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1645, 1637, 1625, 1609, 1589?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2142\/65 - 431\/13. Which is the smallest value? (a) 0 (b) -4 (c) l (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -12*s - 1440. Let q be j(-120). Let o(h) = -h**3 + 3*h**2 - 2*h - 11. What is o(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1260 - -1254.09. Let u = -6.04 - v. Which is the closest to u? (a) -1\/3 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 - -10020?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 6. Let i(q) = -3*q + 11. Let x(c) = 2*i(c) + 5*t(c). Suppose 10*s - 5*o = 6*s + 5, 3*s - 4 = 4*o. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157 or -1990?\nAnswer: -1990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*f + 4*f = 6, 2 = 3*r - 2*f. Does 6 divide (-3)\/r*(6 - 18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111111 (base 2) in base 5?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -22, -45, -84, -145, -234?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*f + 80 = 0, -40 = -l - 0*l - 3*f. Let n be 64\/6 - (-16)\/(-24). Calculate the highest common divisor of l and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 219*d + 439*d - 221*d.\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r - 6*r + 3*o + 26, 2*r = -158*o + 160*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 32*a + 9. Let t be o(-14). Suppose 0*x = -3*y + 2*x - 386, x + 132 = -y. Let m = y + t. What are the prime factors of m?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 2*v - 4. Let g be s(4). Calculate the greatest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4752565 and 135.7291.\nAnswer: 4752700.7291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -201, -330, -455, -582, -717?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 = -2*s. Let d be (s\/(-2))\/((-1)\/8). Suppose 0*b - 5*b + d*o + 38 = 0, 5*b - o = 47. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462829283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15473*l + 15504*l = -2418 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674563933?\nAnswer: 3, 891521311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1968974 and -133\/12.\nAnswer: 11813844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let h(p) = 4*p**2 - 4*p + 1. Let t(z) = -h(z) - 2*j(z). Let g be t(1). List the prime factors of g*(0 + -2 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (-56 - (-13 + -7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/2 - 222305*l**2\/6 - 74101*l\/3 = 0. What is l?\nAnswer: -74101, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1679 at most -1672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + -1 + sqrt(1331)*-5 - 6*(2 + sqrt(176)*-5)**2.\nAnswer: -26425 + 426*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, 79, 111, 157?\n\"Answer: 7*z**2 - 3*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -144, -171, -198?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 + 98 + 19*w)*(-144 + 40 - 36).\nAnswer: -2660*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1. Let n(h) = 21*h - 5. Determine 4*c(z) - n(z).\nAnswer: -21*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 88075929 divided by -5\nAnswer: -88075929\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2705 + -1590. Suppose 0 = -4*a - 0*a - t + 2233, 0 = -2*a + t + f. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/9)\/5*(-4)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8653752 is divided by 879.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.333, 7, 13.4, -10?\nAnswer: 0.333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 197*p - 263. Let y(b) = 16*b + 1. Let a(d) = -l(d) + 6*y(d). Differentiate a(u) with respect to u.\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/4 + 17*k**3\/3 - 21*k**2\/2 - 19*k - 6. What is the tens digit of x(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44784 + -44782. Factor -16\/11 - 2\/11*l**p + 20\/11*l - 2\/11*l**3.\nAnswer: -2*(l - 2)*(l - 1)*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2306216, -2306205, -2306194, -2306183?\n\"Answer: 11*y - 2306227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7738, -15574, -23412, -31258, -39118?\nAnswer: -46998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.55 (b) 0.3 (c) -1\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 9. Let z = 35 + -33. Let g be n(z). Suppose -5*m - 6*p + 4*p = -524, -3*m + g*p = -333. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/120 + 3*f**5\/20 + f**4\/2 - 11*f**3\/3 - 13*f**2 + f - 7. Give x(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 - u - 3. Let k be c(3). Let t be 68\/(-51)*k\/4. Find the second derivative of -13*w + 2*w + t*w + 2*w**3 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 0.4, -1\/6, 0.3.\nAnswer: -12, -1\/6, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 23*v**2 + 2*v**2 - 4*v**4 + (-9*v**4 + 11*v**4 + 9*v**4)*(3 + 1 - 2) in the form a + n*v + d*v**3 + i*v**2 + r*v**4 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 5, z: 4, x: 3, e: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 0, 0 = i - 2*h - h - 38. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 + 1\/30*b**5 - b**4 - 13\/3*b**3 - 4*b**2 - b. Factor p(a).\nAnswer: 2*(a - 13)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3429575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/33)\/m))\/(m\/(m*m\/(m**(3\/4)*m)))*((m\/m**(3\/13))\/m)\/m**(1\/2) assuming m is positive.\nAnswer: m**(787\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17858192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59.971701 and 2396272.\nAnswer: 2396212.028299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 8) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose 5*q = z + 2*q - 110015, z - 110010 = w*q. What is z rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5 = -27 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 147. Let t = n + -48. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 1 + 2 - 7*n**3 - 13 + n + 11 to the form s*n**3 + c*n**2 + u*n + t and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1385, 5910, 13447, 23996?\n\"Answer: 1506*d**2 + 7*d - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -388, -774, -1160, -1546?\n\"Answer: -386*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (275\/75)\/((-528)\/(-7776)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 o = -0.45 - -1.45. Let t = -0.01 + 4.01. Which is the nearest to -1\/2? (a) o (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1612 + 1611.7. Which is the closest to h? (a) 2\/9 (b) -2\/5 (c) -2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 2*j + 1. Let z be a(1). Suppose l - 5*p + 5 = z, 5*p = -3*l + 6 + 39. Calculate the remainder when 2\/4 - 110\/(-4) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:14 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4233 greater than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.028 - 26.972. Let s = 12 + j. Let y = 15.1 + s. Which is greater: -14 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssssyhsv. Give prob of sequence hy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1346 less than -45785.7728?\nAnswer: -45785.6382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 1083 = 30*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3995, 8005, 12015, 16025?\nAnswer: 20035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 77 + -6 + -72.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2022 - -2060. What is the greatest common divisor of 78 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 411 = 5*u. Suppose u + 217 = 2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/40*348\/(-522)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, q: 2, d: 3, a: 2, s: 7}. Give prob of picking 1 d and 2 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrfv. Give prob of picking 2 v, 1 f, and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:36 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 20. Let i be (g\/(-6))\/(9 - 10). Which is the biggest value? (a) i (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/((-20)\/(-18)). Let s be (4\/(-6) - (-3)\/(-9))*(50 + -49). Which is the closest to -1? (a) s (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 + a + 2. Let o(h) = -4*h**2 - 2*h. Let b be o(-1). Calculate the remainder when j(b) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/485 and 39\/189985.\nAnswer: 18428545","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2) + 3*7\/6. Suppose -14*a = -12*a + g. Does a = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 1\/(-2))*2. Let q(h) = 2*h**2 + 11*h - 8. Calculate the remainder when 22 is divided by q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268.81253 - 0.\nAnswer: -268.81253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5 - ((-6006)\/(-55))\/(-26)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5286.287 centuries to months.\nAnswer: 6343544.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9525 is divided by 2222?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24655704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 31004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose -2*o + 11 + p = -3*d, 50 = 5*o + 5*d. Solve o = 5*u - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2968 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -r + 14 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 568457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u + 72*u - 12 = 2*m, u + 5*m + 27 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2 - 144*d + 73. Calculate u(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, e: 4, q: 1, t: 5}. What is prob of picking 1 f, 1 u, and 1 t?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -37, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(-138257 + 138257 - 715*s)*(0*s - 2*s + 0*s).\nAnswer: -1430*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.699442 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14363?\nAnswer: 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1. Let b(r) = 119*r + 6. Give -3*b(z) + 15*o(z).\nAnswer: -357*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 270 and -0.3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Let z(c) = -4*c - c + 3*c**2 - 3575 + c**3 + 2*c**2 + 3572 - 3*c**2. What is the smallest common multiple of z(y) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 162 and -18346.\nAnswer: -18184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 9*o - 26977*o**2 + 26980*o**2.\nAnswer: 3*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3760*l + 3754*l - 30 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/13 + 450*z**2\/13 - 33750*z\/13 + 843750\/13 = 0 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6023101 (base 7) to base 16.\nAnswer: -adc5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/66 - (-6)\/(-9). Let d = 61 - 65. Let z be d*(-1)\/6 + (-13)\/(-39). Which is greater: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 1\/2*a**2 - 2*a - 2. Give b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 0 - (-2 - 0). Let x(o) = o**2 + o**2 + 0*o**c. Let a(j) be the third derivative of -j**4\/8 - 3*j**2. Calculate x(a(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 1.8 (c) 1\/6 (d) 0.3 (e) -247 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2057) + -2 + -4)*6.\nAnswer: -72 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.7 - -61. Let v = q + 2.629. What is v rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10024.425 + 9994. Round y to zero decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*g**2 + 865*g**3 - 36*g**2 + 86*g**3 - 222*g**3 + 397*g wrt g?\nAnswer: 4374*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36080225 is divided by 141491?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295315.\nAnswer: 5, 59063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/35*1)\/(6\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*i + 3, -i - 5*n - 15 = 3*i. Suppose 0 = -3*h + 11 + 1. Suppose 2*a - 63 = -5*z, i = -0*z - z + h*a + 17. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6760 and 208?\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60451755?\nAnswer: 3, 5, 7, 13, 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*m + 0 + 4 - 716*m - 9 + 0.\nAnswer: 9*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444 (base 7) to base 2.\nAnswer: -11100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5\/6 + 235*f**4\/6 + 3095*f**3\/6 + 7925*f**2\/6 + 3740*f\/3 + 1210\/3 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 7*z - 43)*(110*z - 73*z - 61*z)*(z**2 + 2*z**2 - 6*z**2) to the form j*z**3 + g + k*z + s*z**2 + q*z**4 and give q.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 - 534 = 58*t - 266 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 9:09 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0 + 0)*(2*j - 3*j - 2*j) + (4*j - 6*j - 2*j)*(0*j - 3*j + 4*j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**2 + 3*w - 1. Let p be t(2). Let y = 31 - 26. Suppose 3*g - p = -c, 0*c + 2*g = y*c - 219. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h + 32*h - 41*h - 90*h + 36*h.\nAnswer: -134*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(16\/80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndeesrrerd. Give prob of sequence sdee.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*d + 8 = 2*h + 315*d, -h - 3*d = -8. Solve -h*w = -5*j + 23, 7*j - w - 7 = 6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, 14 in decreasing order.\nAnswer: 14, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(20\/(-3) + 1). Suppose 5*w + 4*b + 1 = 0, w + b + t = -4*b. Suppose 55*u - 15*u + 60*u = 200. Solve w*s = -u + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408977278 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 5.1. What is the closest to -2\/5 in 0.2, 4, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -94 (b) -1 (c) -1.3 (d) 0.04 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.121 - 5.879. Which is the second smallest value? (a) f (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -106681.\nAnswer: -85344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419.8827064 + -11939956772.8827064. Let c = -11939955963.99999195 - q. Let w = c - 389. What is w rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100 + 3*m**2 + 3*m - 3*m - 1100 - m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 9) in base 14?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-16) - ((-106)\/72 - -6) and -41\/1291.\nAnswer: 11619","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147.86343 rounded to one dp?\nAnswer: -2147.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-8)\/(-16)*2\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - v = -4 + 9, 2*c + 14 = 5*v. Let f be c\/2*6\/9 - -2. Solve 5*r = -z + 21, -f*r + 5 = -2*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 62. Let w be b(13). Suppose 5*h - 7*h = -8. Sort w, h, -5, 7 in descending order.\nAnswer: 7, h, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 smaller than -291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n**(-4)*n)**33)**(5\/9) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 169. Determine w(-63).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7))**9\/(c**(-5))**(-1\/20))**(-25) assuming c is positive.\nAnswer: c**(-4325\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 25*n**2 - 171*n + 106. What is y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 4533*w\/2 - 9074.\nAnswer: (w - 4537)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -293682.413 rounded to the nearest 1000?\nAnswer: -294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmpmpe. What is prob of sequence mep?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*t - 3*c + 9, 3*t = -2*c + 19. Suppose 15 = t*g + w, 5*w - 8*w - 31 = -4*g. What is the least common multiple of 9 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i - 38 = 137 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232641291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120475 - 0?\nAnswer: -120475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -0.07, -310, -0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 u when three letters picked without replacement from iuttukluu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.2785 nanograms in kilograms?\nAnswer: 0.0000000001302785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 16*m. Let s be r(-17). Let f = s - 14. Let h = -1 - -1. Solve -f*k - 5*c - 27 = 0, 0 = -k + 2*c + 2 - h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208048153 take away 0?\nAnswer: 208048153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, l: 1, u: 1, d: 2, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 1\/44, 0?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) - 436\/327.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -42 + 21\/(-13 + 6). Let q be t\/10*12*6\/99. Which is greater: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16958879 is divided by 5652932?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17408 and 2752.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 25 = 0, -3*x = -2*d + 8743 + 65372. What is the greatest common factor of d and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839869309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94263, -94265, -94255, -94227, -94175?\nAnswer: -94093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 4 - -1) + 14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22752 - u**3 + 7*u**3 + 6*u**3 + 15*u**3 - 29*u**3.\nAnswer: -2*u**3 - 22752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 4, b: 3, z: 2, t: 7, l: 1}. Give prob of picking 2 t.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 219298406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6464 and 21150814.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19977*w - 12521 wrt w?\nAnswer: -19977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/7 + 22*y**2\/7 - 20*y\/7 = 0. What is y?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*a**2 - 88*a**2 - 86*a**2 + 246*a**2.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.06908ml to litres.\nAnswer: 0.08106908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2320, 1858, 1378, 880?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6038057.7 milliseconds to hours.\nAnswer: 1.67723825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*m, 54 + 49 = 4*w - m. What is the greatest common factor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 8*g**2 - 7*g + 8. Let s be k(8). Let c = s - -123. What is the least common multiple of 12 and 2\/(-4) - c\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -14, -24, -34?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 3. Let h(d) = -15*d - 7. Let k(a) = -3*a + 3. Let c be k(-7). Let b be (183\/244)\/(2\/c). Calculate b*m(i) - 4*h(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4512)\/120*1\/4 + 5. Suppose b = -b. Suppose b = 6*g - g + 20. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 7107*y**3 + 173288*y**3 - 2*y.\nAnswer: 166181*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 488, 2853, 8486, 18767, 35076, 58793, 91298?\n\"Answer: 230*q**3 + 254*q**2 - 7*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8.647974+0.412751\nAnswer: 9.060725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12918, -12917, -12916?\n\"Answer: y - 12919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u. Let t(o) = 3*o**2 + 5*o. Let v(c) = -5*n(c) + t(c). Let i(z) = 12*z**2. What is v(i(b))?\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) + (-2)\/(-2). Suppose d*h = 2*h + 31. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*s = -277*s + 1020*s - 4750 - 1040 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -519038765 divided by -2608235?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 - 3*l + 2. Let n = 1679 + -1676. Determine r(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-3)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 4 = 0, 0 = -5*v - 3*h + 607. What is the remainder when v is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) -0.9 (c) 16 (d) -3\/5 (e) 8\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20875 = 190*v - 8355 - 3640. What is the remainder when 271 is divided by v?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*10.2\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*(-1)\/((-1)\/(-9)). Factor 0*s + 1\/3*s**2 + 0 - 1\/3*s**y.\nAnswer: -s**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46873613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**3 - 4*u**2 + u - 1. What is the smallest common multiple of 30 and b(-2)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/17 + 1812876*z**2\/17 - 10877184*z\/17 = 0.\nAnswer: 0, 6, 906432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27543 - -27599. Calculate the highest common divisor of d and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1, -34.\nAnswer: -34, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463986.\nAnswer: 2, 3, 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/340 + 8769\/10064 + 2019\/16.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2542*c**2*k**3 - 2*c*k**3 + 374*k**3 wrt c.\nAnswer: 5084*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/24)\/(6*15\/(-360))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 5*a)*(-2*a**2 + a**4 + 2*a**2) + (2*a**4 + 9*a**4 + 6*a**4)*(2*a + a - a).\nAnswer: 35*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 + 4*f - 4. Let x = -65 + 66. What is the remainder when 8 is divided by w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4542 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 3*o, -2*s - 3 = o - 9. What are the prime factors of -2*s\/(24\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -26 - 29 - (-3 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 51*r**2 - 84*r - 30. Is b(37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37221548 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 + k - 12. Let n be b(0). Calculate the common denominator of 75\/2 and ((-8)\/(-8))\/(n\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/3 greater than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p + 1. Calculate x(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -276671 and -8.\nAnswer: 2213368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*-25*23\/(-575).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8025618?\nAnswer: 2, 3, 1337603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3)*-1*(-8)\/24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 25*s + 3. Let q be x(4). Let b = 147 - q. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*a - 27, 14*l + 4*a - 24 = 10*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23517 is divided by 5879.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -5*r + u, 4*r + 3*u = -u - 168. Let z = 43 + r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/10)\/(22\/(-55)*9\/6). Which is the closest to g? (a) 1\/3 (b) 2 (c) 4 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-191 + -1)*(-11088)\/594. Calculate the greatest common divisor of v and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exee when four letters picked without replacement from {e: 5, x: 11}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19051*v**3*x**3 + 2*v**2*x + 43*v**2 + 67*v*x**3 wrt v?\nAnswer: 114306*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) + (-150)\/(-22). Suppose -4*o + 4*t + 12 = 0, 2*o + 3*o - t - x = 0. Put -5, o, 4 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23140 (base 5) to base 6\nAnswer: -11422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 67. Let t(j) = 1. Calculate f(p) - t(p).\nAnswer: -2*p + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-14) - (-1017)\/21. Let w = 49 - u. Is w*(14\/77 - 15990\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 12*h**2 + 10*h - 3. Let f be p(-7). Solve 4*y = 5*y + j - 2, 2*y - 5*j - f = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2012 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406355642 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (23 + -21)) + -16 - (-1 - 24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 + 2443*f**3 + 2*f**2 - f + 1516.\nAnswer: 24*f**2 + 14658*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 106 = u + 429, 3*u + 439 = 4*z. What is the greatest common factor of 106 and z?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12601 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -2\/11 (c) 0 (d) 2 (e) 1\/266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, 7, 2 in descending order.\nAnswer: 18, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(3\/7)*t\/t**(-10))**(1\/24)\/(t**(-1\/2)*(t*t**(-6\/11))\/t*(t**(-1))**(5\/2)) assuming t is positive.\nAnswer: t**(2481\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 - -281.9603. Round v to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and ((-9 + (4 - -3))*551)\/(3\/(-18)).\nAnswer: 72732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 39. Let f be l(9). Let p = f - 30. Suppose 5*m - 5*n = p*m, -n = -2. Calculate the greatest common divisor of m and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 0*x + 0*x - 3*x**2 + 0*x**2 - 4*x**2 + 3*x**2 - 9*x**2 + 16*x**2 + (3 - 3 + 2*x)*(x - x - 2*x) - 2*x**2 + x**2 + 3*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4365413 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*x - 124 = 102, -4*t - 872 = 4*x. Suppose 4*v - 84 = v. What is the common denominator of 139\/24 and (3 + v\/(-8))*t\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4 - 4, -x + 8 = -2*j. Suppose 2*d = -x*n - 8, -5*n + 4*n - 5*d = 20. Suppose -k - b = -0*b, n = -3*b - 3. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 45\/(-24) - 675\/216?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:10 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012594 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**5 - 48*q**4 + 28*q**3 + 1000*q**2 + 2448*q + 1760 = 0.\nAnswer: -11, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*t + 20 = -48 - 37. Let h(q) = 4*q**2 + q + 3. Let p(v) = v**2 + v + 1. Suppose 4*b - b = 4*o - 27, 2*b = -5*o + 5. Give o*p(y) + t*h(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*l + 10*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*2 + -4 - (sqrt(931) + 0 + 2)**2.\nAnswer: -939 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 1560?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-39 - -27) - (-2 + (4 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 14*r**2 - 9*r - 127. Let v be y(-14). Let h be 3 + (-10)\/(-8)*136\/(-60). What is the smallest value in h, -43, v, -2\/19?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588557 is divided by 1789?\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -4322?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/6))**(3\/5)*i\/((i\/(i*i*i**(1\/7)))\/i)*(i*i**(1\/10)\/i)\/i assuming i is positive.\nAnswer: i**(103\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + -0.198\nAnswer: 0.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 140*r**4 - 10 + 12 - 3 - 3*r**2 + 2*r**2 + r**3 in the form b*r**4 + p*r**3 + k*r**2 + c*r + a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - 4) + -4 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbccvcvnbivn. Give prob of picking 3 c and 1 b.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*v - 1. Suppose -55 = 289164*y - 289175*y. Which is the nearest to v? (a) -0.3 (b) -1 (c) 7 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/(128535\/(-836)) + (-16)\/(-35)?\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -549, -2253, -5093, -9069?\n\"Answer: -568*r**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227*t + 95828 + 183668 = 3481*t for t.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iicigciq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -6, -5, 271, -4\/9, -0.08?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727.818 decades in millennia?\nAnswer: 57.27818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17*x - 84. Determine c(-10).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2304\/55 and -43 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/23)*x**8\/x*x\/(x\/(x\/((((x**(2\/9)\/x)\/x*x)\/x)\/x)))*x**(-4))**(-26) assuming x is positive.\nAnswer: x**(-36946\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 63*a**2 - 25*a - 1810. Calculate l(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19379, -19439, -19539, -19679, -19859, -20079?\n\"Answer: -20*h**2 - 19359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1, -6, 2.\nAnswer: -6, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.02 (b) 0.1 (c) -1\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 6247.67 and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301 (base 4) in base 6?\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30574, -30544, -30492, -30418, -30322?\nAnswer: -30204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -136.\nAnswer: 413\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 1 + 0*f - 2*f)*(12824*f**2 - 9899*f + 7087*f**2 - 9896*f + 19795*f) to the form g + p*f + b*f**3 + t*f**2 and give b.\nAnswer: -19911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 9*j**2 + j - 8. Let p be z(9). Let v be (0 + p)*(20 - 26). Let b(m) = -m**3 - 7*m**2 - 6*m - 5. Determine b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171579*s*x**2 + 19*s - 196 wrt x.\nAnswer: 343158*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20333640373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:27 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**25)**(-22) assuming u is positive.\nAnswer: u**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 70 (b) -1\/6 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3418 divided by -2?\nAnswer: -1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 11*n - 9. Let k(x) = x**3 - 4*x**2 + 3*x - 2. Let p be k(3). Let g be (p - 1) + (-15)\/3. Is b(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**(-4\/3))**(-3\/5) assuming a is positive.\nAnswer: a**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.001 and 61.8.\nAnswer: 0.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 570 + 402. Suppose 2*j - 1 = j, -i = -5*o - 2*j. Suppose -41 = -t - 4*g, -3*g + 2*g = 4*t - o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-553))\/(4\/(-10)). Let j = c + -1063\/3634. Let m = 134\/161 + j. Sort 1\/3, 0.2, m.\nAnswer: 0.2, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0935 - -8?\nAnswer: a0941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 18*y**3 - 7*y**2 - 7. Let u(g) = 17*g**3 - 6*g**2 - 6. Suppose -2*t = -10*x + 15*x - 22, 3*x + 4*t - 2 = 0. Give x*k(r) - 7*u(r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7723 - 61412?\nAnswer: -70235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -413*j. Let w(f) = -3*f**2. Determine w(p(h)).\nAnswer: -511707*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 23. Let o be c(-12). Let l = -25 + o. Is 2 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -19*r**2 + 2*r - 12. Let m(p) = -65*p**2 + 6*p - 37. Calculate 3*m(a) - 10*z(a).\nAnswer: -5*a**2 - 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2132*d + 2098*d + 1038 = 4169*d - 365 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26542993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 15110623?\nAnswer: 15110635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehdh. Give prob of picking 1 e and 2 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 48\/5 of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485126 and 58102300.\nAnswer: 11282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 9*j = 6, 2*o + 3*j - 24 = 0. Suppose o*g + 289 = 613. Calculate the highest common divisor of g and 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 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: In base 9, what is 1088 + -2?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -11, 97, -3, -9 in descending order.\nAnswer: 97, 19, -3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*f**3*h**3*w - 4*f**3*h**2*w**3 - 2*f**2*h**3*w**3 + 3*f**2*h**3*w + 3*f**2 + 38*h**2*w**3 wrt f.\nAnswer: 2010*h**3*w - 24*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11193347*b**2 - 2*b - 6411651?\nAnswer: -22386694*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2480)\/12)\/(-155)*(2\/(-5))\/((-16)\/25)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 29*w - 60. Let b be d(31). Let f(l) be the first derivative of l**3\/3 + l - 376. Let h(r) = -4*r**2 - 1. Calculate b*f(x) + h(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2566 + 3381. What is the greatest common divisor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3069*y + 3073*y + 136 = 10*j, 52 = -y + 4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1, 2969, 6, -2, -3.\nAnswer: -48, -3, -2, -1, 6, 2969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 355 and 28826?\nAnswer: 144130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 1380.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1964, -3, -4, -37 in decreasing order.\nAnswer: 1964, 4, -1, -3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11 + 25 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48924530727 - -29.\nAnswer: -48924530698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.13 + -0.37. Let v = 15 + y. Is v < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737405953?\nAnswer: 67, 743, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-3 - 0 - -1) + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 2)*-4)**2.\nAnswer: 384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/4 + (-1)\/2. Let r(j) = -j. Let y(p) = -11*p + 1. Let z(o) = n*r(o) - y(o). Let f be 3\/(-1) - (-4 + 0). Calculate z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 8895 - 50006. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from tytyyyyyhyyyyyhybyht.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250753413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -15*z**4 - 112*z**3 - 106*z**2 + 1591*z + 7. Let x(j) = -8*j**4 - 56*j**3 - 52*j**2 + 796*j + 4. Let u(g) = -4*b(g) + 7*x(g). Factor u(y).\nAnswer: 4*y*(y - 3)*(y + 6)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -77, -189, -345, -545, -789, -1077?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g*o**6 - 28*g*o**5 - 7*g*o + 28*o**2 wrt o.\nAnswer: 840*g*o**3 - 1680*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1944 * -6809.12\nAnswer: 13236929.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j + 60*j - 8*j. Let s(i) = 15*i. Determine s(u(g)).\nAnswer: 585*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.9432l to millilitres.\nAnswer: 69943.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27380 divided by 5?\nAnswer: -5476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - -31) + (98 - 110)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29957164?\nAnswer: 2, 769, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43664329 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0832 in -0.2, 0.7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v - 3 = 0. Suppose -16 = -2*w + 4*h, v*h - 2*h = 4*w - 11. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/81*-36)\/(3\/17265).\nAnswer: 2, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308472861 to the nearest integer?\nAnswer: 17563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 0.01. Let j = y + -0.23. Which is the third biggest value? (a) 0.4 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d2 (base 15) to base 16\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r + 20. Let y be 1 + 0 + r + -8. Sort 2, 3, y, -16 in increasing order.\nAnswer: -16, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28061 - 84156 + 28066 + 28029 + 2*j**2 + 12*j**3.\nAnswer: 12*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5882 - 5882 + 110*h)*(-4 + 3 + 3)*(49 - 36 + 44) to the form j + f*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, -3, 2\/7 in descending order.\nAnswer: 2\/7, -1\/33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/25)\/(8\/(-12)*24\/384*-4)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4658*(-16)\/(-2016) - -37.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -43*o**5 + 6*o**3 + 10*o**2. Let z(l) = -85*l**5 + 13*l**3 + 20*l**2. Let w(v) = -13*r(v) + 6*z(v). What is the third derivative of w(s) wrt s?\nAnswer: 2940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:46 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 4*g + 3. Let b be u(-3). Suppose 2*c + 5*s - 3 - 6 = 0, 2*c - b = -2*s. Suppose 2 = -c*q + 10. Let d(y) = 3*y - 5. What is d(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u - 47*u + 133*u - 40*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q + 3. Let o be q\/((-1)\/(-2)) - -4. Let v = 1 + o. What is the least common multiple of 8 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149817 = 19*r - 510874. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 676*j - 1356.\nAnswer: (j - 678)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 1275.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.9224 rounded to the nearest integer?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g*g**28\/g*g)\/g)\/g*g**(-4))**(-11\/5))**(-41) assuming g is positive.\nAnswer: g**(10824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06076022 + 5?\nAnswer: 4.93923978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -31.044. Let z = m - -0.158. Round z to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - 0.01. Let h = m + 0. Let z = 2.9 + -2.7. Which is the nearest to h? (a) z (b) -0.4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -54*z**6 + 145*z**2 + 256. What is the second derivative of n(k) wrt k?\nAnswer: -6480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6954169 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.1119407?\nAnswer: 0.03358221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 4*j + 4*j to p + f*j and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 627?\nAnswer: 8\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 37 - 11 = 0. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450*z - 1427*z + 2912*z.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*a + 141 = 316*a + 3*w, 4*a = -2*w + 138. Let c(b) = 87*b - 1. What is the remainder when c(3) is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165\/(-11)*((-6 - 0) + 2) and 11?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -32*q**2 - 4*q - 54. Let o(b) = -31*b**2 - 5*b - 54. Let t(u) = -3*l(u) + 2*o(u). Find the first derivative of t(n) wrt n.\nAnswer: 68*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*n + 235 = 213, 5*n = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1789 + 0.7353505\nAnswer: 1789.7353505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 4*g)*(2*g**2 + 6*g**2 + g**2)*(3*g - g + g) - 3 + g**4 + 3.\nAnswer: -53*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 - 2026*r - 7 + 438*r**3 + 2026*r.\nAnswer: 438*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64578 is divided by 32168.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 8\/11 (c) -1\/4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 720192035\/942 - 764535. Calculate the common denominator of d and 113\/6.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**4)**(-2\/47))**(2\/9))**(-2\/3) assuming k is positive.\nAnswer: k**(32\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1 + 10 - 3) - -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132009071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 58 - 60. Solve -3*b - k*f - 1 + 10 = 0, -5*b + 22 = f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, e: 4, c: 7}. What is prob of picking 2 e and 2 c?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*k - 173749, -5*k = 5*a - 9*k - 173728. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3, 15, -85, 4, -8 in descending order.\nAnswer: 15, 4, 2, -3, -4, -8, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1326)\/(-428)) + 6\/9. Let c = 6415\/6409 + u. Let v = c - -161\/290. Find the common denominator of 51\/7 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48 + 606 + 494 - 5*w**2 - 40*w + 148.\nAnswer: -5*(w - 12)*(w + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2397, -2444, -2495, -2550, -2609, -2672?\n\"Answer: -2*y**2 - 41*y - 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in -0.5, 0.2, -1\/4, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 5*p + 2. Suppose 0 = -z - 3*g + 5, 0 = -58*z + 62*z + 4*g - 28. What is the smallest common multiple of z and h(-4)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -536?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 8*i**2. Let j be a(8). Suppose j + 3 = d. Suppose -d*b - 89 = -425. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.3 - -89?\nAnswer: 466.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 2*b + 3. Let k(l) = -2*l**2 - 2*l + 2. Let z(w) = 25*w + 280. Let s be z(-11). Calculate s*n(u) - 6*k(u).\nAnswer: -3*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 707011.1t?\nAnswer: 707011100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and 31\/423.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7627 + -228697\/30. Calculate the common denominator of 121\/690 and j.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4528, 4527, 4532, 4549, 4584, 4643?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60\/29 - -5671\/2755. Is 1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -32 + -5 + -42 + 27.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - (-3 + 0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c + 4. Let t(a) = a**2 - 2*a + 4. Let k be t(2). Suppose -2*g - 5*m = c*g - 46, -28 = -k*g + 4*m. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 - 23*w + 21. Let r be z(23). Suppose -5*c = 4*k - 1596, -3*c - 2*c + 8*k = -r. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.076 - -9.376. Let d = h + -8.999. Let z = 0.3 - d. What is z rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)\/a**(5\/6)*(a\/(a*a*(a**(-1)*a)\/a))\/((a*a**(-2\/3)*a)\/a) assuming a is positive.\nAnswer: a**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*x - 1155 = 363 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 4*b - 184 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3341 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 45*x**2 - 24*x**2 + 0 - 10*x - 10*x**2 - x**3 + 1. Let i be b(10). Solve 11 = -4*o - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2 + sqrt(76))*-6 - sqrt(76))\/(sqrt(32)\/(2*sqrt(8))).\nAnswer: -38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 1. Determine x(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p + 463. Give m(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + i + 0*i = -53, 0 = 3*i + 9. Suppose -2*r = -7*r + q. Suppose -12 + 2 = -r*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -24*i + 5777 - 5795 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 2140 = 2*b. What are the prime factors of b?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - -63. Suppose 162*r = 160*r + 150. Let s = x - r. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16672140 divided by 3.\nAnswer: 5557380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*m - 185*m + 2 + 105*m.\nAnswer: 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x - 46 = -111*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-31 - -19 - 2 - 46)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/40 - (-3)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 - 7*r - 13. Determine n(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1366.3 - 258.3. Let c = -1568 + j. Let v = c + 460.00267. Round v to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 399274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*b = -158, -5*u + 10*b = 11*b - 148. What is the highest common divisor of 140 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 34676790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**2 - m**3 - 2*m - 1\/10*m**5 - 1\/2*m**4 + 0. Let p(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 45*d**2 + 8*d**2)*(-2*d - 80*d**2 + d + 62*d**2).\nAnswer: -936*d**4 - 52*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 14. Suppose -18 = -4*i + i. Let f be r(i). Solve -5*k + 2*s = -10, f*k - 25 = 2*s + 3*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149572.54127 - 149571. Let n = -1.54 + z. What is n rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -17.4. Put f, -4, -3, 3 in ascending order.\nAnswer: -4, -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1078 - -1081. Let p = -8 + 3. What are the prime factors of 2\/((-2)\/75)*p\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*(7 - 1). Let t = 3 + m. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = c - 5, 3*c + 4*u + 4 = 0. Put -4, c, -1 in increasing order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -36, 7\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2217\/4 + 551. Calculate the common denominator of (21\/56)\/((-10)\/24) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*y = 3*v - 753*y - 14, 5*v = -6*y - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j - 5*j**2 - 23 + j**3 - 3*j + 20. Let g(x) = 2*x**3 - 16*x**2 - 32*x - 8. Let t(w) = -3*g(w) + 8*u(w). Factor t(y).\nAnswer: 2*y*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 26*y - 24*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430) - (sqrt(2430) - (sqrt(2430) + 4*(sqrt(2430)*3 - sqrt(2430)))))*1)\/(((sqrt(36)*-2)\/sqrt(3) + sqrt(12))\/(-1*sqrt(98))).\nAnswer: 567*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*v**5 + 6*v**4 + 38*v**3 - 63238*v**2.\nAnswer: 1740*v**2 + 144*v + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*j + 182*j + 174*j + 187*j - 724*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-206)\/70 - (-4)\/5. What is the closest to -0.061 in y, 0.5, 3, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-27))\/(72\/(-4248)).\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q - 115*q + 1205*q.\nAnswer: 1120*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y + 2, -3*k = 2*y - 254. 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 the second derivative of 48471*f**2 - 4247*f + 9?\nAnswer: 96942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128742967 >= 128742969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/5)\/(-8 + 9). Let k = -0.1 - -0.1. Which is the closest to -2\/3? (a) o (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 4*a + 2. Suppose -g = 5*f - 36, 2*g = f + 9 + 8. Let p = 16 - g. Calculate the remainder when p is divided by r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**11*h*h\/((h*h**(-13))\/h)*(h*(h*h\/(h*h\/(h\/(h**10\/h))))\/h)\/(h**(3\/14)\/h) assuming h is positive.\nAnswer: h**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27bda3 (base 14) to base 15.\nAnswer: -1c31e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1314 = 3*b + 6*c + 1335, -5*c - 19 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5ada - 1?\nAnswer: 5ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Suppose 0 = -3*x + 4*p - 13, b*p + 1 = -x - 2*p. Suppose -13 = 8*a - 4*a + 5*d, d + 9 = -4*a. Sort 0, a, x in descending order.\nAnswer: 0, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -846471 - -5091623\/6. Let v = 2139 - r. Find the common denominator of -75\/4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.94 - 5. Let i = 0.06000056 + k. Round i to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2101 and 955?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*z - 5*z. Let c(w) = -3*w**3 + 7*w**2 + 7*w + w**3 - w**3 - 4 - 9*w**2. Let r(j) = -4*j**3 - 2*j**2 + 8*j - 5. Determine z*c(g) - 4*r(g).\nAnswer: g**3 - 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 - 3*c**2 + 1. Give z(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 2*t - 43*t**2 - 3*t - 3*t.\nAnswer: -43*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*18\/16. Let s be (-3 + 2)\/(5\/(-20)). Let f(k) = k**3 - 2*k**2 - 4*k. Let b be f(s). Sort 4, b, n in ascending order.\nAnswer: n, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8\/3 (b) 2\/11 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1+-102610.855\nAnswer: -102611.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3\/6 + 2*j. Let i(t) = 7*t. Suppose z = 2 - 7. Let v(l) = 6*l. Let q(b) = z*v(b) + 4*i(b). Determine q(y(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 = 249*m - 59*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-44) - 6\/33. Suppose a = -7*j + 3*j. Solve -4*s + 3*s + 4*x = 0, -4*s + x - 15 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 23583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -26. Suppose 0 = -4*w + 2 + i, -a - 2*w + 121 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-8))\/((-31)\/248). Let z = -787 + 937. Calculate the greatest common factor of r and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3273 + 3290. Let z = -18 + 36. Is z <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 40*n - 19*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 58*h**2 + 52*h**2 + 63*h + 9.\nAnswer: -6*h**2 + 63*h - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 + 49*u + 287. Give l(-8).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.117194293 rounded to 4 decimal places?\nAnswer: 1.1172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 6?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from ybbqbybbbwuwbbbwzb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*n**2 - 6285*f**2 + 1862*n**2 with respect to n.\nAnswer: -2*f**2*n + 3724*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 x, and 1 w when four letters picked without replacement from {w: 1, s: 2, j: 3, x: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25765 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3935021971?\nAnswer: 109, 36101119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 0.1 (c) -3\/5 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -30*n**3 + 6*n**2 - 67*n + 122. List the prime factors of l(-12).\nAnswer: 2, 5, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135, 139, 157, 195, 259, 355, 489, 667?\n\"Answer: w**3 + w**2 - 6*w + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1242870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.9, 71\/25, -2\/7, 2\/9, 0.1?\nAnswer: 71\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 46*n - 16*n - 11*n - 19*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 43. Let i = -29\/4 - -43\/6. Which is the second biggest value? (a) 0 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 285 + 8*h**2 + 8*h - 303. Does 15 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 15.\nAnswer: 58\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 24 = -3*l, 5*d - 5*l = 4*d - 4. Let s(q) = -599*q - 2269*q + 418*q. Let f be s(d). Round f to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 0*n - 149552*n**4 + 149557*n**4 + 15 + 0*n to the form p + c*n**2 + j*n**3 + g*n**4 + m*n and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*k - 910 = -8*k, -5*k = -3*t + 506. Differentiate -t - 15 - 29*x**4 + 28 - 14*x**4 wrt x.\nAnswer: -172*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - p - 3, 2*l - p = -0*p + 3. Suppose 4*i - 12 = u, 4*i = -l*i - u + 4. Let f = 2 + 3. What is the greatest common divisor of i and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 127 (b) 4\/5 (c) 27460 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 887\/5 - 178. Let d(y) = y**3 + 85*y**2 + 93*y + 757. Let f be d(-84). Sort l, -4\/17, f.\nAnswer: l, -4\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Suppose -b + n = -20. Calculate the lowest common multiple of ((-14)\/(-10) + -1)*b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from {w: 3, o: 1, x: 4, j: 1, h: 2, l: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 - 3*n. Let o(p) = p**2 - p + 1. Let g(x) = -3*o(x) + t(x). What is the derivative of g(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2004*n**2 + 334668*n + 1560 - 2*n**3 + 5*n**3 - 1560.\nAnswer: 3*n*(n + 334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 10656 = -11*s. Let z be s\/720 + (0 - (-1329004)\/10). What is z rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**3 + 770*o**2 - 21296*o + 127776 = 0.\nAnswer: 33\/4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.325 + 1.025. What is the second smallest value in 0.02, r, -0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5 and (-7 - (-315)\/49) + (-908)\/126.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + -1 + -2 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104083635?\nAnswer: 3, 5, 6938909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**2*c**6*c)\/(c**(2\/3)*c\/(c*c**(1\/4)*c)) assuming c is positive.\nAnswer: c**(103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(4 + 3 - 5)*(97*w**5 + 63*w**5 - 41*w**5).\nAnswer: 238*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86142.1771 + 19.1771. Let b = -86124.00013 - l. Let k = 1 + b. Round k to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.38403 - 0.61597. Let b = -0.6 + -1.4. Sort -19, b, -0.4, t in decreasing order.\nAnswer: -0.4, b, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -65*s**3 - 7*s**2 - 32*s - 26. Give v(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2)\/(-4)*25\/(400\/288). Let h(c) be the second derivative of -c**5\/20 - 3*c**4\/4 - c**3\/6 - 5*c**2 - c. What is h(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(13) + 3 + (-2 + sqrt(13))*-2)*-6 + -3*((sqrt(468) - 1*sqrt(468))*5 - sqrt(468))*4)**2.\nAnswer: -5544*sqrt(13) + 58392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 779 in decreasing order.\nAnswer: 779, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-5) - (-99)\/165. What is the hundreds digit of ((j + -59)\/1)\/(1\/(-31))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 70, 134, 218, 322, 446?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 7*j - 49 = -3*q, 2*q - 5*j - 44 = 0. Solve -4*m + 4*w = -32, -m = -0*m - 4*w - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5491 or -312926\/57?\nAnswer: -312926\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 31*t - 47*t + 2*t + 8*t - 23.\nAnswer: -11*t - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/3 (b) -10 (c) -5 (d) 3 (e) -1335.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 13*j - 420 = 35*l, 139 = -5*j - 41 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.7. Let a = f - -0.27. Let m = -0.57 + a. What is the closest to 2\/7 in 3, m, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-17 - (11 - 30)) - -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262 - -70. Let w be (-16)\/r + (-3)\/4. Let a = -0.2 + -4.8. What is the closest to 1 in w, 3\/2, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010211002 - 10?\nAnswer: 2010210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + 0 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbboobobtobto. Give prob of sequence ootb.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.175 + -48.175. Let y = j - -47. What is the nearest to -1 in 3, y, -3\/49?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 32 = -0*z + 4*z, -5*b + 4 = z + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322858493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -4*t + 1201. Let r = t - -56. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*h - 2 + 2*h - 25*h + (0*h + 0*h - h)*(-6 + 3 + 1).\nAnswer: -9*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(0 + 1). Let h = 0.003 + -5.403. Let i = h - -5. Sort m, i, -1.\nAnswer: -1, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1482 divide 229091350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**3 - o**2 + 11. Let t(y) = 7*y**3 + 6. Calculate -6*q(h) + 11*t(h).\nAnswer: -h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*m - m, -4*u + 2*m = 0. Suppose 5*a - 10*a - 10 = u. Is (3\/(-2) - a) + 4569\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 94*z**2 - 42*z - 133. Let y be t(-3). Solve 0 = 3*c - y + 824 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 a when four letters picked without replacement from caaatacccaa.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(16\/(-4))*0)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26244312?\nAnswer: 2, 3, 139, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 313*q + 2082. Let g be m(-5). Solve 421 = 32*r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 312*p - 624*p + 311*p. Let q(r) = r**2 + 216. Give q(h(o)).\nAnswer: o**2 + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(1\/2*-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -206, -393, -580, -767, -954?\n\"Answer: -187*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -160*a + 3. Let n(y) = 159*y - 3. Let z(g) = 4*h(g) + 5*n(g). What are the prime factors of z(1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 29908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**5\/7 + 184*b**4\/7 + 5632*b**3\/7 - 184*b**2\/7 - 804*b = 0.\nAnswer: -21, -1, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2399 + 2399 + 70*p)*(-2 - p + 21 - 4).\nAnswer: -70*p**2 + 1050*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24842204341528 + 0.2\nAnswer: -24842204341527.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 + 11756126*g**2\/5 - 34551636388092*g\/5 + 69103225751688\/5.\nAnswer: -(g - 5878062)**2*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 1, y: 2, j: 4}. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 9 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -70307386.\nAnswer: 28122954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 + 7964*l - 7826912 = 0. What is l?\nAnswer: 1766, 2216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, -33, -3, 2, -4 in descending order.\nAnswer: 32, 2, 0, -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*(525\/390)\/(-35)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -3)\/(4\/6). Find the common denominator of (-6 - (-140)\/25) + 602\/(-20) and s\/8*(-110)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 9*z**3 + 19 + 1\/10*z**5 - 21\/16*z**4 + 0*z - 1\/320*z**6 - 2*z**2. Factor q(o).\nAnswer: -3*(o - 6)**2*(o - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 840551 (base 9) to base 6\nAnswer: 14410331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53606409023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -23. Let q = u - -114. What is the least common multiple of q\/18 + 1\/(-2) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 135795*p**2 - 392735880*p - 270407671580.\nAnswer: 5*(p - 29851)*(p + 1346)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvkkvvv. Give prob of picking 2 v.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 483 = -24*n + 6. What is the highest common factor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**18*(g*g*((g\/(g**(-3\/5)\/g))\/g*g)\/g*g)\/(g\/(g**(-1\/3)\/g)))**23 assuming g is positive.\nAnswer: g**(-5428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*t = q - 2, 3 = -3*t. Suppose -3*b + 4 = 2*s, 0 = -b - b. Is s < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 80*t - 82*t = 56721, -5*t = -5*b + 56730. List the prime factors of b.\nAnswer: 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**6\/360 + 4*v**3\/3 + v**2 - 4*v + 4. Let a(q) be the second derivative of r(q). Let y(s) = s**2. Calculate a(y(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3697, -3694, -3689, -3682?\n\"Answer: c**2 - 3698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18024300 a multiple of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 5*g**3\/2 - g**2\/2 + 10*g - 4. What is y(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**4 + 12*j**4 + 7*j**4)*(1072 - 1072 - 35*j).\nAnswer: -455*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.796733 millilitres to litres.\nAnswer: 0.007796733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - a + 33. Let v be s(0). Suppose -2*b + 0*b = 4*f - 48, b + 5*f - v = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**16\/l**16 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(25350\/(-1508)) - 4\/(-26)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(-2 + -5))\/((-1)\/(-1)). Let k be 3 + -5 - (a - 13). What is the highest common factor of k and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.17, 17, 2\/17, 143.\nAnswer: 2\/17, 0.17, 4, 17, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**2*z**3 - l**2*z + 289*l*z**2 + z**2 - 143*z + 19 wrt z.\nAnswer: 48*l**2*z + 578*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -32. What is the third derivative of -r*o**2 - o**6 + 11*o**6 + 2*o**2 wrt o?\nAnswer: 1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = -3483. Let y(o) = -3 + d*o - 1162*o + 3 - 1. Determine y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 100*s - 65. Determine b(-15).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2099334*i**2*u**3 + i**2 - 3*i*u**2 + 2*u**2 - 43304 wrt u.\nAnswer: -12596004*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16*m = 80. Suppose -10 = -3*p - 2*i + 12, -m*i + 28 = 2*p. Suppose -3*k + 332 = -q, -5*k - p*q + 576 = -0*q. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6400535 decades?\nAnswer: 6.400535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:48 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20 and 137\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3002, 3862, 5300, 7316, 9910, 13082?\n\"Answer: 289*a**2 - 7*a + 2720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3 - 5. Let q be (4\/5)\/(w\/(-75)). What is the common denominator of 43\/6 and (-230)\/q*3\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*q + 195*q - 48*q - 30*q + 637*q + 17*q.\nAnswer: 1030*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51682*-27.\nAnswer: 13.95414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s - 1 + 1)*(-2*s**3 + s**3 + 10*s**3) - s**4 - 5*s**2 + 5*s**2 to v*s**4 + m*s + o*s**3 + p*s**2 + l and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 3922. Let z be i(0). Let a = -86217\/22 - z. Find the common denominator of a and -77\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 - 75824*u + 379020 = 0. Calculate u.\nAnswer: 5, 18951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(539) - (-4 + sqrt(539))) + 1 - 1*(-4 + (3 + sqrt(539) - sqrt(539))*-5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3948*m = -4004*m + 616 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**3\/3 + y**2\/2 - 1. Let o(h) = -16*h + h + 3 + 14*h. Let q be o(3). What is f(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8196916 divided by -637?\nAnswer: -12868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -482956 divided by 1?\nAnswer: -482956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 times -13.0447?\nAnswer: -1969.7497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440\/55 + 1 + 7251 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3*j - 4. Let v(m) = 2*m - 6. Let p be v(4). Let a be p\/(-4) - (-2)\/4. Suppose 0 = y - a*y + 3. Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 5*u**2 - u. Let b(l) = 11*l**3 + 15*l**2 + 11*l - 6. Let k(i) = -4*i**2 - 2*i + 1. Let z(p) = b(p) + 6*k(p). What is -7*o(r) + 4*z(r)?\nAnswer: 2*r**3 - r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7044 and 4?\nAnswer: 28176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 6 = r, -4*r = 2*i - 6. Suppose r = -5*t + 9*t. Suppose t = 2*x - 6, 3*p - 4*x - 528 = -x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - a - 1. Let q(d) = 2*d**2 + 6*d + 6. Let y(w) = -24*g(w) - 4*q(w). Calculate y(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1405*d + 211. Is k(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*f - 23 + 13 + 946*f + 10 as h*f + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 10*g - 10. Suppose 42 - 10 = 4*t. Let k be r(t). Let u be -1*k*(-1)\/2. Solve 20 = 4*y, 0*o = u*o - y + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.74, 0.01, 0.06.\nAnswer: 0.01, 0.06, 0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:35 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70349 is divided by 951?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/5 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216061, -216060, -216059, -216058?\nAnswer: -216057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 9*g**2 - g - 1. Determine d(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31683589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h + 1. Let a be c(-5). Let l = 3.9 + 0.1. What is the second biggest value in -1, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyp when four letters picked without replacement from ppopyyyp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -373 - -856. Let d be (-2)\/21*n\/(-207). Suppose d*g**3 + 0*g - 14\/9*g**2 + 0 = 0. What is g?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790*s = 781*s + 9. Let v(y) = -4*y**3 - y**2. Determine v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1346771\/6 - -224443. Let p = 2557 + -337505\/132. What is the common denominator of y and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/6 + 3*v**2\/2 + v. What is the units digit of s(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -23. Which is the biggest value? (a) l (b) 1.6 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76988418 to the power of 1\/2, to the nearest integer?\nAnswer: 8774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(480))\/sqrt(12) + sqrt(2560)*3)\/(5*sqrt(32)\/(sqrt(4) + (sqrt(16)\/sqrt(4) - sqrt(4))*-5)).\nAnswer: 23*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102112222 (base 3) in base 2?\nAnswer: 10000011110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3*s**2 - 4*s**2)*(3 + 1 - s - 7).\nAnswer: 9*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -0*j - 2*j + 194, 335*j + 2*m = 333*j - 3*m - 78 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + 4*z. Let g = 3 + 0. Let b(k) = 4*k**3 + 3*k. Let q be 3*(4 + (-6)\/2). Suppose 4 = -q*l - 8. Calculate g*f(j) + l*b(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 2. Suppose -4*l + 26 = -2. Let v be (-12)\/21 + (-3)\/l. Let d be k(v). Solve d*t + 20 = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16956 (base 12) to base 13\nAnswer: -11a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 3*f**2 - 4*f**2 to l + x*f + n*f**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3073\/25 + -123. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13718*l**3 - 8664*l**2 - 1824*l - 128.\nAnswer: -2*(19*l + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -27. Let f(x) = 3*x + 4. Let h be f(3). Let r = q + h. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3 + 3)*(0*t**3 - 4*t**3 + 5*t**3) + 14*t**4 - 25*t**4 + 2*t**2 + 90*t**4.\nAnswer: 78*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-3)\/((-21)\/21*2\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/2 + 351*z**3 - 6996*z**2.\nAnswer: -3*z**2*(z - 212)*(z - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 35*n**3 + 34*n**2.\nAnswer: n**2*(n + 1)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/3 in -2\/15, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 4.\nAnswer: -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 - 3*s - 15. Suppose 9*p + 7 = 10*p. Let y be a(p). Is y greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18215441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w = 262. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*16\/24*1*9. Calculate the greatest common divisor of b and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 20, 12, 2, -10, -24, -40?\n\"Answer: -j**2 - 3*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0 + h**2 + 0*h + 1\/12*h**4 + 1\/120*h**6 + 0*h**5 + 0*h**3. Find the second derivative of w(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 12*c**2 + 6*c - 24. Is q(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 100*q - 1273. What is the smallest common multiple of v(16) and 33?\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1524 - 1520. Solve -4*i - a = -r, -15*a = i - 18*a - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 116652761 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 2*n + 32. Find the common denominator of (-6)\/63*318\/8 and (-100)\/(-16) - (n - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*x**3 - 5*k*x**2 + 16*k*x - 5*x**4 + 2*x**3 wrt x.\nAnswer: 6*k - 120*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4461*t + t**3 - 4461*t as o*t**2 + z*t**3 + i*t + n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*o**2 + 1 + 1)*(24*o - 28*o - 34*o).\nAnswer: -76*o**3 + 76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-144) - (355\/(-210) - -1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2763 - 749 = -3*g + 4*p, p - 1173 = -g. Is g\/(-6)*(-2)\/4*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 3. Let c(i) = 270*i**2. Determine q(c(w)).\nAnswer: 2430*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 18*n + 2. Let r(i) = 3*i + 75 - 4*i**n - 75. Let x(d) = -d**2 + d. Give -r(a) + 3*x(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 1, j: 1, g: 1, s: 4, a: 2}. What is prob of picking 1 z and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-5 + 13)) + 3 - (-6 - 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -253 - 167. Let h = s + 169. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 - -0.639729883?\nAnswer: -197.360270117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2827 - 180.73.\nAnswer: -3007.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 794.1 - 754. What is l rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/3 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -491789515.9.\nAnswer: -491789511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 3, -10 in decreasing order.\nAnswer: 3, -10, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27954539.\nAnswer: 929, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -19\/3 (c) -1.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 430030607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 49. Suppose b*o - 14*o = -24. What is the least common multiple of o and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i - i)*(20*i + 3*i + 2*i).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m + 1\/525*m**7 + 0 - 4*m**2 + 1\/60*m**6 + 7\/60*m**4 + 3\/50*m**5 + 2\/15*m**3. Factor b(o).\nAnswer: 2*(o + 1)**3*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:44 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26136921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 669 times -0.1\nAnswer: -66.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 12.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 2 + 347*o**3 - o**2 - 345*o**3 + 81*o to f*o + p + g*o**2 + m*o**3 and give f.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*s - 4*s + 582, -873 = -3*s + 2*q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/107 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20375 - 20403.48. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 19*l + 21*l + 36 = 0, -3*b - l = -54. Let c be 5 - (0\/(-2))\/(-2). Solve a = 5*p - b, 0 = -3*p + c*p - 4*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 328489563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -427029810 minus 1?\nAnswer: -427029811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 8. Let a be q(0). Suppose a*y = 6*y - 10. Let d = 10\/13 - 4\/39. What is the closest to 1 in d, y, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 - 3*m - 6. Let u be h(5). Suppose -u - 6 = -5*b. Suppose b*c - 8*c = -942. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/650635 (b) 3 (c) 1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6076 rounded to 1 decimal place?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.06 + -0.06. Let i = -33.5 + -33.5. Let h = i - -67.1. What is the closest to 0 in h, 0.5, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-334 - -327) + (-1 - -1) + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 19*o**2 - 15*o - 19. Let q be w(18). Let h = q - 9. What is the greatest common divisor of 39 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r. Let f(k) = 275492 + 26*k - 275492 - 201*k. Give f(a(t)).\nAnswer: 875*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 19*q + 48. Let p(j) = -j - 2. Let m(s) = -o(s) + 3*p(s). Let b be m(-19). Let v be 2\/11 + (-8)\/44. Solve v = 7*a - b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -6919?\nAnswer: 6924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1251*k**2 - 2 + 2.\nAnswer: -1251*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/43781417 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 8*z + 11. Suppose -9 = 8*r - z*r. Let t = -31 + 44. Calculate the least common multiple of t and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d + 2\/7*d**2.\nAnswer: 2*d**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, -293, -1046, -2393, -4532, -7661?\n\"Answer: -33*b**3 - 126*b + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 - -2.753. Let n = -0.04700055 - g. What is n rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 62. Let g be -1*(1 - -4) + 0 + v. What is the hundreds digit of (-120 - g)\/(-2 - -5)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15242.5 * 8786\nAnswer: -133920605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyllyyylylyl. Give prob of picking 1 l and 2 y.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 220147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28399548.\nAnswer: 2, 3, 2366629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + a - a)*(-5*a**2 + a**2 + 5*a + 5*a**2 - 1)*(2*a - 4*a + 0*a) in the form c + u*a**2 + g*a**4 + w*a**3 + b*a and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-882)\/111)*188\/376\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.734843 litres in millilitres?\nAnswer: 5734.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-396)\/154)*(-2)\/(-196)*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 404852217 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + 93. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659924752 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -1296, -2308, -3752, -5772, -8512?\nAnswer: -12116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f8d24 (base 16) in base 12?\nAnswer: 411970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27132 and 237524?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q + 8*q - 10*q + (0 + q + 0)*(-15 - 7 - 18).\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146910 and 75945?\nAnswer: 8961510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 - n - 1. Suppose -6*u + 2 = -4. Let h(w) = 3*w**3 - w**2 + w + 1. Let d(v) = u*a(v) + h(v). List the prime factors of d(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13419 and 3?\nAnswer: 13419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -449 - -461 - (30 + (-2 - -3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 16*j**2 + 48*j - 57. Calculate f(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38017, 304161, 1026579, 2433409, 4752789, 8212857, 13041751, 19467609?\n\"Answer: 38023*u**3 - u**2 - 14*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7495*o**5 - 2*o**4 - 5*o**3 - 92322*o**2 + 2 wrt o.\nAnswer: 449700*o**2 - 48*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*j - 48 = -155*j. Let b = 9 - 6. Solve 7*t = b*t + j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1891645 years in months?\nAnswer: 2.269974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:24 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56770764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 27 = -5*q, 5*t - 18 = -q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*45*325\/(-975)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-70)\/(-4) - (-2)\/(-4). Let a = -159 - -168. List the prime factors of (h\/(-4))\/(a\/(-36)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -0.0880218.\nAnswer: -0.1180218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*d - 5 = 0, -30*h - 15 = -26*h + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(10)\/sqrt(2)))\/(sqrt(54)\/sqrt(294)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -105.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 370*x. Let c(p) = -161*p. Give c(q(d)).\nAnswer: -59570*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673\/5 + 135. Let i = 0.29 - 0.09. What is the third biggest value in 1\/2, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/133 and -47\/190.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**4*t)\/t))\/(t*t\/(t\/(t*t**(5\/6))*t)*t)*t**(-4)\/t**(-1\/15)*t**(-1\/5)\/(t**(2\/15)\/t)*(t*t\/t**(1\/4)*t*t)**38 assuming t is positive.\nAnswer: t**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 22766139?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((101358\/(-15))\/3)\/(4\/(-10)). Suppose -1704 = -9*y + i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2390\/(-4))\/(-5)*-6. Let y be 4\/10*v\/(-4). Let r = y + -72. Calculate the common denominator of r and 2\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -33*f**2. Let j(x) = 4*x - 6. Let h(n) = 24*n - 32. Let o(w) = -3*h(w) + 16*j(w). Give o(y(g)).\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*s + 14, 3*b + s + 4 = 2*b. Let y be b - ((-6)\/21 - 3). Let x = 0.25 - 0.3. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 276 - 253. Suppose 0 = -6*h + k + 13. Solve 7*b = h*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14344 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102120 - -10?\nAnswer: -102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, v: 2, x: 5, r: 1, y: 1}. Give prob of sequence xrry.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7 - 3*n + 8*n + 6 + 8*n + n. Let x = 3 - -2. Is h(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p - 165. What is the lowest common multiple of y(33) and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11865 and 94920?\nAnswer: 94920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-20)\/24)\/((-8)\/(-16)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 582870392*q**2. Let b(x) = x**2. Determine c(b(l)).\nAnswer: 582870392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253.4082 - 221.264. Let l = x - 13.14246. Let i = l + -19. What is i rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2 (b) 4 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2567460*r*t**3 + 2834*r*t**2 + 2*r*t + 104*t wrt t.\nAnswer: 15404760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4267 + 4301. Let w = -15 + 66. Calculate the greatest common divisor of w and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3880?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -13)\/((-1)\/19)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63\/8 + 1\/8*a**2 - 1\/4*a.\nAnswer: (a - 9)*(a + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 89*p - 62. Suppose 3*x + z = -3*z + 16, x - z = 10. What is the units digit of m(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689003, -689002, -689001, -689000, -688999, -688998?\nAnswer: -688997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 6*c - 8*c to the form q + h*c and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -6. Solve -2*d - 2 = -q*n + 2*d, -2*n + 2*d = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 - 48*h + 61. Determine p(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/43))**(1\/26)\/(j*(j\/(j*j*j*j**(-3\/5)\/j*j))\/j*j)**(2\/93) assuming j is positive.\nAnswer: j**(1771\/259935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Let l = 4 - g. Suppose l = 3*s - 0*s - 105. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**0)**9)**41)**25)**(-1) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.54 + 1.54. Suppose 0 = -3*y - o + 22, o - 6*o + 14 = -y. Let n be 3 + ((-21)\/y - 0). What is the third biggest value in 4, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -2*c**3\/3 + 5*c**2 - c. Is p(-18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79674792 is divided by 328.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -189, -290, -397, -510, -629, -754?\n\"Answer: -3*j**2 - 86*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420345 by -248.\nAnswer: 420345\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 84 = 0. What is the units digit of 8\/z + (-47)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - sqrt(22))*-3 + sqrt(22))\/(sqrt(128)*2))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 5*g**2 - g + 0*g**2 + g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2264837 or 2264834?\nAnswer: 2264834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.105369 hours to seconds.\nAnswer: 14779.3284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 2*g)*(-2529 + 2529 + 129*g) + (-3*g + 5*g - g)*(0 + 0 + g) + g**2 + 56 - 56.\nAnswer: 389*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 2. Let f be r(5). Let q be ((-3)\/f)\/((-3)\/20). Suppose q*x - 5600 = 5*x. What is x rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b9438 (base 14) to base 15\nAnswer: 201739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 8 in increasing order.\nAnswer: -6, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0306 and 10.\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327616.\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**6\/105 + 3*j**5\/35 + 11*j**4\/42 + 2*j**3\/7 + 29*j. Let f(u) = 0. What is u?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let o(m) = 7*m**g + m**3 + 3*m + 6*m - 4 - 5*m. Let r be o(-6). What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23313 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4609 is divided by 766?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.3 (c) 7246 (d) 5 (e) -3 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 2, u: 3, q: 1, k: 1, g: 3}. What is prob of sequence uqku?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**7\/7560 + d**6\/3240 + 20*d**3\/3 + 2. Let q(n) be the third derivative of p(n). Solve q(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35\/6*o + 11\/6*o**2 + 25\/6 + 1\/6*o**3 = 0. What is o?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7458*a + 220 = 7478*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from zezezezzzzqq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/60 - b**3\/6 + 5*b. Let s(j) be the second derivative of g(j). Let k(x) = -5*x. Determine s(k(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30254 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 - 133*v + 82. Let g be x(16). Which is the fourth biggest value? (a) 0.5 (b) -4 (c) 0.09 (d) g (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-84))\/((-5)\/(-8)). Let v(g) be the first derivative of 0*g + 2\/3*g**2 + 0*g**4 + 2\/3*g**3 - n*g**5 - 2. Factor v(w).\nAnswer: -2*w*(w - 2)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2306 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from {l: 15, k: 5}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*2\/(-3). Let f be (y + (-14)\/2)\/(-2). Find the first derivative of -b**3 - 1 + 3*b**3 - f*b**3 wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*r + 31, 3*r - 14 = -2*x + 5. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76\/123 + -2\/41. Let c = -2.3 + 1.3. What is the nearest to c in -41, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 - f**4 - 4*f**4)*(-4154 + 606 + 721 - 1579).\nAnswer: 4406*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6170, 24784, 55834, 99314, 155218?\nAnswer: 223540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 45982736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1264157496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 2, o: 4}. What is prob of sequence opoo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 119 (b) 1 (c) -24\/17 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 13376 = -6*n + 2*n, -5*n - 5*r + 16705 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzdmmxdozddmmde. What is prob of picking 1 x and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 432*g**2 - 352*g + 17795. Give n(-217).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/17 + 1826*u\/17 - 95984\/17.\nAnswer: -2*(u - 857)*(u - 56)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k - 14 = 0. Let l(f) = 0 - 4 - f**2 + k*f + 5*f. List the prime factors of l(8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 2\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:45 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/9 bigger than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*x + 10, 3*x - i = -x + 5. Let p be 3*(-4)\/6 + 4. Let o(m) = -2*m**2 + 3*m - 1. Let t be o(p). Put 3, t, x in decreasing order.\nAnswer: 3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 11523*u - 114930 = 0.\nAnswer: 10, 3831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2 + 1146*y - 92115 = 0?\nAnswer: 115, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/156 and 49\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Let z(y) = y - 2. Suppose -3*q = -5*q + 10. Let g be z(q). Solve -2 = -k*s + g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-4) - 16\/32. Suppose 3*q + 127 = 8*q - n, -3*n + 69 = h*q. What is the smallest common multiple of ((-60)\/q)\/(3\/(-10)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u - 3. Suppose 6*f = 3*f. Let j be i(f). Let y be -3*(1*-3)\/j. Does -4 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 389, 1151, 2625, 5045, 8645, 13659, 20321?\nAnswer: 28865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*g**5 - 3*g**4 + 603025*g**3 - 455017804*g wrt g?\nAnswer: 460*g**3 - 36*g**2 + 3618150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 1. Let v be -6*(-3)\/(4 + -1). Suppose -5*z = 5*n + 25, -2*z - v = n - 2. Let y be d(n). Solve -5*h - y = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 123985, 495952, 1115893, 1983802, 3099673, 4463500, 6075277, 7934998?\n\"Answer: -w**3 + 123993*w**2 - 5*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*f + 7393 = -674 - 15903 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 + -0.3. Let x = 290 - 2026\/7. Sort n, x, 5 in increasing order.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 + 5*g**2 + 96. Let b(v) = -v**3 - v**2. Let o(m) = 5*b(m) + i(m). Let f be o(0). What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111423205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*-30*1\/(-50). Let k(x) = -x**3 - 2*x**2 + 3*x - 6. Give k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-16)\/(-2) + -7. Suppose -888 = -2*v + 4*b, 2*b + 11 = 3. List the prime factors of 4\/((-48)\/v)*q.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 50309.9 centimeters?\nAnswer: 503.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = -5*r - 21, -3*r = 6. What is the units digit of (32\/12 + m)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870486 is divided by 72444.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*10*6\/63*-1. Let g = -2497 - -17487\/7. Factor 2\/7*o**3 - g*o**4 + 2\/7*o**5 - 16\/7 + y*o**2 - 8\/7*o.\nAnswer: 2*(o - 2)**3*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*b, 12 = b + b + 2*v. Let d(z) = -z**3 + 4*z**2 - 2*z - 2. Let y be d(2). Solve -b*c = y*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4090 and 14.\nAnswer: 57260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/(5\/(-1))*(-26733)\/35. Calculate the greatest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05678705 from -470.18.\nAnswer: -470.12321295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, 0 = 4*u + 3*v - 4 + 5. Which is greater: 13.8 or u?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4797597249?\nAnswer: 3, 177688787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*i**2 - i - 19*i**2 - 7 + 8 + (4*i - i - 4*i + 6)*(i + i + i).\nAnswer: -6*i**2 + 17*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4692 is divided by 814?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4*f*x - 50888696*b**4*f - 2*b*f*x - 21434137*b*f wrt b?\nAnswer: 24*b**2*f*x - 610664352*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 6*g - 29. Suppose 0 = -3*v + g - 1. Let i = 23 + v. Solve -5*k + q - 5*q = -17, -i = -5*k + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 460\/101559 or 0?\nAnswer: 460\/101559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5\/3 - 2663*a**4\/3 - 80390*a**3\/3 - 641867*a**2\/3 - 700364*a\/3 - 136220\/3 = 0.\nAnswer: -14, -1, -1\/4, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535295*q + 64 = -6*p - 535288*q, -5*q = 3*p + 49 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-756)*27)\/(213\/(-495) - (-44)\/110)\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -4, 12.786, -0.02, -317\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 times -5278?\nAnswer: 11627434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 292*j + 1425. What is v(-5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -28640429?\nAnswer: 28640425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from {g: 2, t: 1, f: 1, z: 2, k: 1, c: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -3. Suppose 8*l = y*l - 15. Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/((17 + 1886\/(-115))\/(6\/(-20))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15918?\nAnswer: 2, 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0 (c) 0.1428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22\/33*(-30)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*j - 4 + 31, -4*j = -2*s + 26. Suppose 0 = 5*u - 2*n - 50, 2*u - s*n - 19 - 1 = 0. Calculate the remainder when 109 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 117*h**2 - 841*h + 265. Give q(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12178 (base 9) to base 12.\nAnswer: -488b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 2. Let j(s) be the third derivative of s**4\/8 - s**3\/6 + 2*s**2. Determine j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 - 1)*(d - 4*d + 2*d) + (-d + 4 - 4)*(4 - 5 - 16) as p + c*d and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3467325?\nAnswer: 3, 5, 83, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230252 (base 6) in base 9?\nAnswer: -110725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62666851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + k = -15, -21*k + 24*k = 3*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 5. Let j be m(0). Let r(i) = 5 - 3 - 11*i + 1913*i**3 - 9*i**2 - 1916*i**3 + 4. Is r(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80778896231767 + 0.02\nAnswer: -80778896231766.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25100 (base 6) to base 16\nAnswer: e7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0353245 times -0.5?\nAnswer: 0.01766225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**3 - u**2 - u + 1. Let l(q) = q + 7. Let j be l(-6). What is the smallest common multiple of s(j) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-2\/19)*s)\/s*s**(-14)*s**23\/s**12)**22 assuming s is positive.\nAnswer: s**(-374\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48152150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105150\/(-125)*30\/(-9) is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6225 and 148980?\nAnswer: 61826700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:41 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from uuuupuupuuuupuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u. Let b(z) be the second derivative of 19*z**5\/120 + 3*z**3\/2 - 3*z. Let h(n) be the second derivative of b(n). Calculate h(m(l)).\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 183404 and -3376.\nAnswer: 180028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436111054.\nAnswer: 2, 218055527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from xdx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4 - 2. Let s = -8 + 5. Let p = -6 - s. Is p bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52065 + 3?\nAnswer: -52062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-5) + -4 + 1. Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -34*m**3 + 5*m**2 + 18*m + 35. Suppose q - 69 = -h, 3*q = 3*h - 7*h + 281. What is the remainder when s(-2) is divided by h?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((16\/33 - 8\/12)\/((-688)\/32164)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2138 in 4, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 6*j**2 - j - 5*j**2)*(-2*j**3 - 2 + 2).\nAnswer: -8*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 249, 5, 0 in decreasing order.\nAnswer: 249, 46, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 a when four letters picked without replacement from uaauasuuu.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 + 70*n**2 + 193*n - 296. What is s(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*240\/(-72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(1 - 1 + 5*m + (0 + 0 + 1)*(3 - 3 - 6*m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44314 by 2.\nAnswer: 22157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(14\/(-18))*(-14)\/(-6). Let w = -17 - b. Suppose 8*r - w*r + 5*y - 434 = 0, 5*y + 565 = 5*r. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -129 (b) 2 (c) -5 (d) -0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-1 + 2 - 0) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 plus -1335449?\nAnswer: -1335044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 528*k**5 + 4229*k**4 - k**3 - 24936046*k**2 wrt k.\nAnswer: 31680*k**2 + 101496*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Let f = 11 - 6. Solve 2*x = l + 7, -i*x + f*x + 5*l = 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 31*f = 18*f + 540 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13599 - -13599. What is the second smallest value in 820, d, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -16 + 2 + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 232 - 377. Suppose -r*b = -74 - 13. Solve -t - 28 = 5*j - 0*t, 6 = -3*j + b*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*n + 49*n + 55*n - 1 + (3 + 2 - 4)*(12*n + 0*n - 2*n).\nAnswer: 124*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 0 + 292*y - 1089*y - 2*y**2 + 7 - 723*y in the form b + q*y**2 + l*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102211 (base 3) to base 13.\nAnswer: -11aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -276, 269?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, 0.5, -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 2*m - 3. Let f be z(3). Let w be (f\/(-105))\/(4\/10). What is the nearest to -0.4 in w, 1\/5, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-15))\/(-9)*(-60)\/888.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + b**2 + 2*b + 3*b**3 - 6 + 4 - b as f*b + d*b**3 + r + n*b**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3233, 1, 2, -4.\nAnswer: -5, -4, 1, 2, 3233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -49428.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -352405.42 to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210210010 (base 3) to base 6.\nAnswer: -201303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffoofofoo. What is prob of sequence foo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 484927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose y - 5*t + r*t - 7 = 0, -4*t = -3*y - 12. Let c(s) = -3*s - 17. Let m(i) = -2*i - 11. Calculate y*m(h) + 5*c(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - (-298)\/(-14). Let u = 26 + o. Suppose 2*m - u*g = 44, -6*m = -m - 4*g - 76. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.398.\nAnswer: -1.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -663728853.\nAnswer: -663728854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99067 and 148?\nAnswer: 14661916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1802730.\nAnswer: 2, 3, 5, 60091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(16\/(-680)*210\/(-168)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-2)\/76). Let c(r) = -22*r + 55. Let q be c(-7). Calculate the greatest common divisor of q and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 10. Let f be (2\/4)\/((-13)\/4). Let o = 0.7 - 1.3. What is the smallest value in l, o, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-13) + -2 + (3125\/390 - 8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 1164153.\nAnswer: -18\/388051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**4\/6 - 7*y**3\/3 + 21*y**2. Let h be w(-8). Is 12 a factor of -6*h\/((-4)\/((-24)\/(-9)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = b, 4*o - 8 = 5*b - 3*b. What is the units digit of 12 - ((b - -2) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/7? (a) -2\/23 (b) -5 (c) -0.461 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from aaroagrrarg.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97570 and 21208?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*g**2 + 3035*f**2*g - 2*f*g + 2*g**2 - 4*g + 810 wrt f.\nAnswer: 6*f*g**2 + 6070*f*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1737\/(-21) - -6) + 1. Let m = y + 76. Sort -1\/2, -11, -2, m in increasing order.\nAnswer: -11, -2, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2543*h**4*x**3 + h**4*x - 5795*x**3 + 1 wrt h.\nAnswer: 10172*h**3*x**3 + 4*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7586*t = 7651*t - 15287*t + 3550 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 214353030 (base 7) in base 6?\nAnswer: 1140115013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 107 - (1*(-4521)\/297 + 16\/72)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 5 (b) 4 (c) -1\/3 (d) 0.01 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - a - 1. Let t(m) = -16*m**3 + 2*m**2 - 6*m + 39. Determine -6*s(r) + t(r).\nAnswer: 2*r**3 + 2*r**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2635765 litres to millilitres.\nAnswer: 263.5765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1904485036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -5\/6*h**3 - 18 + 2*h + 45\/2*h**2 + 1\/4*h**5 - 15\/4*h**4. Find i such that c(i) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 0, -3*c - 5*q = -c + 3. Let u be 2\/7 - 45\/42. Let n = -5\/7 + u. What is the closest to 0.1 in n, -3, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*a - 23*a - 35*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -1.05. Let b = d + -1.4. Let h = -0.0226 + 9.0226. What is the second biggest value in -0.2, b, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t. Let f(r) = r**2 - 2. Let l(a) = 1. Let h(q) = 3*f(q) + 6*l(q). Calculate c(h(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3))\/(o*o**(2\/9)))\/(o**(2\/7))**(-2\/19) assuming o is positive.\nAnswer: o**(-3821\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + o + 7, -9*i + 4*i = -2*o + 16. Let l be 1\/(-126)*-18 + 50\/42. Put 4\/15, l, 3, i in decreasing order.\nAnswer: 3, l, 4\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 0)*(5 - 5 + 2*q) + 3*q + 3*q + 4*q in the form a*q + l and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and 2.04?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30532345 a multiple of 815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 1. Let a(s) = -18*s**2 + 3*s + 2. What is -a(j) - 2*y(j)?\nAnswer: 16*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/387)\/(6*68\/(-54))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)\/((-16)\/(-4) + -6). Solve g = z, 4*a = 2*g - 1 - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 11*q**2 - 31*q + 336. Give z(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-12) + (0 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-43)*b)\/b)\/(b**32\/b))\/(b**(1\/75)*b**6\/b) assuming b is positive.\nAnswer: b**(-5926\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z. Let o(p) = p**2 + 6*p - 4. Let t(s) = o(s) - 6*y(s). Differentiate t(c) with respect to c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 831215 = 831214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(45) + (sqrt(5) + -1*sqrt(5))*-5)**2 + ((sqrt(100)*2)\/sqrt(5))\/(sqrt(4) - -6*sqrt(16)).\nAnswer: 2*sqrt(5)\/13 + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = -5*h. Put h, 4, -1, -4 in ascending order.\nAnswer: -4, h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181310 > -1319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let h = 56.054 - 56. Let c = h - 0.044. What is the third biggest value in g, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Suppose -12 = 336*y - 338*y. Let x(s) = -10*s + 3. Let u(f) = 9 + 4 - 2 - 39*f. Let m(p) = y*u(p) - 22*x(p). What is m(d(q))?\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.077974 + -0.078. What is p rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -18 (c) 41\/2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 9:32 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/9)*x)\/x*x*x)**(1\/22)\/(x**(-4\/9)\/(((x\/x**(-3))\/x)\/x)) assuming x is positive.\nAnswer: x**(57\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:42 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3)*1\/11. Which is the second biggest value? (a) 4 (b) -4\/7 (c) 1\/6 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1514891 and 53\/588.\nAnswer: 127250844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (-8 + -9 + 18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15 - (17\/25 - 1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 2*j)*(10*j + 19*j + 12*j).\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/1 - (2 - 60\/3). Let a be -29*2\/(10\/s)*-1. Is 86 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 3 - 3)*(-30*i + 21*i - 1 + 9) as r + q*i**2 + h*i and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2*p**3 + 2*p**3)*(-3*p - 3*p + p) + 0*p**4 + 11*p**4 + 0*p**4 - p**4 + p - p + (2 - 4 + 1)*(-5 - 40 + 21)*(-2*p**4 - 4*p + 4*p).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8218589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11819129 by 7.\nAnswer: -1688447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*k + 4)*(0*k - k + 3*k) - 42*k**2 - 3 + 3 + (4*k - 4*k + k**2)*(0 - 6 + 4).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52835890 to the nearest integer?\nAnswer: 7269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 74 = 4*c, -4*q + 14 = -c - 2*q. Let t be (-4)\/c + (-583)\/(-9). What is the greatest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/5, -1\/14, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 7 = 31 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 4. Let o(u) = -u**3 + 5*u**2 + 7*u - 3. Let z be o(f). Suppose -z = -r - 0. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6dc7e (base 15) in base 7?\nAnswer: 2656463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -65. Let f = 63 - w. Suppose -f*b - 5 + 13 = 0. Calculate the greatest common factor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 57, 60, 63, 66?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2)**(2\/3)\/((m\/(m**(1\/4)*m))\/(((m**(-1\/18)\/m)\/m)\/m)))**11 assuming m is positive.\nAnswer: m**(-319\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 423023055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1221 by -33.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01757805267 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22382 is divided by 22378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10478 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*t + 170 = 169, -5 = 2*g + 3*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9 = 0, 5*d - 9 = -2*t - t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -945 divided by 1\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 17*v**3 + 2*v**2 - 1. Let u be ((-2)\/8)\/((-1)\/4). What are the prime factors of b(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20325991.78 to the nearest ten thousand.\nAnswer: -20330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(1\/2)*(((l**(3\/5)*l)\/l)\/l)\/(l*l*l**1*l*l)*(l**(-2\/5))**3\/(l*l\/(l\/(l\/(l*l\/l**(-3\/7))*l*l))*(l\/((l**7\/l)\/l)*l)\/l) assuming l is positive.\nAnswer: l**(-257\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 + 3567*n**2\/2 + 14265*n\/4 + 1783 = 0. Calculate n.\nAnswer: -7132, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -26*p**2 + 4*p. Let t(i) = 54*i**2 - 7*i. Let w(x) = 7*a(x) + 4*t(x). Let j(c) = -3*c**2. Determine w(j(l)).\nAnswer: 306*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssiaqqv. What is prob of sequence vq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/265909 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/456603 and 37\/51?\nAnswer: 456603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*i = 6, -4 = -r + 2087*i - 2089*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 40, -2, -82, -212, -404, -670?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274 + 277. Calculate the remainder when (-2)\/(-4)*(13 + -1) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 37699.\nAnswer: -26\/37699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254 + -239. Suppose -5*d - 37 = -z, d + 4*z + 9 + 11 = 0. Let i be 2\/d + 2\/8. Solve -p = -4*j - i*j + l, 14 = 2*p + 3*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 22721522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-35)*(-103509)\/(-4929)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13317 - -2516932\/189. Calculate the common denominator of -95\/42 and s.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 4. Let w(x) = -x - 2. Let a be w(-2). Suppose a = -2*v + 6. What is the remainder when 12 is divided by b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -93. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14*n. Let l(u) = 19*u**2 + 1. Determine l(w(z)).\nAnswer: 3724*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 5:01 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10 (b) 1 (c) 6338\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*m**3*s**3*z - 2*m**3*s**2 + 377*m**3*z + 5*m**2*s - 68*m*z - 2028*s**2*z wrt s.\nAnswer: 114*m**3*s*z - 4*m**3 - 4056*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*r + 369*r - 731*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2297 - 4.2297. Let c = -25.4 - -25. What is the biggest value in c, s, 9, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 732 + -699 + -25 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59381 = -64*n + 71*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/3 + m. Let x(s) = 6*s. Calculate x(o(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/3 + 3*t**2\/2 + 3*t. Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -586, -760, -866, -904, -874?\n\"Answer: 34*y**2 - 276*y - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384951?\nAnswer: 3, 7, 23, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44215204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/2 - 44*k**3\/3 + 727. Factor i(c).\nAnswer: -2*c**2*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*c**3 + 20650*a*w - 57*c**3 + 4*c**2*w + 81*c wrt a?\nAnswer: 4*c**3 + 20650*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -115, -258, -459, -718?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 36. Let s(d) = -d**2 - 20*d - 44. Calculate the remainder when s(j) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21395000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m**3 - 4*m**2 + 4*m**2)*(89 + 3*m - 89).\nAnswer: 3*m**4 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 3*u**2 - 12*u + 11. What is j(-7)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from ddddttd?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 620b?\nAnswer: 6208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 3. Suppose 3*g = y + 18, -g - 10 = 3*y + g. Let j be v(y). Let p be 1 + j + (-2)\/2. What is the highest common factor of 27 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*l - 2*f, -l + 84*f = 87*f - 37. Solve 8*z + 24 = -l for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*q = -7445, -4*j - 7420 = -9*j + 2*q. Let o = j + 14. Suppose -3*w + o = 360. Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3591452.7 * -2\nAnswer: 7182905.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 25*s**2 + 29*s - 14. Determine b(-26).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22065.\nAnswer: 3, 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 1437.\nAnswer: 7185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00937 - 539.\nAnswer: -539.00937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 5)*((-2 - 2 + 2)*(4*m - 5*m + 0*m) - 1 - m + 1)*(1 + 1 - 1)*(8 - 3 - 2) to the form a + d*m and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b**3 + 4*b**2 - 55*b - 188. Give k(-3).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/32064 and -5\/594?\nAnswer: 3174336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (sqrt(20)*-2)\/sqrt(10) + -5 + ((sqrt(64)\/sqrt(2) + (sqrt(2) - (sqrt(72) + -1)))**2 - (-1 + -1 + sqrt(2) + -4)).\nAnswer: -5*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1391920 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/21)\/4)\/((-2)\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102110529 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Solve -n + 5 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*l = -0*w - 16, -5*w = -5*l - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88666 - -88875. Let t = 47 + -14. Calculate the highest common factor of t and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8785 divided by 743?\nAnswer: -8785\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n - 394 - 582 = 1304 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 2, 3, 0, 494, 462 in ascending order.\nAnswer: -15, -1, 0, 2, 3, 462, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**5 - 634*r**4\/3 + 518*r**3\/3 + 104*r**2\/3 = 0.\nAnswer: -1\/6, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -37, -57, -79, -103, -129?\n\"Answer: -l**2 - 15*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 1035.028.\nAnswer: 62.10168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.028 + 0.028. Let c = -34 - -29. What is the second biggest value in 4, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -116. Suppose z*u - u - 28 = 0. Let 9*l**4 - 18*l**4 + 20*l**3 + 5*l**u + 16*l - 32*l**2 = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 13. Let a = 30 + b. Let w(o) = -o**3 - 6*o**2 - 4*o - 4. What is the remainder when a is divided by w(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-8))\/(312\/(-120))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 270.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 254.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883206.\nAnswer: 2, 13, 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 220871090 to the nearest 1000000.\nAnswer: 221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 15*v**2 + 16*v + 3. Let z = 24 + -8. Let i be q(z). Solve 4*f + 11 = -i*g, -f + 1 = -2*g - g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*g + 49*g - 67*g + 781 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*c**3 + 21*c**2 - 126991*c wrt c?\nAnswer: 414*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*10\/500*-35?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -9*f**5 - 5*f**3 + 7*f**5 - 2*f**4 + 4*f + 3*f**5 + 10*f**2 - 8 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.69, 0.018, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*j - 3*j + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-1\/5)\/v)\/v)\/(v\/(v\/v**4))*(((v\/(v\/v**(2\/19)))\/v)\/v*v)\/(v\/(v*v*v**0)))**(14\/3) assuming v is positive.\nAnswer: v**(-5446\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4 = h, -4*h + 76810*i - 76812*i = 44 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3\/12 - 5*b**2\/8 + b - 12. Factor a(y).\nAnswer: (y - 4)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 55 + 135 + 2*v.\nAnswer: 2*v + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*n, -n - n = 10. Sort p, 0, 3.\nAnswer: 0, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6313 - 4?\nAnswer: 6309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/2 - (-3 - -4). Let b(t) = -t**2 + t + 2. Let n be b(k). Suppose -4 = -p - n. What is the remainder when 13 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175886332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*l - 4*v, v + 1 + 3 = l. Suppose -17 = -2*f + 3*n, 43*f - 41*f - 4*n - 18 = 0. Solve m - 5*h = f, -m - h + l = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -259*m + 181 - 361 + 180 - 221*m to k + r*m and give r.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - o = 589 - 573, -2*q + o = 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 374, -4 in ascending order.\nAnswer: -4, -0.4, 3, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153639 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 406.05581 to the nearest integer.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-2)\/(-20)*6 + (-2034)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 8*o**3 - 220*o**2 - 224*o.\nAnswer: 4*o*(o - 7)*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0207763 rounded to 4 decimal places?\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 21*i**3 - 47*i - i**2 + 13*i**3 + 25*i**3 + 2*i**4 + 40 to k*i**4 + f*i**2 + b + p*i**3 + x*i and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3250 - 2945.19. Let d = 307 - h. Let z = 2 - d. What is the second smallest value in -0.1, z, -5, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 7*h**5\/66 - h**4\/22 - 8*h**3\/33 + 40*h**2. Factor z(b).\nAnswer: 2*(5*b + 2)*(7*b - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 6 + s**3 + 793*s**4 - 791*s**4 + 0 + s**2 + s in the form n*s + k*s**2 + h*s**4 + l + b*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaffff. Give prob of picking 1 a and 1 f.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414 + -408.98. What is w rounded to one decimal place?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s - 75 = 0. Suppose -s = -2*f - f. Solve -1 = v + 2*r - 10, v - f*r + 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 364 - 360. Let j(b) = 4*b + k - 3*b - 5 + 4 - 2. Let a(h) = -3*h**3 - 4*h. Determine -a(o) - 2*j(o).\nAnswer: 3*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 12*d - 2. Let s be k(-6). Let r be ((-1)\/s)\/(2\/20). Find the third derivative of -5*l**2 + r*l**3 + l**3 - 7*l**3 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 5, a: 2, q: 4, f: 2}. Give prob of picking 2 f and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 + -246. What is the second derivative of -l*b**2 + 85219 + 44*b**2 - 85221 + 173*b wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -12*s**3 - 132*s**2 - 223*s - 2448. Determine v(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 1234, 4259, 10196, 20029, 34742, 55319, 82744?\nAnswer: 118001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2299588884 to five dps.\nAnswer: 0.22996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/8 - 7*k**2. Let b = 3 + -3. Let u(s) = b*s + 3*s - s. Calculate c(u(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let q(d) = 16*d - 5. Let n(p) = 5*c(p) + q(p). Let i(s) = -s**2. Determine i(n(a)).\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -69*n**2 - 2204*n + 177. What is c(-32)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jazssoaajaj. Give prob of sequence ss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*c + 28, 5*b - 2*c - 3 + 97 = 0. Let p(o) = -2*o + 57. Calculate the remainder when p(b) is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49899901 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -32, -82, -154?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 496340 divided by -166\nAnswer: -2990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4513 + 4542. Solve -2*o + 2*s + 6 = 0, n*o - 33*o + 2 = -2*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 3*i**2 - 4*i**2 - 3*i**2 to the form t + p*i + o*i**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 + 170.9. Let n = m + 1.5. Let s = n + 0.6. Which is the smallest value? (a) 0 (b) 1\/10 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*d = -4, 15*n = 11*n + d - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c - 14. Let y(b) = -27*b - 42. Let t(f) = 8*u(f) - 3*y(f). Let l be t(-2). Sort 4, l, 18 in descending order.\nAnswer: 18, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**2 + 10 + 2*d**2 - 22 wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*p + 45*p**2 - 139 - 233*p + 120*p with respect to p.\nAnswer: 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u - 12*u + 3 = -129*u + 2*t - 1, 3*t = 4*u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 122064 divided by -20344\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 25. Let j(l) = l**2 + l + 1. Let p(w) = -1. Let f(i) = a*p(i) - j(i). Let o(r) = -2*r**2 - 3*r. Give -5*f(k) + 2*o(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:48 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.61 times 1165?\nAnswer: -77600.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76756 or 76758?\nAnswer: 76758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1118\/(-215))\/((-54)\/(-270))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -43. Let w be 1\/(6\/c + 1\/(-4)). Suppose 4*h + a = 592 + 249, -h + w*a + 208 = 0. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4) - (7 - 12). Which is the nearest to i? (a) 0.2 (b) 1 (c) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - f + 13. Let b be m(-7). Let g = -317\/11 - b. Let k be -2 - -2 - (-6)\/1. Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 811751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-436)\/28 + 9\/(-21). Let o = z - -20. Solve 0 = 3*n - o + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/((3\/(-1))\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 + 1795*k**3 - 10905*k**2 + 16425*k = 0.\nAnswer: -365, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -17*y**2 + y + 3. Let l(j) = -17*j**2 + 4. Let i(h) = -4*c(h) + 3*l(h). Find the second derivative of i(m) wrt m.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404142433 (base 5) in base 4?\nAnswer: 12032030101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12 and 23\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.9 - -10.8. Suppose 0 = -h, 0 = -4*x + 3*h + 2 - 6. Let z be -1*1\/(x - -2). Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 28 + -27 + (-5 - (17 + 1) - 2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 3. Let w be n(-6). Calculate the lowest common multiple of 12 + (12\/(-2))\/w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(10)\/(-2*sqrt(2)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/8 + s**3\/2 + 3*s**2. Let k be i(0). Solve -2*t + k*t = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let i(g) be the second derivative of 17*g + 7\/6*g**3 + 1\/3*g**4 + 0*g**2 + 0. Determine i(t(c)).\nAnswer: 16*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5 times 422992?\nAnswer: -2749448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (32 + -53 - -59)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 14. Suppose -a = -3*p - 4, 5*r + p + 11 = 0. What is r rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 - (0 - (-2 - 1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 13*m**2 - 4*m + 13. Let n be b(-10). Let d = -83503\/18 - n. Find the common denominator of -125\/18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ea (base 15) to base 13.\nAnswer: 13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 149\/4. Let b(n) = -n - 3. Let c be b(-5). Let o be (-4)\/180 + c\/(-10). Put k, 5, o in ascending order.\nAnswer: k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y\/y**(-17\/5))\/y))\/(y\/(((y*y*y**(5\/2)\/y*y)\/y)\/y)*y)*y**26*y**(-5) assuming y is positive.\nAnswer: y**(171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1) + -1 + -2. Let w = b + 0. Let k(v) = -v + 1. Let t(c) = 6*c + 1. Let i(u) = -5*k(u) - t(u). Calculate i(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*q**2 + 36*q**2 - 14*q**3)*(-17*q + 7*q - 8*q)*((1 + 0 - 3)*(3 - 2 - 2) + 1 + 0 + 1) as j*q + y + n*q**4 + f*q**3 + x*q**2 and give n.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 15*n - 36. Let y be l(-3). Suppose -12 = -5*p - c + 2*c, -3*p - 3*c = -y. Solve p*z = 6*z - 3, -4*o - 5*z + 21 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 67. Let g be w(31). Suppose 0 = -4*o - 5*v + 634, -312 = 21*o - 23*o - g*v. Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.095 + -0.095086. What is q rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 4. Suppose 5*g + b = 16. Solve 2*v + 2*v + v**g - 5*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*x**3 + 0*x + 32*x**3 + 2*x to the form j*x + v + q*x**2 + o*x**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -2\/173, 0.058, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4430646116?\nAnswer: 2, 13, 1471, 57923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 3. Let j(w) = w**2 + 9*w + 9. Let a be j(-7). Give y(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.11669\nAnswer: 0.058345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*n - 11*n + 8 + 2*n wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133530694*q**3 + 270399832*q**2.\nAnswer: 801184164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 61*h**2 + 25 - 56 - 61*h**2 - 2*h**3 as n*h + t*h**3 + g*h**2 + p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51.7077 millilitres?\nAnswer: 0.0517077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6165159 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2066, 2039, 2002, 1949, 1874, 1771, 1634, 1457?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9582, 9586, 9592, 9600, 9610, 9622, 9636?\n\"Answer: q**2 + q + 9580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/180 (b) -0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 877447717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2\/5, -2\/5, 1\/6 in descending order.\nAnswer: 2\/5, 1\/6, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffyyyfyyyff. Give prob of sequence fyff.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 - 20*h**2\/7 - 32*h\/7.\nAnswer: -2*h*(h + 2)*(h + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let r(v) = -2*v + 11. Let b be r(8). Let w = -1 - -1.3. What is the closest to i in w, b, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759088 is divided by 118.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 65?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.75967 meters to nanometers.\nAnswer: 3759670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6152.598mg?\nAnswer: 0.006152598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3206371\/6 - 531693. Let r = p - 2716. Calculate the common denominator of 93\/28 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -21. Suppose -18 = -2*l + y*k, -5*k - 8 - 12 = 0. Is l at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87250376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/11 - 3*i**2\/11 - 504*i\/11 - 3888\/11 = 0.\nAnswer: -12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4728)\/(-3546) + (-14403)\/2277 + 5.\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yal when three letters picked without replacement from {a: 9, l: 1, y: 9}.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 5\/(135\/(-24)). Let h = 469\/310 - 2\/155. Let t = -169 - -168.89. Which is the third biggest value? (a) v (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u - 40 = -43*u. What is the greatest common divisor of 292 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7586, 29386, 65718, 116582, 181978, 261906?\n\"Answer: 7266*i**2 + 2*i + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - x = -28, m - x + 76 = 6*m. Suppose 2*k + 2 = -a, 2*a + 4*k + 8 = a. Suppose 0*t - 3*q - 12 = -t, -4*t - a*q = m. Are t and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let x be (-136)\/(-120) - (-2)\/(-15) - -2. Suppose 2*n + n = 4*q + 134, x*q + 15 = g. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + (-164 + 458 - 249)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = -3*m - s, 4*s + 40 = -2*m. Let w = 12 + m. Suppose 0 = -0*d - 2*d + w. Are -2\/57 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1956.16305 to one decimal place.\nAnswer: 1956.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 2*a - 4. Suppose -v + 2*y = v - 10, 4*v = -y + 5. Let z(g) = 2*g**2 - 5*g - 9. Determine v*z(t) - 5*n(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 833.73 and -0.5?\nAnswer: -416.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, 24, -2, 3 in decreasing order.\nAnswer: 24, 3, 3\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/15 + 206*j**4\/15 + 394*j**3\/5 - 11006*j**2\/15 - 236*j\/3 + 720 = 0.\nAnswer: -10, -1, 1, 5, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6252 divided by -1112?\nAnswer: -1563\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose 2*w - 33 = -b - 8, 0 = -5*b + x*w + 83. What is the highest common divisor of 76 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 77*h = -50*h. Let s(y) be the second derivative of 0 - 1\/5*y**5 + 0*y**3 - 5*y**2 - 16*y + h*y**4. Differentiate s(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**2\/2 + g - 7. Let n(a) = -3*a - 8. Determine -5*c(h) - n(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42858609 and 70967.\nAnswer: 5459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -63. Suppose 5*k = 323 - 128. Calculate the least common multiple of -4*(2 - k\/6) and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 463, 456, 449?\n\"Answer: -7*v + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Let w be (-14)\/(-6) + (1 - h). Solve 1\/3*j**2 + 0*j - w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1\/(-2))*(-1 + 1). Suppose l = -12*q + 14*q - 8. Solve i = 4*p + 6*i - 32, -q*p + 4*i = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 144. Let w be (-1435)\/(-140) - (-2)\/j. Solve 4*h - w = -2*a, -h - 3 = -4*a + 17 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-3 + 1) - -1. Let n be (-42)\/6 + -1*j. Is 5\/((-15)\/2)*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 96069\nAnswer: 4\/96069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -23*r + 6. Let b(m) = 3 - r*m - 12*m + 3 + 20*m. Let l(p) = p. What is b(l(v))?\nAnswer: 5*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*p + 1061 + 7354 = -31*p - 10*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1770742*n = -1770912*n - 18700 for n.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let x(k) = -1034*k**2. Calculate u(x(n)).\nAnswer: 1069156*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*n + 50, 12 = o - 2*o - 5*n. Suppose -c + r + 19 = -3*r, -3*c = 5*r - 40. What is the lowest common multiple of o and (12\/c)\/((-2)\/(-5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**5\/100 + 127*j**4\/20 + 1984*j**3\/5 - 6144*j**2\/5 + 1005*j. Factor d(k).\nAnswer: 3*(k - 1)*(k + 64)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6303272)\/(-273) - (-1)\/(-3)*-1. Let b = i - 23089. Let t = b + 8\/13. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4709 - 18*l + 4709. Let m(t) be the third derivative of t**5\/15 - 7*t**2. Calculate m(k(p)).\nAnswer: 1296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10193?\nAnswer: 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 13*a**4\/24 - 43*a**3\/3 - 23*a**2. Let o be g(9). Is o smaller than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/25*(-5)\/(-2). What is the units digit of w\/(9\/12*4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)\/(7\/(-14)). Let g be 0\/(-3) - (d - -2). Solve -9 = g*j + 3*i, 2*j - 4*i - 4 = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiikiii. What is prob of picking 2 i and 1 k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2274220 or 2274216?\nAnswer: 2274216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o**3 - 116*o**2 + 9*o + 152. Let r(s) = 2*s**3 + 27*s**2 - 2*s - 38. Determine -2*b(x) - 9*r(x).\nAnswer: 2*x**3 - 11*x**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*6 + -6*(sqrt(11)*2 - sqrt(11)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491.803 take away 950.6354?\nAnswer: -2442.4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 2\/15*c**6 + 0*c**2 - 2*c - 6\/5*c**5 + 0 - 8\/3*c**3 + 3*c**4. Determine q, given that i(q) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2067)\/(-91))\/((-4275)\/(-9975)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c + 4*q, -5*c + 0*q = q + 1. Is 1\/3 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 27160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 4*c**3 + 2*c**3 + 3*c**3 + 0 + 0 + (-3*c**2 + 0*c**2 + 4*c**2 + (0*c + 0*c + c**2)*(2 - 6 + 2) + 8*c**2 - 13*c**2 - 13*c**2)*(-2 - c + 2).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-8))\/((c*c*c**(-9))\/c))\/(c**4\/((c\/c**(-3\/4)*c)\/c)) assuming c is positive.\nAnswer: c**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 11. Let f(s) = -s + 1. Let r(w) = -3*f(w) - o(w). Suppose 2*g - 25 = -3*g. Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21807 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332759.\nAnswer: 3, 444253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -18 (c) 31172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmxzzrxrxrmxzxmx. Give prob of sequence rz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0326229149 - -0.1487.\nAnswer: 0.1813229149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cabc when four letters picked without replacement from {c: 3, a: 1, b: 6, g: 7}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -77*p**3 + p**2 + 5*p + 162. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37064 (b) 1 (c) 3\/5 (d) -2\/109 (e) 4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 0.5 (b) -4 (c) 71 (d) -1\/5 (e) -37\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5) + 0)*5. Let t = -1221 - -1224. Solve 5*w + t + a = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14302 = v, 3*v = -289*c + 287*c + 14278. List the prime factors of c.\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3674\/9 + 2\/(-9) is divided by 24 + 63*(-10)\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 20\/9 (c) -0.1 (d) 2\/15 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z + 6. Let w = z - -4. Suppose w = t - 2*t + 7. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14306 - 13850. Sort g, 0.4, -1\/2.\nAnswer: -1\/2, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 - q**4\/4 + 5*q**3\/6 - 5*q**2\/2 - q. Is 10 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u = -47*u. Suppose d + 1 - 5 = u. Suppose -6*b + 458 = -d*b - o, 0 = -2*o. List the prime factors of b.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:38 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 3*f + 3*f. Let l(g) = -g**2 - 17*g + 16. Let p be l(-11). Let x(k) = -p*k + 155*k - 39*k. Give x(y(o)).\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.9. Let w = -1.9 + -7.1. Let h = w - -9. Which is the nearest to h? (a) v (b) -2\/23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 833750 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 21*l + 40. Let j be a(-8). Put j, 4, 3, -2 in ascending order.\nAnswer: -2, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 equal to -0.1775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = 0, -170*r + 175*r = -4*z + 10. Let y(t) be the first derivative of 0*t + 12 - 2\/35*t**5 + z*t**3 + 1\/14*t**4 + 0*t**2. What is o in y(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - (-2 + 3 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 3*s = 11*i + 33, 0 = 4*i - 5*s - 8 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-25) + (-2984)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/7)*s)\/s)**(-23)\/(s*((s\/(s*s**(2\/7)*s)*s)\/s)\/s*s*s*s**(-1\/7)) assuming s is positive.\nAnswer: s**(-211\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 7) + (3 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 1\/2, 5, -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13 - 6995*p**2 + 18*p - 7 - 6.\nAnswer: -6995*p**2 + 18*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/117*(-3 + 6). What is the biggest value in -2, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 612510*c**3 - 2*c**2 - 214*c + 612509*c**3 as k + w*c + p*c**2 + n*c**3 and give w.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 317*y**3 + 10*y**2 - 2*y + 16. Is j(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - w + 6*w - 1163 = 0, 0 = 2*n + 3*w - 579. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126 - 15a?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**6\/66 + 49*w**5\/220 - 5*w**4\/66 + 8*w - 63. Solve s(v) = 0.\nAnswer: -10, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, -0.1, 145718?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -107a + 9?\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776646269?\nAnswer: 3, 197405141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -20*u**3 + 6*u**2 + 4*u + 1. Let h(t) = t**2 + 9*t + 1. Let s be h(-10). Let o = -15 + s. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p + 12 = 0. Let d be 3\/(-2) + 226\/p. Suppose -5*i - 3*h + 8*h + d = 0, -3*i - 3*h = -21. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 76.94801 milliseconds?\nAnswer: 0.07694801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40576, 81202, 121828, 162454, 203080?\n\"Answer: 40626*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 158. Let t = 0.5199 - 0.0199. Which is the biggest value? (a) v (b) 3.7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 8*g**2 + 6*g - 6. Let h be 9\/1 - (-13)\/((-78)\/12). Give r(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-7*32\/112.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 3. Let s = 981 - 985.99. Let o = s + j. What is o rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/48*6\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237120 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35270 divided by 7054\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 524 = 4*h, -2*h - z = -3*z - 256. Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*a - 9, -147*a = -142*a + 5*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + h + 9. Let n(l) = -1586*l**2 - 6*l - 36. Let a(m) = -6*g(m) - n(m). Find the first derivative of a(d) wrt d.\nAnswer: 3196*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 94 = -6. Let f = -249 - -399. Suppose 5*a - f = 2*a. Calculate the greatest common factor of c and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-148) - (6\/40)\/((-207)\/(-2438)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2415 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-20)\/90*2\/8.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtdtddddtdt. What is prob of sequence dd?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -6*z. Suppose 3*y - 3*q = -2*q + 96, -y + z*q + 27 = 0. Let f(x) = 31*x - 63*x + y*x. Let w(r) = -9*r. Determine w(f(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*f + 86*f + 87*f = 20748. Calculate the remainder when 1619 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/4 - 3*m**4\/2 - 13*m**3\/4 - 3*m**2 - m.\nAnswer: -m*(m + 1)**2*(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 6, u: 1, f: 4}. Give prob of picking 1 u and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z. Which is greater: z or -11\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-7)\/h)\/h)\/(h*h**(2\/15))*(h*h\/(h*h**(1\/4)*h)*h)**(-47))**(-2\/21))**(-2\/117) assuming h is positive.\nAnswer: h**(-389\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:23 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036844 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 7}. Give prob of picking 4 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16334?\nAnswer: 2, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/38 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4\/9 (b) -4 (c) -5704\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 3. Does 10 divide x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13690 is divided by 326?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1106 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2312 and 15.\nAnswer: -18.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 977487.2cm in meters?\nAnswer: 9774.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414224240 - -123?\nAnswer: -1414224112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -258*s**4 - 48 wrt s?\nAnswer: -1032*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 3*v = 12*h - 2, v = 1. Which is smaller: 0.04 or h?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 2*y**2 - 1\/120*y**6 + 0*y**4 + 0 + 0*y + 0*y**3 + 1\/60*y**5. Give q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**2\/4 + 1560867*s - 2081157\/4.\nAnswer: 3*(s + 693719)*(3*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(11))**2 + -2).\nAnswer: -24*sqrt(11) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-552)\/1288)\/(12\/952)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.0442649?\nAnswer: -0.3541192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10155 divided by 3?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 21. Suppose 128 + 12 = 3*v + 4*a, -210 = -5*v - 2*a. Let y = v + p. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26208 (base 10) to base 12\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -163149*k. Let x(o) = -o**2. Give x(q(u)).\nAnswer: -26617596201*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1. Let g(j) = j - 1. Let k(d) = -g(d) + t(d). Let f(x) be the first derivative of -x**3 - 1. Determine k(f(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507207111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*r + 11, -19 = o - 2*o + 4*r. Suppose 32 = o*u + 188. Let x = u + 83. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6515 - -944729\/145. Find the common denominator of j and -43\/58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36978540 to the nearest one hundred thousand.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1311437210 to the nearest one hundred thousand.\nAnswer: 1311400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h**2 + h + 39. Give u(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1541 greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3\/5, 1.76 in descending order.\nAnswer: 1.76, 3\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103721651 divided by 409967.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 11*n + 3*n - 2*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/19, 4, -3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/((8 - 1) + (-9 + 14)*(6 - 7))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 11 = 53. Suppose 54 = -z*b - 138. Let r = -22 - b. Solve 0 = r*t - 3 - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/60 + 5*w**3\/3 + w**2\/2 + 4*w + 28. Let c(p) be the first derivative of f(p). Calculate c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**2 + 9*f + 12. Let j(k) = -k**2 + k + 2. Let a(t) = 6*j(t) - r(t). Let i(s) = 14*s**2 + 2*s. Give 2*a(l) + 3*i(l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*c + 18*c + 22*c**5 + 22*c**2 - 35*c wrt c.\nAnswer: 1320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**4 + 109*r**3*v**3 + 1426*r*v**3 + r*v**2 wrt r.\nAnswer: 96*r**2 + 654*r*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/9 + 2\/3*z**4 - 38\/9*z**3 + 14\/9*z + 38\/9*z**2 = 0. What is z?\nAnswer: -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1221*s - 1. Let z(u) = -66*u**2. Calculate o(z(y)).\nAnswer: -80586*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 22687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/6 + t**2\/2 - 15*t. Let g(i) = 3*i - 3. Let y(u) = 2*g(u) + 6*r(u). Let b(k) = 2*k. What is b(y(j))?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h + 4*h - 2*h)*(3*h**3 + 3*h**3 - 4*h**3) + (-5*h**4 + 4*h**4 - h**4 + (-2*h**3 - 2*h**3 + 2*h**3)*(2*h + 2 - 2))*(1 - 4 + 0).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 9*f + 15. Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.6 - -55.9. What is the third smallest value in u, -2\/3, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 3. Let s be (-3 - 0)*1 - 2. Let g be b(s). Solve 0 = 2*d - 4, 4*z + 3*d = z + g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38\/5 + -77. Let b = 69 + d. Let i = -0.3 + 0.3. Sort b, i, -5.\nAnswer: -5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 54 + 29 + 50.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179 and 6802?\nAnswer: 6802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((1 + 3)\/16). Suppose 0 = 50*o - 54*o + j. Let x(h) = -h**2 + 9*h + 7. Let t be x(8). Solve o*f = 2*f - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*b + 173, 2*k - k = 4*b + 53. Put 2, -2, k in decreasing order.\nAnswer: k, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1 + (1 - 1). Suppose -g*w + 0*w + 1972 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*c + 1, 0 = -3*g + 3*c - 7*c + 27. Let f(p) = -7*p + 26. Let l be f(-2). Calculate the greatest common divisor of l and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let v be (i + -5)*(-10)\/3. Suppose 4*d = -2*n + 5 + 3, 5*d = n + v. Solve -x - 1 + 4 = n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 0, 237*b - 2*r = 239*b - 18752. Is 88 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 2 - 2261. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8) + (-7 + 1 - -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -132, -305, -584, -987, -1532, -2237?\n\"Answer: -3*t**3 - 35*t**2 - 47*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30685, -0.4, 5, 90 in ascending order.\nAnswer: -4, -0.4, 5, 90, 30685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6404.\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 6. Calculate the highest common factor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9)*(-42)\/4 + 1 + 3. Let o(h) = 1. Let t(b) = 13*b. Calculate y*o(n) + t(n).\nAnswer: 13*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4)*f)**(-39)*(f**(3\/8)*f*f)\/f**(-14) assuming f is positive.\nAnswer: f**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t + 3. Let y(k) = 57*k - 3. Calculate w(y(v)).\nAnswer: -1368*v + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1146 divide 2057626956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1506\/7 - 1420\/7. Which is the smallest value? (a) z (b) -0.5 (c) 2\/13 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 65*l + 263. Is n(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 1:13 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 20*g + 604 = 0, 5*p + 274*g - 162*g - 110 = 115*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:24 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + b = -6*f + 180, -3*f + 110 = b. Suppose 0 = 5*o + 5*w - 60, o - 4*w = 4*o - f. Calculate the highest common divisor of o and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araarr. Give prob of picking 1 r and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*s + 6, x + 4 = -s + 3*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szr. Give prob of picking 1 s and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**3 + 6*c**2 + 40*c + 3. Let j(l) = -25*l**3 + 13*l**2 + 81*l + 7. What is 3*j(k) - 7*t(k)?\nAnswer: 2*k**3 - 3*k**2 - 37*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-104) - (-9)\/12. Which is bigger: -2\/151 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27439687 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(112)*-5)\/sqrt(7))\/(sqrt(96)\/(sqrt(84)\/sqrt(7))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/2))\/s**11)\/((s*(s*s\/s**(2\/3))\/s*s)\/s)**(1\/4) assuming s is positive.\nAnswer: s**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 40 = -6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*k = 6*v - 24, 5*v - 2*k = 60. Calculate the remainder when 106 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.668 and -60177.4.\nAnswer: -60178.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11151666 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (340\/(-14))\/((-595)\/4998) is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*l - 22824, -2*l = -4*y + 74913 - 29265. Let c = -7747 + y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216 (base 9) to base 3\nAnswer: 20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17076.14 rounded to the nearest 100?\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 7*t**2 + 6*t - 3. Let n be j(6). Let s = -1 - n. Suppose -s*d + 3*d = 0. Solve 5*v - 24 = 3*g, 4*v + d*g - 27 = 5*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 35. Let j be w(-6). Solve j*y = 6*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 207 = 170. Solve -d - 25 + r = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3289, 3, 2\/7?\nAnswer: -3289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5 + 7*z - 3 - 5 + 0. Let n(m) = 32*m - 64. Let b(x) = 3*n(x) - 14*p(x). What is b(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*w**4 - 2*w**2 + 1118*w - 1118*w + w**2 - w**2 - w**4 + (5*w**3 - 5*w**3 + 2*w**4)*(3 - 1 + 0) - 4*w**4 + 6*w**4 - 3*w**4 + 4*w**4 - w**4 - 4*w**4.\nAnswer: 15*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6498612*d - 6498612*d + 4275*d**3.\nAnswer: 4275*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + -85?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -28.2, -11, -3, 2\/7, 0.2 in decreasing order.\nAnswer: 2\/7, 0.2, -1\/2, -3, -11, -28.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 4 + 55*c + 5 - 3.\nAnswer: 55*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119017, -119004, -118983, -118954, -118917?\nAnswer: -118872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3856 and 421330660?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -34 - -87) + -51.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 914 - (-9 + 4 - -5). What is r rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 354\/15*(3 - (-6 - 76)). Calculate the highest common divisor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-4))\/((-10)\/(-8)) - -3. Solve -r*j + 3 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10286423 (base 10) to base 7\nAnswer: 153301400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1500000*i**2 - i - 2. Suppose -2*s = -2*r - 6, 1 = -4*r - 2*s - 5. Let u be d(r). What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + j + 8. Let m be i(3). Let o be ((-70)\/m)\/7*(15 + 0). List the prime factors of (4\/5)\/(o\/585).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3\/8 - 6327*s**2\/4 - 1033481*s\/8 - 103095\/4 = 0.\nAnswer: -79, -1\/5, 2610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((5580\/(-24))\/31))\/((-2)\/(-54)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83510631 divided by -1210299\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -172*t - 302. Let g be v(-2). Let f(w) = -8*w + 336. What is f(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -1*(-85)\/(-35). Suppose -4*t + 15 = 3*g + 4, -5*g + 26 = -t. Let v = 1\/113 - -221\/565. Which is the nearest to v? (a) -5 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.3. Let b = -4.2 - -4.1. What is the nearest to b in t, -5, -1\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 2. Let i(a) be the first derivative of -a**4\/4 - 4*a**3\/3 + 2*a**2 - 6*a + 3. Calculate i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j**2 - 6*j + 2. Let z be g(4). Let i(s) = -s**2 + 12*s + 4. What is the tens digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 9494 - 2*c**2 + 9494 + c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 4, 12 = 2*q - 6*f + 3*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*x + 12, -x - x + 5*t + 29 = 0. Suppose -3*u + x*u = 12. Suppose u*g - 6 = 6. Solve 0 = -2*n + 2*b - g - 4, n - 2*b + 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1433\/7 - -205. Which is the closest to -8? (a) k (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 276106661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 2*m**2 - 11*m - 3. Let s(c) = c**2 - c + 1. Determine -n(d) - 2*s(d).\nAnswer: 2*d**3 + 13*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = y - 2*o, 5*y - 2*o = 0. Suppose y = 31*d - 28*d - 6. Solve d*p - 4*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose 9 - r = 2*d. Suppose 0 = -d*p, -3*k + 33 = 2*p - p. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582969693.\nAnswer: 3, 41, 1103, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))\/u**(1\/4))**(-1\/5)\/((u**0*u)**(-3\/5)\/(u**5\/(u\/u**6))) assuming u is positive.\nAnswer: u**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose 10 = -l - q. Is (-1266)\/l + (-2)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32140 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 486, -4630, -18518, -45564, -90154, -156674, -249510, -373048?\n\"Answer: -731*p**3 + p + 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2b (base 14) in base 11?\nAnswer: -1a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 212? (a) 0.4 (b) 2 (c) -0.06 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-1 - 0))\/(4\/(-2)). Let c be (-4)\/(-2) + i + 3. Let z(b) = 178*b - 3. Is z(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 87551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 2:42 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4533231691.\nAnswer: 3343, 1356037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsf when three letters picked without replacement from nnfsaafzssaanssn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13639 + -8493. Calculate the highest common factor of 62 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.1334 - -19.063. What is h rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 28627 = -12736. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 - 12*h**4 + 12*h**3 + 28*h**2 - 24*h = 0. Calculate h.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/2)\/1*(-124)\/2. What is the greatest common divisor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 15*u**2 + 16*u + 9. Let m be k(-5). Let v = -173 + m. Solve 4*n + v = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let a(w) = -241*w**2 + 426*w - 250*w**2 - 248*w**2 + 841*w + 738*w**2. What is s(a(n))?\nAnswer: n**2 - 1267*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -3508.\nAnswer: -3508.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004153 rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 26007150.\nAnswer: 1\/26007150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 124\/279*9*(-4)\/224*30\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-930696)\/14820 + 60\/1.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 462.06, 1081 in descending order.\nAnswer: 1081, 462.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/60 - o**2. Let w(z) be the first derivative of -z**2 + 40. Calculate q(w(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 24*b - 4. Let n(k) = -6*k + 1. What is 6*n(r) + t(r)?\nAnswer: 2*r**2 - 12*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s + 109. Determine n(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.9461 kilograms in nanograms?\nAnswer: 883946100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + -2 - (31 + -26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2919\/2 - 1459. Which is the fourth biggest value? (a) -0.03 (b) r (c) 55 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 46. Let n = -78.29 + f. Let d = -0.61 + n. What is the closest to d in 0.2, 17, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 175. Suppose -3*w + 4*k = -w + n, 0 = 5*w + 5*k + 65. Let s(l) = l**3 + 9*l**2 - 2*l - 3. Calculate s(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:49 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5190 is divided by 237?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3443744*n - 1834248?\nAnswer: 3443744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 12) to base 4.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, -3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-4 - (-6 + 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 20)\/(-3 + -26 + 13)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001100011011 (base 2) in base 7?\nAnswer: -53100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5184 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((28 - (2 + 0)) + -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 10*n**2 + 11*n - 7. Determine p(5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -336282925 and 2.1.\nAnswer: -336282922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = l - 114, 2*v + 3*l = -3*v + 122. Calculate the smallest common multiple of 3156 and v.\nAnswer: 34716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10198468 to the nearest one hundred thousand.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 + 2. Let t(n) = 9. Let y(f) = 5. Let r(o) = t(o) - 2*y(o). Determine -2*r(j) - w(j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1582*t + 374. Let u(y) = -3*y**2. Calculate j(u(h)).\nAnswer: -4746*h**2 + 374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.945 + 0.055. Let d = c - 30. Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1503936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/55 and 63\/286.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666945360, -666945361, -666945362, -666945363, -666945364?\nAnswer: -666945365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -146, -241, -338?\n\"Answer: -r**2 - 90*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7760313.65 rounded to the nearest one thousand?\nAnswer: 7760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 78007844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g = -483*g - 34658 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:39 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Suppose -j + g = -0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020 - 12?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -215*n**8\/336 + 13*n**4\/4 - 2*n**2 - 149. What is the second derivative of u(v) wrt v?\nAnswer: -4300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + n**3 - 4*n**3 + (-3*n**3 + 4*n**3 + n**3)*(2 - 3 + 2) - 3 - n**3 + 3 + n**3 + 1 - 1 + (5*n + 0*n - 4*n)*(-4*n**2 - 3*n**2 + 5*n**2).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 3}. Give prob of picking 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 43 = -47. What is the common denominator of -27\/11 and ((-4)\/b)\/((-18)\/108)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-525)\/6*(-48)\/84. What is the greatest common factor of t and 330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*g + 9. Let j(y) = y + 6*y + g*y**2 - 7*y. Let d(s) = 28*s - 85 - 79*s + 21*s + 26*s + 85. Determine j(d(q)).\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 456*d**3 + 2*d - 410. Let k(l) = 456*l**3 + 3*l - 416. Let c(r) = -2*k(r) + 3*p(r). Differentiate c(w) wrt w.\nAnswer: 1368*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 709 + -708.858. Let k = -0.14202324 + w. What is k rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26315 - 0.3?\nAnswer: -26315.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -155\/3. Let o = 0.3 - 0.1. Let j = -7.7 - -10.7. What is the nearest to -3 in j, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v**2 + 1)*(2 + 2 - 2) + (-10 + 10 - 6*v)*(v - 2*v + 0*v)*(2 - 2 - 1).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 176\/20)*(-25)\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15525 (base 7) to base 14.\nAnswer: 184c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 4. Let m be d(4). What is the remainder when m - 1*(-11 + -1) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + g = -1132, 0 = 4*p - 169*g + 165*g - 1132. Calculate the remainder when p is divided by 281.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 105. Let x(f) = -11*f**3 + 6*f**2 - 6*f - 6. Let a(j) = 65*j**3 - 35*j**2 + 35*j + 35. What is t*x(w) + 6*a(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*t + 703*t + 1445 = 1805 + 2680 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57793055 and 127144721?\nAnswer: 635723605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) -1 (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 127 = 263. Let i = d - -119. Let o(n) = -35*n - 1. Let z be o(-1). Calculate the highest common divisor of z and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11056152 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 6. Let s be x(-3). Which is the nearest to s? (a) 17 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4\/101, 20\/9?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giidg. What is prob of picking 1 d and 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 8. Let m be d(-5). Suppose -m*w - 5*t + t - 15 = 0, -5*w - t = 8. Sort -5, w, 2 in descending order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 + 3*t - 5. Let a be l(3). Let x(f) = f**3 + 21*f**2 - 3*f - 17. Is x(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 384*n - 3807. Let l be z(10). Solve -22*u + l = -33*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 + -199. Suppose -8*d + n*d = 3*x - 1338, -3*x = 3*d - 1005. What are the prime factors of d?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {a: 3, x: 3, v: 2, d: 7, k: 1, b: 1}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 - 529*a**4 - 632*a**3 + 632*a**3)*(8 + 5 + 3) as n*a**4 + i + l*a + z*a**2 + b*a**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.572082 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 57652?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -258 divided by -43\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (336\/7)\/(-4) + 5. Are -15 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 9*a - 3. Calculate l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1893475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37096016, -37096018, -37096020, -37096022, -37096024, -37096026?\n\"Answer: -2*w - 37096014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 - 6636*c**3 - 510992*c**2 - 8991024*c + 44565696 = 0. What is c?\nAnswer: -1579, -42, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/2, 7, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10874330 to the nearest ten thousand.\nAnswer: -10870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8755, -17509, -26263, -35017, -43771?\n\"Answer: -8754*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213823.\nAnswer: 37, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2368082689 and -0.24.\nAnswer: -2368082689.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4390*b**2 + 2409*b**2 + 1972*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(3*(-5)\/(-135))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - u + 5 = 0, 4*u - 42 = 2245*v - 2248*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 39, 57, 75, 93, 111?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 6. Determine s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6933147.99 to the nearest one thousand.\nAnswer: 6933000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.07, -20, 292 in increasing order.\nAnswer: -20, 0.07, 1, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -24. Let j be (-14)\/8 + 2 - (-3)\/v. Determine p, given that 1\/4 - j*p**3 + 0*p**2 - 1\/4*p**4 + 1\/2*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v - 2*v + 0 + 0 - v + (0*v - 2*v + 0*v)*(-3 + 2 + 3))*(-168*v - 1 + 69*v + 74*v).\nAnswer: 75*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 p when three letters picked without replacement from {y: 2, v: 1, u: 1, n: 2, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*m = -2*m + 23, o + 1 = 3*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262 + 264. Suppose k*g + 2*o - 230 = 0, -3*g + 4*g + 2*o - 118 = 0. Which is greater: 111 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k**3 + 4*k**4 + 175 - 175)*(0 + 0 + 1).\nAnswer: 4*k**4 + k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 796978 and 56.\nAnswer: 3187912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 6*r + 6. Let x be c(6). What is the remainder when x\/(-15) - -3*2168\/60 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u + 2*u + u)*(-4 + 3 + 2) + u + u - 3*u + 5*u - 1 + 1)*(-10*u + 3*u + u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/184355703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2 - 422780*c + 102195632 = 0.\nAnswer: 242, 211148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682 + 662 = -10*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 54 - 13) + 28\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1069761 divided by 847\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:23 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 316*n + 14. Let x(i) = 159*i + 7. Let v(r) = -2*q(r) + 5*x(r). Is v(1) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaahlhaa. Give prob of sequence hl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2046)\/(-55)*55\/2. Suppose -743 = -9*r + 94. Calculate the greatest common factor of s and r.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**3\/6 - b**2\/2 - 5*b. What is r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 11.82. Let j = d - 0.82. What is the nearest to -0.1 in -4\/7, j, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-10))\/(-4 + 41\/10). Suppose 1632 = -21*m + 23*m + 2*y, -l*m + 4108 = -2*y. Is m a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164965 - 2.\nAnswer: -164967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/6 + 94*l\/3 = 0. What is l?\nAnswer: -188, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056241546 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -39. Let w(a) = 6*a**3 + 8*a**2 - 3*a + 16. Let t be w(k). Let n = -41135\/8 - t. Calculate the common denominator of -3\/28 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4246 is divided by 2117?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2)\/(-2 - (0 + -3)). Let h = 1 + 1. Suppose q + h - 4 = c. Solve -4*x + 4*j = 4, 0*x = -q*x + j + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 562727.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/7 - 8996*k**2\/7 - 418954*k\/7 - 356080 = 0.\nAnswer: -4451, -40, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a596 (base 14) to base 5\nAnswer: -1403202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120)*1)\/(1*1*sqrt(6)))\/(-1*sqrt(90)*1*-6).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2456, 2455, 2454, 2453, 2452, 2451?\n\"Answer: -t + 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9512851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 equal to -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24\/421 or 19149?\nAnswer: 19149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/3 (c) 17 (d) 1\/6 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1524, -3520, -5460, -7314, -9052?\n\"Answer: 5*r**3 - 2*r**2 - 2025*r + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjjz when four letters picked without replacement from {z: 6, c: 3, j: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 496661701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/3087 and -91\/12.\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16997 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 646368441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u + 128 = 33*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.07 and -0.0314122.\nAnswer: -0.159259854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 2*d - 3. Let q(z) = -724*z**3 + 1132*z - 24. Let k(n) = q(n) - 8*t(n). What is the second derivative of k(r) wrt r?\nAnswer: -4296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 107517*y + 23. Let t(f) = -26879*f - 6. Let q(a) = 4*o(a) + 18*t(a). Let i be q(-4). Round i to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42515076*t = -42515121*t + 5535 for t.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274120.\nAnswer: 2, 5, 53, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a**2 - 236*a - 980. What is f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0 + 12 = 5*j, -2*j + 2*z + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(8\/7)\/y)\/y)\/y)\/(y**(-3\/8)*y) assuming y is positive.\nAnswer: y**(-83\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -6 + (157 - 4). Let i = o - 151. What is the smallest common multiple of i and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2048 and 33995776?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -287210 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -185*m - 2919. Calculate g(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1626, 3245, 4858, 6465, 8066?\nAnswer: 9661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -m + 3, 2*m - 2*n - 2 = 0. Let v(d) = -d**3 + 2*d**2 + 5*d - 2. Let l be v(3). Solve 0*w - 4*w = 5*c - l, 0 = -c + m*w + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*v**2 - 24*m**2*v - 3*m**2 - 53106*m*v**2 + 124551*m - 660*v**2 - 3*v wrt v.\nAnswer: 4*m**2 - 106212*m - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 5*w + 2. Let o be a(3). Let r be ((-8)\/o)\/((-6)\/15). Suppose 0*j + 2*l + 27 = 3*j, 0 = r*j - 5*l - 43. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22331311 (base 4) to base 13.\nAnswer: -175a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -5*u**3 + 4312. Let d(w) = -5*w. What is s(d(b))?\nAnswer: -375*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44238 is divided by 280?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02573 - 1.69573. Is -2 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 38 + 7 + 11 + 5 + 14 - d.\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*a + 5, -1273*i + 1271*i + a - 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 21 (c) 42 (d) -0.5 (e) -186 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 3*f**3 - 2*f**3 - f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = -4*n - c, -6 = 4*n + 3*c. Let j be (-2)\/(((-8)\/20)\/(12\/15)). Suppose 5*z = 4*v + 12, -j*z + 0*z + v + 14 = 0. Solve 4*r + n*r - z = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(19) + 0 + (sqrt(228)\/sqrt(108))**2)*4.\nAnswer: -8*sqrt(19) - 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 884422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-37)\/15)\/(6\/18). Suppose -7*b + 3*a = -4*b + 18, 5*a + 2 = b. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 8:09 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7*g - 82 = 0, 3*x = -2*g - 0*g - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 47 = -11*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i + 5. What is the tens digit of 170\/i - (-4 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqeqeeeeqqqq. What is prob of sequence eqe?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 + -2?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.91585133 rounded to two decimal places?\nAnswer: -20.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 5?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 + -58. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 17\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1918682 and 15674.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -250?\nAnswer: 250.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.072 - 0.121. Let n = 14.951 - r. Let i = 0.08 - 0.18. What is the closest to i in -1\/4, 1, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkokkkkkkkkkkkkko. What is prob of picking 2 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1450 = 5*c - 753, -5*c + 2200 = -5*z. Let d = -415 + c. Calculate the greatest common divisor of d and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7 and 950153665?\nAnswer: 950153664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-1 + -2 - -2). Let a be (2\/g)\/(1\/(-27)). What is the smallest common multiple of 6 and ((-60)\/a)\/(-4)*3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 + 215 = 728*m - 735*m - t, 5*m = -3*t - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 994754, 1989509, 2984264, 3979019?\nAnswer: 4973774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57192?\nAnswer: 2, 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - 0.09. What is the second smallest value in -1, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 2*i**3\/51 - 103*i**2\/17 - 1308*i\/17 + 3824. Solve j(b) = 0 for b.\nAnswer: -6, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*w + 39, -50*t + 15 = -49*t - 3*w. Solve 0*h = 6*h - t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873950 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 810600135 minus -1.1?\nAnswer: 810600136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2*h**2 + 2*h**2)*(5 + 1 + 0) + 9*h**2 - 4*h**2 - 2*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 19 = -1. Let i(t) = 7*t**2 + 0*t**3 + t**3 - 4*t + 0*t - 3*t**2. What is i(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68931\/(-132) + 6\/33. Let n = h - -522. Is n greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1455 - 4367\/3. What is the nearest to k in 1, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 5167596.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23804 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 + 16579\/(-236))\/(1\/(3\/(-80))).\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 63, -5, -286?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1610.493753 + -0.056247. Round v to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5, -4*i + 4*l - 22 = -6. Let u(a) = -a. Let v(s) = -s - 1. Let q(o) = 3*u(o) - v(o). Determine q(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 14*q + 17. What are the prime factors of z(-13)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 12*f**2 + 10*f = 0. What is f?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/9 - 4384*q**3\/9 + 260990*q**2 + 59038672*q\/9 - 61383200\/9 = 0. What is q?\nAnswer: -25, 1, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1 + -7 - 3) + (8 - 22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3785 + -3785.2. What is the third biggest value in v, 5, 13\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 7. Let p(d) = d**2 - d - 1. Let f be p(x). Solve -h - f*c + 25 = 0, 0 = -3*h + 4*h - 4*c + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76)*-1 - sqrt(76))\/(-1*sqrt(324) - sqrt(324)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11336841, -11336852, -11336863, -11336874, -11336885?\nAnswer: -11336896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 2*z = 1040. Calculate the remainder when z is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 240, 494, 762, 1050, 1364, 1710, 2094, 2522?\n\"Answer: m**3 + m**2 + 244*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -4, -0.5, -2\/3, 0, 4\/489649?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 15*d + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x. Let u(b) = b**3 + 3*b + 13 - 10 - 2*b**2 - 2*b**2. Let s be u(3). Is 11 a factor of g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuiwl. Give prob of picking 1 w and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-2500)*-30*25\/(-450).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/236837 and -11\/3584?\nAnswer: 848823808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/5)*t*(((t\/t**(-1\/6))\/t)\/t)\/t*t*t*t**1*t**(-1\/4) assuming t is positive.\nAnswer: t**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591, -4930, -16707, -39642, -77455?\nAnswer: -133866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (sqrt(190)\/(sqrt(10)*-2))**2 + 1 + (sqrt(19) - -2*(sqrt(76))**2 - (sqrt(1900) + 2)))*-3.\nAnswer: -1833\/4 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from vlsrsll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 218, 328, 438, 548?\n\"Answer: 110*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - a - 33 = 0, -6 = -6*a + 4*a. What is the remainder when (-10)\/6*(-5 - 10) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22242 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + 0.22. Let f = -2.1 + 2. Put f, -1, v in increasing order.\nAnswer: -1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*40\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-15))\/((21\/(-10))\/7). What is the third derivative of 18*a**5 + 5*a**m + 2*a**2 + 37*a**5 + 30*a**2 wrt a?\nAnswer: 3300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z - 37. Let m = 91 - 74. Let l be n(m). Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -727\/2569 + -1\/367. Which is smaller: q or 29.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1556913 and 76\/21.\nAnswer: 10898391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 17*d**2 - 18*d + 8. Let n be r(-18). Factor -3*j + 190*j**2 + 15*j - 186*j**2 + n.\nAnswer: 4*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o + 2. Let y = -4 + 3. Suppose -18 = 19*m - 10*m. Let d(c) = c. Determine m*d(x) + y*i(x).\nAnswer: x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((855\/(-54))\/(-19))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4348811, 4348812, 4348813?\n\"Answer: v + 4348810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2887090629 to the nearest integer?\nAnswer: 53732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Let d(z) = z**3 + z**2. Let x(k) = 3*k**3 + 3*k**2. Let f(u) = o*d(u) + x(u). What is the third derivative of f(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 436. Let p = g - 343.99443. What is p rounded to 4 decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62945005 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-1 + 1 - 2 + 4 - 7 - 1 + 3 - 4 + 3 + 3 + 0 - 1 + (0 + 1 + 1)*(-5 + 2 + 1) + 0 - 4 + 2)*(4*t - 8*t**2 - 4*t + (1 - 2 + 0)*(0 - t**2 + 0)).\nAnswer: 112*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51725838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25798453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pltyn. What is prob of picking 1 l, 1 p, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:00 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0 + 0*r**3 + 23*r**2 + 0*r + 1\/60*r**5 - 1\/6*r**4. Let t(p) = p. Give 7*t(q) + 2*z(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20845902?\nAnswer: 2, 3, 7, 11, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-27 - (0 + -16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 10. What is the greatest common divisor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/14)\/(((-93499)\/361)\/(-1813)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:05 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3258364642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:22 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -235661780 rounded to the nearest 1000000?\nAnswer: -236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -3. Suppose -4 = y*k - 5*k. Suppose -k*u - 3*a = -53 - 6, 2*a = u - 1. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 290.5008 months?\nAnswer: 0.0242084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1466837248 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 46900284, 1\/3 in decreasing order.\nAnswer: 46900284, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + (-4 - 3 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 24. Let b(j) = -h - j**2 - 3 - 5*j + 2. Let n(i) = -i**2 - 2*i + 3. Let t be n(2). Determine b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11367328 less than 11367328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8 - (-56)\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1088) + 5)**2*-6 + 4 + 2*sqrt(17)*3 + sqrt(17) + -2*sqrt(17) + 5.\nAnswer: -6669 - 475*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6298 divided by -23.\nAnswer: 6298\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -47957 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178296 by -34.\nAnswer: -5244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y + 1. Let s be f(3). Let p = s + -56. Let l = p + 67. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/6 - 4\/(-6). Let o(j) = j**3 + 5*j**2 + 2*j - 5. Let g be o(w). Let q = g + -1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**4\/3 - 3*g**2. Let z(k) = -k**2. Give d(z(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, 4, -89, 2 in decreasing order.\nAnswer: 4, 2, -5, -20, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*a + 380*a - 19775 = 77*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*s + 4, -28 = 18*s - 17*s + 7*i - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1235420 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1593 - 1594. Put r, 5, -3 in descending order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-2)\/1. Suppose -4 = -c + n*c. Calculate the remainder when 10 + (1 - (c - -2)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.018*0.07146\nAnswer: 0.00128628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = d - 6*d - 30, -4*u - 4*d = -12. Let g = u + 17. Calculate the remainder when (-2)\/(2 + (-344)\/170) is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, 22.2, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576369 is divided by 632?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45148549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.347 - -4.457. Round p to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*o - 14 = 2*o, -5*o - 20 = 5*y. What is the remainder when 2 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:07 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 0. Suppose m = 4*i + 3*s - 19, -i - 3*i = -4*s + 16. Suppose -i + 5 = -4*h. Is 3 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwccccccccw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.053 (b) -24538 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 102 = -6*i. Let x(y) = 18*y + 2. Let r be x(1). Let i*t + 36*t**2 - 8 + r*t**3 + 16 + 4*t**4 - 6*t = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43114741.8 - 12921?\nAnswer: 43101820.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-201)\/(-335) + (-21)\/(-15) + -1. Let o(k) = -k**2 + 7*k - 2. Let x be o(5). Calculate the greatest common factor of x and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9370, 8588, 7806, 7024, 6242, 5460?\n\"Answer: -782*s + 10152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 31\/3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 273*j**2 - 1080*j + 1076.\nAnswer: -(j - 269)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s**3 - 3*s**2 - 3*s - 29. Let j = 50 + -46. Let w(v) = -12*v**3 - 4*v**2 - 4*v - 29. Let d(o) = j*a(o) - 3*w(o). Differentiate d(z) wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let a = 1 - k. Suppose -a = 2*y - 9. Solve 3*x = 3 + 9, -y*g + 28 = 2*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k. Let z(p) = -3513692*p**2. Calculate y(z(h)).\nAnswer: -21082152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - (-63)\/12. Let w = -15810030 + 45810045. Suppose 0 = l*b - 3*h - w, -b + h = 2*h - 5999995. Round b to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**3 + 8*i**2 - 139*i + 16. Let n(v) = -4*v**3 + 5*v**2 - 93*v + 10. Calculate -8*n(m) + 5*t(m).\nAnswer: 2*m**3 + 49*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -50. Let a = z + 65. Factor 2\/3*k - 2\/9 + 2\/9*k**a - 2\/3*k**2.\nAnswer: 2*(k - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -y - 8, 3*u = 2*u - y. Let l = u + 8. Let m be (-22)\/(-6) + (-6)\/9. What is the greatest common divisor of l and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 6*u. Let t be x(-6). Suppose 0 = 2*m - 3*p - 591, 883 = -t*m + 3*m - p. Find the third derivative of -12*c**2 - m*c + 294*c + 14*c**4 wrt c.\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9997*k - 24. Let b be ((-3)\/(-2))\/(12\/144). Suppose -d = -2*l + b, 0*l + 11 = -2*d - l. Let x be p(d). What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11312340 (base 5) in base 11?\nAnswer: 71232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 7*j. Let g be y(-3). Is (-42)\/1*g\/(-14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 24*u - 78. Let o be y(-4). Solve o*h - 9 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 36. Let g = 23\/2 - u. Solve -g + 1\/4*l + 1\/4*l**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 - 2, 0 = -5*l - 3*o + 116. Suppose -3*s + 13 = y, -s + l = 4*y + 3. Suppose 9*z = y*z + 15. What is the second smallest value in z, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.093262 + -0.037516. Let w = 0.131 + d. Round w to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 72 = -4*j. Calculate the remainder when j is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3391.17 centimeters?\nAnswer: 0.0339117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/60 + 91\/60. Let h = 373.4 + -373. What is the third biggest value in -1\/6, b, h, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from {m: 1, p: 5, l: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1392, 1682, 870, -1038, -4036, -8118, -13278, -19510?\n\"Answer: w**3 - 557*w**2 + 1954*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**3 - 2*d**2 - d + 3. What is the units digit of u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + z**4 - 4*z**4 - 4*z**4 + 5*z**4 - 3*z**4 + (-1 + 2 - 3)*(3*z**4 - z**4 - z**4).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85564*j*q*v**5 + 30*j*q*v**2 + 3*j*q*v - 2*j*v**2 - 5*q*v**2 - 3*v**2 wrt v?\nAnswer: 5133840*j*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0 + 5 + v - 2*v**3 - 6*v**2 + 3*v**3. Let r be g(6). Suppose -r = 4*a - 47. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -g + 31, -g + 2 - 3 = 0. Suppose 8 + 2*j + w*j**2 - 12*j - 4*j**3 + 2*j**3 - 4 = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millisecond in microseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 43432*r + 43438. Determine p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6 - 0. Suppose 4*r - 8 = 12. Suppose z - 10 = 4*q + 3*z, r*z + 25 = 5*q. Solve t*l + 2*x + 1 = 3*l, -l - 5*x + 17 = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/85, 1, -0.2, 4717?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.2 and -3.\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 240, 228, 200, 150, 72, -40?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 586144 and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:45 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d + 4*y + 20, -d + 3*y = -9. Let r = 9 + 2. Let b = 13 - r. Sort -0.5, d, b in decreasing order.\nAnswer: d, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1555845574 to the nearest integer?\nAnswer: 39444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3525 - -6888. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -111. Let m(v) = i*v + 9 - 2*v + 9*v**2 + 2*v. What is the units digit of m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -49. Let u(m) = m**3 - 30*m**2. Let f(j) = -j**3 + 15*j**2. Let c(a) = p*f(a) - 4*u(a). What is the third derivative of c(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6629 from -0.0574906.\nAnswer: 6628.9425094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v**2 + 6*v + 3. Let p(z) = 1 - 20*z - 15*z**2 - 28*z**2 + 65*z**2 - 25*z**2 + 22*z. Determine -7*p(t) + 2*u(t).\nAnswer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115047, 230071, 345069, 460041, 574987, 689907, 804801?\n\"Answer: -13*j**2 + 115063*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k**2 - 11*k - 1. Let p(m) = -6*m - 684 + 684 + 7*m**2. Let f(c) = 11*p(c) - 6*y(c). Let h(o) = 1. Calculate f(x) - 6*h(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -990 + 6*n**3 + 75*n**2 - 6*n**3 + 989 - n**3 + 4*n**3 in the form k*n**2 + j*n**3 + c*n + h and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 5*w - 15 = 0, 0 = 3*l - w + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 x when three letters picked without replacement from rxrgrrzrryrrrzf.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 18. Calculate c(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1463 - -10572. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**18*z*z**(-17)*z assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -168.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8420*q + w = 8418*q + 17, 3*q = -5*w + 22 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -5 - 14) + -2 - -52?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(117) + 2*sqrt(117) + sqrt(117))*6*3*-3)**2 + 2.\nAnswer: 6480*sqrt(13) + 5458779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 32, 78, 162, 296?\n\"Answer: 2*x**3 + x**2 + 3*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 - 5*v - 3. Let c = -28 + 15. Let r = c - -10. Let z be f(r). What is the highest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-131)\/(-7205)*(0 - -515) + 56\/(-154)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 25, 2\/5, -3\/5, 6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g = -168 + 100 - 348 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpjsv. Give prob of sequence pxs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/19, 3\/2, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Suppose 4*g = -t*z + 15, 0 = g + 4*z - 3*z - 4. Suppose 2*m = -g*l - 12, -2*m + 0*m - 12 = l. Is m >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 18, d: 2}. What is prob of picking 2 k and 1 d?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*w = 5*i - 24, 3*i - 70 = w. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5355 and 373422?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 39. Let j be 4\/14 + 8\/w. Let p = -1.9 + 2. What is the closest to j in -1\/2, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19647933870 and 5857.\nAnswer: -19647928013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -153, -522, -1235, -2406, -4149, -6578, -9807?\n\"Answer: -19*l**3 - l**2 - 3*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43052, -43143, -43412, -43955, -44868, -46247?\n\"Answer: -16*p**3 + 7*p**2 - 43043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:38 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 3*v**2 + 1. Let p be i(2). Suppose 5*m = b + 59, 3*b + 68 = p*m + 1. Let t = m - 5. What is the remainder when t is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-24) + 1\/4. Put -1, 2, u in decreasing order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/(-6) + 4)*(-1 + -3). Suppose j = 5*u - 69. Suppose 18*s - u*s = 300. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*1\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 2}. Give prob of sequence sxxs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*((-924)\/21)\/(18 - 100\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.9549nm in centimeters?\nAnswer: 0.00008619549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10302 + -185375\/18. What is the common denominator of -19\/12 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-26*q + 51*q - 24*q + 4).\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 26 = 6. Suppose 0 = -2*v + 5*k - 16, -2*v + 5*k - 14 = v. What is the remainder when b is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/4517 - 30262\/7990573. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/651)\/(122\/(-2135))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3440\/(-3096))\/(-3*(-4)\/216)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 69.33347s?\nAnswer: 69333.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24969 and 406?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 97*v**2. Let h(t) = 4*t - 12. Let x(i) = i - 2. Let g(d) = h(d) - 6*x(d). What is g(q(a))?\nAnswer: -194*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*-2 - -2. Let n be (h\/(-2))\/(16\/32). Find the second derivative of 117 + 4*t - 117 + 3*t**n wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9427956 and 29\/109992820.\nAnswer: 329978460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((((-2)\/(-9))\/1)\/(-2)). Let z be (-75)\/231 + (-18)\/(-99) + 845\/35. Solve v*o - 17*o = -z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282867047 a multiple of 4189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10)*(-9 - -4). Suppose v*w - 12 - 40 = 4*a, -4*a + 60 = 3*w. What is the remainder when w is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 163\/2. What is the biggest value in j, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-2 + -8) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-16)\/2)\/(11018\/22036)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 431.4306t?\nAnswer: 431430600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/29196 and -155\/98406.\nAnswer: 159614532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t = 9*t + 612. Let a(h) be the second derivative of h**3\/6 + 11*h**2 - h. What is the lowest common multiple of a(t) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g - 2. Let o be i(1). Suppose 1950 = 13*j - o*j. Is 50 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/3)\/k))**1\/(k\/(((k\/(k*k**1))\/k)\/k))**(-17\/2) assuming k is positive.\nAnswer: k**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 2, f: 4, m: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*v = -2*o - 111, -5*v = -5*o + 195. Suppose 0 = 5*m - 2*m - o. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29478 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -63, 5, 7, 3, -1, -4 in ascending order.\nAnswer: -63, -4, -1, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 75. Let g(f) = 26*f. What is g(k(i))?\nAnswer: 52*i - 1950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -189, -268, -347, -426?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l. Let h be u(8). Suppose -m - h = m. Let f be (-3)\/12 + (-34)\/m. Solve f*t - 10 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b = 14*b - 6173 + 7838 + 8631 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42153 <= 42154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3552*f**3 + f**2 - 2*f + 184. Let g(b) = 3553*b**3 - 2*b**2 + 3*b - 183. Let u(v) = -4*d(v) - 3*g(v). Find the third derivative of u(k) wrt k.\nAnswer: 21294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*s + 568. Let u = s + 174. Let j = u - 98. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) -0.57 (c) -1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 23. Let i(p) be the first derivative of -16 - 3*p**2 + u - 5*p - 3*p**2. Find the first derivative of i(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3370 and 1140?\nAnswer: 384180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35151077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaqat. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/14)\/4 + 4315\/35 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.95 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*u - 493926*o**3 - o**2*u - 195*o**2 - o - 5*u wrt o?\nAnswer: 12*u - 2963556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**24\/((o\/o**(-2\/15))\/(o\/(o\/o**(-1\/3)))))**(-31) assuming o is positive.\nAnswer: o**(-3038\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.031 or -731?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (1 + 13 - (46 - -8 - 46))) + -69.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243830.\nAnswer: 2, 5, 37, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8183)\/(-10143) - 60\/2070.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1100) + 1) - sqrt(1100) - (sqrt(1100) + 1 + sqrt(1100))*1) + -5.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*19 + 9 + -6. Suppose 4*t - 2 - n = 0. Let m be (-2)\/16*t*-4. Solve m*y - 7 = -u - 3, 5*u = 2*y - 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3194)\/(-8) - (300\/(-48))\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 93406 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 40061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24 + 4)\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r - 1. Suppose 5*g = g - 8. Let b be u(g). Suppose 2*v - 19 + 62 = 3*y, -4*v - 75 = -b*y. What is the lowest common multiple of y and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/4*960\/800. Solve 0 = 3*b + x*b - 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*r - 16, 4*r = -2*t - 1 - 7. Let g(x) = -3*x - 11. What is g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j. Let v(a) be the third derivative of -a**4\/3 + 5*a**2. Determine v(s(o)).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 + 168. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 27*a**2 - 4 + 9*a**2 - 11 as o + d*a + u*a**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.8 (b) -9\/7 (c) -2\/71 (d) -1\/4 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1179088 - -4?\nAnswer: -1179084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -12579.\nAnswer: 1\/4193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (78\/(-8))\/((-20)\/(-240)). Let k = d + 128. Let x be 3\/3 - 2 - -3. Solve -g + 0*z - 7 = -x*z, -3*z + k = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*((-55)\/15 - -4). Suppose -t = b - 3, -4*m = -b - 89. Find the second derivative of -m*a - 96*a**2 + 160*a**2 - 82*a**2 wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 39*c**2 + 132*c + 675. What is y(-36)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10975400 rounded to the nearest one hundred thousand?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, g: 1, u: 2, a: 2, h: 1}. What is prob of sequence ax?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) 4 (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.4895 minutes in seconds?\nAnswer: 20789.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38952.58 to the nearest 100.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -38*l + 45. Let c be q(1). Let o(n) be the first derivative of 0*n + c + 2\/7*n**2 + 6\/7*n**3. Suppose o(j) = 0. What is j?\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-24))\/(1*-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0 + 0)*(7 + 27 - 7)*(-5 + 4 + 4) to d*f + u and give d.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 + 3*o**2 - 7*o**2 - 15*o**3 - 4*o**3 as r*o + k*o**2 + a*o**3 + c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, -4, 0.4 in descending order.\nAnswer: 2, 0.4, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 131*m + 132*m - 335*m - 318*m - 327*m to the form a*m**2 + u*m + l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -2\/113, 4, -0.025?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26619462.\nAnswer: 2, 3, 53, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*48\/(-9)*(-33959)\/(-9368).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r = 41084003, -4*r + 2085302 = g + 22627306. What is g rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {k: 2, d: 1, g: 1, w: 2, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/17057?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 39*p - 35*p = 7, -3*h = -4*p + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 3235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 430?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 7*q**4 + q**4 + q**3 + q**3 in the form d*q + z*q**2 + w*q**4 + a*q**3 + f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 5) to base 3.\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 2\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.3 (c) 6 (d) 0.0963 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1507, -3072, -4635, -6196, -7755, -9312, -10867?\nAnswer: -12420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.3 and -166.\nAnswer: -163.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 627 - 383. What is the remainder when i is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 2. Let n(x) = -6*x - 232. What is -n(z) + 8*t(z)?\nAnswer: -2*z + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/6*(-6)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/112 and 127\/168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 144 + -42 + -37.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(22))\/sqrt(11) - (2 + sqrt(216)\/sqrt(3)).\nAnswer: -3*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.239265 nanograms to micrograms.\nAnswer: 0.002239265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 136 = -0*s. Is -8 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106.849 and 177.7.\nAnswer: 18987.0673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -396541601 and 17.\nAnswer: -396541584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1431 - 14342331?\nAnswer: -14344312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 4. Let x be (-24)\/15*5\/2. Let g be j(x). What is the derivative of 111*i**2 + g*i**3 + 16 - 111*i**2 wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 16*v**2 - 7*v + 1272. Determine q(0).\nAnswer: 1272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6556 and 62744.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*s = 0, 4*s = 5*u + 6*s - 27. Suppose -2*d = 4*a + 34, -2 = -a - u*d - 33. Let v = a - -5. What is the third smallest value in 3, v, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 360*i**3 + 4800*i**2 - 23000*i + 37500.\nAnswer: 4*(i - 75)*(i - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*s = -c + 15, -5*c = 2*s + 10. Solve c = -4*i - 13 - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108)\/sqrt(3)*5 + sqrt(2304)*1)\/((sqrt(336)\/(sqrt(63) + sqrt(7)))\/sqrt(4)).\nAnswer: -52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 469 and -11?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(84\/6)*16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010 + -1?\nAnswer: 11100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-4)*64\/(-112). Let w(n) = t*n - 5*n + n + 0*n. Let i(b) = -2*b. Calculate i(w(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*p + 11, -2*g - 5*p - 7 = 12. Solve 0 = g*s - 0 + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2181, -229, -4 in descending order.\nAnswer: 2181, -4, -229","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-12)\/(-18)*10602\/228?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.1 - 1.5. Let w = a - 1.6. Is w at least as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 153561154?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2741 - 2208. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*k - 1854 = -386*k. Is ((-42)\/(-9))\/(2\/k) - -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10373 and 5819?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/6 + -1)\/((-4)\/(-138)). Let n = 24 + m. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(11)*-1)**2 - (-1*sqrt(22)\/sqrt(2) + -2).\nAnswer: 3*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g*g**(2\/5)))\/g)\/((g*g**(2\/11))\/g))**(-15\/4))**(-12))**24 assuming g is positive.\nAnswer: g**(-18792\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)*y)**(-24) assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1150c (base 13) to base 4.\nAnswer: -13231333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 + 54\/10. Solve -l - 4 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 725*s**2 - 7*s - 4. Let a(z) = -2901*z**2 + 26*z + 15. Determine -4*a(m) - 15*x(m).\nAnswer: 729*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 17 - 29 - 9*n**2 - 14*n**2 to c*n + l + f*n**3 + y*n**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 71, 150, 231, 314?\n\"Answer: x**2 + 76*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t + 321. Suppose -t + 27 = -5*h. 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 the closest to 0 in 797\/2, -2\/177, 0.2, -2\/29?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*j + 22, -j = 3*a + 1 + 9. Find the first derivative of 34 - 2659*m**2 + 1315*m**j + 1458*m**2 wrt m.\nAnswer: 228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 5. Let r be n(5). Suppose -2*g + 2*k + 4 = 3*g, 0 = -2*g - 2*k + r. Let q be 0 + (g - 1031 - 1). Round q to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - -52. Suppose 16*p = 17*p - l. What is the highest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbc when three letters picked without replacement from {c: 3, q: 2, f: 1, g: 2, t: 3, b: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 - -615. Solve 0 = -2*j - 2, 0*f = 2*f + h*j + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -886213 < -4431071\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s + 5*c + 11 = 0, -5*s + c = -13. Solve 0 = -0*h - 2*h - 5*z + 15, -s*h - z - 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009095*0.14.\nAnswer: -0.0012733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 15}. Give prob of picking 1 t and 2 b.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 312.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2103038, -4206082, -6309126, -8412170, -10515214, -12618258?\n\"Answer: -2103044*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**3 - 21*w**2 + 17*w + 18. Is r(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + 12*q + 6. Let m be j(9). Let n = 318 + m. Let v be (-4)\/(-34) + n\/1190. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*h + 31 = 0, 4*t + 2*h - 3*h = 17. Let f(m) = -m**3 + 15*m**2 + 14*m + 22. Let u be f(16). Let b be (0 - 0)*(u + 9). Solve b*c = -c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -100\/127 (b) 349 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27356723 is divided by 39193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 94 = 5*a. Let x = -10 - a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from meyqywywwee?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2. Let l(i) be the third derivative of -7*i**6\/720 - 3*i**4\/2 + 4*i**2. Let f(c) be the second derivative of l(c). Calculate d(f(a)).\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 179*q + 3 + 6130*q + 3546*q to the form u*q + o and give u.\nAnswer: 9497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 + 0 = -3*p, 15 = -5*p - 2*j. Let q be 1*p\/((-1)\/78). Suppose -69 = 77*c - q*c. What is the highest common divisor of c and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209863121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(((sqrt(6) - (sqrt(6) - (3*sqrt(6) + sqrt(6))))\/sqrt(2) - sqrt(3)) + sqrt(3))*-3*3.\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.57 + -71.17. Let n = -70 - s. What is the closest to 2\/9 in n, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1645*c = 1289*c + 9968 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 508043*f**3 + 5 - 2*f + 57 - f**2 - 508054*f**3 + (3 + 0 - 2)*(2 + f**3 - 2).\nAnswer: -10*f**3 - f**2 - 2*f + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*z - 24*z = -154*z + 1228. Let f(a) be the third derivative of 1\/480*a**6 - 8*a**2 + 1\/60*a**5 + 5\/96*a**z + 1\/12*a**3 + 0 + 0*a. Factor f(t).\nAnswer: (t + 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*k - 143*k - 12 = 0. Suppose 8\/7 - 24\/7*x + 18\/7*x**k = 0. Calculate x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 35 = -59. Let k(z) = -z + 2. Calculate k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8694476 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4212356 + -250?\nAnswer: -4212626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + y - 6725 = 3*k, 3*k - 3*y - 20193 = 0. Let q be (-3)\/(-6) - 134441\/(-20). Let g = k - q. What is the common denominator of 79\/32 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/4 + 22071*z**2\/2 - 24358659*z + 9741698.\nAnswer: -(z - 4414)**2*(5*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -259300\nAnswer: -259297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 8. Suppose 4*k + 6 = 2*c + 2*k, -4*c = 4*k + 28. Suppose -2 - 6 = -2*b. Let y = b - c. Determine s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from zvzzmmmv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 5. Determine u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i**2 - i)*(-2*i**2 + i**2 + 3*i**2) + 30*i**3 - 30*i**3 + 14*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnw when three letters picked without replacement from {w: 3, l: 3, n: 2, j: 5, t: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:50 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127, 443, 951, 1651, 2543, 3627, 4903?\n\"Answer: 96*t**2 + 28*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9b8 (base 16) to base 15\nAnswer: -b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*g = -9, -4*b - 4*g - 25 = -45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 9*l - 7. Let x be z(-10). Let g = 1529\/4 - 6881\/18. What is the third biggest value in x, g, 1\/5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 22. Let c be (-4)\/8*2 + 12 - -2. Let j be w(c). Let -3\/4*s + 3*s**2 + 0 + 3\/2*s**j - 15\/4*s**3 = 0. Calculate s.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -715, -1430, -2145, -2860?\nAnswer: -3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14075204 is divided by 1407515.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69915 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyf when three letters picked without replacement from ttyptfxfypfppppypyp?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**2 - 58*k - 8.\nAnswer: -2*(k + 4)*(7*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxxxxxxxxxxx. What is prob of picking 2 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.45 - 0.05. Let s = 5 - b. Let g = -8.7 + 9. What is the nearest to -2\/3 in s, g, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 3*n - 41*n = 0. Let f = 28356 + -3572951\/126. Find the common denominator of 1 + n + 8\/(576\/(-618)) and f.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 0.72695?\nAnswer: 5.72695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 754*f + 1741. Give d(-1).\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/2 of a litre?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001001 - 10?\nAnswer: -10110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3287 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - -0.16. Which is smaller: h or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*a**3 + 26*a**3 - a**3 + (2*a**2 + 0*a**2 - a**2)*(17 - 17 - 16*a) - 4 - 3*a**3 + a**3 + 2 to the form t*a**3 + l*a**2 + v + s*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) -1\/684 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 + 6.06. Let i = -108 - -111.56. Let x = o - i. Round x to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98505 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-90)\/4) + 32\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*(-72)\/(-16). Let k = -1 + z. Suppose 0 = 5*p + 10, k*t + 5*p + 11 - 3 = 0. Solve -1 - t = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 - 22552*w**2 + 83202810*w - 99796600836 = 0.\nAnswer: 2738, 4269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 12 + 7 + 18*t + 8 - 16*t + 22*t.\nAnswer: 31*t + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4*(-1134)\/(-72))\/((-2)\/230). Which is smaller: 7247 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 922\/2835 + -16\/405. Put 14, m, -9\/5, -1, -3\/8 in descending order.\nAnswer: 14, m, -3\/8, -1, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - x. Let u be z(-4). Let p = -40 + 28. Is u equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + i**2 - 2*i - 2. Let j be t(-1). Let v be 26 + -15 + -13 + 4. Solve v*n + j*q + 6 = -0*n, 0 = 4*n - 5*q + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**4 + 2*l**4 + 2 - 4*l**4 - 13*l - l**4 as t*l**2 + z*l + v + k*l**3 + j*l**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11602, -11636, -11672, -11710, -11750, -11792?\n\"Answer: -k**2 - 31*k - 11570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/((sqrt(3) + sqrt(6)\/sqrt(2))*-5 - sqrt(3))*2)\/((sqrt(96)*-1 + sqrt(6))*1*6).\nAnswer: sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1896, -1905, -1916, -1929, -1944?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w - 7. Let y(o) = -4*o - 2. Determine 6*f(b) - 22*y(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + (sqrt(7) + 1)*-1)*-2)**2 - 4*(sqrt(175) + -5*(-1*sqrt(175))**2)*6.\nAnswer: -148*sqrt(7) + 21077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 609704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/2)\/b**39)\/(b**(-11)\/b)**(-17\/2) assuming b is positive.\nAnswer: b**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -144a (base 13) to base 5\nAnswer: -43220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -179\/5. Let k = -0.83 - -1.23. Sort k, q, -4.\nAnswer: -4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*a + 66 - 925 - 175 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 224 = -21*p. Solve 4*x + 26 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 1. Let w(q) = 7*q - 1. Let g(o) = 3*n(o) + w(o). Let k(f) = 4*f + 13. Let c(s) = -6*g(s) + k(s). Let v(i) = i - 2. Determine -3*c(j) - 4*v(j).\nAnswer: 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9*f - 702 = 0. Suppose -121 + f = -2*n. Solve n - 6 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2073599.46 to the nearest 1000.\nAnswer: 2074000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4*d + 3. Let b be s(3). Suppose b = 4*m - 17 - 347. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423653376 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/19245 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2\/3, 6452 in descending order.\nAnswer: 6452, -1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526905?\nAnswer: 3, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + c = 33, 2*w + c - 24 = -c. Suppose 0 = -w*o + 4*o. Let z(m) be the third derivative of m**6\/120 + m**4\/24 + m**3 + 100*m**2. Give z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 10*c = 124. What is the remainder when 92 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12246436 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -588078 divided by -294039?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2192)*(-34)\/4. Let m = 92778\/5 + b. Let s = 60 + m. Are s and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 16, 4*a - 17 - 7 = 3*k. Put 151, a, 1 in descending order.\nAnswer: 151, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17976283*h - 25010019.\nAnswer: 17976283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 1.66 (c) 1\/6 (d) -26 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26509 = -5*x + 3765, -5*n + 113867 = -4*x. What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 6*c**3 - 111*c**2 + 104*c. Let q be z(-6). Is -5 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6244, -6208, -6154, -6088, -6016, -5944, -5878, -5824?\n\"Answer: -n**3 + 15*n**2 - 2*n - 6256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = -3. Let l be (-1)\/((-2)\/(-6)*c). Which is smaller: -7\/3 or l?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + 17 - 7*l**2 + l**3 - 2 + 2 + 2*l**3 to the form t*l**2 + y*l + s*l**3 + m and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = -5. Solve 0 = 2*g + 5*m + r, -3*g = -3*m - m + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus -15854014?\nAnswer: 15853998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w - 15 = 0. Let t = w - 1. Let g = 0 + 0. Sort 5, t, g in descending order.\nAnswer: 5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4798, -8261, -11724, -15187, -18650?\nAnswer: -22113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 35 = -2*w + 7*w, 5*v + 3*w = 60. Let u = 19 - v. Calculate the lowest common multiple of u and 1\/(-1) + (0 - -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136627956 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1728)*4 + sqrt(1728)))\/(sqrt(1200)\/sqrt(12) - (sqrt(24)\/sqrt(6)*-6 - sqrt(4))).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/4 - 4*r**3\/3 - 3*r**2\/2 - r - 4. Is l(-6) 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 2552843?\nAnswer: 2552843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 177. Let c be f(27). Calculate the highest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 + -3)\/6)\/((-18)\/100332) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 29. Let h = f + -3. Suppose 163 = q - h. What is the remainder when q is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 5:27 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1000*n + 4975. Determine t(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(4 + (-2)\/1). Let k(t) = -t**3 + 3*t**2 + 2*t + 2. Let b be k(4). Let g be f*1 - (b + 2). Solve 0 = -j - g*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19227.94 + -19228. What is the closest to 7 in -3, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101184020070 rounded to the nearest 1000000?\nAnswer: 101184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((1 + sqrt(567))**2 + (sqrt(21)\/sqrt(3) - sqrt(7)) + -1)*4.\nAnswer: 576*sqrt(7) + 18144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1381101.\nAnswer: -5\/1381101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g - 70*g + 300 = 0. Suppose 0 = g*t - 25*t - 4*m + 1376, t = -4*m + 288. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 1062234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2231, -8892, -20005, -35576, -55611, -80116?\n\"Answer: -w**3 - 2220*w**2 + 6*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 227 times -0.1\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 0 - (-4 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03214 or 1243?\nAnswer: -0.03214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 43. Let u = 38 - 17. Let c be v(u). Sort 3, c, -3.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:55 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 + 4. Let l be (4 + 26\/(-6))*-3. Let t be l\/(-2) - (-52)\/8. Suppose 7 = -7*u + t*u. Determine a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 3) to base 9\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x - 39 + 39)*(5*x**3 + 0*x**3 - 2*x**3).\nAnswer: -42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313 (base 7) in base 6?\nAnswer: 5254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1681 - 1760 - (0 - 44)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 227915348 divided by 31153\nAnswer: 7316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37360 (base 9) to base 10\nAnswer: -25083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-244))\/((-2)\/12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13850, -55351, -124512, -221327, -345790, -497895, -677636?\nAnswer: -885007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 21. Let f = -127\/1026 - -1\/54. Which is the closest to 0? (a) r (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 4670*t**3 - 28*t**2 + t + 57539056?\nAnswer: 24*t**2 - 28020*t - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1249 divided by -1249\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 923, 2846, 4759, 6656, 8531, 10378, 12191?\nAnswer: 13964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3)\/(14\/(-21)) + -3. Let j be -5*((-27)\/t)\/(-9). Solve j*m + 10 = 4*x, -m - 5*x - 1 + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 10:30 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/92)\/3*22*46\/(-1265).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52734 (base 8) in base 9?\nAnswer: 33132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -210, -666, -1136, -1626, -2142, -2690, -3276?\n\"Answer: -p**3 - p**2 - 446*p + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/117840 and 77\/1920.\nAnswer: 942720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41733 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:46 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -436 + 294. Let w = l + 473. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4336577 to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*(-20)\/(-25).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 + 3)*(-19*p + 2 + 5 - 13) to j + d*p and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -11, 41, 105, 187?\n\"Answer: v**3 - 3*v**2 + 48*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 514894 and 1029788.\nAnswer: 1029788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52428024 by -329736.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.0183 and -23863193.\nAnswer: -23863195.0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 - -110?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 808685953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97237461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1 + (-357)\/(-90) - 3). Suppose 0 = s*w - 29*w - 3. Suppose w*n = n + 156. What is the highest common factor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2\/11, -1\/4, 1.8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 6. Let m = 13 + l. Put m, 5, -5 in descending order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*n**2 + (-4*n + 6*n - 4*n)*(4*n + 2*n - 4*n) + 0*n**2 + 2*n**2 - 3*n**2)*((-3*n + 4*n + 2*n)*(-4 + 2 + 0) - 5*n - 15 + 15).\nAnswer: 77*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*f*t**3 + 2*f + 1045*t**3 + 39373 wrt t?\nAnswer: -174*f*t**2 + 3135*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/3 + 154*n\/3 - 2204\/3 = 0.\nAnswer: 19, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-8)\/10) + (-2189)\/(-15124)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 5. Let q be m(-7). Suppose q = 2*h - 6*h. Suppose -22*f = 143 - 33. What is the third biggest value in f, -1, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -13*o**3 + o**2 + 6*o + 4. Let h be k(-1). Calculate the highest common divisor of h and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 8:32 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1025879 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - i - 43. Let x be h(0). Let m = -39 - x. Solve -22 = -3*o + 4*u + 9, -m*u - 21 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(6\/11)*o**7\/o*o)\/(o**(1\/14)\/(o*o*o\/(o**(-3\/7)\/o))))**(-20))**(-1) assuming o is positive.\nAnswer: o**(18330\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*(5 + -2). Let y = g - -1. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q**3 + 0*q)*(7 + 6 - 9) + ((-2 + 3 - 3)*(2*q - 2*q - 2*q**2) - 22*q**2 - 22*q**2 + 42*q**2 + 28)*(4*q - 4*q - 2*q).\nAnswer: 4*q**3 - 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 10*d - 18. Let s be k(-7). Suppose f = -4*f + 15, 0 = -3*w + s*f + 3. Let b(t) = 0*t + t + t**3 - 1 - 5*t**2 - t**3 + t**3. Give b(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let c(t) = 88158871*t. What is d(c(i))?\nAnswer: -7771986535994641*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81.1520347 - 379237557.1520347. Let u = d - -379237427.99999977. Let s = -48 - u. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 39. Let q = z + 19.9999951. What is q rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -31. Let x be (8\/n)\/(17\/85). Let o be x\/(-6)*(-12)\/(-8). Solve 3*l - o = -4*w - 2, -w = 2*l - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 1\/2*n**2 + 9*n + 23. Let k be i(-3). Solve o - k*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300000 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59760 and 3774840.\nAnswer: 22649040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3 = 5*g, g = -2*p - 304 + 303 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-6))\/(32\/(-48)). Solve k + 2*k + j = 0, -4*k - t*j - 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02757304349 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106\/13*a + 270\/13*a**2 - 32\/13*a**4 - 144\/13*a**3 + 12\/13 = 0. What is a?\nAnswer: -6, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767 = -3*n + 652. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 36*i**2 - 2*i - 2. What are the prime factors of t(2)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 114 + 45 = 4*k + 49, 3*o - 34 = -k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - -5.86. Let b = s + -2.06. What is the third biggest value in 0.4, 0.1, 3\/8, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 27691d?\nAnswer: 276919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2374594.4371 - -2\nAnswer: 2374596.4371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 + 214. Sort z, 5, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 9*d - 20. Let j be n(-11). Suppose 0 = o - 3*s - 17, -5*s = -o - 0*s + 27. Suppose 4*b**2 - b**3 - b**4 - j*b**o + 2*b**3 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 4\/29 (b) -0.1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -106.166, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u**2 - 3*u**2. Let y(d) = 10*d - 5. Let w(t) = 10*t - 4. Let h(l) = 5*w(l) - 4*y(l). What is h(a(q))?\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28299.81876 rounded to the nearest 10?\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 7. Let o be u(-6). Let t = 160 - 163. Which is the fourth smallest value? (a) o (b) -2\/3 (c) t (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((225 - 66) + -86)*((-2)\/6 - 12\/(-9)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -155. Suppose 4*u + n*t - 5567 - 846 = 0, 0 = 3*t - 15. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*b - 97, n - 4*b + 5 - 57 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/15)\/(4\/18). Let y be 5*((-36)\/(-10))\/f. Let j(b) = 13*b**2 + 11*b - 11. Let g(t) = 7*t**2 + 6*t - 6. Give y*j(a) - 11*g(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 132 = p - 124, -5*f + 3*p = -34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 166193056 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1850 and -16.5?\nAnswer: -30525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4226*c**3 + 5*c**2 + 4*c - 3. Let v be r(-2). Suppose -5*w + v = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3330 + 5?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13170?\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17170 + -6?\nAnswer: 17164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 + 7*n**3\/3 - 12*n**2. Let y be w(-5). Solve 5*k = 4 - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 0 - 35*u + (3 - 5 + 4)*(-u + 2*u + 0*u) in the form j*u + s and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*5*-1. Let w = 9.9 + -10.3. What is the second smallest value in w, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025596 rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(2\/5)\/q)\/q)\/q)**(-35))**(-3\/11))**(-32) assuming q is positive.\nAnswer: q**(8736\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:57 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**7\/840 - p**6\/240 - 5*p**4\/8 - 6*p**2. Let z(b) be the second derivative of i(b). Factor z(u).\nAnswer: -3*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1218 and 4979646.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 43, 11, 26.\nAnswer: 0, 0.1, 11, 26, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 664727 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.4993 millilitres in litres?\nAnswer: 0.0504993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522 - 1889 = -70*r + 956 - 217 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1159 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6615 is divided by 264.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -73*b - 33. Let x be (2\/6)\/(5 - 296\/60). Let o(r) = 36*r + 16. Let p(m) = x*o(m) + 3*u(m). List the prime factors of p(-6).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28777 + 131268. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*q**2 + 32*q**2 - 81*q**2)*(-3*q + 3*q - q)*(5*q - 4*q + 0*q)*(0 + 2 - 1).\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637853378?\nAnswer: 2, 1818926689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27265 divided by -41.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3 - 17. Let d(g) = 22*g. Determine d(z(x)).\nAnswer: 66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a + 35. Let z be m(-3). Suppose -z*w = 2, 3*h + 5*w = -16 + 20. Factor -13\/2*y**h + 3*y**2 - 1\/2*y + 6*y**4 - 2*y**5 + 0.\nAnswer: -y*(y - 1)**2*(2*y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 - (-2 + 26 - (0 + (7 + -5 - -8))).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7691 + 7694. Let v(q) = q**3 - 3*q**2 - q - 2. Let y(a) = a**3 - 5*a**2 - 3*a - 3. Determine u*y(g) - 5*v(g).\nAnswer: -2*g**3 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 9*q - 10. Suppose 5 = -0*g - q*g. Let a be (4 + 3)*(g - (-6)\/3). Sort -5, 3, a in ascending order.\nAnswer: -5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from jktttttjktttttj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 4\/5 (c) -0.3 (d) -6948\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7809 - 4858. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 63. Let d be z(8). Let x be (3 - 2)*1232\/d. Is 22 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 2, 26\/15, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21279\/14532)\/(8\/224).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 953854, 953881, 953908, 953935, 953962?\n\"Answer: 27*l + 953827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*z**2 + 4*a*z - 46*z**4 + z**3 + 5*z wrt z.\nAnswer: -4*a - 552*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 23227237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1757096\/(-107140))\/(((-6)\/5 - -1)\/1) - -2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 350 - 913 = 5*k, 5*y = -k - 95. Let l = k + 163. Suppose 2*u - l = -4*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/30*(-4449)\/6. Let w = 291\/4 - o. Sort w, -5, -1\/6 in increasing order.\nAnswer: -5, w, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8626 or 8625?\nAnswer: 8625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**4\/12 + 7*i**3\/6 + 19*i**2 + 13*i. Calculate the remainder when f(9) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 12*g - 52. Give c(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 104 = -5*w, -3*w - 3*t = -75. Calculate the highest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/104006 and -33\/19159.\nAnswer: 728042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (17 - (6 - -4 - 1) - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1901 + 36134\/19. Sort 1\/6, f, 2\/9 in ascending order.\nAnswer: 1\/6, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/2)\/((-3)\/4). Let r = w + 4. Let c = r - -4. Solve c*x = -l, 2*l - 5*x = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 45*q - 244. Let v be z(7). Sort v, 2, 3 in increasing order.\nAnswer: 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-2)*p**(2\/5))\/(p**(-5)\/p**8))**(-49))**(-1\/26) assuming p is positive.\nAnswer: p**(4263\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(90)*2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3960128322 to the nearest integer?\nAnswer: 62930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.066 + -34.\nAnswer: -33.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 5, -17, -11, -2, 19 in decreasing order.\nAnswer: 19, 5, 3, -2, -11, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*j - 580 = -127*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/90 - 3\/(-35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 13. Suppose 4*p + 0*p = 4*j - 36, 4*j - 3*p = 33. Calculate the remainder when 19 is divided by i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021227 rounded to 5 decimal places?\nAnswer: 0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1845933)\/(-118))\/(2\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 9. Calculate the lowest common multiple of l and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -3 - -7 - (109 + (-93 - -11))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -31*v - 21. What is the nearest to -20 in 1, v, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 l, and 1 f when four letters picked without replacement from ffufxnulufnfunfnf.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -105. Let z(h) = -5*h - 8. Let m be z(-6). Calculate the highest common factor of a and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -41, -116, -233, -398, -617, -896, -1241?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130\/5 + (-1 - 5)*(-2)\/(-6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u - 9. Suppose -4*v - 28 = -u*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423110013 (base 5) to base 7.\nAnswer: 43432536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -11*j + 26. Solve -j*p - 19 = m, 4*m + 5*p - 6 = -22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*f + 13, 5*l - 161 + 196 = 5*f. Suppose -3 - 3 = -2*u, 5*d + 3*u = -21. Let g = -5 - d. Sort -3, g, f.\nAnswer: -3, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i + 4. Let a = -2 + -3. What is the units digit of c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:12 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 + 2 - 0. Let k be (1 + (2 - 3))\/2. Let b be 3 + -3 + (2 - k). Calculate the greatest common factor of s and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31482 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62, -49, -28, 1, 38?\n\"Answer: 4*q**2 + q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(((b*b**(-3\/14))\/b)\/b)*b)))\/b)\/(b\/((b*b**(-1))\/b)*b)*((b*b**(-15\/7))\/b)\/(b**(-6\/7)*b) assuming b is positive.\nAnswer: b**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 2c3a?\nAnswer: -2c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 + 2*u - 1. Calculate y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by -3.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -117114 + -4?\nAnswer: -117118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07307715 rounded to 4 dps?\nAnswer: -0.0731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 8. Let c be r(6). Let v(g) be the second derivative of 0*g**c + 2*g + 0 + 3\/10*g**5 + 1\/6*g**4 - 2\/3*g**3. Factor v(a).\nAnswer: 2*a*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 times -23?\nAnswer: 3358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 2*r + 1228 = 28*d, -5*d + 3078 = 3*r. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -241, -4, 2\/11, 2\/143, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14) + -13 + 371\/49?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -468, 4, -1, 24 in ascending order.\nAnswer: -468, -1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53281, -215819, -486715, -865969, -1353581, -1949551, -2653879?\n\"Answer: -54179*x**2 - x + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/l*l**2)**(13\/6) assuming l is positive.\nAnswer: l**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99557306 a multiple of 1889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 2. Suppose 4 = -w + 2*p, -19*p + 10 = -3*w - 15*p. Let f(o) = 6*o - 1. Let d be f(2). Let n(k) = 16*k + 10. What is d*l(a) + w*n(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*d + 11, -449*d + 1 = -454*d + 14*w - 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363210611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035794 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2013, -2103, -2193, -2283, -2373, -2463?\nAnswer: -2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*x + 11304 = 0, -4*x + 27556 = -3*w - 6348. Let p = -7332 - -4036. Let r = p - w. Round r to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4870)\/(-13636))\/((-1)\/7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p)\/(p\/(((p\/p**(12\/5)*p)\/p)\/p)*p)*((p**1\/p)\/p)**(5\/3))**(1\/14) assuming p is positive.\nAnswer: p**(-61\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -54*s**3 + 44*s**2 + 6*s - 1057. Let c(h) = 280*h**3 - 219*h**2 - 32*h + 5285. Let o(w) = -4*c(w) - 21*j(w). Differentiate o(g) with respect to g.\nAnswer: 42*g**2 - 96*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3223 = -705. Let f = s + 1168. Round f to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*f + 17 = 74, 0 = -5*v + 4*f - 61. Let d(l) = -l**2 - 24*l - 142. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/120 + 13*l**5\/60 - 5*l**4\/8 - 13*l**3\/6 - 13*l**2\/2 - 100. Let p(m) be the second derivative of t(m). What is p(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14771?\nAnswer: 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85287 is divided by 1254.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 329 = 418 - 233 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.635934 to 2 decimal places.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12859 + 12864. Let s(o) be the second derivative of -o**3 + 1\/10*o**m - 2*o**2 - 4*o + 0 + 0*o**4. Factor s(x).\nAnswer: 2*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a72 (base 11) to base 12.\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 305*n**3 - n**2 + 2*n - 1. Let i be a(1). Suppose -k + 59 + i = 0. What is the tens digit of (k\/21)\/((-2)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32550 and 21700?\nAnswer: 65100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -617*d**2 + 16*d + 8. Let t(k) = 2262*k**2 - 58*k - 29. Let l(j) = 8*t(j) + 29*x(j). Let s(m) = 4*m. Determine l(s(u)).\nAnswer: 3248*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1392 and 91524.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2584315, 20, 4 in decreasing order.\nAnswer: 2584315, 20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.05 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2) + -1 - (-1 + sqrt(99) + 2).\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 26 - 15)*(-2*q**5 - 3*q**3 + 3*q**3) - 3*q**3 + 3*q**3 - 2*q**5.\nAnswer: -34*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + z - 6*z. Let j(y) be the third derivative of -5*y**4\/24 - 19*y**2. What is g(j(d))?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -2.3. What is the closest to 0 in m, 70, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 255339559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1981.25 or 3?\nAnswer: 1981.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 425?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(17\/36 - 16\/72). Let h = c - -12. Solve -5*v - 3 = -r + 1, r - v = h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*b = -72 - 9, 46 = g + 4*b. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21757825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*k - 9, -3*z + 36 = -0*k - 3*k. Let y be 4\/6*54\/(-4). Let l = y + 12. Solve -2*b - l*b = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11 = -u, 2*u + s = -2 - 5. Let r be (u - -8)\/((-3)\/(-2)). Suppose -844 = -0*m - r*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 1. Suppose m + 3*r + 22 = 0, -2*r + 80 = -3*m + 3*r. Let b be 1 - 5\/m*-15. Determine t(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/2 (b) 9\/13 (c) -519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 80*d**4 + 55*d**3 - 18945*d**2 wrt d?\nAnswer: 120*d**2 - 1920*d + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -35*v**3 + 8*v**2 - 5*v - 7. Let c(w) = -w**3 + w**2 - w. Let r(n) = -4*c(n) + d(n). Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.812, -422\/9, 9?\nAnswer: -2.812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1780*f. Let a = -6 - -16. Let o be l(a). What is o rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2735 and -0.24.\nAnswer: -656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 62770*y. Let g(t) = 14*t**2. Calculate o(g(i)).\nAnswer: 878780*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318)\/10494*(-36)\/(-42)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100 + -1000?\nAnswer: 11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 7*x + 42. Let h(n) = 13*n**2. Determine o(h(g)).\nAnswer: -169*g**4 - 91*g**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91130 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 2}. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 6*t - 10036. Let h = t + -632. What is the greatest common divisor of 196 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-678*t + 2*t**3 - 5*t**3 + 4*t**2 + 680*t - 3*t**4)*(1 - 1 + 3 + (-3 + 5 + 0)*(1 + 2 - 4)) to b*t**2 + c*t + w*t**3 + h + l*t**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.09 (b) -3 (c) 29 (d) 0.5 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3134, 3, -0.02 in ascending order.\nAnswer: -3134, -5, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 154992 divided by 154992?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26 - ((-21 + 0 - -11) + 19)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from {y: 4, p: 3, t: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 67. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 - 17427?\nAnswer: -17500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 + 415. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6cc4 - 45?\nAnswer: 6c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*d**2 + 1085*c + 13*d**2 + 4*d wrt d?\nAnswer: -2*c*d + 26*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47335800 and 14.\nAnswer: 331350600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -150, -335, -594, -927, -1334?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - 4*l**2 + 5*l**2)*(-2*l + 0*l + l) - 1554*l**3 + 774*l**3 + 765*l**3 to v*l + u + f*l**3 + o*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/7 - 3*m**4\/7 + 85*m**3\/7 - 261*m**2\/7 + 180*m\/7 = 0. Calculate m.\nAnswer: -12, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let x(f) be the first derivative of -b*f**2 - 4*f + 2 + 5 + 6*f**2. Differentiate x(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3. Let u be z(-1). Let h(r) = -3 + u*r + 0 - 1. Calculate the lowest common multiple of h(6) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(3\/36*6). Suppose 4*o - g + 12 = 0. Calculate the highest common factor of o and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3263 + 7026. What are the prime factors of l?\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -53. Is z equal to 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5897 and -3.\nAnswer: -5900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -5, -14 in increasing order.\nAnswer: -14, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.297*1137\nAnswer: -337.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -45485 to the nearest one hundred.\nAnswer: -45500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 1270*m**3 - 2*m**2 + 1342*m**3.\nAnswer: 72*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51579.83ng?\nAnswer: 0.00000005157983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2312306*f + 1156090*f + 1156111*f.\nAnswer: -105*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3144*v**2. Let l(u) = 15*u + 7. Let j(b) = -4*b - 2. Let x(t) = -7*j(t) - 2*l(t). Determine c(x(a)).\nAnswer: 12576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.39051 decades to years.\nAnswer: 373.9051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59194167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/13 (b) -8\/9 (c) 3\/7 (d) 47\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 90452853.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0582*278.\nAnswer: 16.1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14.5 - 21\nAnswer: -35.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 1. Let t be a(0). Suppose -5*f + t = 3*r - 0, -f + 5 = 3*r. Does 11 divide 41 + 1 - (0 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12310 and 61\/20.\nAnswer: 24620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2923, -6536, -10831, -15802, -21443, -27748, -34711?\n\"Answer: i**3 - 347*i**2 - 2579*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 147*o + 3107. Let t be g(-21). What is the highest common factor of t and 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 19\/2*p**2 - 1 - 4*p. Calculate the remainder when w(3) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**19\/(g**(-10\/11)\/g*g))\/(g*g**(2\/3)*g**(13\/4)))**(3\/7) assuming g is positive.\nAnswer: g**(1979\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 509, 1144, 2033?\nAnswer: 3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2412*u + 36383 + 10885 = -85461 - 2343 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4739932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 181. Let v(y) = -6*y + y + k*y. Let z(n) = 2*n. Give -5*v(b) + 4*z(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 + 12*p + 14. Let s be r(-11). Suppose -s*u = -9*u + 18. Suppose 5*x - u = 57. Solve -x = 5*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6)\/((t*t*t*t\/(t*t**(-6)\/t)*t*t*t*t)\/t)*t**5*t*t**(1\/5)*t*t*((t*t**(1\/4)*t)\/t)**(-16)\/((t**0*t*t)\/t)**5 assuming t is positive.\nAnswer: t**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1481 or 42946\/29?\nAnswer: 42946\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2003384\/6 + -1 + 126\/189. Suppose 4*s + 394608 - 60712 = 3*h, -3*h + 3*s + b = 0. What is h rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 1.6. Let r = 2620 - 52399\/20. What is the biggest value in -4, 4, r, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-60)\/(-25))\/(2\/30). Let u be 15\/(-25)*30\/o. What is the closest to u in 2\/19, 1.4, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-9))\/(8096\/6072)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, s: 4, q: 2}. What is prob of sequence ooo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -15.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2*2)\/(6\/(-3)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*q - 4922 = -4936, -k - 7 = 4*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17942291 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/12275 + 122864\/36825. Factor n*h**4 + 0*h**3 + 0*h**2 + 0*h - 2\/3*h**5 + 0.\nAnswer: -2*h**4*(h - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-495)\/(-20))\/(-9))\/((-3)\/24)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 88. Determine g(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.94861 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*w = -6. Find the common denominator of ((-1)\/(-9))\/(w\/49) and 43\/(-102)*(-63)\/(-21).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhbu when four letters picked without replacement from muumzhumzwzmwwzmb?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -122. Solve d = 10*b - 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/66 and -87\/8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*g + 1689 = 6*s, s = -4*g + 408. Suppose s = 2*b + 3*w - 440, 0 = -5*b - 2*w + 2139. List the prime factors of b.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81163, -162565, -244169, -325981, -408007, -490253?\nAnswer: -572725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 6*d - 7. Let a(w) = -w**2 - 5*w - 6. Let s(h) = -h**2 + 7*h - 7. Let f be s(4). Give f*o(t) - 6*a(t).\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 25*y - 76. Determine n(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/24*2\/56*-4*(-441)\/105.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88 - 143) + -4 + 52.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/154 and -79\/10857.\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 32*z**3 - 4*z**2 - 4*z + 2. Is v(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 93144*x\/5 - 722983728\/5.\nAnswer: -3*(x + 15524)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2242 and -0.056.\nAnswer: -2242.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132108 (base 9) to base 3.\nAnswer: 11002010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 48*o**2 + 74*o + 13. Is j(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 18, h: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmemee. What is prob of sequence eemm?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4824*p - 13. Let d(n) = -2631*n. Determine d(k(w)).\nAnswer: -12691944*w + 34203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 37. Solve 3*g - 4*g + 28 = -5*t, -t + 4*g - l = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21720 and 120?\nAnswer: 21720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-457996)\/21)\/(-11)*2\/4. Let w = -2023\/2 + a. What is the common denominator of 11\/18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 1. Let k(i) = -i + 1. Let n be k(w). Let o = 3 - 3. Is n at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -196, 3, -11, -145, 0 in descending order.\nAnswer: 3, 0, -8, -11, -145, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 - 3*d + 5. What is the remainder when 56 is divided by i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -106. Let t = 81 - 48. Suppose -5*m + t = -2*m. Calculate the greatest common factor of w and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 23*i + 3*i**2 + 0 - 2*i**2 - 22*i as a*i**2 + r + t*i and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-5 - 18)) + (6 - 10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 - 5*g. Let b be z(-5). Solve 15 = -2*j - 5*d - 0*d, 4*j - 3*d + 17 = b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:10 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22352.28 years to centuries.\nAnswer: 223.5228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2282 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/228048 and 73\/144?\nAnswer: 684144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 219. Let l(t) = -5*t - 183. Let p be l(-31). Let d be x(p). Let m be 2\/9 - (-70)\/9. Solve 6 = -5*k - d*v - 19, -k = 2*v + m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351510066 is divided by 9147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w + 990 = 64*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 + 3*u**2 + 4. Let x = -7654 + 7661. Let m(w) = -6*w**3 + 5*w**2 + 7. Give x*b(z) - 4*m(z).\nAnswer: 3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 68*u**3 + 34*u**3 + 33*u**3 + 10*u + u**2 as j + y*u**3 + d*u + z*u**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 8*j**2 - 6*j**2. Let b(c) = -c**2. Give y(b(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108845 from 0.3.\nAnswer: -108844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -2, 3, 2 in increasing order.\nAnswer: -83, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1125))\/sqrt(9) - (5*2*sqrt(500))**2.\nAnswer: -50000 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m = 188*m - 17*m + 9758 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 155 = 25 + 980. Solve 0 = -f*m + 12*m + 168 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43210 + -1?\nAnswer: -43211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -2 (c) -1\/3 (d) 1.7 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38989292 divided by 4.\nAnswer: 9747323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from ddddddcdddcddcddccd.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000364045 to seven dps.\nAnswer: -0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 12*v**2 - 193*v - 2327. What is q(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or 46?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-1125))\/(((-10)\/375)\/((-92)\/1380))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, p: 1, c: 9}. Give prob of picking 1 p and 2 q.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85540 and 3104192?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3070 - -2042. Let q be (-1)\/258*x - 4. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/18)\/((-1258)\/333)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -48. Let z = 0.2 - 3.2. Which is the third smallest value? (a) 0.5 (b) 5 (c) i (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - q + 54 + 5*q - q to the form r + j*q and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, l: 3, e: 3}. Give prob of picking 1 i and 3 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**3 - 11*m**2 - 14*m - 47. Let x(r) = -11*r**3 + 10*r**2 + 11*r + 43. Let b(z) = 4*o(z) + 5*x(z). Calculate b(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 9, -v + 3 + 5 = -2*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 292818193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796399 is divided by 532?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/6 - -17\/6. What is the closest to -1\/51 in 4, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 12, -1 + 13 = -3*b - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/(-810) + (-1498)\/252?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 416863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 2185697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2 (b) 0.06 (c) -0.59 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 79542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1\/3 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-4) + 2 - 2652\/(-624). Let o(z) be the first derivative of z**3 + i*z - 40 - 1\/4*z**4 + 1\/2*z**2. Give o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(-99 - -96) + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515350742 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52926 or -52921?\nAnswer: -52921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20878*q + 79*q - 23458*q + 3705*q.\nAnswer: -40552*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -18) + (-1 - 0) - 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7215 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-2)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 1822817.\nAnswer: -89\/1822817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 41169995*a - 41170000 = 0. Calculate a.\nAnswer: -1, 8234000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let t(i) = -13*i**4 + 7*i**2 + 14. Let n(y) = 14*p(y) + 2*t(y). What is the derivative of n(c) wrt c?\nAnswer: -104*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 2*u - 2. Let m(r) = 3*r - 1. Let a be m(1). Let k = -198 + 200. Suppose -g + a*g = k. Calculate t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/7 - 236*t**3\/7 + 2054*t**2\/7 + 4808*t\/7 + 360 = 0 for t.\nAnswer: -126, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2, f: 1, o: 1, n: 1, s: 1}. Give prob of sequence nfpz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 2000?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -1 + -15 + 23 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*x - 1 + 12, -1 = 4*a + x. Let s be 21\/6 + 2\/4. Let i be ((-6)\/s - -2)*-8. Sort i, 2, a in descending order.\nAnswer: 2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**4\/4 + 52*s**3 - 4056*s**2 + s - 516. Let v(f) = 0. Calculate f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 30, -11, -3 in ascending order.\nAnswer: -20, -11, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199 - -201. Are a and 111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46284, 46283, 46282?\n\"Answer: -j + 46285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41155841 is divided by 8690.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-26 - -72) + -61.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = -31*l + 3*h + 91050, -3*l - 3*h = -68298. List the prime factors of l.\nAnswer: 2, 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6489?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -13. Let k = 35 - 23. Let x = k - q. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02573038 rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2*i + 0*i - 4*i)*(1 - 4 + 2)*(0*i**3 - 2*i**3 + 4*i**3 + 2*i**3 + i - i - 2 + 2 - i**3 + (i**3 - i**3 - i**3)*(0 + 0 - 3)).\nAnswer: 12*i**4 + 78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10 (b) 2\/17 (c) 14\/5 (d) 35\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 6*h**2 - 90*h + 45*h - 7*h**2 + 51*h + 4*h**3.\nAnswer: 4*h**3 - 11*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12012263, -24024527, -36036791, -48049055, -60061319, -72073583?\nAnswer: -84085847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1720 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p - 6. Let j be c(4). Suppose -o + j = 18. Suppose -w + 11 = -5. Calculate the greatest common factor of o and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -246*t + 184. Let i(m) = m + 1. Let h(n) = 10*i(n) - q(n). Find the first derivative of h(y) wrt y.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**4 + 5*f**4 - f**4 + (2*f**2 - 1 + 1)*(-2 + 2 - 2*f**2) + (3 - 2*f - 3)*(-2 + 2 + 2*f**3) + 2*f**4 + 0*f**4 - f**4.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 190, 197, 216, 253, 314, 405?\n\"Answer: d**3 + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**2*k**2*q**2 - a**2*k**2 - 90617*a*k**2*q**2 + 731*a*k**2 - 625*a*k*q wrt q?\nAnswer: -22*a**2*k**2 - 181234*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1606600 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868214 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 0*x**4 - 4*x**2 + 0 + 0*x**3 + 0*x - 1\/150*x**5. Factor r(u).\nAnswer: -2*u**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s - 8. Let q(x) = 8*x + 4. Determine -3*d(j) - 5*q(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.999966 + 7. Round k to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.9851 to one decimal place.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108333263866 + 108333263426.00000627. Let t = i - -440. Round t to 7 dps.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2244, -7267, -15634, -27345, -42400, -60799?\nAnswer: -82542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -10, -8304, -11 in descending order.\nAnswer: -10, -11, -13, -8304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*a**3 + 220*a**2 + 35\/3*a**4 - 650\/3*a - 125 = 0. Calculate a.\nAnswer: -5, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117282 divided by 558641.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -16*b - 1. Let s(y) = -y**3 - 8*y**2 + 524*y - 991. What is the remainder when h(-2) is divided by s(18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)\/(-11) + (6725278\/33649 - 200).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 5 + 32 + 0 + 1 - 3 + (-3 + 1 + 0)*(0 + 2 - 1) + 2 - 2 - 2)*(-4*w + w + 5*w).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -119, -182, -247, -314, -383, -454?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 + 3*j**2 + 3*j + 3. Let f(u) = 6*u**3 - 2*u**2 - 2*u - 2. Suppose n = -4*n + l - 6, 2*n - 4*l - 12 = 0. Give n*m(i) - 3*f(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 3, l: 7, d: 3}. Give prob of picking 1 j and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-6)\/33 - (-5577078)\/429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.86 (b) -1\/2 (c) 1.53 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/182*210\/360?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3*-3 - 4. Let j(y) = -y**3 + 2*y. Let q be j(a). Solve -5*z = 2*v, -q*z = -4*v - v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21407 is divided by 7131?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 5*u)*(2 + 0 - 4).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d + 80. Let u be c(16). Is -0.07 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 13*c + 3. Let q be v(-13). Suppose -q*k = 34 - 64. Solve -4*i + k = f + 3, 0 = 2*f - i + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 - -4346423.\nAnswer: 4346422.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2 - 8) + (-236 - -233) + 11 - -64.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/91 + (-1162580)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231142908?\nAnswer: 2, 3, 61, 337, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895467594.\nAnswer: 2, 3, 7, 47, 453631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9843687*o**2*z**3 + 2*o**2*z + 2*o**2 + 698*o*z - 9*z - 4 wrt z.\nAnswer: 59062122*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/((-252)\/(-16)))\/((-2)\/7). Solve -m - y = -5*a, -3*a - 1 = -2*m + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 + 40 = 0. Let p = -6 - n. Let u(y) = y**3 - 3*y**2 + 3*y - 3. What is u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 23\/4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**6\/3 - 4*p**5\/15 - 2*p**4\/3 + 4*p**3\/9 + p**2\/3 - 1. Determine o so that h(o) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y*y\/(y**(-1\/6)*y))))**(5\/14) assuming y is positive.\nAnswer: y**(65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9671 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488024 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -3*o + 1084. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.145 - -0.245. Which is the closest to m? (a) -5 (b) -0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 + 67 = -8*x. Let r(p) = p**2 - 9*p. Let f be r(9). Let c be 2 - f - (17 - 35). Are x and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 + 31*u. Let h(k) = 3*k. What is a(h(q))?\nAnswer: -27*q**2 + 93*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326941?\nAnswer: 3326941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**4 + f**3 - 1. Let h(t) = -8*t**4 - t**3 - t + 1. Let i(v) = -h(v) - u(v). Find the second derivative of i(k) wrt k.\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*2\/(-6)*15. Suppose s = -3*p + p. Suppose 218*r - 357 = 28*r + 213. Which is the biggest value? (a) r (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1216*w**3 + 19*w**2 + 38*w + 76. Let t(m) = 135*m**3 + 2*m**2 + 4*m + 8. Give 4*s(v) - 38*t(v).\nAnswer: -266*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 76) + (1271 - 1261)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s - 3 = 0. Let b be 2\/6*s*13. Let c(y) = -2*y + 3. Is 23 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 - (-54 + 54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 761.893587us?\nAnswer: 0.0000000012597446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 134\/948 - 2\/6. Let i = n + 2\/79. Find the common denominator of -69\/10 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 + u + 2. What is n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.39.\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73771, 147663, 221555?\n\"Answer: 73892*i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12 = -66*h + 62*h, -h = -5*x - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 15. Let v be a(-6). Suppose 3*z + n - 5 = 0, 7*z - v*n = 4*z - 15. Is z > 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40870 and 205690?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8113830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 236*g - 240*g. Suppose 4 + 2 = 3*w. Suppose -4*d + 42020 = -a, -w*d + d = -g*a - 210005. Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 601*c**3\/6 - 2680*c**2\/3 + 7973*c\/6 + 343\/3.\nAnswer: (c - 7)*(c - 2)*(601*c + 49)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2 - 2 - b + 0 + 4. Let l(o) = 24*o - 1. Let q be l(1). Suppose 0 = -i - 15 + q. Determine a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -26 + 286*p - 292*p - 25. Let s = -8 + -6. Does 11 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - ((-4 - -6) + -10 - (-153 - -134))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1700883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioooi. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. What is the biggest value in -0.1, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-2)\/8 + -29 + 630\/(-72). Sort 9, 5, m in ascending order.\nAnswer: m, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 1, y: 1, l: 1, u: 2}. What is prob of picking 1 e and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 3. Let n be i(-4). Suppose 0 = -4*g + 2*m - n*m + 41, 2*g + 4*m = 38. Calculate the lowest common multiple of g and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 73947 = -t + 3*v, -3*v = 3*t + 221829. Let l be (-570292)\/t - (-2)\/(-1). Let z = -10\/1027 - l. Find the common denominator of -127\/12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5012*v - 10088*v = -5004*v - 288 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 14956 + 15011 = 0. Let v(a) = -a**2 - 13*a - 50. Determine v(f).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z, 0*z + 1 = j - z. Let g be 0*-2*((-3)\/(-2) - j). Solve g = 3*y - 3 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*k - 4473 = 0. Suppose k = 2*v - 5*g, -4*v + 4*g = -521 - 491. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*u + 402 = 2*c, -4*u = -3*c + 250. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**4 + 1435*p**3 + 135315*p**2 + 3998825*p - 18253460 = 0.\nAnswer: -97, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1800 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksssggk. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 24, 10 in ascending order.\nAnswer: 0, 2, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66091721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/5 - 24*z**2\/5 - 20*z - 72\/5.\nAnswer: 4*(z - 9)*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2684\/5 - 136883\/255. What is the fifth biggest value in -0.1, t, -0.3, 0.5, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -22 - (-3 - 2)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177*((-1472)\/5428)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189107.\nAnswer: 19, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308531582.\nAnswer: 2, 154265791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from weqwwewqwwdwoqqwwe.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 95?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12 = -3*d, 152 - 170 = -d + 3*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*k = 2*f + 358*k - 2, -25 = f - 5*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 3*m. Let q be o(-5). Suppose -k - 10 = -46. Suppose -2*v - k - 62 = -4*u, 54 = 2*u + 4*v. Calculate the highest common divisor of q and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eey when three letters picked without replacement from {y: 2, e: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-15))\/((-2)\/(-3)). Is 5 a factor of j + -1 + -1 + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 34859\nAnswer: -3485.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 101 + 36 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -388*y + 10443. Give d(28).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500060*o + 211*o**2 + 1500060*o - 213*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -850839, -850829, -850815, -850797, -850775?\nAnswer: -850749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-135)\/(117\/(-13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2930\/(-2) - 2\/2)\/2. Let s = 1062 + p. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**3 + 11*n**2 - 36*n**2 + 11*n**3 wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9*p + 35 = 0. Let c be 70\/(7\/(p\/2)). Let v = -15 + c. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 1, v: 1, n: 1, b: 1, f: 2}. What is prob of sequence feb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, m: 4, h: 5}. What is prob of sequence hmmm?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011100 (base 2) in base 9?\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - n**3 + 0*n**3 + (-79 - 43 - 10)*(-4*n**3 + n**3 + 5*n**3).\nAnswer: -265*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(((-4)\/(-6))\/(-2)). Suppose u = -4*u + 10. Let p = u + a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 - 4*q**2 + 4*q**2 + (0*q**2 + 4*q**2 - 5*q**2)*(2*q**2 - 4*q**2 + 3*q**2) + (-33 + 115 + 167)*(0*q + 0*q + 2*q**4) - 2*q**4 - 2*q**4 + q**4.\nAnswer: 491*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209633*c**4 + 1734*c**3 - 5111*c - 68779 wrt c?\nAnswer: 2515596*c**2 + 10404*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.65 take away 3148090035?\nAnswer: -3148090036.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m - 1. Let g(w) = -4*w + 19. Let y be g(6). Sort 0, y, m in descending order.\nAnswer: 0, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123203 (base 4) in base 10?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 + 15*j - 12. Suppose -8*g = 6*g - 84. Let o be i(g). Suppose o*n - 7517 = 4321. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85435121*x**3 + 63668927 with respect to x.\nAnswer: -256305363*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73148\/73 - -1002. Suppose 53 = -q + 55. Suppose 4*g - 20 = -4*d, -d = -q*g + g + 3. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2. Let l(z) = 5*z**3 + 6*z**2 - z + 138. Let r(t) = l(t) - 6*u(t). Let k be r(0). What is the units digit of (-24)\/42 + k\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -70 - 0. Let b be 34214\/(-42) - 10\/a. Let f = b + 14621\/18. What is the common denominator of 51\/16 and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6825, -27257, -61315, -109005, -170333?\nAnswer: -245305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14975\/1198*(-4)\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 13. Suppose -r = -5*m - 92. Is m greater than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tety when four letters picked without replacement from {t: 2, x: 2, e: 8, y: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.01299970935 take away -51?\nAnswer: 54.01299970935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32063 (base 8) to base 2.\nAnswer: -11010000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a, -5*a = 2*k + 2*k - 35. Calculate the remainder when k is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/57 in 4, 1\/2, -276, 462?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*h = -5*h + 20, 15 = 4*d - h. Solve 0 = -d*k + 3*p + 5, -k + 4*p = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*a + 138, -5*a + 7*a + n = -92. Let t = 56 + a. Solve -2*o - t = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*x + 9*x = -19, 0 = 5*o - 2*x + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -127*r**4\/24 + r**3 - 3*r**2. Let m be o(-12). Round m to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -245*i - 1734. What is n(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 7*n - 18*n as g + w*n and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 j when three letters picked without replacement from {j: 3, p: 1, u: 6, r: 4, z: 1}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 - 1. Let g(o) = -3*o**3 + o**2 - o + 20. What is 2*c(n) - g(n)?\nAnswer: n**3 + n**2 + n - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 19*n + 70. Let q be b(22). Solve 4*z = q + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -24*h**3 + 3*h**2 + 17*h - 19. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21109 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6821.171 rounded to the nearest 10?\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f = 3*d - 783, -d = 3*f - 275. Calculate the remainder when d is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/2493?\nAnswer: -2\/2493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 5*l - 8. Give s(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4029 + 11680. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 10 = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -50*z + t + 196, -13*z - 11*z - 2 = 13*z - 40*z + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 6*w = -q + 130, 500 = -4*w - q. Let y be (56\/w)\/((-2)\/(-3)). Is 0.36 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -207890*f**6 + 7*f**3 + 211112*f**2 + 41 wrt f.\nAnswer: -24946800*f**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*(-4 + -2). Let w be (d\/(-3))\/(-4)*9. Let m = 107\/2 + -1181\/22. Sort 0.4, w, m.\nAnswer: m, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 8 = 2*l. Suppose -f + 356 = 2*u, -4*u + 710 = 3*f - l*f. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.028 - -12. Let u = 432 - 432.072. Let t = o + u. Which is smaller: -0.5 or t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -549.3 (c) 0 (d) 5 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45512 + -11?\nAnswer: -45523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -9 - -8 - (3 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 1058 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1437 = -y, 5*n = 3*y + 4111 - 546. List the prime factors of n.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1157 + -0.1\nAnswer: -1157.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 4*g + 7 + 2 - 15. Let a(b) = b + 1. Determine -6*a(t) - q(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/5)\/((-1)\/(-1)). Suppose 4*d = 2*p + 8*d - 10079984, 0 = -d - m. Round p to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724.354069 take away 0.5?\nAnswer: 2723.854069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -44*q**3 + 5*q**2 + 21*q. Let s(o) = -9*o**3 + o**2 + 4*o. Suppose 5*z = -9*d + 54, -31*d - 28 = -36*d - 3*z. Give d*s(h) - 2*y(h).\nAnswer: -11*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 18*l**4\/11 + 112700*l**3\/11 + 30720*l**2 - 112700*l\/11 - 337938\/11 = 0.\nAnswer: -56323\/9, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/(((p*p**(-2)*p)\/p)\/p))**(-1\/17) assuming p is positive.\nAnswer: p**(-5\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -79*x + 232. Let g be y(3). Which is the smallest value? (a) 0.5 (b) -17 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2) + (-1 - -4). Suppose 5*d = 3*h + 15, -1 = -3*d + 7*d - 5*h. Let c be 4\/(-2*(-3)\/d). Solve -28 = -c*j + s*p, -3*p + 21 - 48 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/5 - 4392*t**3\/5 + 1611846*t**2\/5 - 3193008*t\/5 - 4809249\/5 = 0. What is t?\nAnswer: -1, 3, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**7\/840 + j**6\/360 - j**5\/120 - 5*j**4\/24 + 5*j**3\/3 + 11. Let w(a) be the third derivative of l(a). What is w(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 15*c - 43 + 38 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**21*(g\/((g*g*g*(((g**8*g)\/g*g)\/g)\/g*g)\/g*g))\/g assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10005000 is divided by 6253.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -76728 at most -76728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1193 + 49 = -22*s. What is the smallest common multiple of 16 and s?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 84 = 3*f + 27, -5*y - f + 175 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1122 divide 10004881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7419.695 centuries in months?\nAnswer: 8903634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*a**4 - 2 + a**2 - 17 + 5 + 1 - 3 wrt a.\nAnswer: 432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/750849 and 45\/88.\nAnswer: 6006792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + sqrt(243) - sqrt(243)) + 1 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 174*o + 355 - 174*o + 8*o**2.\nAnswer: -o**2 + 355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuk when three letters picked without replacement from {k: 4, u: 4, r: 1, y: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from wddhphd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose -2*c + 7*c - 80 = n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 4. Suppose -3*q - 2*h + 35 = 0, -2*q - h + 55 = 2*q. Suppose o + j - q = 0, -o = 4*o - n*j - 75. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 31. Let d(b) = -3*b**3 - b**2 + b + 1. Let w be d(-1). Suppose w = a - 3. Sort -0.2, k, a.\nAnswer: -0.2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84860 * 0.3\nAnswer: 25458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 483?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by 51\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11165 + 11907. Which is the nearest to z? (a) 3 (b) -1\/2 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-15)*r*r**23)**(2\/13))**(-9) assuming r is positive.\nAnswer: r**(-720\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92387 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/60 - u**4\/24 - 13*u**3\/6 - 4*u**2. Suppose t + 4*f - 2 = 0, -2*t + 5*f - 34 = 2*t. Is h(t) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4.4. Suppose 0*k = 2*k - 4. Put -0.4, k, p in increasing order.\nAnswer: -0.4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 557*w - 9452. Let h be a(17). Let j(u) = 5*u**3 - 18*u + 6. Let d(x) = 14*x**3 - 54*x + 17. What is h*j(b) - 6*d(b)?\nAnswer: b**3 + 18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/(-148))\/((189\/(-14))\/(3\/4))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 66.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1365)\/(-14))\/13 + -5*1. Let z(n) be the second derivative of 3\/2*n**2 + i*n**3 + 5*n + n**4 + 0. Factor z(b).\nAnswer: 3*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (-15 - (-16 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/(u**(-2\/9)*u))))\/u)\/(u\/u**(-5)*u) assuming u is positive.\nAnswer: u**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.294 or -3426687?\nAnswer: -3426687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 2\/(-1))*794\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2305*b**2*n**3 + 175*b**2*n**2 - 364*b**2*n - b*n**3 + 3*n**3 - n wrt n?\nAnswer: -13830*b**2 - 6*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/11))\/v*v**13)\/(v**23\/(v*(v\/(v\/((v**19*v*v)\/v))*v*v)\/v)))**(-5\/13) assuming v is positive.\nAnswer: v**(-670\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27632608?\nAnswer: 2, 719, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(204) - sqrt(204)*1*5))\/((sqrt(12) + -1*sqrt(588) + sqrt(588) + sqrt(588))*1).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-53 - ((-7 - (-23 + 13)) + -1 - 9)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 21. Let l be i(6). Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = 2. Let u = -16 + 18. Let k be 35\/(-21)*(u + 1). Which is the closest to t? (a) -0.1 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (10 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61299 and 10269.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:28 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(0*b**5 + b**5 - 2*b**5) + b**5 + 3*b**5 - 2*b**5 + 3*b**5 + 3*b**5 - 5*b**5 + 84*b**5 - 34*b**5 + 51*b**5.\nAnswer: 106*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29522140*i**5 + 17*i**2 - 158*i + 1090387 wrt i.\nAnswer: -590442800*i**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 1, t: 6, l: 2, s: 2}. What is prob of picking 3 t and 1 j?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 2*k - 3*k + (3*k + k - 2*k)*(4 - 2 - 1) + 0*k + 0*k + 2*k + 63 - 21 - 2*k - 11 in the form n + d*k and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.33900607 to two dps.\nAnswer: 4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 7*u**2 + 7*u**2 + (2*u - 3*u**3 - 2*u)*(3 - 3 - 2*u**2) + 2*u**5 - 4*u + 4*u.\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/13, -0.2, -5\/3 in increasing order.\nAnswer: -5\/3, -0.2, 3\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -5*n**2 + 0 + 2\/735*n**7 - 2\/105*n**6 + 0*n + 2\/35*n**5 + 2\/21*n**3 - 2\/21*n**4. Suppose r(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.8612 years in centuries?\nAnswer: 7.668612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 - 2*d**2 - 4*d**2 - 4*d**2 to l + u*d + z*d**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6699631.\nAnswer: 71, 127, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -31.3156*0.3\nAnswer: -9.39468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let p(z) = -3*z**2 - 20*z. Give u(p(y)).\nAnswer: -6*y**2 - 40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16258*j**4 - 4595*j + 307978010 wrt j?\nAnswer: 65032*j**3 - 4595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1010000 (base 2) to base 8\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 35*d + 20. What is the least common multiple of k(17) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181752 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22179774.6255147 - 22181808.749. Let i = x + 2025.79345. Let p = 8.33 + i. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, -5*y + 4*k + 2 = 2*k. Sort -4, y, -5.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44445309211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:06 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 20, 577*n - 574*n = 2*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2)\/(-4)*10. Let q(z) = -2*z**2 - 4*z + 1. Let k be q(-3). Is 8 a factor of (-114)\/l + (-1)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3553.000001017 + -3553. What is p rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 3:40 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10020 (base 3) to base 9\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 14) to base 3.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137765063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/684 and -47\/102.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 3*f**2 - 24*f - 5*f**2.\nAnswer: -6*f**2 - 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62207.2 micrograms in nanograms?\nAnswer: 62207200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2113322121230?\nAnswer: 2113322121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.8, -0.05, 0.5 in increasing order.\nAnswer: -5.8, -0.05, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5994 and 190809?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*d = d - 8, 3*d - 6 = 0. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11230911 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*c - 1429837 = 10389, -3*m = 5*c + 2160336. Let b = m - -4348945\/6. Let t = 4739 - b. What is the common denominator of 107\/10 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24771 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166106876 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 942*v**6 + 6*v**2 - 27*v.\nAnswer: 113040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.7259 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (2 - (-8)\/(-6))\/((-1)\/(-126))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooovoovsoysooovsvv. Give prob of picking 2 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 + 4. Let b be ((4\/(-10))\/(78\/(-65)))\/(-1). Sort b, 6\/5, r in decreasing order.\nAnswer: 6\/5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siosiosisdodoisssdss. What is prob of sequence oo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*q + 6622 + 5361 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 10*o**2 + 8*o + 12. Give z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319273, 638566, 957869, 1277188, 1596529, 1915898, 2235301, 2554744?\nAnswer: 2874233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -114619 times -0.1?\nAnswer: 11461.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m - 18. Let z be g(-2). Solve -2*f = -z*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 2\/9, 0.1, -819, 73?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*c + 17*c = -10597994. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139999241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2935629*d. Let v(j) = 2*j**2. Calculate s(v(r)).\nAnswer: 5871258*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 21 = -5*h - 3, 5*v = 60*h - 34*h - 30*h + 27 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 22 in decreasing order.\nAnswer: 22, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 38 - 4 - -20 - -12.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5*q**3 - 3*q + 3*q - 3*q + 3*q - q**3 + (0*q**2 + 2*q**3 + 0*q**2)*(2 + 0 + 0).\nAnswer: 8*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66744 (base 8) to base 5.\nAnswer: 1400012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*4*(5*-1*sqrt(99) + -4 - (-4 + (sqrt(99)*-1)**2 - (2 + (0 + sqrt(99))**2 - sqrt(99)))).\nAnswer: -80 + 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -109. Suppose 5*d + b = 6*d. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(2 - 2*u - 2) + 2*u + 7*u - 4*u - 3 - 2*u + 3 + 2.\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from {g: 9, m: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52, -189209 in ascending order.\nAnswer: -189209, -52, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2*j**2 - j**2)*(6*j - 4*j - j)*(j - 1 + 1)*(-5166 + 10169 + 5018).\nAnswer: -20042*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173*f**2 - 465*f**5 + 751*f**5 - 2282*f**5 + 555*f**2 wrt f?\nAnswer: -119760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -41, -3.2, -5, -5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -303330 (base 4) to base 7\nAnswer: -12456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118286918?\nAnswer: 2, 17, 3479027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-3)\/45). Let u(y) = -y + 2. Let f be u(w). Let t be (f + 2)*-470*-1. What is t rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 + d?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3819333 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 1109, 1709, 2321, 2951, 3605, 4289?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 + 290 - -2*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -87213990452368.\nAnswer: 87213990452366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + (-7 - -8) + -2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n + 205. What is the remainder when z(-6) is divided by (-5 + 3)\/(4\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/19 - 104*p**2\/19 + 1352*p\/19.\nAnswer: 2*p*(p - 26)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 21?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 320*z + 735. Let o be w(-2). Calculate the greatest common divisor of o and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 1, c: 2, f: 5, y: 7, k: 4}. What is prob of sequence cka?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdss when four letters picked without replacement from {s: 4, d: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3 + 43*u - 4 + 1 - 41*u. Let b = 0 - -2. Let y(q) = 8*q - b*q - q. Calculate y(p(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 89\/2 of a century?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 4*l + 1. Suppose v + 12 = 5*v. Let u be r(v). Let h = 4 - u. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-306)\/34)\/36)\/(1\/((-88)\/(-10)))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 2*r**2 + 7*r. Let n(g) = g**3 + g**2 - 3*g. Let y be (-14)\/49 + (-46)\/(-14). Suppose -18 = -5*h + 17. Give h*n(z) + y*c(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252.804 + 0.396. Let r = l - 253. Which is the second biggest value? (a) 0.08 (b) r (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243338452.\nAnswer: 2, 7, 8690659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -258*f - 3736. Calculate x(-15).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(180)*-5 - sqrt(180) - sqrt(180)) + sqrt(180))\/sqrt(12) + sqrt(15))\/((5*sqrt(108) - sqrt(108) - sqrt(108)) + sqrt(3)).\nAnswer: -1 - 5*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*(-4)\/15 + -4*184\/480?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 9. Let h(p) = -15*p - 4. What is a(r) + h(r)?\nAnswer: -16*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56416 and 7?\nAnswer: 394912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {f: 6, l: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3682 less than 2082.768293?\nAnswer: -1599.231707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k + 0*k**3 - 14553 + 179*k**5 + 14433 + 0*k**3 + k wrt k?\nAnswer: 3580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 - 284.01576. Let t = i + 0.018. What is t rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**3 - 32*q**3 + 59*q**3 - 22*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1322927477 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 161, 6, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*x = 3*y - 3, x = -3*y - 6. Let v be 4*(150\/8 + y). Let w = v + 26. What are the prime factors of w?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61929, 123858, 185787?\n\"Answer: 61929*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = d - 2*w, -15 = -2*d - 5*w. What is the smallest common multiple of 30 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 4, -0.4, -0.2, -3\/4 in decreasing order.\nAnswer: 4, 0.05, -0.2, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*q + 179 - 672 = 1259 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**3 + 6*z**3 + 3*z**3)*(-4 + 2 - 1) - 14233*z - 308*z**3 + 14233*z to o*z + f + s*z**2 + b*z**3 and give b.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 96 = 3*k, -64 - 15 = 2*g + 3*k. Let m = g - -71. Differentiate 104 - 7*n**4 - 119 + m*n**4 with respect to n.\nAnswer: 116*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.88 - 32.88. Let p = -7.18 + -0.32. Let t = p + 8. Which is the third smallest value? (a) -5\/2 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = -2*i. Which is bigger: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -12 + (6 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a century in months?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -8.071336.\nAnswer: 5.071336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l + 24. Let b be s(5). Is 11\/(b\/573)*4\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/23 - -1\/92. Let y = 4.935 + 0.065. Which is the nearest to y? (a) 0 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + v + 0*v - 10*v + v + 5*v + (v - 3*v + 11*v)*(4 - 3 + 0) in the form w + d*v and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/5 + 868*u\/5 + 6816\/5 = 0. Calculate u.\nAnswer: -426, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -363*r**2 + 462*r - 147 = 0.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526387 is divided by 309.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106134, 106120, 106102, 106080?\n\"Answer: -2*p**2 - 8*p + 106144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**8\/1440 - 19*d**7\/3780 - d**6\/135 + d**5\/45 - d**4\/12 - 2*d**2. Let o(a) be the second derivative of m(a). Factor o(i).\nAnswer: -2*(i + 1)*(i + 2)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8139 - -8159. Solve 0 = l - 5*g - 19, 4*g = 8*l - 6*l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7261733 and 2794?\nAnswer: 159758126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 79134987\/47067498 - 4\/24. Let v = -2\/25387 + h. Find the common denominator of 8\/9 and v.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 3 - 10. Let h be 18*n - 4\/1. Suppose -5*l - h = -54. Calculate the least common multiple of 22 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -109. Calculate the lowest common multiple of j and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(18)))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*q, 4*c = -c - 3*q - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*x + 4, -10 = -n - 3*x. Find the second derivative of 2*c - 2*c**4 + c**4 - n*c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 10}. What is prob of sequence ff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-168)\/(-20))\/(1\/10). Let l = d - 11. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72229976*t**3*w**3 - 12*t**3*w**2 - 331*t**3*w + 11*t**2 + t - 2*w + 5 wrt w?\nAnswer: -433379856*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 821*v - 6546. Calculate o(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 7}. What is prob of picking 1 j and 1 u?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20212499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7*c**4 - 2*c - c**2 - 2 - 9*c**4 - 9*c**3 to n*c**2 + k*c**3 + g*c + h + j*c**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*h**6*s + h**4*s - 845*h**3 - h**2*s + 5*h**2 - h*s + 502*h wrt h?\nAnswer: 1320*h**3*s + 24*h*s - 5070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*a**2 - 40 + 15 + 364*a**2 + 25 + 180*a - 721*a**2.\nAnswer: a**2 + 180*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 7 = 14*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -637632, -4, -2\/9 in descending order.\nAnswer: -2\/9, -0.4, -4, -637632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -726 + 3317. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 472637374?\nAnswer: -472637374.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r - 5*r. Let v be ((-8)\/4)\/(4*r\/(-2)). Solve 3 + v = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (447\/120 - 4) + 13\/(-104). Put 5, w, -3 in increasing order.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45811791*u**3 + 117906723.\nAnswer: 137435373*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(2\/5)*u*((u**(4\/9)*u)\/u)\/u*u**(-10)\/(u**(-13\/4)\/u) assuming u is positive.\nAnswer: u**(-523\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43240 + 12432044?\nAnswer: 12333304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 + -31. Suppose 197 - g = 7*y. Let m = y + 22. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1))**(3\/2)\/(i\/(i\/(i\/(i\/(i\/(((i*i**(1\/5)*i)\/i)\/i)))))*i**6) assuming i is positive.\nAnswer: i**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -2)\/((-2)\/(-2) + 0). Sort 4, 5, x, 2 in ascending order.\nAnswer: x, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.1617 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5628 and 18413409?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50188\/9 - -5567. Let n = k - -28\/3. What is the common denominator of n and -22\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054182 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46860487.\nAnswer: 46860487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*i - 61*i - 68*i - 2 + 2.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5100)\/(-90) - 57)\/((-11)\/(-3))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 35*z + 177. Let j be t(6). Which is the fourth smallest value? (a) -5 (b) -3 (c) 0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -9*o + 4*o. Let r = o + 9. Suppose 0*q + 2 = q. Calculate the lowest common multiple of r and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 8. Suppose -q = b - 4*b. Suppose -b = -4*d + 3*d. Sort -5, d, -1.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.1\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a - 126*k - 189 = -128*k + 101, -k - 18 = 2*a + k for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -131528.32 to the nearest 100.\nAnswer: -131500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 511\/(-126))*(-3078)\/(-10602).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053391 is divided by 1035.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 1 - 5 + 4 - 21*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*j**3 + 339*j**3 - 3 - j - 162*j**3 to d*j**3 + q*j + g*j**2 + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/8 + 7*n**5\/15 - 11*n**4\/24 - n**3\/3 + 250*n**2 - n. Let s(m) = 0. What is m?\nAnswer: -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/36 - 168\/(-27))\/2. Suppose -m*w - 72 = -4*s + w, 0 = -4*s + 3*w + 74. Calculate the smallest common multiple of 2 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, -3, -551, 183 in descending order.\nAnswer: 183, 21, 3, -3, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 257*n**2 - 539*n. Let r(k) = 128*k**2 - 270*k. Let o(q) = 3*i(q) - 5*r(q). Find the second derivative of o(p) wrt p.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 2, g: 1, i: 1, d: 2}. Give prob of picking 1 g, 1 d, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**8\/840 - x**4\/8 + x**3\/3 + 2. Let i(c) be the third derivative of n(c). What is the first derivative of i(t) wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seaelelmzzz. What is prob of picking 2 z, 1 e, and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-4 - -4) - -330 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 62*s**2 - 26*s + 1. Suppose 5*b = -4*d - 3, 4*d - 3*b + 3 = -8. What is the tens digit of l(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 1\/4 (b) 3\/4 (c) 28 (d) 40 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -177. Let i = 564\/5 + d. Sort 1, -1\/2, i in ascending order.\nAnswer: -1\/2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31437+160\nAnswer: 160.31437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, 194\/11, -2, -4, 4, 2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3241 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -106.237634652632\nAnswer: 105.237634652632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.295 + -0.005. Let n = 5.4 - 0.4. Let o = n + -10. Put o, -2\/11, a in ascending order.\nAnswer: o, a, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.243 * -5\nAnswer: 1.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t - 4*t**2 + 4*t**2 + 3*t**2.\nAnswer: 3*t**2 + 36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 186 = -0*o. Let j = o - 0. Calculate the remainder when 153 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - m = 3*f, -5*f = m. Let c be 12\/((84\/8)\/7). Suppose 2*g - 2*j = 0, -3*g - j = 12 + c. Sort g, f, 1.\nAnswer: g, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001111 - 100?\nAnswer: 110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6467468m?\nAnswer: 646746800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 8964367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486 and 22645278?\nAnswer: 203807502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17441 + 26415. Suppose u = 7*b - 1778. Is 34 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d + 50 = 0. Solve 0 = -5*m + d, 0 = -4*t + m + 2*m - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 5248852*s**2\/5 - 15746538*s\/5.\nAnswer: -2*s*(s + 3)*(s + 2624423)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b - 766. Let z be v(36). Is -164 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2. Let d(r) = -r. Let h(s) = 4*d(s) - q(s). What is the units digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -41*x - 5. Calculate i(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2. Let a(c) = 201*c - 201*c + 25*c**2. Give d(a(h)).\nAnswer: -3750*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.223 - 0.153. Let o be -1*((-5)\/20 + 84\/16). Which is the second smallest value? (a) 2 (b) r (c) o (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93502 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*l**4 + 14*l**3 + 5252 with respect to l.\nAnswer: -808*l**3 + 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 0*o)*(3*o**3 - 5*o**3 + 0*o**3) + 18*o**4 + 23*o**4 - 37*o**4.\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 1, g: 5, u: 2, k: 2}. What is prob of picking 1 g and 2 k?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/5 + 2*d**4\/3 + 2*d**3\/3 + 29*d. Suppose x(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1370883080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.432 - 33.432. Which is the second smallest value? (a) h (b) 3 (c) -442\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1018 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592 + 614 = 11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*z**4 - 60*z**3 + 22*z**2 + 24*z - 8.\nAnswer: -2*(z + 1)**2*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 4. Suppose -1 = 3*j + 5*c + 6, 2*j + 11 = 3*c. Let a(o) be the third derivative of o**4\/24 + 5*o**3\/6 - 34*o**2 - 1. Calculate j*a(f) - 5*s(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19901249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -18. Let m = 1123 + -1106. What is the remainder when m is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.55 + 0.35. Which is the third smallest value? (a) 0.1 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1538\/3 + (-45)\/(-54) + (-2 - -3). Which is smaller: 515 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2313 - -2342. Solve -11*o + m = 40 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -69*-3*3\/27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-16))\/(35\/168). Solve 3*y - 10 = 5*s, -4*s - a = -4*y + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*w**3 - 3*w**3 + 9*w**3 + (5 + w - 5)*(-3*w + 3*w + w**2) in the form p*w + o + h*w**3 + g*w**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.12 and 17022.3341.\nAnswer: 17024.4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 435789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 21*s = 0. Solve 2\/5*v**3 + s + 0*v + 0*v**2 + 2\/5*v**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 33. Suppose 0*b + 26689 = 4*u + 3*b, -4*u + o*b + 26719 = 0. Let k = 40151\/6 - u. Find the common denominator of 59\/3 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47\/4 of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*l + 1, 0*t - 4*t + 2 = 5*l. Let g(h) = -h**2 - 5*h + 4. What is the smallest common multiple of g(-5) and (2 - 1)*4 + t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 8. Let q be t(-4). Suppose -f - q*f = -10. Let h = -0.8 - 0.2. Which is the smallest value? (a) -4\/7 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4446\/260)\/(-57) - (-201)\/(-30) - (0 - 64)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6570*h**2 + 2*h + 597 - 13154*h**2 + 6583*h**2 in the form u*h**2 + n + c*h and give n.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (83512\/(-156))\/73*(-342)\/19?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**2 - v**2 + 89*v**3 + 105 + 122 - v**2 - 76*v**3 with respect to v.\nAnswer: 39*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 - 1 = 0. Let g = 1 + h. Suppose 5*a + 0*a - 2 = 4*n, g = 5*a - n - 8. Do -0.1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 + 1 = 0. Let m(a) = -3*a**2 + 7*a - 4. Let y be m(c). Solve 0*v + 3*x + 9 = -3*v, y = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4487 + 117?\nAnswer: -4370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (81\/(-24) - ((-570)\/80)\/19). Let a(p) = -16*p**3 - 2*p**2 + 2*p. Let f(q) = 17*q**3 + 3*q**2 - 3*q. Give i*f(h) + 3*a(h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*v - 3*m + 5, -2*v - 3*m = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*f**2 + 38318*d + 15511*f**2 - f - 13 wrt d.\nAnswer: -2*f**2 + 38318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 4*o**2 - 14*o + 15. Let u be d(6). Solve u*l - 8*l - 5 = -5*a, -2*a = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -1 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 - -6.9. What is the closest to -2\/7 in t, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 11645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198811\/31890 + -1\/1063. What is the common denominator of 50\/2259 and u?\nAnswer: 22590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -541 (b) -0.5 (c) -0.2 (d) 17.25 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-18)\/(-40)) + -3. Let y = k + -11. Solve b = -b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*a = 178, -321 = -5*t - 2*a - 123. What is the least common multiple of t and (-1 - (-7)\/5)*(118 + -103)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-9 + 1784) - 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -127, -375, -857, -1651, -2835, -4487?\n\"Answer: -13*w**3 - w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 6*j**2 - 7*j**2 - 2*j**2 - j**2 + 1018 in the form r + l*j + b*j**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-798)\/1463)\/(3\/(-22)). Put 2, y, -10, 7, -4 in decreasing order.\nAnswer: 7, y, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p**2 - p)*(-188 - 202 + 322)*(-4*p - 2*p + 4*p)*(-25 - 25 + 45).\nAnswer: 680*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975564515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p**3 - 5*p**2 + 12*p - 4. Let l(c) = 25*c**3 - 8*c**2 + 18*c - 6. Give 5*l(o) - 8*v(o).\nAnswer: -11*o**3 - 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240330111.\nAnswer: 3, 7, 131, 199, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 7*b = -42. What is the units digit of (-3 - b\/10)\/(3\/(-90))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2162722445 and 0.3049.\nAnswer: -2162722444.6951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68) + (sqrt(17) - (1 + sqrt(17)))*-1)*-1)**2.\nAnswer: 4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 7*k**2 - 8*k + 4. Let l be p(8). Let i = l - 2. Suppose 4*a + a - 25 = 0. Solve i*o = -b - 7, -3 - a = o + 5*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:22 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -599 not equal to -590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 120, 0.4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 736 + -728. What is the least common multiple of p and (24\/28)\/((-2)\/(-42))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109\/45 - -6544\/2745. What is the common denominator of z and -139\/24?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-78)*7\/14\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*q = -612*q + 49. Suppose 0 = 2*l - l - 1. Let z(y) = -3 + y + 1 - 1 + l. Calculate z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/3)\/r)\/r)\/(r\/(r\/((r\/(r**42\/r))\/r))*r*r))\/(r**(-3\/37)*r*r**(-6)) assuming r is positive.\nAnswer: r**(4708\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 - -63.21. Let x = i + -65. Sort 3\/5, 1\/3, 1, x in decreasing order.\nAnswer: 1, 3\/5, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + -1))**2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/((-12)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319903 - 319838. Find n such that 0 + 845\/2*n + i*n**2 + 5\/2*n**3 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -677, -1056, -1495, -2012?\nAnswer: -2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2742 = -2*x, 8*u - 851 = -2*x + 4615. What is the greatest common divisor of 4275 and u?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -3*j + 4*f, -3*f - 14 = -4*j. Suppose -4*n = -2*n - 5*c - 12, 0 = -2*n - j*c - 28. What is the second smallest value in n, 0, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*g + g. Suppose 2*v - v = 4*q - 185, -g*q + 250 = 5*v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (158\/1027)\/((-432)\/(-56862)).\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.96 - -13. What is the nearest to -1\/2 in -5, -1\/9, y?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3130562 (base 7) to base 11\nAnswer: -238481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042935378 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -9a?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592584*w = -592196*w - 24444 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13*o - 8*o + 29 = 0, 0 = -4*b + 3*o + 35. Let v be 3\/2*b\/((-297)\/(-90)). Calculate the greatest common factor of v and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -3*b**4\/8 - 41*b**3\/6 - 62*b**2 - 25. Let g(t) = -t**2. Calculate g(y(v)).\nAnswer: -81*v**2 - 738*v - 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 45*d = 50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 2, -2, 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*p + 606485 = -130*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:54 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*t + 16, -3*t + 10 - 16 = 0. Solve -h + 12 = -i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061811 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/64398 and 52\/203927.\nAnswer: 1223562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 2)*(-3*j + 4*j - 3*j) + 3*j - 5*j + 3*j)*(5*j + 1 + 3*j - 6*j).\nAnswer: 14*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 2. Differentiate -2*v**2 - y*v**4 + 2*v**2 - 2 + 3*v**4 with respect to v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w - 3*d + d, -5*w - d = -30. Let m(q) = -2*q. Let v(x) = x. Calculate w*m(j) + 15*v(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(378) - (-2*sqrt(378) - sqrt(378))))\/(-2*sqrt(384)) + 2.\nAnswer: 2 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.9484 years in decades?\nAnswer: 36.59484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-13174159239108\nAnswer: -13174159239108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276*d**5 - 1189*d - 4133*d + 439*d**5 + 3939*d**5 wrt d.\nAnswer: 82040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559464, -559462, -559460, -559458?\nAnswer: -559456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 0*z + 3*z)*(-2 + 0 + 0) + 0*z + z + 4*z - 3*z - 3*z + 5*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 29*z + 38*z - 2)*(-3 + 3 - 12*z**2) to the form c + v*z**2 + r*z**3 + i*z and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 3*z**4\/4 - z**2 - 16*z. Let t(a) = 37*a**2 - 9. Let b(m) = 9*n(m) - 2*t(m). Let g(f) = -5*f. Give b(g(x)).\nAnswer: 175*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -15*c + 5*z, -3*c + 11*z - 17*z + 22 + 11 = -9*z - 2*z for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. What is the third derivative of -2*o**5 + 2*o**4 - o**2 - d*o**4 + 3*o**2 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0*g + 0*g - g. Let t(b) = 0*b + 2*b + 3*b - 4*b. Let j(i) = 10*i. Let h(n) = -6*j(n) + 55*t(n). What is h(r(o))?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.04, -1970, 2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.2 - 7. Let l = -3.8 - j. Suppose -5*u = -0 - 5. What is the second biggest value in -0.5, l, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12117.6*-2\nAnswer: -24235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Let x be 0 - -2 - (-1 + z). Find the third derivative of 2*m**3 + x*m**3 - 6*m**3 + m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let k be u(4). Suppose i + 1 = 0, 5*s - 9 = k*i - 4. Solve s = q + 3, 17 = -m + 2*m - 5*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -45 + 28 - (-1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3 - (-11)\/3). Suppose 2*v + z + 11 = 0. Is 3 a factor of (6 + v)\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from iiiaialaalilmiimzl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/((u*u**(1\/3)*u)\/u))\/(u*u**0)**(-24) assuming u is positive.\nAnswer: u**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 7*r + 8. Let j be x(1). Suppose 2*c - 5*p = -95, 6*p - j*p + 10 = 0. Let l be c\/((-18596)\/6200 + 3). Round l to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 771582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -26, -39, -52, -65, -78?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*sqrt(204)*-2 + sqrt(204))\/(sqrt(48)*-5 - sqrt(12)))**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1444 - 7208\/5. Let v(a) be the first derivative of 0*a + 0*a**2 + 5\/3*a**3 - j*a**5 + 0*a**4 - 13. What is the third derivative of v(w) wrt w?\nAnswer: -288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2339 - 408 - 1047)*(-2*f**3 - 1 + 1).\nAnswer: 7588*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 13)*(12*l**3 + 17*l**3 - 7*l**3).\nAnswer: -264*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107577.5 rounded to the nearest one thousand?\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*q + 103*q = 11. Let m(o) = 40*o + 1. Give m(q).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300 or -211?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/8 + 5*z**3\/3 + 6*z**2. Is j(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7 (b) 1 (c) 4 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Let z = 5 - 3. Which is the closest to 0.1? (a) p (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 55 - (-5 - -20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47097.\nAnswer: 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/300 - n**5\/50 - 3*n**4\/20 - n**3\/3 - 13*n**2. Factor o(z).\nAnswer: 2*(z - 5)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -0.23. Let h = -2.8 + -0.2. Which is the second biggest value? (a) -2\/9 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.38 + -0.5. Let d = -103 - -102.38. Let o = m - d. Sort o, -1\/3, -0.6, -1\/5 in decreasing order.\nAnswer: o, -1\/5, -1\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 3 + (4 - 2 + 0)*(5 - 4 - 2))*(-10*w + 5*w + 7*w) to i*w + p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 8:58 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/(m\/((m\/(m**(-3\/5)*m))\/m*m*m))*m**(-1\/3)*m*m**(-1\/3) assuming m is positive.\nAnswer: m**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 2013545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -951.3 (b) -4 (c) -2\/13 (d) 1\/5 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(4 + (-646)\/153).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/5 - 2244*d**2\/5 - 84816*d - 1660608\/5.\nAnswer: -3*(d + 4)*(d + 372)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552170543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and -24942.\nAnswer: -24942.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -187632, -2\/11, -2\/19, 4\/9, 6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*x + 14 = 0, -r + 579 - 575 = 4*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940 and 7345912.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*j**2*u**2 - 901*g*j**2 - 16*g*j - 26*g*w - 20149*j**2*u**2*w + 5 wrt w.\nAnswer: -26*g - 20149*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13250 times -0.2\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 24. Determine g(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*-4*3*(sqrt(1900) + -1 + sqrt(1900) + -4 + (sqrt(1900)*2 + sqrt(1900))*-4))**2.\nAnswer: 10800000*sqrt(19) + 2052270000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 + -59. Suppose 4*l - 360 - a = 0. What is the greatest common divisor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -0.69. Let v = 0.6 - s. Let w = 6.8 - 1.8. Put -1\/3, w, v in ascending order.\nAnswer: -1\/3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 65?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6148192*n = 6148208*n - 224 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + 1 - (28 - 20) - -29).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1185, 2390, 3595, 4800, 6005?\n\"Answer: 1205*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 3. Suppose 0 = -4*j - 5*f + f - 28, j + 5*f + 19 = 0. Determine m(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 273. Does 13 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -526 - -564. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/((-9)\/720*20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zss when three letters picked without replacement from sszsssssszsssszszss?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-24)*128\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9403 + -14335. Let g be ((-2)\/6)\/((-12)\/y). Let f = g + 269\/2. Which is the nearest to 1? (a) f (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -1100100101011001110011110?\nAnswer: 1100100101011001110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.49819 centuries in millennia?\nAnswer: 6.549819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 2. Let y be j(0). Let g(d) = d**2 + 2*d + 3. Let t be g(y). Find the second derivative of m - m**t + 0*m**3 + 4*m**3 wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwmwwwwwwwwwwwwww. Give prob of sequence wwwm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13298042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**7\/70 - t**4\/12 + 3*t**2\/2 - 3*t. Let h(x) be the first derivative of p(x). Find the second derivative of h(q) wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7542)\/(-180) - 42)*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 3126*h**2 + 8 + 0.\nAnswer: -3126*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36422664*d**4*m**2*y - 8259453*m**2*y - m**2 wrt d?\nAnswer: 145690656*d**3*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 0.02210866639762.\nAnswer: -3.97789133360238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26707716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1364 = 4*f, -3436 = 77*h - 82*h + 3*f. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i + 8. What is the units digit of h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 480. What is the remainder when v is divided by 55\/35*((7 - -4) + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 4, f: 13}. What is prob of picking 2 x?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259 + 274. Calculate the remainder when 103 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1604625, 3209152, 4813679, 6418206?\nAnswer: 8022733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.108913\nAnswer: 0.0326739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35779 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 + 4*w**2 - 5*w - 2. Let p(k) = -8*k**3 + 4*k**2 - 6*k - 2. Let c(y) = 3*n(y) - 4*p(y). List the prime factors of c(4).\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14268 - 14265. Let n(r) be the first derivative of 3\/4*r**4 + 3*r**2 - 35 - c*r**3 + 0*r. Factor n(t).\nAnswer: 3*t*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (303\/202)\/(-12*(-6)\/(-696)*-1).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -95.8. Let w = 782\/7 - 112. Which is the third biggest value? (a) s (b) -2\/3 (c) w (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/35*(-72)\/(-132)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 + 19*s - 18. Let z(g) = -2*g**2 + 9*g - 8. Determine 4*w(a) - 9*z(a).\nAnswer: 2*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**3 - 288 + 5*v + 3*v**2 + 634 - 360 - 3*v**2 in the form s + a*v + o*v**2 + b*v**3 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylyl when four letters picked without replacement from llyyyyyylyyylyyyyly?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7105, -14208, -21311, -28414, -35517, -42620?\n\"Answer: -7103*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -13.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10095 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -803.37825 rounded to the nearest integer?\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*10\/(-4) - 0. Suppose 10 = 5*i - l. Suppose 5*b = -15, 0 = o - i*b - 7 - 2. Is 0 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 + 4)*(2 - d**4 - d**5 + d**4).\nAnswer: 7*d**5 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100c + 3?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -219, -261, -339, -459, -627, -849, -1131, -1479?\n\"Answer: -z**3 - 12*z**2 + z - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -640, 347, 5, 6 in decreasing order.\nAnswer: 347, 6, 5, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 592261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:17 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 32*y - 27. Let o be k(-33). Calculate the greatest common divisor of o and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g + 2. Let j(p) = -13*p**2 + 6*p + 8. Calculate j(s) - 6*v(s).\nAnswer: -19*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 27133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20715 - 18449. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 220479 from -16.\nAnswer: -220495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 59. Let p = 387 + -191. Suppose 3*i + k = -0*k + p, -k = -i + f. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 792.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69517 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfsc when four letters picked without replacement from {f: 3, p: 1, n: 5, s: 3, c: 1, k: 5}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ededeydhyeelglddded. What is prob of sequence deyg?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89\/17 or 6?\nAnswer: 89\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -8, 2, -35, -3 in descending order.\nAnswer: 26, 2, -3, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**2 + 4*f**5 - 16*f**2 + (f**4 - 3*f**4 + 0*f**4)*(f + f + 0*f) + 4*f**5 + 0*f**5 - 3*f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*c - 6 + 4 - 5 - 226*c as p*c + j and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 + 4*z + 9. Let m be f(5). Suppose -4 = 3*r - m*r. Suppose -181 = -q + p, -2*p = r*q - q - 533. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-75))\/((-6)\/20*7\/((-343)\/6468)).\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 417032, 417023, 417008, 416987, 416960?\n\"Answer: -3*u**2 + 417035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*m - 3712*m + 259464 = 271*m for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = 4764*f - 4784*f - 1805 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78116598 is divided by 26038836?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -45*z - 1000 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 6*m - 8. Let t be w(7). Let z be 2*t*(-6)\/(-3). List the prime factors of 2\/3*(-66)\/z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 83*d**2 + d + 361. Let o(g) = -g**3 - 2*g**2 + g. Let w(j) = -m(j) + o(j). Differentiate w(z) with respect to z.\nAnswer: -6*z**2 + 162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 6, -15322.\nAnswer: -15322, -5, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**30*(c*c**(1\/3)*c)**(-1\/62))**(-2\/41) assuming c is positive.\nAnswer: c**(5587\/3813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((72 - -6) + (-1 - 21) - (-11 - 0)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t)**(8\/9)\/((t*t**(-6\/7)\/t)\/t*t\/(t**(-1\/4)*t)*t)*(t*t*t**(-1\/3)*t*t*t**(-5\/2)*t)**(7\/6) assuming t is positive.\nAnswer: t**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23311\/6 - -3897. Let w = -1024 - -100351\/98. Let c = 713\/2646 + w. What is the common denominator of c and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39202 = 755*r + 1551*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 21. Is -3\/4 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16952 - -24167. Let p(j) = 621*j + 2. Let v be p(-8). Let r = v + z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8431062 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 4 - 13*x - 165*x + 116*x**4 - 4 wrt x.\nAnswer: 1392*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(425))**2 + sqrt(425) + 5 - (-5 + sqrt(425)*-2))*-3.\nAnswer: -5130 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 140 = 37*w. Calculate the lowest common multiple of 80 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 5*a**2 + 3*a - 4. Calculate v(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448120573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -13*y + 16*y. Suppose y*r = 5*r - 336. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 440471*u. Let z(h) = 4*h**2. Calculate s(z(t)).\nAnswer: 1761884*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33485 times -3041?\nAnswer: 101827885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) -2\/13 (b) 0.08 (c) 11 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 27*v - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdddqqqqdddqdqqqddd. Give prob of picking 1 q and 3 d.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x + 1. Let h(v) = -4*v**2 - 2*v + 3. Determine -2*a(r) - h(r).\nAnswer: 2*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2243, 0 in decreasing order.\nAnswer: 4, 0, -2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 13*x - 7*x. Let h = -81 + 569\/7. Which is the third smallest value? (a) 4 (b) x (c) -0.2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 4, t: 3, u: 4}. What is prob of sequence mut?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 8*t**2 + 2*t - 15. Let m(s) be the third derivative of -7*s**4\/24 - 2*s**3 + 40*s**2. What is the least common multiple of u(-7) and m(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80) + 3 - (-1 + sqrt(80))*6)**2.\nAnswer: -400*sqrt(5) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**2 + w + 7. Let c(f) = 15*f**2 - 2*f - 15. Let r(o) = 6*c(o) + 13*s(o). Let y(d) = 10 - 4 - 5*d**2 + 0 + 6*d. Determine 6*r(i) - y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9344090 divided by -5\nAnswer: 1868818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -162*m**4 - 141*m + 1. Let y(l) = l**3 - l + 1. Let b(i) = -k(i) + y(i). What is the second derivative of b(a) wrt a?\nAnswer: 1944*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23 + -17 - 19696\/(-4) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c = 226*c + 16*c + 109*c - 15390 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10921, -10993, -11113, -11281?\nAnswer: -11497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbgb when four letters picked without replacement from {c: 1, h: 9, k: 2, b: 3, g: 2}.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 3. Let s(v) = -6*v**2 - 14*v + 17. Let w(k) = -11*p(k) - 2*s(k). What is w(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2747*u**4 + 16*u**2 - 2603884 wrt u?\nAnswer: -10988*u**3 + 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -816, -2054, -3780, -5988, -8672, -11826?\nAnswer: -15444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 506\/46 - (3 - 6\/(-1)). Suppose -2*k + 11 = -33. Solve 4*s = -c + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 - 39*b**2 + 38*b + 64. Let x(o) = -o**3 + 13*o**2 - 13*o - 21. Let j(k) = -3*s(k) - 8*x(k). Let l be j(12). Solve l - 3 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**2 + u**2)*(-2 + 3 - 19*u + 0 + (-2 - 1 + 0)*(10 + 15 - 5)*(0*u + u + u)).\nAnswer: -139*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 3, k: 1}. Give prob of picking 1 c, 1 k, and 2 d.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85.28 - -86. Let k = 1.72 - d. What is the second biggest value in k, 2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(300) + 2*sqrt(300))*-2 + 4 + (sqrt(300)*2 - sqrt(300)) + (-4 + sqrt(300) + (1 + sqrt(300))**2 + sqrt(300))*2.\nAnswer: 30*sqrt(3) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -3*m**2\/2 - 63*m + 4. Let o(l) = l**3 + 2. Determine -2*o(a) - 3*t(a).\nAnswer: -2*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u - 21*u - 188 - 68 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/1767*-18*(-8)\/8.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-45)\/(-20)))\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106626 + -51870. What is the ten thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(18\/(-3))\/(-3)*1496\/187.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.3 (b) 5 (c) -52.4 (d) 769 (e) -1\/5 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3255217 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -0.3.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-5))\/(-6*(-1)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(105\/7725)*(1716\/(-130) - -13).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -169511 and -0.3.\nAnswer: 50853.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/6 + 827662*t**4\/3 - 152227549425*t**3 + 27998350542776250*t**2 + 55997005541203125*t\/2 = 0?\nAnswer: -1, 0, 551775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83066046 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26059026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -77*v + 13*v + 756772. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 66*v - 53. Let c be 2 + 4 - ((5 - 4) + -4). What is the hundreds digit of g(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from pppnppurppur?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -228, -2\/7, -35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 49. Suppose 24*r - 18*r - 6978 = k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 2*k + 4)*(-5*k**3 - k**3 + 2*k**3) + 2*k**4 - k**4 - 2*k**4.\nAnswer: -9*k**4 + 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 917833401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 12*x + 3*x)*(1 + 1 + 6).\nAnswer: -128*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 4. Let f(d) = -7*d - 10. Suppose -2 = -y - 0. Let u(w) = -21 - 11*w + 0*w - y*w. Let c(j) = -5*f(j) + 3*u(j). What is 2*c(l) + 7*v(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 73*s - 50. What are the prime factors of z(26)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/13 + 2904*c\/13 + 9370026\/13 = 0. What is c?\nAnswer: -1557, 3009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/21)\/(1*2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*o + 62779 = -1065*o - 55931 for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.931576 litres?\nAnswer: 1931.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396762977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12474414 + 19485502 = 4*j. Let s = 4819979 - j. What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -290 + 7829\/27. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*g - 23*g + 28*g)*(2 - 4 + 1) + 4 - g - 4 - 4*g + 2*g - 2*g to h*g + b and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*w, -142*a + 140*a - 5*w + 4092 = 0. What are the prime factors of a?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-10)\/(l**0*l**(-3)*l) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45063132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 11*w - t - 21 = 0, -t = 6*w + 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580 and 14.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*z - 25 = 0, 5*b + 0*b = -4*z - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 26. Let f = -0.96 + -0.04. Is n at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -16067?\nAnswer: 2\/16067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.535 times -2.2?\nAnswer: 504.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -16\/11, -14, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1706255 * -10.\nAnswer: 17062550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 182*x + 134. What is the units digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9300, 13578, 17860, 22146?\nAnswer: 26436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:39 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 12*f**2 + 66*f - 70. Give z(9).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6)*(1 - -1). Let z(i) = 2*i + 3. Let y = -55 - -59. Let f(a) = -7. Let r(g) = -9. Let o(u) = y*r(u) - 5*f(u). What is s*z(d) - 4*o(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 46 + 129 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 77*n**2 + 300*n - 108.\nAnswer: (n - 9)*(n - 6)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -135*q**5 + q**4 + 191*q**2 + q. Let k(g) = -2*g**5 - g**4 - g**2. Let x(s) = -k(s) - u(s). What is the third derivative of x(c) wrt c?\nAnswer: 8220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19635 - -46538. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303.8 + 304. Let w = 0 - 0.5. What is the third biggest value in -3\/4, v, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166 and 32038?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/3)\/20*-1. Let h = -1.15 - -0.85. Which is the biggest value? (a) h (b) -5 (c) -1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 24 = 4*l, 20 = -3190*h + 3186*h + 3*l for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 1. Let z be d(-3). Let x(h) = -h**3 + 16*h**2 - 17*h + 32. Let f be x(15). What is the greatest common factor of z and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/36 - (1 + 818\/(-8)). Let b = -101 + t. Solve l - 1 + 5 = b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(-t + t - t) + 14 - 11*t - 14 + 21*t - 19*t + 20*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 + 645*m + 20746. Calculate n(-61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 11) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -814 * -4\nAnswer: 3256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 4. Let p be b(3). Suppose 0 = -p*n + 6 - 0. Let -2\/9*r - 2\/9*r**2 + 2\/9*r**n + 2\/9 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -85*d**2 + 816*d - 204. Let x(p) = -p**2 + 8*p - 2. Let k(g) = 5*v(g) - 510*x(g). Let y(o) = 6*o**2. What is k(y(j))?\nAnswer: 3060*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -21*p**3 - 7*p. Let u(b) = -20*b**3 - 8*b. Suppose o + 0 = -4. Let r(i) = o*u(i) + 3*a(i). What is the second derivative of r(l) wrt l?\nAnswer: 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**5 - 332808*h**4 + 6922239968*h**3 + 13847142464*h**2 - 27688959936*h - 55383244928 = 0.\nAnswer: -2, 2, 41602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5256 is divided by 117?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/64 and 121\/10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104221 - -157142. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3788\/607 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -p - 2*o - o, -3 = o. Let i = p - -298. Suppose -2*b + i - 3 = 0. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - -0.09. Let m = -11 - b. Let k be 11\/44*(-2)\/4. What is the second smallest value in m, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4282404.\nAnswer: 2, 3, 7, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/20)\/((-3)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -125, -309, -567?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*l**2*t + 4*j*l*t**3 - 3*j*l*t**2 + 2*j*l + l**2*t**3 - 2*l**2 wrt t.\nAnswer: 24*j*l + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:44 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 1}. Give prob of sequence iiiz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqjqqqqjqqj?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-89*u + 75*u + 12 - 14) in the form d + v*u and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + x - 40, -50 = -4*i - 2*x. Suppose 31*m - 22*m = 27. Sort m, i, -3 in descending order.\nAnswer: i, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907801, -907716, -907573, -907372, -907113?\nAnswer: -906796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 4*q - 3. Let t(f) = -f**3 - 3*f**2 - 2*f - 1. Let k be t(-2). Let b be ((-4)\/2 + k)\/(-1). Let z be v(b). Solve z = 3*r - 5*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*z + 27 = 0, -94 = 5*f + 2*z + 46 - 154 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + -6a21a89?\nAnswer: -6a2200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-30)*5*4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 865316 - -2?\nAnswer: 865318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/9390 and -137\/7260?\nAnswer: 2272380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 194599. Let v(m) = m. Calculate v(p(r)).\nAnswer: r + 194599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**3\/3 - 3*o**2\/2 - 2. Let y be n(-4). Sort y, -5, 4 in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69027 greater than or equal to -66776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 - -4.85. Which is the smallest value? (a) -0.1 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 321214.8km?\nAnswer: 321214800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 6. Calculate y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmbbqqed. Give prob of sequence em.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 514 - 362. Suppose -3*l + 5*u = -125, 4*l - h - 9 = u. Suppose -i = l - 35. Which is the second smallest value? (a) -2 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23583 times 45\nAnswer: 1061235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:58 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10 - 10 + 8*q + 10*q. Let y(r) = -13*r**2 + 11*r**2 + 8*r**2. Give y(s(i)).\nAnswer: 1944*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*a**2 + 675*a**2 + 674*a**2 - 2029*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 253462*u\/3.\nAnswer: -2*u*(u + 126731)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 154*g + 37*g + 5*y - 38 = -82*g, 80 = 5*g + 5*y for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {h: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11.1027073 * -0.4\nAnswer: -4.44108292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)*24\/(-30). Which is the third smallest value? (a) -0.2 (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -18533*d + 1964491. Calculate q(106).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5581969382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*y + 13, y + 0*q = q - 6. Let j = y + 13. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 c when four letters picked without replacement from {r: 1, u: 2, e: 2, c: 2, h: 1, v: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14 = l, 2*s - 85 = -87. Let n(z) = -4*z**2 + 9*z + 21. Let i(r) = -r**2 + 2*r + 5. Calculate l*i(j) - 2*n(j).\nAnswer: -j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14324 - 14290 - 621*f + 28614.\nAnswer: -621*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7140 and 408.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v. Let c(d) = -4*d**2 - d - 11. Let w(m) = -c(m) - 2*q(m). What is the remainder when 54 is divided by w(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35\/2 - -18. Let x = -32.3 + -113.7. Let p = x + 145. Which is the fourth biggest value? (a) t (b) 4 (c) 0.3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j)*(-19 - 17 + 50)*(2*j - 4 + 6 - 3) - 4*j**2 + 13*j**2 + 9*j**2.\nAnswer: 74*j**2 - 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 5*m - 19. Let c be p(3). Let t be c*4*(-6)\/24 - -5. Solve t*n - 17*n = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1122696*p + 16839765.\nAnswer: 3*(p + 15)*(p + 374217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 66. What is the remainder when g is divided by (22\/(-5))\/((-448)\/(-336)*(-3)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38945010, -38945009, -38945008, -38945007?\n\"Answer: h - 38945011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmnmmnmmmm. Give prob of sequence mmnm.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.5, 1\/18, 44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**(-4)*m\/(m\/m**6)*(m\/(m*m*m**(3\/2)*m))\/(m*m*m*m\/(m\/(m*m\/m**(1\/4)))*m)*(m*m**(1\/4))**26*(m\/(m\/m**(-7)))\/m*m**(4\/9)*m assuming m is positive.\nAnswer: m**(1033\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.282, 8, -8\/9, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 7, -2*s + 1589*y - 1593*y = -30 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50 + 4*c - 50)*((3*c**3 - c**3 - c**3)*(-1 + 3 - 3) - 2 - 2*c**3 + 2 + 2*c**3 - c + c) to the form q*c**2 + w*c**3 + m*c + u + k*c**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 53. Solve 4*k = r + 16, p = 2*k - 4*k + 4*r - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p. Let a be k(-1). Let x(f) = 2*f**2 - 25*f - 10. Let m be x(a). Suppose 0 = 3*s - 5*n - 3157, -m*s = 3*n - 1600 - 1541. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(2*o + 73 + 98 - 135).\nAnswer: 2*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -0.432\nAnswer: 10.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 1.2. Let z = n + 1. Let v be -2*1\/((-20)\/6). Which is the second biggest value? (a) z (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395\/1273339 or 1?\nAnswer: -395\/1273339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9598 = 2*p, -5*p - 190*m + 23996 = -188*m. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**3 - 29*l**3 + 62*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o + 12*o**3 + 51 - 2*o**2 - 54 + 5*o**2.\nAnswer: 3*(o - 1)*(o + 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2574086452.\nAnswer: 2, 7, 149, 616991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -387, -389, -391?\n\"Answer: -2*i - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 123\/39 + 46\/(-299). Let c(j) = -j**2 + j. What is c(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26 - (3\/4 - (-3)\/12). Let v be 100\/z - (-395 + -1). Suppose 0 = 5*s - 3*l - 1009, 3*s - 3*l - 203 = v. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 + 8*v + 211. Let y be m(-11). Suppose 4\/5*j**y - 48\/5*j + 144\/5 = 0. What is j?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 - 5*o**2 + o + 2. Let v = 35 - 32. Let w(x) = -3*x + 5*x**2 + 5*x**2 - 4*x**3 + 13*x**3 - 5. Let m(n) = v*w(n) + 7*h(n). Give m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.1. Let z = 0.3 + s. Let j = 1 + -2. Which is the second smallest value? (a) j (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 70)*(-7)\/35 + 12 + -56.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 0.4 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 8*t - 4*t + 36, -t + 5*v = -16. Let f be 1 - (t - (-32)\/7). Put 0.5, 4, f in increasing order.\nAnswer: f, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 4*o**2 + 2*o + 1. Let p be u(2). Suppose 12 = 3*n - c, 0 = -5*n + 5*c + 35 - p. Suppose -n = -v + 23. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r + 5. Let o be f(6). Let b(g) = -6*g**2 + 1. Determine b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*a, k - 90 = 3*a - 2*a. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.00608 centuries in millennia?\nAnswer: 2.900608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 130, 194?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18313 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4538190, -9076370, -13614550, -18152730?\nAnswer: -22690910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 161a6 (base 13) to base 6\nAnswer: 522400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 6*o**2 + 7*o - 7. What is the remainder when y(7) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 534 and 4481061?\nAnswer: 8962122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {y: 1, i: 8, v: 5, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77035.\nAnswer: 5, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5774373.352 to the nearest 10000.\nAnswer: -5770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) 1\/10 (c) 13354\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3247556.\nAnswer: 2, 13, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.88335 rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*c**3 - 24242*c**2 - c - 21169028?\nAnswer: 336*c - 48484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.01 take away 12?\nAnswer: -42.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(55)*3)\/(-5*sqrt(11)*3).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -570*j. Let k(l) = 2*l + 11. Determine k(i(y)).\nAnswer: -1140*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (7 - (-11 + (7 - 2) + 9)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -281168*q + 529145?\nAnswer: -281168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 247215 + -80?\nAnswer: 247135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24892\/5 + 4979. What is the biggest value in o, 4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -755 - -911. What is the second smallest value in 7, 1\/2, z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 791.5052 hours?\nAnswer: 2849418720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 238, 476, 714, 952, 1190, 1428?\n\"Answer: 238*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(0 + (sqrt(1210) - ((sqrt(1210)*-1 - sqrt(1210)) + sqrt(1210) - sqrt(1210)))\/(1*sqrt(162))).\nAnswer: 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675232127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -61*t**8\/56 - 223*t**4\/12 - 9*t - 21. What is the third derivative of x(y) wrt y?\nAnswer: -7320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-1066.\nAnswer: -127.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477707 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*a**3*i + 2*a**3 - a**2*i + 9*a*i - 5*a - 3*i wrt a?\nAnswer: -420*a*i + 12*a - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*u**2 - 7*u**3 + 3*u**3 + 6*u**3 + (6*u + 0*u - 4*u)*(u**2 - 4*u**2 + 0*u**2).\nAnswer: -4*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.187 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.5 - -3.3. Let c be (-2)\/10*7 + 1. Suppose 2*b + 18 = -5*u + 40, 0 = 4*b + 2*u - 12. What is the nearest to o in 1\/5, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -0.2, -4, -0.162?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22791 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 4:31 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 12. Let i(t) = -t**2 + 14*t - 17. Calculate the smallest common multiple of 6 and i(v).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((20 - -2) + (-8 - -13) - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.60265 rounded to two dps?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 347*o - 29249. Determine d(-171).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/908 (b) -5 (c) 0.6 (d) -1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/20 - 702\/600?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -309 in descending order.\nAnswer: -3, -4, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**3 + 2186*r**2 - 2186*r**2 - 144*r + 3*r**3 in the form w*r + i + z*r**2 + m*r**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/4 + 90203*p**2\/4 + 37582*p - 15033 = 0 for p.\nAnswer: -30066, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x - 7*x - 93, -5*x + 3*s = 101. Let m be 14\/44 - ((-48)\/120)\/((-12)\/15). Which is the nearest to 2\/3? (a) x (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 79 - 2 = 0. Let k be 5 - (u - 3 - 4). Solve -52 = -k*a + 16*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g - 107. What is f(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 2. Suppose r*x - 5 = x. Solve c + 0 = -2*z - 6, 0 = -x*c + z + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 9 - (0 - (-2 + 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 times -2?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:25 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.32, -9, 11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-14\/3)\/t*t*t\/(t\/t**(-5)*t)*((((t\/(t\/t**(1\/38))*t)\/t*t)\/t)\/t)\/(t**15*t) assuming t is positive.\nAnswer: t**(-2923\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (431 - 402) + -1977*63\/4293.\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 166974054 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -b18 (base 16) in base 10?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*-1*-4) + sqrt(156)*-2*-4)\/(sqrt(48) + sqrt(3072)*1 + sqrt(3072) + sqrt(3072))*-6.\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g + 5. Suppose -13 = 4*b - g. Let l be (-3)\/(6\/3 + -1). Are b and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 117715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 9*j**2 + 7*j + 10. Let z = 20 + -12. Let p be l(z). Solve 0 = -2*c + p - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 314, 358, 418, 500, 610, 754, 938?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 281565147 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24 = -j - 2*j, 5*j = -20. Let h be -3 + 18\/z + 9. Solve -p - g + 3*g + 3 = 0, 0 = 5*p - 4*g - h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 252*u - 4755. What is the smallest common multiple of 5 and l(19)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 20*m**2 - 20*m + 28. List the prime factors of k(-12).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*s - 25 + 1657 = 236 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -44724.5 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -2. Suppose 2*c + l = 7*c - 5, -5 = -n*c - 5*l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82794069707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f + 3. Let j be n(6). Let b be 8\/(-5) + j\/(-25). Let g = 7 + b. Calculate the remainder when 15 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + (-90)\/6 - 70\/(-2). What is the greatest common divisor of 96 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -406570 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(10\/59))\/(2\/(-5)) and -69\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 13?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8951 + 0.1049. Let h = -48 + 383\/8. Put 2, f, h, 0.4 in ascending order.\nAnswer: h, 0.4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 0.6. Which is the closest to 2? (a) -5 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*i**3*t**3 - 3*i**3*z + 2*i**2*t**3*z + 2*i**2 - 40*i*t**3 wrt i.\nAnswer: 174*t**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 3. Let k be c(-2). Let n(t) = -t**3 - 5*t**2 + 5*t - 7. Let b = 16 - 22. Let o be n(b). Is k greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.887604l?\nAnswer: 1887.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 72 = -5*n. Let p = -7 + n. Let u = -10 - p. What is the remainder when 32 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1375 + -1372. Suppose 0 = r*i - 2*j - 4, 42*j = 4*i + 47*j - 13. Factor -10\/19*y + 8\/19*y**i + 2\/19*y**3 + 0.\nAnswer: 2*y*(y - 1)*(y + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 11*m**4\/24 + 167*m**2\/2 - 2*m + 8. Let o(j) be the first derivative of k(j). Let u(v) = 5*v. What is 6*o(q) - 11*u(q)?\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 9. Let v be 1\/(-4)*-2*(5 - 5). Let j(z) = -9 + z + 5 - 2*z + v*z. Let m(y) = -9*j(y) + 4*s(y). Let d(l) = 4*l. Determine m(d(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -162, 4, 5 in increasing order.\nAnswer: -162, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c96ac - 0?\nAnswer: 6c96ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635.924mg in nanograms?\nAnswer: 3635924000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7 + -2?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26305 or -26300?\nAnswer: -26305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - ((-17 - 2) + 10)) + 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252))**2 - (-2 + sqrt(35)\/sqrt(5)).\nAnswer: -sqrt(7) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55297 - -55291. Let d = 4.7 - 5. What is the third biggest value in n, 3, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7675\/32 + 4889561\/20320. Let u = h + 2\/127. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + w**5 + 0*w**5 + (3*w**3 + 0*w**3 - 5*w**3)*(0*w**2 - w**2 - w**2) + 3*w**5 + 0*w**3 + 0*w**3 + 19*w**5 + 7*w**5 + 85*w**5.\nAnswer: 119*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = 2*v, u - 22 = -4*v + 3*u. Suppose -4*o = 2*w - 94, -4*w + 235 = v*o + 47. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5237 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 + -20?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o\/o**2)\/o)**(-1\/7))**(-48))**(2\/17) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11999 + 72\/(-40)*10\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18752, 74971, 168662, 299825?\nAnswer: 468460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Let l = -2 + j. Let r be ((l - -1) + -1)\/15. Which is the biggest value? (a) 2\/7 (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/7, 1\/5, -0.37, 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12576 and -7\/65194.\nAnswer: 409939872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - s**2 + 10186*s + 10187*s - 6*s**2 - 20373*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-16))\/z**(2\/37)*z*z\/(z*z**(-2\/21)*z*z)*z\/z**(5\/7) assuming z is positive.\nAnswer: z**(-12178\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssesezesses. What is prob of sequence ezs?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -291282 divided by 5\nAnswer: -291282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+64413719\nAnswer: 64413718.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1242 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -43. Suppose -13 + 3 = 2*r. Let j(v) = -v + 3. Let k be j(0). Put o, k, r in ascending order.\nAnswer: r, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766328.3 rounded to the nearest one thousand?\nAnswer: 766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248464?\nAnswer: 2, 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371726, 371725, 371724, 371723, 371722, 371721?\nAnswer: 371720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*u - 136 = 130, 0 = 2*k + 5*u - 168. Is k greater than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 (base 13) in base 6?\nAnswer: -1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23*0.1039\nAnswer: 2.3897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.154 and -559.\nAnswer: 86.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26949734 and 6622?\nAnswer: 296447074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 32843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 98*r + 308. Let p be w(6). Which is smaller: -86 or p?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.65 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 87?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1206.\nAnswer: -361.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + -48. Let v = -126 - u. What is the smallest common multiple of v and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*17*147\/(-3570)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 20*n**2 - 9*n + 9. Let q(y) = -5*y**2 + 2*y - 2. Let h(r) = -2*a(r) - 9*q(r). Let j(w) = -12*w - 3*w + 8*w + 5*w + 4*w. Determine j(h(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -1871, -4258, -7603, -11900, -17143, -23326?\nAnswer: -30443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -688330494220+-0.04\nAnswer: -688330494220.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-25))\/1*-5. Differentiate -19 + v*m - 1 + 18*m wrt m.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28225 divided by -92?\nAnswer: -28225\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3 - 22. Suppose 0 = -u*b + 13 - 3. Let j = -24\/11 + 153\/55. Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = 4*q - 22, 3*q - 5*a - 13 = 0. Suppose f - q*f - 3355 = 0. Let w = 978 + f. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 18 - 6*l + 40. Let n be d(13). Let o = -43 - n. Sort -4, -5, -2, o in descending order.\nAnswer: o, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6348343520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 3, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100101001 (base 2) to base 5.\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -913 - 940 + 120*y**2 - 903 + 2665 to q*y + c*y**2 + g and give c.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 + 43213*g**2 - 43213*g**2.\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446204, 892315, 1338244, 1783901, 2229196, 2674039, 3118340?\nAnswer: 3562009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1.9, 0, -4 in decreasing order.\nAnswer: 1.9, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 28 = -8*a. Let k(s) = -2*s - 3. What is the least common multiple of k(a) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 - 4*o**2 + 4*o - 10. Let v(d) = 20*d**3 + 13*d**2 - 12*d + 29. Let u(m) = 6*v(m) + 17*w(m). Does 41 divide u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724577490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5015, -4978, -4939, -4898, -4855, -4810, -4763?\nAnswer: -4714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*n**2 + 3*g**3 - 30*g**2*n - g - 306*n**2 wrt g?\nAnswer: 6*g*n**2 + 18*g - 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/(15\/12). Let w = -49 - -33. Let u = w - -19. Which is the nearest to t? (a) u (b) 8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018252661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 0.05, -6\/7 in descending order.\nAnswer: 0.05, -0.14, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -342*v - 5098 + 1678 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -26) + 0 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 5*k**2\/2 + 59*k - 58. What is the remainder when 44 is divided by l(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 22*k - 31. Determine q(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*v - 36 = 0, -5*j = 9*v - 13*v + 76. Let s be (4*(-12)\/40)\/(j\/20). Which is the second smallest value? (a) 5 (b) s (c) -28\/17 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15778503?\nAnswer: 3, 13, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 35 - 2*w - 38)*(0*w - 2*w + 4*w).\nAnswer: 4*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 0*b = 3*b + 63, 91*b = 93*b + 34 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -18*d**2 - 2*d + 15. Let f(w) = 92*w**2 + 11*w - 76. Determine -2*f(b) - 11*q(b).\nAnswer: 14*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.46 + -4.24. Let u = -0.7 - g. Sort -2\/21, u, 1\/3 in increasing order.\nAnswer: -2\/21, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340609 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.3 + 18.22. Let f = -2 + 1. What is the biggest value in h, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2016833258 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1502*d**2 - 7963 + 3986 + 3978 in the form a*d**2 + g*d + s and give a.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 546 + -446. Is 99 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18 + 3*l**2 - 2*l**2 + 12 - 2*l**2 + 7*l. Let d = -24 - -30. Let g be n(d). Solve 0 = 5*j - g*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*g**3 + 168*g**3 - 87*g**3 - 20 + 21.\nAnswer: 22*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4995 + 3*v + 4995.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*d - 8 = -0, 3*l - 14 = -5*d. Let x be l*1*-1 - 96\/64. Which is the nearest to -4? (a) 4 (b) x (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13580404.\nAnswer: 2, 3395101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334.592776 - 5.\nAnswer: -339.592776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 1, 3, -4 in descending order.\nAnswer: 68, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*c - 12 = -144*c + 4, 4*c = -f + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, q: 5}. Give prob of sequence qm.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/(-1) - -2)*1. Let r = v - 7. Suppose 7*x = 2*x + r. Solve -5*y = 16 + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 653 divide 8266980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -188, -375, -664, -1061, -1572, -2203?\nAnswer: -2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 96123656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.4 or -11.453?\nAnswer: -11.453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18064 = -41*j + 25234 + 20300. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 654159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 6*n - 5, 5*t - 11 = 4*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 32. Suppose -3*y = a + c, -5*a + 2*a = -5*y - 29. Calculate the lowest common multiple of a and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)\/l**6)**(11\/6)\/((l*l\/l**4*l\/l**(-3\/8))\/(l*l**1)**(-4)) assuming l is positive.\nAnswer: l**(-2911\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o + 9*o - o + o**2.\nAnswer: o**2 + 31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.0046, 2\/5, -1.9, -2 in increasing order.\nAnswer: -2, -1.9, -0.0046, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 2*o - 2*o + (-38 - 13 - 37)*(-3*o + 3*o + 3*o) in the form c + w*o and give w.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and 119\/1289094.\nAnswer: 5156376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -37*x**2 + 9*x. Let h(w) = -18*w**2 + 5*w. Give 3*g(c) - 5*h(c).\nAnswer: -21*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*w**2 - w**2 + 4*w**2 - w**4 - 2*w**3 + 7*w**3 to d*w**3 + t*w + h*w**2 + i*w**4 + g and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26254 <= 25750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 10, 236824 in descending order.\nAnswer: 236824, 10, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180) + -2 - (-2 + sqrt(180) + 1) - (sqrt(2880) + sqrt(2880) + -1 + 4*sqrt(270)\/sqrt(6)))**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(80))**2 + sqrt(17) + 3*sqrt(1088) + sqrt(1088) + (-6*(sqrt(1700) + 1)*6)**2.\nAnswer: 25953*sqrt(17) + 35271953\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(1 + -1 + 2) - -13. Solve -2*g - g - y = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3360 by -140.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)**(-20\/3)\/(l**(-3\/7)\/(l\/l**(-2\/3))))**(3\/17) assuming l is positive.\nAnswer: l**(-376\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1120121 (base 3) to base 2\nAnswer: 10001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 940 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 11 + 1, 4*x + 5*u = 2. Let l be (x\/(-3))\/(4\/186). Suppose 5*v - l + 1 = 0. What is the smallest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*d**2 + 160*d**2 - 11*d**3 - 105*d**3 to w + j*d**3 + x*d + m*d**2 and give j.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -945336916 + 945336916 + 3*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2825388 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10971 to the nearest 100.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 47*m + 573. Calculate x(-24).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -28)*20\/(-60)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(((sqrt(104)*-3 + sqrt(104) + sqrt(104))*6)\/(-3*sqrt(32)\/sqrt(4)))**2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193\/2 - -96. Which is the fourth smallest value? (a) 0.4 (b) g (c) -0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/1*(-1)\/2. Let u = -1093 + 597. Let d be 4\/v + u\/(-120). Solve -4*s = -20, d*s = -3*t + 2*s + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {b: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5925?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 108063946, 216127887, 324191828, 432255769?\n\"Answer: 108063941*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7342 = -6602. Suppose -2*g - 4*o + w = -5*o, -g + 4*o + 1155 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25680 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -329*c + 2194. Let f(g) = -2*g - 9. Let r(p) = -3*f(p) - j(p). What is the derivative of r(h) wrt h?\nAnswer: 335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67761038393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hduhiduudhihuuh. What is prob of picking 2 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-36)*(231177\/156222 - 6\/(-297)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**15\/p**(6\/11)*(p**1)**3)**(-1\/16))**(-1\/75) assuming p is positive.\nAnswer: p**(4\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5995, 11268, 40041, 80324, 132117, 195420, 270233?\n\"Answer: 5755*q**2 - 2*q - 11748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1106019 divided by -368673\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 1. Let j(p) = 1. Give -4*j(y) + x(y).\nAnswer: -3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -9052 in descending order.\nAnswer: 4, -1, -9052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 - -8?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -2.1. Let c = u + -5. What is the closest to -7 in -2\/5, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 3 + -111 + 32 + 24.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**40*i\/(i*i\/(i**(2\/43)*i)*i*i))\/(i**17\/i**(-2\/23)))**(-17\/2) assuming i is positive.\nAnswer: i**(-352393\/1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1.77.\nAnswer: -0.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 5:03 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2 + 1 + 0 - 2 + r. Let j be n(8). Suppose 0 = -2*w - 4*z - 13 + 85, -j*w + 180 = 3*z. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 13, 25, 596 in decreasing order.\nAnswer: 596, 25, 13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102732346 to the power of 1\/2, to the nearest integer?\nAnswer: 10136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Suppose -8*h = -3*h - 80. Suppose -b*w = -w + h. Is w smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8486*n**2 + 7761 wrt n?\nAnswer: -16972*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -7\/1302149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one sixths of a week?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11180972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/11*((-68 - 16) + 76).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2680 - -2883. Calculate the highest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 0*v + 5*v)*(14 - 3*v - v + 7*v)*(v + 2*v - 4*v) as t*v**2 + x + f*v + c*v**3 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {x: 9, o: 4, a: 6}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/344109?\nAnswer: -1\/344109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219209, 219578, 220581, 222536, 225761?\n\"Answer: 53*f**3 - f**2 + f + 219156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 6*h**2 + 5*h + 4. Let u be f(-5). Suppose i + 4*o - 9*o - 18 = 0, 3*i - u*o = 32. Solve 4*k = m + 11, 6*m - i = m - k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*a = 1 - 59, 4*m - 119 = 3*a. Solve -5*z = -4*f - m, -9*z + 4 = -5*z + f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2856*p - 9 = 2853*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.34 + 11.34. Let y = -0.2 + 0.3. What is the second biggest value in 20, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114678070717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573810 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: Let m be (0 + -20)*(-1)\/(-2). Let u = -1 - m. Suppose -4*p + t = -53, 2*p + 4*t - t = u. Calculate the remainder when 22 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -854, -3406, -7658, -13610, -21262, -30614, -41666?\n\"Answer: -850*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1165146\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**7\/2940 + c**5\/420 - c**3 - 3. Let s(a) be the third derivative of b(a). Factor s(g).\nAnswer: -2*g*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 3) to base 15.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 60 + 160. Let c = b - 26. Calculate the common denominator of (-2)\/c - -1 - 2 and -52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168 - 117. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1964909 litres in millilitres?\nAnswer: 196.4909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3930 and 30?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26786280 rounded to the nearest 100000?\nAnswer: -26800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:08 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (-5)\/75*-10 + (-106)\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -0*r + 3*r. Suppose 5*i = 5*k - r, 2*i + 21 = 4*k - 61. Solve 0 + k = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152 - 153. Sort 3, -61, m in decreasing order.\nAnswer: 3, m, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 1. Let n be p(-5). Let z = 6 + -11. What is the second smallest value in 4, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 77 + 17 + 16 + 7 + 12*b**2 - b**3 + 18. What is the remainder when k(9) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11214025 (base 6) in base 5?\nAnswer: 42004241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, s: 2, m: 1, j: 1, n: 1}. What is prob of picking 1 j, 1 z, and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/7)\/(6 + -12 - (-256)\/42).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1894)\/(-14) + 362\/(-1267). What is the highest common factor of 30915 and h?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*s + 86 = 0, 2*t - 66 = -s - 33 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rst when three letters picked without replacement from trttsss?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 + 7\/33*w**4 - 1\/330*w**5 + 260*w**2 - 196\/33*w**3 + 0*w. Determine h so that i(h) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 3*q**4 - 5*q**4)*(q + 9*q - 4*q).\nAnswer: -30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 476 + -456. Let f(q) = q**2 - 10*q - 211. Give f(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (1 - -1) + -3 - 44. Let w be ((-142)\/(-3) - 3)\/((-1)\/y). Suppose 5*l - w = 43. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50940 and 870?\nAnswer: 1477260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 0*a = 3*a. Suppose a = 6*b - 3*b + 3*d - 1224, 814 = 2*b + 4*d. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o + 1. Let c be n(1). Let x = c + 22. Solve 0 = x*r - 2*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 5*b + 5. Let w(m) = -11*m**2 + 14*m + 15. Determine -8*q(f) + 3*w(f).\nAnswer: -f**2 + 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*o + 3*o + 3, o + 6 = -2*q. Let t = 32 + o. Suppose 5*v + 0*v = t. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:43 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Suppose v*d - 5 = d. Let z(p) = -7*p**3 - 5 + 7 - 7 + d*p. Let q(n) = 4*n**3 - 3*n + 3. What is -5*q(k) - 3*z(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/136 and 91\/2024.\nAnswer: 34408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 - 7*a**4 + 3*a**4)*(-2*a - 10*a + 0*a).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 25, -2*w + 2*k = -59 - 17. Suppose -78 = 3*f + 2*i, -3*f + 3*i = -4*f - w. Find the common denominator of 85\/f + 8\/12 and 123\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1121, -1114, -1107, -1100?\n\"Answer: 7*u - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {o: 1, x: 2, w: 2, d: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 - 2*k**2 - 3259 + 455*k + 2*k**2 + 3261.\nAnswer: -5*k**3 + 455*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 63 + -58?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24717974.92999983 - 24717942.93. Let h = -30.1 + -1.9. Let d = h + l. Round d to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.3321 * -3.\nAnswer: -18.9963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -3. Suppose -15*c + 19*c = -z. Is -3 - ((-4)\/(-6) + 5284\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 6:40 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 3037*z**8\/168 - 6683*z**4\/24 + 2011*z**2 + 2. What is the second derivative of l(u) wrt u?\nAnswer: 121480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-4) - (-2739)\/44?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 347 - 350. Let z = 501 + -499. Put h, z, -10 in decreasing order.\nAnswer: z, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*x - 2582 + 2466, 0 = -2*x + 2*f + 44 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1278 or -1277?\nAnswer: -1277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 + 70*y**2 - 15*y - 76. Let n be d(18). Which is smaller: -993 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x + 1886 - 1886)*(0 + 0 - 3*x).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - 25. Let o = 67.9772 + k. What is o rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 10 + 228 + 90 = -5*z - 112*f, -4*z - 5*f - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*q, 3*q - 20 = 4*r - 2*r. Find the second derivative of -2 + q - 29*m - 22*m**2 + 93*m**2 - 3 - 7*m wrt m.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -553476*w**4 - 5344*w - 3 wrt w.\nAnswer: -6641712*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005125 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 44*n + 35. Let v be u(-42). What is the second derivative of -v*m**2 - 34*m + 6*m + 6*m + 16*m + 4 wrt m?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*v**4 - 6*v**3 + 6*v**3 - 36*v**4 + 97*v**4 - 10*v - 39*v**4 + (-v**2 - 4 + 4)*(4*v**2 - 4*v**2 - v**2).\nAnswer: 44*v**4 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:48 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -43789\/2775 != -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 5*v. Suppose 10*c - 11*c = v. Let o(r) = -r + 8. What is o(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*t - 4, -8*t = -10*t. Which is the nearest to x? (a) 2\/7 (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 130 = 140 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 67*h - 63*h. Suppose r - 5*r + 248 = 4*x, -60 = -r - 2*x. What is the highest common factor of r and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 6*l + 187. Solve 4 = d + 2*d + 2*r, -4*d = 5*r - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a = 84. What is the remainder when 103 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) - (-4 + 436\/140). Factor -3\/7*a**4 + p*a**2 + 15\/7*a + 6\/7 - 3\/7*a**3.\nAnswer: -3*(a - 2)*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - 15 - (-1910)\/440. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 18*k + 13 - 10 + 23*k**2 + 18*k to the form x*k + n*k**2 + f and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178.7 - 179.1. Which is the second smallest value? (a) v (b) -4 (c) -245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 184*q + 940 = 19*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -278*b**2 + 2 + 5*b - 9*b + 277*b**2. Let o be l(-3). Solve -o*m - 5 = j - 2*m, 0 = 4*j - 2*m + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(160)*6 + sqrt(40))\/(3*sqrt(512)).\nAnswer: 7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 1*sqrt(13)) + -2)**2.\nAnswer: -96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 2, z: 1, d: 1, a: 4}. What is prob of picking 1 d and 2 p?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Suppose 15*y + 49 = 49. Let r(m) be the third derivative of 1\/20*m**5 - 20*m**2 + 0*m + 0*m**4 + y + 0*m**3. Calculate r(h(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4 + 7*a**2 - 1 + a - 12*a + a**3. Calculate the remainder when z(-8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 10. Let c be (u - -1) + -13 + 14. Solve -1 = k - c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -15 + 2 - 14) + 22?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314181 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 2*w**3 - 17 + w**3 + 6*w**2 + 6 to r + d*w**2 + s*w**3 + n*w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*q**2 - 72 + 72)*(-14*q + 23*q + 21*q) to the form g + h*q**3 + x*q**2 + f*q and give h.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*t + 8220 = -0*l, 0 = -2*l + 2*t + 4110. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - 2)\/((-9)\/(-12)). Let o be (1 + 4)*y\/(-40). Suppose -4*c + 2*c = -f + 180, -o*c = 0. Calculate the greatest common factor of f and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 7*q + 4*q + 3*q to w + d*q and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20\/16*((-8)\/(-28))\/(70\/(-4312))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1941 = 3*q, 2*o + 2000 = 3*q + 64. Let m = q - -346. Suppose -5*c + m = -297. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*4.164\nAnswer: -37.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -484 + 484.66. Let b = 0.64914 - k. Round b to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 0.4 (c) 0.1 (d) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 - -0.16. Let h = -0.03 + i. Which is the nearest to h? (a) -2\/9 (b) -1\/3 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(2*sqrt(11)))\/(sqrt(5)*3*-1))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -20*x + 6. Let p(a) = 7*a - 2. Let n = 924 + -918. Calculate n*d(m) + 17*p(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sffsfysfffs. What is prob of sequence sys?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**2 + 8195*h + 2050 = 0. What is h?\nAnswer: -1\/4, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -28. What is the highest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1160203 (base 7) to base 10.\nAnswer: 148963","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -10.\nAnswer: -67\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132540871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/63 + (-6)\/105*-5. Put p, 24, 3 in descending order.\nAnswer: 24, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/39*(-12)\/10)\/(3844\/(-62)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -5) + -9 - 23 - (3 - 4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 17 - 18*t + 3*t**2 + 0*t**2. Let f be s(-16). Let u = 9 - -6. What is the greatest common divisor of u and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113367 is divided by 18894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 minus -390?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 + -7 + (-16 + 6 - -20) + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:08 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:42 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 1, l: 1, h: 4, k: 2}. Give prob of sequence blh.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + c - 7 + 5, 2*n - 3*c = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (158 - 0\/2) + -2. Suppose 5*b + 6 = l. Suppose -5*c = -4*c - b. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*(-708)\/1593?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -5 + -2 + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*s**2*w - 2*h*s**2 - h*s*w - 21*h + 308*s**2*w - 6*s**2 with respect to h.\nAnswer: 4*s**2*w - 2*s**2 - s*w - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2336123*u**4 + 6*u + 988479.\nAnswer: 28033476*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 52 = 58. Calculate the remainder when p is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 + -401\/3. Suppose j = 2*j + 2. Let r be 3*j\/(-3)*-1. Put 5, g, r in descending order.\nAnswer: 5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f + 391 = -1202 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f + 94. Let r = f - -81. Suppose 3*j - 3*s - 667 = -2*j, 3*j - 397 = 5*s. Calculate the remainder when j is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -70*p**2 - 1405*p - 110. What is q(-20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmhkhhhtkghkgthhg. What is prob of sequence hkhg?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Suppose -i*u + 18 = -b + u, u - 2 = b. Suppose 17 = b*h - 13. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z + 8. Let p(k) = 3*k + 57. Let v be p(-19). What is i(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 1, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10232.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -1\/4, 7 in ascending order.\nAnswer: -4, -1, -1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104769, -106101, -107443, -108801, -110181?\n\"Answer: -l**3 + l**2 - 1328*l - 103441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 11. Is (-1317*((-115)\/(-3))\/(-5))\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159 - 147. What is the lowest common multiple of p and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 6\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 333136 + -211359. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207087079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*t + 2237 - 10246, -2*t - 13367 = -5*w. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 29.8. Let d = 12.9 - t. Let n = d - 5.700125. What is n rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41251440 to the power of 1\/2, to the nearest integer?\nAnswer: 6423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*h + 179*h - 42046 = 3*i, i - 52529 = -5*h. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 2*d**3 + d - 5*d**3.\nAnswer: -10*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z + 1. Determine k(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120412.05 rounded to the nearest 100?\nAnswer: 120400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360669902?\nAnswer: 2, 180334951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 53*p**2 - 54*p + 7941. What is c(51)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 1710 - 1713 = t, -5*t - 2*s - 168 = 4*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*z, -8*z + 20 = -5*p - 13*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*o - 13, 0 = -4*o - o + 5. Let v = x - -7. Suppose 0 = -155*g + 154*g + 14. What is the remainder when g is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 4*k**2 + 4*k - 3. Let p be a(-3). Suppose b - p = -13*c + 11*c, 2*b = 5*c + 177. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 2*c**2 + 3*c + 3. Let n be a(0). Let z(b) = 18*b**3 + 5*b**2 - 7*b + 5. What are the prime factors of z(n)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18061 + -18209 - (-40 - 0)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/21)\/(-2) + (-410)\/(-70). Calculate the greatest common divisor of h and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f + 2. Let k(m) = -4*m - 3. Let i(u) = 3*u + 2. Let g(d) = 3*i(d) + 2*k(d). Let q = -10 - -12. Give q*g(w) - t(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8 - -0.8. Let x = -3.5 - d. Let s = x - 0.4. Which is the third smallest value? (a) -5 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/5 - 14*h**4\/5 - 2*h**3 + 86*h**2\/5 + 84*h\/5 - 144\/5 = 0. Calculate h.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/60 - 17*f**5\/60 - 5*f**4\/12 - 11*f**3\/6 - 7065*f**2. Calculate o(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.1464.\nAnswer: -0.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 153 = 2*r. Let f = r - 89. Calculate the remainder when f is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7337 (b) -2\/3 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12792 (base 15) in base 6?\nAnswer: 1133315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 8154019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21461 + 21461.0381. Round b to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/28128 and 25\/96?\nAnswer: 28128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242588854 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 66023324?\nAnswer: 66023323.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 9 (c) -0.2 (d) -242\/17 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -321504742?\nAnswer: -321504736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -20*c**2 + 221*c + 1053. Calculate b(0).\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164249231939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/2)\/(-5)*2. Suppose 5*v = -3*j + 46, 8 + 86 = 5*j + 4*v. Suppose i*w = -3*o + j, -8 = -5*w - o + 6. Solve -w*m + 11 = 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -269, -210, -151, -92, -33, 26?\n\"Answer: 59*g - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5554 - -8703. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**6\/15 - 2*l**5\/25 + l**4\/10 + 2*l**3\/15 + 23. Find a such that i(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**2 - 2*z. Let a(g) = 75859*g. What is a(w(v))?\nAnswer: 834449*v**2 - 151718*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*175.\nAnswer: 472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.76727l in millilitres?\nAnswer: 46767.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.5868082*-0.3\nAnswer: -0.47604246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x - 40. Is v(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -14. Let h(b) = b**3 - 9*b**2 - 9*b - 1. Let r be h(l). What is the units digit of 24\/r*(-15)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/18)\/(-1))\/(3\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 776b9?\nAnswer: 776ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {k: 5, c: 3, g: 1, u: 5, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17 - -2)\/(-150))\/((4230\/8)\/(-47)).\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*f = 9, 0*f + f = 2*o + 2. Let q be (5 - (o - 4))*-4375. What is q rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*f*n*o*r**2 - 5*f*n - 5*f*o*r + 21168*n*o*r**2 + 3*o*r**2 with respect to f.\nAnswer: 36*n*o*r**2 - 5*n - 5*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255 + -327. Let j(m) = -m**2 - 5*m - 6. Let i be j(6). Is n greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620\/945 + (-287)\/196\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (13992\/(-330) - (-2)\/5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.49 + -7.8. Let s = -4.11 - l. Let b be ((-2)\/(-2))\/(3\/2). What is the closest to -4 in s, 5, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4302*-0.5.\nAnswer: 0.2151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 2. Suppose -19 = -t - 23. Let h be k(t). What is the units digit of 20\/h - (3 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7170702?\nAnswer: 1\/7170702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 76*a**2 + 220*a + 72. Let l be r(-73). Let b(u) = -9*u**2 + 2*u + 2*u - 5*u. Give b(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 38*x**2 - 96. Let a(j) = 75*j**2 - 190. Suppose -5*r + 5 = -10. Let g(b) = r*a(b) - 7*l(b). Find the first derivative of g(y) wrt y.\nAnswer: -82*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 3150.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/(1*1\/(-6)). Suppose 15*y + 22 = x*y. Let w(q) = 2 + 1 + 2*q - 3*q**2 + 2*q. Determine w(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 11*n - 1528*n**3 + 539*n**3 - 512*n**3.\nAnswer: -1501*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 26 - 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 d when three letters picked without replacement from sndss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1\/(-7) - 1819914\/(-742) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqggqqqq. Give prob of sequence qg.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -14*a**2 - 875*a + 366. What is l(-63)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 369 = -13*c. Suppose -d = 8*d - 3321. What is the highest common factor of d and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + sqrt(684)*-4)**2 + (sqrt(76) + (sqrt(76) - -3*sqrt(76)) + sqrt(76))**2.\nAnswer: 11932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z**2 + 3. Let v(x) = 8 + 7 + 0 - 16 + x**2 - 7*x**2. Give 4*q(t) + 11*v(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422850882?\nAnswer: 2, 127, 9538783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133 + -3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 7.34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 21728 + 8022 = 0. Calculate the remainder when f is divided by 120.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 8*t + 1. Suppose -2*s + 12 = -4*s. What is the tens digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -509\nAnswer: 172\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3274, 6445, 9592, 12703, 15766?\n\"Answer: -2*q**3 + 3185*q + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.047, -2 in increasing order.\nAnswer: -4, -2, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.3342 plus -0.03?\nAnswer: -23.3642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*6)\/sqrt(8) + -2*sqrt(80)\/sqrt(4))\/(sqrt(4) + sqrt(256)\/sqrt(4) - 4*(sqrt(4) + sqrt(196))).\nAnswer: -4*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by -7224.\nAnswer: 225\/1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(16\/(-20))\/(-2). Let z be 10\/(q + 3) - -13. Calculate the remainder when 153 is divided by 575\/z - (-4)\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = -1. Suppose 2*o - a*o - 1 = 0. Let w be 24\/182 - 2\/7. Sort w, o, 5 in descending order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 209\/(-33) - 1\/(-3). Let y be (0 - -1*1) + -19. Let l = r - y. Calculate the highest common divisor of l and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let y(z) = z**2 + 2*z - 1. Let q be y(n). Solve -q*i = -i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:11 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 876837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u + 0*u + 1 + 7 - 9*u**2 - 4*u - u**3. Let s be k(-9). Is s at most as big as 6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 11) to base 6.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s - 12*s + 1350 = 0. Solve -s = -164*v + 169*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/2 + 185*x\/2 - 362 = 0. What is x?\nAnswer: 4, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 888523, 1776997, 2665471, 3553945?\n\"Answer: 888474*c + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000021 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**8\/840 + b**7\/210 - 4*b**3\/3 + 8. Let s(r) be the third derivative of c(r). Factor s(j).\nAnswer: 2*j**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/24*((-11880)\/300)\/99?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let k(z) = 5420*z**2. What is k(x(a))?\nAnswer: 21680*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161 - 329*a - 269*a + 442*a wrt a.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 274851*o - 33487170 = 0. Calculate o.\nAnswer: -91495, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/253)\/(16\/48)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-7152.\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83281*g - 83137*g - 3888 = 0 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 53*b**2 - 151*b + 1510. Calculate t(55).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 + 993 + 2*v - 191.\nAnswer: 2*v + 1021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01211 and -4.\nAnswer: -0.04844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 29 = -52*w + 61*w, -3*w - 7*s + s - 1 = -2*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2938\/21223 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaanaaan. Give prob of sequence anaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -d + 16, -12 = -4*d + 2*d + 3*b. Suppose -4*w - w = a - 18, d = 3*w + 4*a - 21. Let v(i) = i**3 - 4*i**2 + i + 1. Give v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -615*g**2. Let y(t) = -t**2. What is y(s(k))?\nAnswer: -378225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r - 2 - 26 + 2.\nAnswer: 39*r - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 108. Let w = 93.941 + u. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjvpjkvpkkvk. What is prob of picking 1 p and 2 v?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4 - p - p**3 + 2 + 1. Determine a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*102\/238\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68231 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 2.1. What is the third smallest value in 17, 0.3, i?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1020202?\nAnswer: 1020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n**2 - 4*n + 3. Let r(q) = -q**3 + 4*q**2 - 2*q - 2. Let l be r(2). Is k(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.266 * -647.\nAnswer: -819.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 2*z = -38*c + 18, 4*c = 3*z + 23. Let v(r) = r - 10. Determine v(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 at least 1577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 487 and 5.\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - 22)*2\/(-4). Solve i*f - 8*f = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:42 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + a)*(13 + 5 - 8).\nAnswer: 10*a - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 216485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-5 + 12)) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 399166.7 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1609 divided by -6.\nAnswer: -1609\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16453 + 16452.99. Which is the nearest to 0? (a) -53 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328613 by -1.\nAnswer: 328613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(2\/17)*x**(-3)*x*x**(1\/8))\/((x**(-2\/7)\/(x*(x**(1\/5)*x)\/x))\/((x*x*x\/x**(-4))\/x*x**(-3))) assuming x is positive.\nAnswer: x**(11867\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 6 = 0. Let d be 1 + (3 - (k + -3)). Let x be -2 + (-1 - (-1 - 0)). Sort 5, x, d.\nAnswer: x, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3*g + 3*g**2 - 3*g) - 3*g**2 + g**2 + 6*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (((-8160)\/(-176))\/51)\/(3\/(-165))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1743345*l*n**3*r - 2348*l*n**2 + 2*l*n*r - 2070*l*r + 8*n**3*r wrt n?\nAnswer: -10460070*l*r + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpdj when four letters picked without replacement from jdpnm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 13, v: 5}. Give prob of sequence vyv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 - 807979*y - 807979. Determine f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wab when three letters picked without replacement from {b: 1, d: 2, a: 1, w: 4, i: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35702 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((0\/4)\/(-3))\/2)\/(-3). Suppose -5*f + 14*f - 198 = o. Solve 25 = -f*y + 17*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -36, 15, 1, 0, 352 in decreasing order.\nAnswer: 352, 15, 5, 1, 0, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chx. Give prob of picking 1 x and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1292803937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**4 + 102*w**3 + 108850*w - 4970*w - 11*w**4 - 6636*w**2 - 510384 - 3*w**4.\nAnswer: 2*(w - 14)**3*(w + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2731, -2581, -11435, -23831, -39769, -59249?\nAnswer: -82271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 12:59 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 447?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 238*b**2 - 3273*b + 134. Let r be n(13). Determine o so that -7\/2*o + r - 1\/2*o**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-382)\/6*137)\/2. Let j = g + 4346. Find the common denominator of j and 25\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 8*w - 1. Let l be (-18)\/4 + (-3)\/(-2). Let z(q) = -q**2 - 6*q - 5. Let c be z(l). What is the units digit of r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899890673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2803*r = 1562*r + 355*r - 590000 for r.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 4865 = 3*o, 15 = 5*o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16670?\nAnswer: 2, 5, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1546, -3089, -4632?\n\"Answer: -1543*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**19*c)\/c*c**(-9))\/(c\/((c**(1\/11)*c)\/c)*c*c**(-3\/4)\/c*c*c) assuming c is positive.\nAnswer: c**(345\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 6*w**2 + 6*w + 6. Let j = -449 + 451. Let h(x) = -280*x + 281*x + 1 + 3*x**2 - 4*x**j. What is 12*h(n) - 2*o(n)?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 + 267*t**3 + 3147*t**2 - 267*t - 3150 = 0.\nAnswer: -75, -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.95 and -1.\nAnswer: 2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzqqfh. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1024176721*j**4 + 68846014*j**2 - j wrt j?\nAnswer: -24580241304*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, 3.\nAnswer: -30, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -421624 - 3?\nAnswer: -421627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 0.06?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3 - 0)\/(-1). Let n = -13\/7 - -44\/35. Suppose 0 = -0*h - h + 4*z, 0 = -2*h + 3*z + 5. What is the closest to 1 in n, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.9511 kilometers to nanometers.\nAnswer: 588951100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372 (base 9) to base 16.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 + 540860128*f + 18283104878761024 = 0. Calculate f.\nAnswer: -67607516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 8\/3)*(-3)\/(-2). Let g be (35\/14*p)\/4. Which is the third smallest value? (a) g (b) 1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-1\/3))\/z)*z)**(1\/27)\/((z**(-4)\/z)\/z**1) assuming z is positive.\nAnswer: z**(491\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 510.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-286)\/(-77) + (2 - 6). Is 0.049 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 1, h: 5, w: 3, o: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*t + 3*c, 0*c + 25 = -3*t - 5*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - (-55)\/20. Suppose 0 = -i + 4*n, -z*i - n = -9 - 4. What is the remainder when 10 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64495181 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/5 + 8*x**2\/5 + 7*x\/5 = 0?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1641 or -231.08?\nAnswer: 1641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**27*((m*m*m**(-6))\/m)**(6\/11) assuming m is positive.\nAnswer: m**(-1812\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 119.44 and -228412.987.\nAnswer: -228293.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101509430 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -18 + 14. Calculate the least common multiple of 4 and (10\/6 + w)*21.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2))\/sqrt(7) + sqrt(8)*-6)**2 + (3*(-2 + 2*sqrt(2)))**2.\nAnswer: -72*sqrt(2) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 969121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 17. Find the third derivative of 2*p**4 + 3*p**2 - n*p**4 - 4*p**4 wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/104 and 39\/10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 63 = 3*n, m + 0*n - 7 = -n. Calculate the least common multiple of 5 - 6 - -13*(-4)\/(-4) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 841?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a - 520 = 4*k, -3*k - 3*a - 390 = 0. Let v = k - -870. List the prime factors of v.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 5, 190946?\nAnswer: 190946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - -15) + (-27 - 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*y + 21 = 6, -12 = -w + 2*y. Let a(k) = 2*k + 11. Calculate the remainder when 89 is divided by a(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153333, -306641, -459933, -613203, -766445, -919653?\n\"Answer: t**3 + 2*t**2 - 153321*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, x: 2, b: 1, o: 1, j: 2}. Give prob of picking 1 b and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95715123 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 9*f - 13. Suppose 0 = 2*k - 6*k - 28. Let r be a(k). Put 0.2, -2\/3, 0.4, r in increasing order.\nAnswer: -2\/3, 0.2, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 5:42 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5429 and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h. Let x be -1*7\/((-28)\/16). Calculate the smallest common multiple of 16 and f(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9031634km?\nAnswer: 903163.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 - (-2 - (9 - 6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 0.00436\nAnswer: 0.0006976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4938 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.53773 + -0.03773. What is the fourth biggest value in k, 0.11, 1\/19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 8*g**2 + 6*g - 3. Let l be u(-9). Let h = l + -108. What are the prime factors of (5 - 10)*h\/10?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-3 + 8 - (-11 - -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125190 and 1.\nAnswer: 125190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 450520*l - 450524.\nAnswer: 4*(l - 1)*(l + 112631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2, -80 in decreasing order.\nAnswer: 2, 0, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*f - 87 = 18, -2*f - 10 = 0. Calculate the highest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1e6178?\nAnswer: -1e6178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -35*j**2\/2 - 244. Let k(v) = v. Give k(o(g)).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8869 divided by 1267.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 472 = 2*r, 0 = -3*r + 3*d + d + 728. Let z = r - 337. Let j = z - -212. What is the highest common divisor of j and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4 - p**3\/3 + p**2 + p + 728. Let m(x) = -8 + 5*x**2 + 3 - 9*x**3 + 0*x**2 - 12*x**3 - 11*x. Give 2*m(b) + 11*q(b).\nAnswer: 2*b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/84609 and -117\/18802.\nAnswer: 169218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6545 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7801.792 millimeters?\nAnswer: 7.801792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and -107.089268?\nAnswer: 107.109268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwvvv. What is prob of sequence vcv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/239344 and -167\/29700?\nAnswer: 1777129200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, e: 3}. Give prob of picking 2 e and 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47427 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h**2 + 0*h**2)*(508*h - 556*h + 2511*h).\nAnswer: 2463*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*25\/((-3250)\/(-52)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -64, -6\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770 = -2*j + 8*j. What are the prime factors of j?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26377\/21 + 3772\/3. What is y in 1\/7 + 24\/7*y**2 + 16\/7*y**3 + f*y = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31704, -38233, -44762, -51291?\nAnswer: -57820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -585b (base 15) to base 6.\nAnswer: -222505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115, -104, -79, -34, 37, 140?\n\"Answer: a**3 + a**2 + a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159769?\nAnswer: 159769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12*a - 7*a + 105 = 0, -4*q - q = a - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*d + 149*d - 1888 - 8312 = -126*d for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*((sqrt(66) - sqrt(66)*1)*1)\/(3*sqrt(6)*2)*-3*-5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236*w**2*z**3 - w**2*z + 42474*w**2 - w*z**5 - 2*w*z + 4*w - 1286*z**2 wrt z?\nAnswer: 1416*w**2*z - 20*w*z**3 - 2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n. Let p(r) be the third derivative of r**5\/12 + 11*r**2. Calculate x(p(y)).\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 111317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6985.12+-599.051\nAnswer: -7584.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4 + 86726*y**3\/5 + 225408*y**2\/5 - 20808*y = 0?\nAnswer: -8670, -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 4*p**3 + 2*p + 4*p**3 + (-100*p - 35*p - 130*p)*(-3*p**2 + 0*p**2 - p**2) as n*p**2 + w*p + g + k*p**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1437732 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -860092.179 to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -12*d + 965. Let n = 818 - 1639\/2. Which is the nearest to d? (a) 0 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 37677.\nAnswer: -1\/12559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3724 take away -6517.86?\nAnswer: 10241.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 58. Solve j = -2*a - 0*a + 5, -5*j = a - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i - 10*i**3 - 2 - 21*i in the form w*i**2 + d*i**3 + k*i + f and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*d**2 + 173535*d - 8898 = 0.\nAnswer: 2\/39, 1483\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 - 2*w**4 - 6*w**4 + (0 - 2 + 5 + 3*w**2)*(-w + w - w**2).\nAnswer: -12*w**4 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 13, -5, 3, -2.\nAnswer: -15, -5, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2\/35 (c) 2\/4519 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 17*x\/3.\nAnswer: x*(x + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1223 + -4963. Round m to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t - 18. Calculate v(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42993.\nAnswer: 3, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 18}. What is prob of picking 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let k(t) = -1225*t + 42. Let j(v) = 2448*v - 98. Let a(q) = 3*j(q) + 7*k(q). Calculate a(l(m)).\nAnswer: 1231*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6073\/15 - 405. Which is the nearest to 0.2? (a) 1 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + 3*h**2)*(2*h + 5451*h**2 - 5451*h**2 + 3*h**3 - 4).\nAnswer: 3*h**5 + 2*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -40, 4, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*x - 612, -4*v + 584 = 8*x - 3*x. Suppose -5*h - 19 - v = 0. Let l be ((-8)\/(-5))\/(h\/(-10) - 3). Solve 0*w = l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.8 + 2.8. Suppose -3*y = 4 - 1. Let p be y\/(-2) - (-2)\/(-20). Is p > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101101 (base 4) to base 5\nAnswer: -131301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1003, -4200, -9519, -16954, -26499, -38148, -51895?\n\"Answer: z**3 - 1067*z**2 - 3*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {i: 1, e: 1, n: 2, m: 7, h: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 612809.8mm?\nAnswer: 0.6128098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/7, 4\/9, 1\/18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -107?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2. Let w be 3\/9*(-12)\/2. Let n(i) = -2*i**2. Determine w*h(y) - 3*n(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32759413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 167*a**2 + 509*a - 114. Calculate y(170).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from rffffrfrrfrr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, b: 6, d: 1, a: 5}. What is prob of picking 1 g and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibninbnini. Give prob of sequence iii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17607093 divided by -6?\nAnswer: 5869031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10420, 43451, 98502, 175573?\nAnswer: 274664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.240859 rounded to 2 dps?\nAnswer: -280.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2486 or 2489?\nAnswer: 2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose 5*k - 9*k = 8. Let s = 19 - 14. Put s, j, k in increasing order.\nAnswer: k, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 2*l - 11. What is r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -103700000 to the nearest 1000000.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 59*d + 21 + 6 - 21.\nAnswer: -59*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, c: 2, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let i = -7 + 12. Suppose -i*q = -q. Put q, -2, p in ascending order.\nAnswer: -2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/30 + 5*w**2 + 2*w. Let a(l) be the first derivative of 3*l**2\/2 - 2. Give a(z(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 14*u**3 - 67*u**2 + 88*u - 36.\nAnswer: (u - 2)*(u - 1)**2*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4.6. Let w = -2 - 2.4. Let o = w - -4. Which is the closest to -2\/7? (a) o (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + 334453?\nAnswer: 334410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + 0.2. Let q = -124.12 - -1.12. Let m = 122.6 + q. What is the second biggest value in m, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(1377) - sqrt(1377))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(12\/(-4)))\/2. Let x be -1*(b\/(-2))\/2. Let l(f) = -7*f + x*f**3 + 2*f**3 - 7 + 4*f**2 - 10*f**2 - 3*f**3. Determine l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 82*g + 2169. Give w(-26).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*-22 + -9 + 7. Suppose -3*d - 27 = n*f - 6*f, -3*d = -4*f - 1. Let u(x) = -x - 8. Let c be u(-11). Sort -10, c, d in ascending order.\nAnswer: -10, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(360)\/(sqrt(8) + (sqrt(8) - (-6*sqrt(32) + sqrt(8)))) - (4*-5*(2*sqrt(45) - sqrt(45)))**2).\nAnswer: -18000 + 3*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0 + 1\/6*n**4 - 2*n + 1\/6*n**3 - 1\/120*n**6 + 1\/12*n**5 + 7*n**2. Give d(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4917308252?\nAnswer: 2, 1229327063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -403950, -403949, -403948, -403947, -403946?\n\"Answer: h - 403951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -46.3915.\nAnswer: -41.3915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -14. Suppose -s = -5*d + 2*j, -5*d + d = -2*j - 4. Does 8 divide (2\/d)\/((-4)\/(-126))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let l(x) be the first derivative of -15*x**2\/2 + x - 9. Let m(v) = 4*i(v) - l(v). Give m(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*n - 13 - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4341\/12 - (-259)\/(-148). What is the highest common factor of 45 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335 and 1280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1, -3\/10, 1.07, -0.1?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + h + 18 = 0, -5*t + 6*t - 5*h - 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -63*i**2 + 54*i - 117. Let d(t) = -3*t**2 + 2*t - 4. Determine -27*d(n) + g(n).\nAnswer: 18*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3 - 4 - 0 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 3.6 (c) 0.2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/59 in -2\/875, -12, 5?\nAnswer: -2\/875","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:26 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 8 + 12 - (14 + -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -8. Suppose g - 5*u + 11 = 0, -u + 5*u - k = g. Suppose 0 = -2*n - n + 9. What is the least common multiple of n and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899\/10128*((-2000)\/15)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10020 + 10039. Calculate the remainder when 235 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*i + 22 = 4*m, 32 = 5*m + i. Suppose -6*c + 5*j = -7*c - 26, -5*c - 2*j = 15. Let s = 25 - c. Calculate the lowest common multiple of m and s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -17. Suppose f + 198 = j*f + 2*o, -3*o = 5*f - 487. What is the remainder when f is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3960 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*g - 252 + 240, -2*g = -2*s - 18. Put 4, 1, s, 155 in decreasing order.\nAnswer: 155, 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109336 is divided by 36435?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**3 - 570*u**2 + 88*u + 15. Determine y(-44).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 662 + -601. Suppose 0 = 66*r - t*r. Which is the closest to -1? (a) r (b) 0.19 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 3*m + 32, -3*b + 15*m + 4 = 13*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b44baa (base 12) in base 11?\nAnswer: 1662296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Let j be g(3). Suppose -j*u = -u. Solve u = s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 22. Suppose 2*j - t = -2*j. Suppose -2900843 - 5099157 = j*q. What is q rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4 = -2*n, -2*n - 3*o = -n - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 471701039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -0*n + z + 4, -4*n - 4*z + 32 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13966*y**4 - 1473 wrt y.\nAnswer: -55864*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -3, 0 in decreasing order.\nAnswer: 0, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 4, y: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.75 * -3.\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7470*c**2 - 3*c - 7. Let v(o) = 7470*o**2 + 2*o + 7. Let d(u) = -5*b(u) - 4*v(u). Let a be d(-1). Round a to the nearest one hundred.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from qqeeeeeeeqqeeeqe?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(2 + (-2 - -1)). Suppose 2*v = -v + j. Solve 27 = -v*n - 5*k, 0 = -n - 2*k + 3*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 7*t**2 + 6*t + 1. Let h be d(6). Let i be h - (-26)\/30 - 2. Let k = 982 - 978. Sort k, -1, i in descending order.\nAnswer: k, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 297724*p - 22159895044.\nAnswer: -(p - 148862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h**(-2\/9)\/h*h*h)**(-12\/5)*(h**(-2)\/(h*h**7))\/((h\/(h**1*h)*h)\/h**(-3\/8)) assuming h is positive.\nAnswer: h**(-893\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -5, -3, 5 in descending order.\nAnswer: 15, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -10010010101001?\nAnswer: 10010010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 289, 579, 869?\n\"Answer: 290*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 235, 1895, 6399, 15169, 29627, 51195?\n\"Answer: 237*d**3 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let k be 1\/(-5)*(4 - 0). Which is the closest to 3? (a) k (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1088701309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30866561?\nAnswer: 11, 43, 65257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533150 (base 6) to base 11.\nAnswer: 2a73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**2 - 1. Let v(q) be the second derivative of q**4\/6 - q**3\/6 + 3*q**2\/2 + 3*q. Calculate the remainder when a(2) is divided by v(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*g**3 + 2880 + 11*g**3 + 600.\nAnswer: -70*g**3 + 3480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Let g(t) = 2*t + 3. What is the units digit of g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.3 (b) -2\/7 (c) -3 (d) 3 (e) -1 (f) 2 (g) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(637))**2 + (sqrt(637) - sqrt(637)*-4*-5) + sqrt(637) - (sqrt(637) + 1*(sqrt(637) + 2) + 0)*-2.\nAnswer: -98*sqrt(13) + 206392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 165607, 330881, 496155, 661429, 826703, 991977?\n\"Answer: 165274*m + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 152707*i + 152712*i + 8 = 0, 0 = -4*x + i - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54.23585157 and 6.\nAnswer: -48.23585157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from oovz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.675 + 2.575. Let j be 32\/(-24)*1\/16. What is the third smallest value in z, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-209*c - 564*c + 200*c)*(4 - 1 - 1)*(1 + 5 - 4) in the form b + t*c and give t.\nAnswer: -2292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**8\/20160 - v**7\/2520 - v**6\/720 - v**5\/60 + v**2. Let b(g) be the third derivative of n(g). Factor b(m).\nAnswer: -(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7667*x + 7668*x + 11 = 7*d, -4*d - 282 + 41 = 12*x + 67 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7990.206 meters in centimeters?\nAnswer: 799020.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:07 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1353\/4 - 675\/2. Let w(a) be the first derivative of 4*a + 3 + 16\/3*a**3 - f*a**4 - 17\/2*a**2. Factor w(j).\nAnswer: -(j - 4)*(j - 1)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100 (base 3) in base 10?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**8*p\/(p\/p**(-9))*p assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**7\/210 + 37*b**6\/120 + 53*b**5\/10 + 215*b**4\/6 + 364*b**3\/3 + 3832*b**2. Factor k(w).\nAnswer: (w + 2)**2*(w + 7)*(w + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 957, 1579?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1703960460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -107.9. Let r = -4\/15 - 7\/5. Which is the biggest value? (a) r (b) w (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 46. Which is smaller: g or 15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 2 = -2*y + 14*i, -i = 2*y - 6. Let h = -12 - -24. Calculate the least common multiple of y and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 319, 647, 973, 1297, 1619, 1939?\n\"Answer: -l**2 + 331*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 820425, 820283, 820141, 819999, 819857, 819715?\n\"Answer: -142*d + 820567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 16 = -6. Let l(k) = -35*k + 16. Let t(c) = -9*c + 4. Let r(n) = z*l(n) + 9*t(n). Calculate the remainder when r(-2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 5*h**3\/3 + 1526. Let i(r) = -735*r. What is x(i(w))?\nAnswer: 2701125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75204 - 3?\nAnswer: 75201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -1\/3*n**3 + 0*n**4 + 0*n**6 - 38\/5*n**5 + 185 - 31\/2*n**2 + 0*n - 1\/7*n**7. Find the third derivative of s(u) wrt u.\nAnswer: -120*u**3 - 912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*q + 11 = 3*q, -l = 5*q + 2. Which is the third biggest value? (a) 2\/5 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*a - 12. Suppose a*y + 963 = -5*u, -3*y + 581 = -3*u - y. Let s = u + 356. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 4. Let x be s(2). Suppose -3*h - 14 - 2 = -k, -2*h - x*k - 34 = 0. Let a(l) = -l**3 - 7*l**2 - l + 5. Does 3 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g - 20 = 0. Suppose -58*p + 48 = -46*p. Suppose 0*f + g = p*f. Is 1 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 + -89. Suppose -6*n + 67 = -u. What is the highest common divisor of n and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/3 - 15*w**2\/2 + 7*w. Let u(b) = 4*b + 31. Let t(d) = 7*g(d) + 3*u(d). What are the prime factors of t(-13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46013 less than -59196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 2691 + 18209 = 7393 for j.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 147?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-3\/4)*u)))**(-5)\/((u*u**(-1\/3))\/u*u)**(1\/2))**28 assuming u is positive.\nAnswer: u**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2069 + 2102 = -4*n, -2*n = -2*r + 24 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 20*p**2\/3 + 43*p\/6 - 41\/3.\nAnswer: -(p - 41)*(p - 1)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 368 - 332. Let k = 0 - -103. What is the remainder when k is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26096 and 1904.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -595329?\nAnswer: -1785987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 50*d - 28. Let r be a(-16). What is the first derivative of 7*g**r - 268 + 240 - 2*g**4 - 5*g wrt g?\nAnswer: 20*g**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f36b (base 16) to base 3.\nAnswer: 10011110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*4 + -3 + -4.\nAnswer: -7 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2630*s**6 + 975*s**2 - 2*s?\nAnswer: -315600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 12121222102012?\nAnswer: -12121222102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42654053 rounded to four decimal places?\nAnswer: -0.4265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**2\/2 + 2*m - 1. Let x be (81\/36)\/((-2)\/(-8)). Suppose -3*k + 4 - 7 = -w, 5*k - x = -3*w. What is s(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (-3 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o = -167*o - 492 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12892 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f - 6 = 0. What is the common denominator of (819\/(-60))\/(-13)*(-156)\/14 and 2\/(-27)*78\/f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26655389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7 = -3*d, 3*d = -d - c - 19. Let n(j) = 11*j**2 + 2*j**3 - 5*j**2 + j**3 + 7 - 5*j - 2*j**3. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.004, -16 in descending order.\nAnswer: 0.4, 0.004, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -31. Let g be (0 - (-9)\/330)*12\/w. Put 0, g, 0.5 in ascending order.\nAnswer: g, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 3. Let i(z) = 21*z - 11. Let u(w) = 2*i(w) + 9*s(w). Let n(x) = -7*x + 10. Let g(b) = 3*n(b) - 5*u(b). What is the derivative of g(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 485, 1738, 4215, 8324, 14473, 23070?\nAnswer: 34523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o**3 + 2*o)*(-4 + 2 + 5 + (2 - 2 + 2)*(-3 + 2 + 2) - 2 + 1 + 3 + (2 - 2 - 2)*(0 + 1 + 1) + 0 - 3 + 2).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 0, 0*o + 2 = -2*o - 4*l. Suppose -4*t = o*u + 13, -5*u - 3*t = -0*t + 11. Let d = 19 + u. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5*j**4 + 14 - 1)*(-j + 2*j + j) + (j - 3*j + 3*j)*(j**4 + j**4 + 0*j**4) + 2*j**5 - 5*j**5 + 0*j**5.\nAnswer: -11*j**5 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 6, y: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91921*f + 88 = 91929*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 47 = -5*a. Suppose 2*g - a = 3. What is the greatest common divisor of g and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -554 from -570864000.\nAnswer: -570863446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/72 (c) -2 (d) -4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 + 403. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(15)\/sqrt(12).\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 - -157. Suppose -u + x*u - 6692 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 30*w + 35. Let v(l) = l**3 + 13*l**2 + 12*l + 16. Let r be v(-12). Let d be s(r). Sort -3, d, -10, -4 in descending order.\nAnswer: d, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/2))\/(y**0\/y)*(y*y\/(y*y**(-1)*y))**(-44))\/((y**(-1))**(-27)*y**(-1\/7)*y**(-2\/7)) assuming y is positive.\nAnswer: y**(-967\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let k be (3\/(-27))\/((-3)\/6). Which is the closest to y? (a) 2 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932591*q**2 + 21*q + 3 - 932584*q**2 - 3.\nAnswer: 7*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135 - 1?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.221 + 5.43. Round w to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*j - 530*j - 10169 - 2959 = 8061 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291, 0, -3, 4, -4 in decreasing order.\nAnswer: 4, 0, -3, -4, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20597 at most as big as 20594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyyiwlywiyffyy. Give prob of sequence ylwy.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1447\/(-342) - (-5 - 0 - -1). Let g = z + 1\/114. Which is the fourth smallest value? (a) g (b) 2\/15 (c) 9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let r(l) = 4*l**2 + 5*l - 1. Let a(x) = -i(x) - r(x). Let c(p) = 7*p**2 + 11*p - 2. Determine 11*a(t) + 6*c(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 359 = -5*a, 3*a - 194 + 755 = 5*c. Solve 21*v - c = 18 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, v: 3}. What is prob of picking 2 v and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1112335 + -13?\nAnswer: -1112350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.81 or 251780?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -58, 2183?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44342523*y - 34955754 wrt y?\nAnswer: 44342523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/5)\/(q*q*q*q**(-3\/5)) assuming q is positive.\nAnswer: q**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 362324 smaller than 5268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 72770022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 296*c - 8. Let s be d(2). What is the highest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3156745*l**2 - 5807812 wrt l.\nAnswer: 6313490*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - 13247770?\nAnswer: -13250132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 13 + -7 + (10 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 29*v**2\/2 - 28*v + 12091. Determine z(4).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:49 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:36 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.8 - -22. What is the second biggest value in -4, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (190\/20)\/(1\/(-3)) and 115\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*s + 2*t, -7*s - 102*t - 10 = -103*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) -1121 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*n + 8, -4*i = -n - n - 56. Suppose 0 = 4*m - 0*m + 224. Let f = m - -120. What is the greatest common divisor of i and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8816.14 + 1.1736512.\nAnswer: -8814.9663488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657846*r + 329178*r + 329051*r.\nAnswer: 383*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17739774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 21*x**5\/5 - 1926*x**4\/5 - 28818*x**3\/5 - 50664*x**2\/5 + 60597*x\/5 + 4158 = 0.\nAnswer: -11, -3, -2\/7, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65139 is divided by 21713.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -30, 1\/5, 9, -1\/12, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from caaaaaaaaaaaaaaacaaa.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (5 + -3 + (-4 + 8 - 6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.4 - -15. Let z = a + 3. What is the third smallest value in -2, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 59 - x**3 + 8*x - 391*x**2 - 8*x + 383*x**2 + 7*x. Let r be g(-8). Solve r = -5*c + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o, 0 = -88*h + 86*h + 2*o - 28. Let p(b) = -b**2 - 7*b + 20. Give p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y + 11*y**2 - 16652 + 16652 + (3 + 0 - 2)*(-y + y**2 + y) in the form g*y**2 + o + f*y and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2598*d + 8770*d + 1461020 = -289*d - 938*d for d.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-3))\/15*(-1)\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 129. Let j be p(26). Solve -2*q + j = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 4*r**3 - 2*r**3 + (1 + 2*r**3 - 1)*(-3 + 3 - 4) + 13*r + r**3 - 13*r)*(-3 + 4*r + 3).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*y**3 + 13 - 25 + 12 + 290*y**3 + 279*y**3.\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d - 8. Let v be h(-6). Let l be (16\/(-5))\/(v\/10). Find the common denominator of 12\/l - 386\/40 and 27\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46171*l - 1056021 with respect to l.\nAnswer: -46171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*1)\/((91\/13)\/(-7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 709039664*i + 62842155640654112 = 0. What is i?\nAnswer: -177259916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (159\/477)\/(1\/18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n**2 - 7*n. Let a(x) = 5*x**2 + 4*x. Let v(q) = 5*a(q) + 3*p(q). Let y(u) = 3*u - 5. Let z(f) = -4*v(f) - y(f). What is o in z(o) = 0?\nAnswer: -1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 25.4. Let b = -1.42 - 0.18. Let k = l - b. Sort 0, -1\/4, k in ascending order.\nAnswer: -1\/4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + 0.1. Let x = -1.2000073 + q. Round x to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 18) + -17 + 4 + -3 - 32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-28)\/(-15))\/((-2)\/6). Put 0.08, 0.2, p in ascending order.\nAnswer: 0.08, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9760840 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265230*h - 80190*h - 97936*h + 749872*h.\nAnswer: 836976*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1702475803 + 3\nAnswer: 1702475806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/28)\/((-6)\/21). Let z(k) = 5*k**3 + 5*k**2 + 1. Let n(b) = -b**4 + b**3 + b**2 + 1. Let f(t) = c*n(t) - 2*z(t). Solve f(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -29. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 10*q - 21. Let a be u(-7). Which is greater: a or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0772138 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) - (1 + sqrt(17) + -3 + sqrt(17))) + sqrt(68)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 4*x, x = -r - 2. Let j = 10.8 - -10. Let b = -21 + j. What is the closest to 0 in b, r, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297789627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.296 minus -6610993?\nAnswer: 6610992.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*j + 99. Let u be (-6)\/(-9)*j\/14. Let l(o) be the first derivative of o**3\/3 + o**2\/2 - 4*o + 10. What is l(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3372714?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -84. Suppose 0 = -3*b, -4*b + a*b - 4 = -i. Solve i*y - 2 + 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 614 + -4295\/7. Sort m, -3, -1\/5, -0.04.\nAnswer: -3, -1\/5, -0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let o = 0.13 + -0.03. Which is the biggest value? (a) k (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 24598 + 23003. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2. Let y(j) = -16*j + 200. Give y(v(t)).\nAnswer: -48*t**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1012 + -1016. Sort 1, j, -1\/15, -2\/3.\nAnswer: j, -2\/3, -1\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 + 7239*t + 4. Let k(w) = -2*w. Calculate q(k(n)).\nAnswer: -16*n**2 - 14478*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -1.3. Suppose -12 = -4*k + 4*y, -5*y = k + 4*k + 15. Let v be 0 + k + (-1)\/(-4). Sort 2, v, z in increasing order.\nAnswer: z, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.757 - -0.243. Let d = v - 114. Which is the closest to 1? (a) -46 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2213*h + 2215*h - 1798. What is the remainder when h is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f + 10*f + 156. Let p(x) = 1. Let a(m) = -m + 2. Suppose v + 1 = 0, 3*g + 4*v = -1 - 0. Give f*p(u) + g*a(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 32. Let y(i) = 3*i + 4. Let b be y(d). Solve 5*q - f = 4 + 15, 4*q + 3*f = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4585 + 17127. What are the prime factors of o?\nAnswer: 2, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 26 = -0*r. Let m = r + -7. Is (4\/(-6))\/(m\/(-603)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 473662 - -253?\nAnswer: 473905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 83 - 43 = 0. Let w = t + -30. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.63616mm in micrometers?\nAnswer: 38636.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*o**2 + 90*o**2 - 45*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 - 145*o**2 - 135*o - 3494. Calculate p(-36).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2486 - -2485.99998817. Round w to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*z - 33*z + 86*z - 6*z to the form g + l*z and give l.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 2*r**2 + 45*r + 24. Calculate the remainder when 302 is divided by f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75792607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 4. Let l be c(-3). Let s = l + 5. Suppose s + 3 = 3*g. Solve -5*k = -g*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1211 - 1207. Which is the nearest to z? (a) -0.05 (b) -1\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 12. Let p be -4 - -2 - -5 - -11. Let n = p - g. Calculate the least common multiple of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2710 + -2708. Solve -m*d = -3*t + 2, 38*d + 6 = 36*d + t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 - 218.2?\nAnswer: -217.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 111, 109, 117, 141, 187?\n\"Answer: y**3 - y**2 - 6*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o + 94*o + w = -6, 0 = -o + 10*w + 60. Solve o*r = -16*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 14. What is the lowest common multiple of 15 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12483091 to 3 decimal places.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-5\/3)))\/(d**(-5)\/d))\/(d**0)**(-47) assuming d is positive.\nAnswer: d**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/2 + 11*r**3\/2 + 5*r**2\/2 - 47*r\/2 + 15 = 0.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101406346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 10*c**2 - 12*c - 7. Let m be i(-11). Let g(p) = -5*p**2 + 5*p**2 - 3 - 5*p + 2*p**2 + 0*p**2. What is g(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 8*d**2 + 6*d + 5. Let s be r(7). Let u(a) = -21*a**2 + 4*a - 5. Let q(w) = -20*w**2 + 3*w - 4. Let j(n) = -6*q(n) + 5*u(n). Is j(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13472 and 60.\nAnswer: 202080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00307 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/4 + 571*j**4\/2 + 6458*j**3 - 65304*j**2 + 139680*j = 0.\nAnswer: -30, 0, 4, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -12*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.4 - -46. Let u = -4 - j. Let c = u + -0.3971. Round c to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 6:27 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1292 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (2*sqrt(891) + 0 + (sqrt(891) - (sqrt(891) - (4 + sqrt(891)*-1))))*3 + (-1*sqrt(891) + -2)*2*1)**2.\nAnswer: 270*sqrt(11) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 18*f + 22. Give g(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72901\/4294197 + -2\/72783. Let f = 1 - 1. Which is the second biggest value? (a) f (b) 3\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 6 - 33 = 0. Let b(t) = t**2 - 4*t + 4. Let r be b(h). Does 8 divide ((-2)\/(4\/(-35)))\/(r\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7456663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -5. Calculate the common denominator of -145\/6 and 69*4\/b + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g = -8*g - 156 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i + 10. Let g be (i\/3)\/((-2)\/36). Suppose -4*t = -3*s + 308, 0*s - s + 104 = -t. What is the greatest common divisor of g and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3)\/(8\/12). Suppose 153 + 1 = x*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-20) - 42\/(-40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 25?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:35 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.81 + -0.81. Let n = 12.8 - 13. What is the nearest to n in -0.4, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3579298169.\nAnswer: 2857, 1252817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(5040)*1)\/(sqrt(180)*4) - (3 + ((sqrt(294)\/sqrt(6))\/sqrt(7) + sqrt(1575)\/sqrt(9))**2).\nAnswer: -255 + 13*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119134 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 210523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 420 = -0*i. Suppose 3*p = 3*z + i, -4*p + z + 140 = 3*z. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -1\/6*d**3 + 0*d**2 + 0 - 3*d. Let r(z) = 3*z**2 + z**2 + 1734*z - 882*z - 852*z. What is r(j(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 10 = 20*r - 9*r - 17*r, 4*r + 0*m - 5*m = -24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/(1\/(-10)). Let i be -2*u\/10 + 3. Solve i*r + k = 0, 5*r - 3*k - 2*k = 30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**3 + 4*b**3 + 3*b**3 + (3*b**3 + 2*b**3 - 7*b**3)*(1 + 0 - 6) - 15*b**2 + 2 + 15*b**3 + 15*b**2.\nAnswer: 26*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*w. Solve -w*p + 8 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 1780 - 190. Let y = -48 + u. Solve -5*t - 4 = -2*z - 19, t - 26 = y*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 35*r**2 - 13*r - 76. Does 13 divide d(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 745787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from oiniyynyonyyyynnny?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/2 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose i - 4*w - 13 = 0, -3*w + 4 = 3*i - 5. Suppose c = -5*j - i*y + 33 - 8, y = j - 15. Solve j = 2*a, 0*a - 5 = 4*u - a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 796812607 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 2*u**5)*(5 - 4 + 1) - 2*u**5 + 3 - 3.\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*(a*a**(-1\/6)*a)\/a*a))\/a*a*a)**(-1\/2) assuming a is positive.\nAnswer: a**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3219*d = 3173*d + 184. Solve 0 = 4*o + d*r - 8, -6*o + 4*r = -11*o + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + b?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 1 + 3 - 3*l. Let c be x(6). Let b be c\/(-4) - 7\/(-2). Solve 8*d = b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -5903?\nAnswer: -3\/5903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from yvnvoyvnnno.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383602?\nAnswer: 2, 191801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -4, 49, -1505 in ascending order.\nAnswer: -1505, -4, 38, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -22. Let d = 1.6 + -2. Let u = 2.2 + -2. What is the second biggest value in l, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*n + 151420 = 0, 11*n - 151390 = -3*x + 10*n. What are the prime factors of x?\nAnswer: 5, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159817 is divided by 6652.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15. Suppose 0 = 3*a + 3*a - q*a. Which is greater: a or -3\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 62496.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*m = -816*m + 11340 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a + 2 + 6*a + 2*a. Let i(y) = -105*y - 15. Let b(d) = -2*i(d) - 15*v(d). Let w(r) = -2*r**2. What is w(b(l))?\nAnswer: -450*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512\/73 at most 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t**3 + 8*t**2 - t - 5. Let b(g) = 25*g**3 - 13*g**2 + g + 9. Calculate 3*b(p) + 5*o(p).\nAnswer: 5*p**3 + p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.26 + 20.99. Let x = b + -9.579. What is x rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 14*m + 21. Let s be b(9). What is the greatest common factor of 330 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 115.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2942076027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -644.4 - -0.55\nAnswer: -643.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2951712 = -94*o + 1872083 - 1323799. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 10*u + 6. Let x be 9\/18*(-18)\/1. What is the remainder when 58 is divided by a(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20606, 20271, 19714, 18935, 17934, 16711?\n\"Answer: -111*l**2 - 2*l + 20719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/(-741))\/(30\/(-30))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 196 - 541.099\nAnswer: -345.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2356734 and -113\/7070.\nAnswer: 82485690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10797 (b) 0 (c) 2\/9 (d) -84\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2042432121 (base 5) to base 14.\nAnswer: -7d0269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17044255 to the power of 1\/2, to the nearest integer?\nAnswer: 4128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 + -165. Suppose -5*d + 5 = 5*t, -3*d + t - 4 = -23. What is the third derivative of -63*n - 8*n**l + 63*n + d*n**3 wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21c + -20?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - (4 - -17)) + 57 + -87?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/37 - 64\/185. Let i = 79.799 - 0.299. Let x = 80 - i. What is the second smallest value in m, x, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/7 + 366*h**4\/7 - 1086*h**3\/7 + 1082*h**2\/7 - 360*h\/7 = 0.\nAnswer: 0, 1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -48b15 (base 12) to base 11\nAnswer: -679a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4104, -9498, -23100, -36702, -50304?\nAnswer: -63906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-171)\/27)\/((-4)\/444). Calculate the greatest common factor of z and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34461 + -34423. Calculate the remainder when 2667 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 4*x**2 + x - 1. Let u be v(-4). Suppose -u - 40 = -3*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758983111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136256 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 8*n**3\/9 - 2170*n**2 - 171518*n\/9 + 4900 = 0.\nAnswer: -9, 1\/4, 2450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x + 16. Let h be -2 + 20\/(-28)*-7. Sort -0.1, h, x, 0.3 in decreasing order.\nAnswer: h, 0.3, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 1985695*l + 230273340.\nAnswer: 5*(l - 397023)*(l - 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-880)\/96) + ((-8)\/(-16))\/(6\/(-254))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3658520?\nAnswer: 2, 5, 91463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34662 and 228?\nAnswer: 1317156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16176, -16202, -16226, -16248, -16268, -16286?\nAnswer: -16302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -40 + 8. Let x be t\/12*-6*-1. Suppose -2*o - 3*q + 2 = 3, o + 4*q = -x. Sort -3, 0, o, 3 in increasing order.\nAnswer: -3, 0, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97144101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.531984 millilitres?\nAnswer: 0.000531984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 16 = 0, 709 - 710 = o + a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1, 2\/5, 177321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = -3*z, -4*n = -4*z + 8. Suppose t + 52 + 32 = 0. Calculate the remainder when 4\/(-6)*t\/8 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 11531?\nAnswer: 57655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -6 - 16) + 25 + 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1447502 + 671342492.\nAnswer: 669894990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*i + 1086 = 0, 1615 = -4*p - i + 5980. Let a be (9 - (15 - -164))*1*-23. Let h = a - p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-32))\/(((-16)\/(-24))\/(12\/90*340)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 86*a. Let n(u) = 58*u**2 + 3*u. Give n(x(w)).\nAnswer: 428968*w**2 + 258*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554572 to the power of 1\/2, to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.7388*-4.\nAnswer: 26.9552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h - h**2 - 5*h**2 - 4*h**2 + 12 + h**3. Let z be (-24)\/(-20)*(63\/6 - 3). What are the prime factors of f(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 1\/2 (c) 38\/13 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -61*r**2\/2 - 60*r - 62. What is the tens digit of u(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + ((sqrt(99) - (sqrt(99)*-4 + sqrt(99)))*-4 - sqrt(99))))\/(-1*2*sqrt(9)))**2.\nAnswer: 3179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.011 + -0.279. Let s = d + 10.29. Is 2\/11 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -44.\nAnswer: -117\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21 - 18 - 18\/(-11). Let a = 50\/11 - l. Let s(g) = g**3 + g + 1. Let w be s(-1). Is a less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3345000 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4851.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**42\/(((w**(3\/8)*w)\/w)\/w))\/(w*(w\/((((w\/(w*w**(3\/8)))\/w)\/w)\/w))\/w*w*w**23*w*w) assuming w is positive.\nAnswer: w**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**4\/24 - 139*s**2 + 2. Determine b(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.462, 2, -1, -61.1.\nAnswer: -61.1, -1, 2, 10.462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = r - 95 - 193, -1202 = -4*r + 2*y. What are the prime factors of r?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19.09 and 5.7.\nAnswer: 24.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -823083*k**2 + 902159 wrt k.\nAnswer: -1646166*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/100)\/(8\/(-40))*((-52)\/(-90))\/(-2)?\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 586*d. Suppose 11*p - 3 = 14*p. Let q be s(p). What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10888 - -108769\/10. Find the common denominator of 27\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -2*s - 10, -4*p + 20 = -3*s. Put -2, s, -5 in descending order.\nAnswer: -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -304 (b) -0.76 (c) 3 (d) 0.3 (e) -1\/165\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 at least 1052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(4)\/sqrt(2) + -2 + -2)*-5.\nAnswer: -20*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*t + 3, 6*t - t = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10528613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (243 - 243 + 4*v)*(2*v + 2*v - 2*v) + v - v**2 - v to the form s*v + o + r*v**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 4.5. Let r = 0.81 + -0.01. Let v = -1 + r. Which is the closest to 1\/4? (a) v (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + (-3 - (-9 + 19 - 16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + i - 11 = u, u + 4*i - 11 = 0. Let l = -0.7 + 0.3. What is the nearest to -1\/4 in l, 0.3, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15791, -15848, -15907, -15968, -16031, -16096, -16163?\n\"Answer: -z**2 - 54*z - 15736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + p + 43, 0 = -4*o + 3*p + 49. Calculate the greatest common factor of 50 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 - 5\/(-6). Let z = 0.01 - -2.99. Let h = 6789 - 13579\/2. What is the closest to h in r, z, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0*h**3 - 6 - 10*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31230693*w - 39209119 wrt w?\nAnswer: 31230693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1841 = -2*i - 27, 4*l - 910 = -i. Calculate the greatest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32112432 (base 5) to base 3\nAnswer: 111201000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818862 is divided by 51177.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-4720)*59*2\/(-4)*36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/16 + 2 - 1149\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 2. Let s(l) be the second derivative of -l**4\/12 + l**3\/6 - l**2 + 82*l. Let p be s(k). Sort p, 4, -5 in ascending order.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from {f: 8, k: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 13*z + 3. Let g be -10 + 6*1\/(-2). Calculate the remainder when 5 is divided by y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/696 and 71\/4444800.\nAnswer: 128899200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 419967 plus -5.3?\nAnswer: 419961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**25*y*y*y**29*y)\/(y\/y**(-4\/7)*((y\/(y**27*y))\/y)\/y))**(-30) assuming y is positive.\nAnswer: y**(-17730\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727676*m**5 + 419504*m**2?\nAnswer: -43660560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-24)\/(-60)))\/(4*(-3)\/(-9)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449 + -451. Let h = 29 + 1. Let n = -123\/4 + h. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150.6 - -151. Let x = 128 + -515\/4. What is the biggest value in q, 0, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -15*c + 6. Let d be (12\/(-8)*c)\/1. Suppose -48 = -2*s - a + 103, -d*a + 161 = 2*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 1\/3 - (188\/(-12) - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23745 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2 + 17*q - 30 = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 46, 36, 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b3 (base 13) in base 9?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n - 20 - 12 + 3)*(n - 2*n + 2*n)*(5 - 2 - 1)*(1 + 0 + 0)*(5*n - 6*n + 3*n) to c*n**2 + m + d*n**3 + a*n and give c.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + -0.06. Let d = 0.58495 - 28.58495. What is the second smallest value in d, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 1\/60*k**5 + 1\/2*k**3 + 0*k - 2*k**2 + 9 + 1\/6*k**4. Calculate b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*h**4 + 28065*h**3 - 28065*h**3 - 177*h**2 wrt h?\nAnswer: 2928*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qptp when four letters picked without replacement from ppttpujpppeqpqtp.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21574.\nAnswer: 2, 7, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 1 - 1)*(5 - 4 + 1)*(3 + 0 - 5)*(-68 - 28*s + 68) as y*s**2 + x*s + o and give y.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 142453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**14)**(6\/17) assuming g is positive.\nAnswer: g**(-78\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(10) + sqrt(250)) - sqrt(110)\/(sqrt(22)\/sqrt(2)))\/((sqrt(200)*5 + sqrt(8))\/sqrt(4)).\nAnswer: 23*sqrt(5)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10936453 (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23 (b) -5\/2 (c) 5 (d) 2\/365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28303?\nAnswer: 11, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3503522 + -5?\nAnswer: -3503530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 - 2*n + 2. Let i be 48\/64 + 18\/8. Calculate the lowest common multiple of 4 and p(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114288089*q**3 - 114288114*q**3 + 228576205*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 3)\/(-1 - 0). Solve 0 = 7*o - 2*o - 2*n - 10, -x*o + 3*n = 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2860 divided by 572.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111010100001010010000 + 1?\nAnswer: -11111010100001010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 17*l - 196. Let h be ((-1)\/1)\/((20\/l)\/5). Let r = -48 + h. What is the remainder when 4 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 3. Let x(r) = -r**2 - 8*r - 4. Let s be x(-6). Let y(j) = -1 - 7 + 2*j + j. Let u(f) = s*m(f) - 3*y(f). Let b(z) = -z**2. Determine b(u(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -106*l**2 - 1. Let s(k) = -19951*k**2. Give y(s(q)).\nAnswer: -42192494506*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let w(b) = -b - 3. What is -4*h(r) + w(r)?\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*j = -j - 70, 0 = -4*f - j + 55. Let y(p) be the first derivative of -14\/3*p**3 - f*p**2 - 18*p - 1\/2*p**4 - 4. Determine m so that y(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.623 - -2.9.\nAnswer: 2.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 7. What is the units digit of ((-6)\/(-2))\/(3\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1075, -4, 2, -3, 6, 4 in descending order.\nAnswer: 6, 4, 2, 0, -3, -4, -1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305663 to the power of 1\/2, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3290235 divided by -65\nAnswer: -50619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -5*s**8\/28 - 7*s**4\/12 - 2*s. Find the third derivative of g(x) wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.66 + -349.34. Let m = a + 352.999999364. What is m rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 11*i**2 - 9*i - 6. Suppose -5*h + 76 = 26. Calculate the remainder when 7 is divided by k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 2*n + n. Let u(k) = -5*k**2. Determine g(u(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/(-2*45\/108).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(55552\/2976)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:17 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 8457721?\nAnswer: 7\/8457721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -381 - 35. Let x = 793 + y. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (3*sqrt(1539))**2 - sqrt(171)\/sqrt(225)) + (sqrt(475) - (-5 + sqrt(475))) + 2 + sqrt(209)\/sqrt(11).\nAnswer: 49*sqrt(19)\/5 + 13858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q. Suppose q = 2*s + 5 + 9. Let b = 7 + s. Solve b = 2*v - 0*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3 - (-16)\/((-3168)\/606) and -31\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(-7)*g*g*g))\/g)\/(g*g**10))\/(g*g**(-17)*g*g**(-2\/13)))**(-5\/7) assuming g is positive.\nAnswer: g**(-530\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/23 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*l - 7*l = 3*f, -12*f = 4*l + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -1929\nAnswer: -30864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -7\/181 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128.24 - -131. Let w = 1.4 - u. Let b = w - -0.36. Which is smaller: 5\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 3*x - x + (4 - 4 - 1)*(-2*x - 25*x - 19*x))*(-8 + 8 - 6*x) to i + c*x**2 + l*x and give c.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose 4*f = b*f + 4. Calculate the greatest common factor of 14 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let a(q) be the second derivative of -q**4\/12 + 2*q**3\/3 - 3*q**2\/2 - 141*q. Let k = -51 - -91. Let g(n) = k*i(n) - 5*a(n). Factor g(u).\nAnswer: 5*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 724719?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/((-1)\/((-15)\/6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r + 1. Is -1\/22 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 59. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/21)\/(((-6)\/(-10))\/((-252)\/(-60)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let z = -59\/2 + 113\/4. Suppose p + 15 = -3*d + 2*p, 14 = -5*d - 2*p. Which is the nearest to 2\/7? (a) z (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -7*g**2\/2 - 4*g + 3. Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 18. Suppose -k*i + 77 = i. Suppose -4*l + 29 + i = 0. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 15 = 0, 0 = 27*b - 32*b + 2*z - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -0.2, -2\/15.\nAnswer: -0.2, -2\/15, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3170 and 8559?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472514 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 15366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 7*a - 8. Let b be k(9). Suppose 1 = 3*s - p - 10, 2*s - b = 2*p. Suppose 5*j - g - 21 = 0, -2*g + 1 - 7 = -j. Put s, j, 0 in descending order.\nAnswer: j, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 times -0.3\nAnswer: -63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 18*d = -15. Suppose -1019 = -z - g, -2*z + d*z - g = 3061. Suppose 2*i - z = -8*i. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:32 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 4)*3 - 4. Which is smaller: 3\/13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p**3 + 478*p - 451*p + 43*p**3)*(p - 2 + 2) + (2*p**2 + 6 + p - 6)*(-p + 3*p - 4*p)*(3*p - 4 + 4).\nAnswer: 49*p**4 - 6*p**3 + 27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.4, -3\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5)*-3*-2 - sqrt(45)\/(-4*sqrt(9))))**2.\nAnswer: -125*sqrt(5)\/2 + 3525\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*c - 38. Suppose 0 = s - 5 + c. Which is smaller: s or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 5. Let h(a) = 1. What is -5*h(v) + t(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103*s**2 - 2*s - 95 wrt s.\nAnswer: -206*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 77*b + 5. Let o be x(0). Solve 0 = -i - a + 3 - 4, o*a = -i + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -7. Let u(q) = -7*q**2 - 2*q - 1. Let o be u(-1). Let d be (16\/o)\/((-2)\/h). Solve 0 = 4*s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 = -2. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/19)))\/(p\/((p**(-1\/7)\/p)\/p*p)))**22*(p\/((p**(2\/5)\/p)\/p*p))**(-1\/25)*(p\/(p*((p\/(p\/p**(-2\/3)))\/p)\/p))**(-37) assuming p is positive.\nAnswer: p**(-7333192\/49875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14095310?\nAnswer: 2, 5, 1409531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380 + 706. Calculate the remainder when b is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55b640 (base 12) in base 2?\nAnswer: 101001101111011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*z - 192*z = 216 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 4 (c) 0.11 (d) 9 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 25400748413.\nAnswer: 25400748412.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5060 + -5058. Solve -3*x = -2*b + 6, -6*x + i*b = -2*x + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1056 and -43\/2918016.\nAnswer: 32098176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 172. Give g(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 33*k = 30*k - 6, -18 = -5*p + 3*k for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20913 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 u(y) = -4*y + 105. Let a be u(26). Let i be (-2)\/((24\/(-567))\/(-4)). Let z be 4\/18 - (-96)\/i. Are a and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/352 + 50\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 1692367176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 1646*g**2\/3 + 226324*g - 450456.\nAnswer: (g - 822)**2*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202857*i - 202848*i - 202841*i + 811424*i - 202861*i.\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -86*y + 31. What is the tens digit of v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 4. Let q(d) = -d**3 + 17*d**2 - 14*d - 35. Let z be q(16). Let f(m) = -m - 3. Calculate z*a(t) + 4*f(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 + 5*p + 2. Let f be i(-3). Let y = 98 - f. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*(-4 + 2 + 4)*(8 - 6*t**3 - 8) + 4*t**3 - 2*t**3 - t**3 - 496*t**2 - 18*t**3 + 496*t**2 to o*t**2 + a + n*t**3 + s*t and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a factor of 61075657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-304296))\/(2\/512222). Let c = f + -2\/12679. What is the common denominator of -107\/18 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -18*y**4 - 5*y**2 - 205*y. Let s(m) = 6*m**4 + 2*m**2 + 69*m. Let g(f) = -4*o(f) - 11*s(f). Find the second derivative of g(t) wrt t.\nAnswer: 72*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = 8*r - 119 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039458 is divided by 529?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-15) - 8\/3. Let c = s - 1. Suppose -v - 3*v - 12 = 4*y, -y + 1 = -v. Do v and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 460184 + -231777. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 1, z: 12}. What is prob of picking 3 z and 1 s?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 59*n + 54. Determine s(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 2, p: 2, c: 2, d: 1, v: 5}. What is prob of picking 1 v, 1 c, and 1 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 430\/258*6\/5. Solve -2*y = -5*k + 5, -4*k + i*y = -6 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/6 + 29*p**3\/3 - 120*p**2 + 1390*p. Factor f(m).\nAnswer: -2*(m - 24)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 - 5*j**5 - 2*j**5 + (-j + 0*j - j)*(5*j**4 + 10*j**4 - 4*j**4) + 0*j**5 - j**5 + 3*j**5.\nAnswer: -23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(-4*sqrt(12)\/sqrt(4)))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/14)\/((-2)\/(-8)). Let x(p) = 3*p. What is the remainder when 16 is divided by x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-47)\/423). Let n be 6\/1 + 8\/(-8) + m. Solve 6 = -2*u, n*b - 3*b + 14 = -3*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 0)*-6*-3)**2 + sqrt(396)*6 + (1 + sqrt(99))**2 + 1.\nAnswer: 42*sqrt(11) + 431345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -31*n - 2. Let j(o) = 70836*o - 70836*o - 10*o**2. Calculate j(b(l)).\nAnswer: -9610*l**2 - 1240*l - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -62449407507759?\nAnswer: 62449407507759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71664, 71059, 70454, 69849, 69244, 68639?\nAnswer: 68034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.70692ng to milligrams.\nAnswer: 0.00008870692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*b**28*b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 79. Solve 0 = m*p + 2*n + 5 - 3, 4*p - n = -17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/738001 or 0?\nAnswer: 2\/738001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -597 + 597. Put 4, y, -3 in ascending order.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/11)\/f*f*(f\/f**(1\/25))\/f)\/(f**(4\/3)*f**(-16)) assuming f is positive.\nAnswer: f**(11767\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/82997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448 and 224?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:51 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 56. Let m be -7 + 4 + f + 2. Suppose w = -3*w - m. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -10, 3, -3 in decreasing order.\nAnswer: 3, -3, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u - c, 7*u - 2*u - 2*c - 8 = 0. Let p(r) = r**3 - 6*r**2 + r - 7. Let i be p(6). Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/965119251?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = 3*n - 4*n, 5*u + 36 = n. Let m = -3 - u. Suppose m*j - 9*j = 0. Solve -3*w - 1 - 14 = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, c: 1}. Give prob of sequence ci.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32174 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/(11\/34254). Suppose 4*x = j + r, -4*x - 50 = 2*j - 1082. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*z + 6. Suppose 2*q = -c + 5, -q + 3*q - 8 = z*c. Suppose -4*u - 2 = -q*b + 24, u = 5*b - 15. Solve -3*j + 10 = b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 550?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2271807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 2*d - 5*p - 2359, -2*d - 4*p + 2104 = 0. Does 66 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6 and -22\/5117?\nAnswer: 30702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 + -0.183. Let v = g + -1.8. What is the smallest value in 3, v, -0.8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40501.35ml in litres?\nAnswer: 40.50135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1508*o - 2616*o + 14241 + 69188 = 13321 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 44819*h**2 + 88. Let p(n) = -3077572*n**2 - 6039. Determine -549*l(k) - 8*p(k).\nAnswer: 14945*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16184 - 2793250715\nAnswer: -2793234531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - -9 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 7 - 10) + -5 + (-11 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40768 = -11*o - 17*o. Is 6\/((-4)\/(-2)) - (-78 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -403.4 - -403. Let w = -0.44 - -0.25. Let h = w + 0.01. Which is the smallest value? (a) r (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39981991 divided by -70021?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, -1, 47, -4 in ascending order.\nAnswer: -12, -5, -4, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -10\/11*o**3 + 0 + 1\/66*o**4 + 225\/11*o**2 + 7*o. Find c such that m(c) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -229923, -459824, -689725, -919626, -1149527?\n\"Answer: -229901*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 1. Let w be s(1). Let v be 20\/(4\/104*2 + 0). Is (v\/(-15))\/(w\/24) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-84) + ((-10)\/14 - -1). Suppose l = -3*b - 3*s + 114, -2*b + 3*s = -s - 46. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-18))\/((-2)\/(-6))*(-638)\/(-44).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 41 (c) -1\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - (-69 + 21)) + 29?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 12:45 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 265119*h**3 + 11138526*h**2 - 155955828*h + 727832280.\nAnswer: -3*(h - 14)**3*(h + 88415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 95*j - 97*j - 4*d, -3*j + 37 = -5*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 3670. Let q(o) = -o. Calculate h(q(t)).\nAnswer: t**2 - 3670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8619 = -4*b + 493. What are the prime factors of b?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 52\/(-6)*(-24)\/112\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(700) + 1) + 1 - ((sqrt(448) + 4)*-3 + 5))**2*4.\nAnswer: -576*sqrt(7) + 36304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d. Let b(c) be the first derivative of c**3\/3 - 3*c**2\/2 - 3. Let y(t) = -5*b(t) + 8*g(t). What is the second derivative of y(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3172\/(-28) - -2 - (-10)\/35. Let v = 136 + w. Calculate the remainder when 41 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124.5 + -125.031. Let s = -0.179 + c. Round s to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3097, 5092, 7073, 9034, 10969, 12872, 14737?\nAnswer: 16558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 250556, 250495, 250340, 250043, 249556, 248831, 247820?\n\"Answer: -8*u**3 + u**2 - 8*u + 250571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 102 - 98 = 0. Let q be 4\/(-2)*20\/s. Is -1\/15 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010 at least as big as 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z - 8. Let n be u(1). Solve n*r = -a + 6, -r - a = a - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 1\/4 (c) 1\/5 (d) 37 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -46*a + 22*a - 5 + 26*a + 3. Suppose 0 = -0*l - l + 8. What is v(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16124753300 to the nearest 1000000.\nAnswer: 16125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 15. Let m be n(-10). Let p = 963\/2 + -484. What is the fourth smallest value in m, -1, -0.6, p?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -636*m - 647*m + 1287*m + 709 to the form y*m + c and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*z = -776, -26*z + 21*z = x - 186. Calculate the remainder when x is divided by 67.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 - w - 5. Let q be s(-5). Let j = -273\/4 - -103\/12. Let r = j + 3049\/51. Which is the nearest to q? (a) 4 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26685707 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2 + 769*p + 14582. Determine b(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -1.2. Let q = 10 + -6. Let h be q\/(-6) + 51\/36. What is the third smallest value in h, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d + 52*d - 4587 - 4613 = 0. What are the prime factors of d?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - 2*d. Suppose -2*z + 7 + 17 = 0. Calculate the smallest common multiple of z and p(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 1 = -5*c - 4, d = -5*c - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 155244*a - 43544603 = 0 for a.\nAnswer: -154963, -281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, 2363, 11992, 31827, 65270?\nAnswer: 115723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 16. Let h be s(19). Let c = 33 + h. Let y be c\/1 + 3790\/(-5). What is y rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/522099 and -127\/580110.\nAnswer: 5220990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 - 199. Let g be a*(14\/(-20) + (-1)\/(-5)). Suppose 2*y + 2*k - 42 - 184 = 0, 0 = 2*y - 4*k - g. What is the highest common factor of 44 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 6. Let t = -8 - a. What is the second derivative of -4*m + 3 - t + 3 + 4*m**5 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 78*l**2 + 20*l - 8. Let i(q) be the second derivative of -13*q**4\/6 - 7*q**3\/6 + 3*q**2\/2 + 4*q. Let x(c) = 8*i(c) + 3*k(c). Factor x(n).\nAnswer: 2*n*(13*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6271.\nAnswer: 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 51, 65, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7235.642 hours in minutes?\nAnswer: 434138.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 674 (base 8) to base 5\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 12048654.\nAnswer: 84340578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbzb when four letters picked without replacement from {e: 1, z: 2, q: 1, f: 2, p: 4, b: 5}.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 48 = 2*f. Suppose 581 = 24*x + 29. Let y = f + x. Put y, -0.4, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 200*m = 264*m + 88*m - 81315 for m.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258009686?\nAnswer: 2, 11, 11727713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(18)\/((sqrt(441) + sqrt(441) + (sqrt(441) - sqrt(441)*1) - sqrt(441)) + sqrt(441)).\nAnswer: -4 + sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 18*q**2 + 19*q + 2. Let c be j(19). Suppose 5*d + 377 = 2*v, -c*v + 0*d + 386 = -2*d. Suppose -y + 151 = -v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930602594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 19, 0, 34, 2, -5 in decreasing order.\nAnswer: 109, 34, 19, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdttdtdttttdd. What is prob of sequence dddt?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = -5*y + 35, -3*y - 5*m + 5 = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {h: 2, b: 2, v: 4, t: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:17 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46782644 to the nearest integer?\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*s + 2. Suppose 4 = -5*k + 3*d, -2*k - d = -6 + s. Let w = k - -2. Solve -w*m - 5 = 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11885.12ml?\nAnswer: 11.88512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -29\/528259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 19 + 10 + -22\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g. Let a(c) = 0*c + 3*c + c - 3*c. What is d(a(j))?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 11. Let r(i) = i + 1. Let n(a) = -3*c(a) - 21*r(a). Let g be (-10)\/(-35) + 5\/((-175)\/45). Let s(l) = 1. Give g*n(k) + 12*s(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/29 in -3\/5, -3\/14, 32?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2300 - 414423313?\nAnswer: -414431113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 134 = 132. Let w(g) = g + 16. Let x be w(l). Suppose 6*n = x*n. Solve v + 4 = -n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)*w)\/(w**19*w))\/((w\/w**24)\/(w**9\/w)) assuming w is positive.\nAnswer: w**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - m - 3. Suppose -4 = -2*t - 0. Suppose 2*z + t*z = 3*o + 95, -65 = -3*z - 4*o. Calculate the remainder when z is divided by u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*h = 11, -2*j = -3*j - 3*h + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w - 2. Let b be g(-6). Suppose 2*i - b*i + 254 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -3*z, 2*z + 24*x = 23*x + 6. Let o = 7 - 3. Let p(i) = -5 + 3*i**3 - 4 + 5*i**2 + o. Let k(q) = -q**3 - 2*q**2 + 2. Determine z*p(a) + 5*k(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 137*l**2 - 1823*l - 266399. Give b(-136).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 + 3 - (7 - (15 - 9)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683 (base 9) to base 15.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 2*k + 2. Give v(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 27*y - 10. Let j be a(-23). Let d be j\/(-1)*3850\/21. Round d to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 3*i - 3*i + (3*i + 0*i - i)*(-2*i**3 + 3*i**3 + i**3).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.728 less than 0.0456?\nAnswer: -36.6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 15, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -10*g + 100. Suppose 0 = 4*m - 4*f - 6528, 2*f + 3*f - g = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 24*j**2 + j**2 + 10*j**2 - 17 - j**2. What are the prime factors of q(5)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*x = 3 - 0, -3*a + 3*x = 9. Let s(d) = -4*d - 4. Calculate s(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**23*z)**26)**(5\/6) assuming z is positive.\nAnswer: z**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 - 4*h**2 + 5*h + 4. Let t(y) = y**3 - y**2 - y + 1. Calculate -4*t(r) + w(r).\nAnswer: -r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50843 > 203377\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**3 + b**2 + 30*b - 31. What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1075958 and 469483.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-28) + (-2856)\/(-98)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2592 and -65\/7776?\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.565 times -0.3\nAnswer: 0.1695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from llofmooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2259*f + 4504. Give u(3).\nAnswer: -2273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541394 is divided by 2430?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 3465*k**3 + 716702*k**2 + 720168*k.\nAnswer: k*(k - 3244)*(k - 222)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -10100110010010000110100?\nAnswer: -10100110010010000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -16, -3, -2\/49, -5\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45722753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25883471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 85.5. Let k = -10235.97 + 10236. Let l = 0.7 - -0.3. Which is the fourth biggest value? (a) y (b) l (c) k (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 144631?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.019 + -107.019. Let s = -107.0372 - k. What is s rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 92949*u - 185864. Determine h(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9409\/4 - 2367. Calculate the common denominator of i and 252\/63 + ((-258)\/80 - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-5)*(-5)\/2. What is the second derivative of -3*f + a*f**4 + 0*f**4 + 6*f wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - 101001?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13450733 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59173\/7326 - -54\/407. What is the common denominator of 65\/22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 + 8*g**2 - 3*g - 3. Let v(z) = -9*z**3 - 14*z**2 + 5*z + 5. What is 4*v(y) + 7*w(y)?\nAnswer: -y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -69*x + 2674. Let r be q(37). Calculate the greatest common factor of 704 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmm when three letters picked without replacement from vvvwwmmw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7076 - 5922. What is the nearest to t in 0.5, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/7)*f)\/(f*f\/(f*((f*f\/(f*((f*f\/f**(4\/25))\/f)\/f))\/f*f)\/f))*f\/(f*(f\/f**(9\/5))\/f)*f*f**(4\/13)*f*f assuming f is positive.\nAnswer: f**(14584\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-9))\/(i**(1\/2)\/i)*(i\/i**(-1)*i)**(2\/9) assuming i is positive.\nAnswer: i**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -n - 2*q, -n - 14 = 4*q. Let r(v) = 9 + 2*v**n - 8*v - 7 + 7*v - 11*v. Let h be r(6). Solve h*l = -2*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(3)*-5*-6)\/((sqrt(2) - sqrt(24)\/(sqrt(12)*1)) + 3*sqrt(98)).\nAnswer: 20*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18328, -30812, -43298, -55786, -68276?\n\"Answer: -a**2 - 12481*a - 5846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 2*q**3 - 4*q**3 + 3 + 106*q**2 - 111*q**2 as k + w*q**3 + d*q + s*q**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {s: 1, i: 1, c: 1, m: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 4:25 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*8\/(-264) + 20868\/33. What is the greatest common divisor of 40 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 0.53, -1\/9 in ascending order.\nAnswer: -8, -5, -1\/9, 0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 2*o**2 - 7*o**2 - 5*o - o**2 + 5*o + (-2*o + 1 - 1)*(2 - 2 + 2*o) + 2*o**2 + 0*o + 0*o.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by -32540\nAnswer: -177\/32540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.3 + 16.14. Let v(x) = -x**2 - 8*x + 5. Let j be v(-8). Which is the second biggest value? (a) 0 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 36848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21096.75494 + -21097. What is v rounded to 3 decimal places?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 106. Put -3, 39, 8, p in decreasing order.\nAnswer: 39, 8, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322 - -1311312?\nAnswer: 1313300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -873? (a) 113 (b) -3 (c) -2\/11 (d) -1\/8 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*f - 2*f - 36 = 0, -56*f + 4*f - 220 = -3*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204.1*2.676.\nAnswer: 546.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2181 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - i)*(0*i**3 + 2*i**3 - i**3) - i**4 - 5*i**4 + 4*i**4 - i**4 + 6*i**4 + 0*i**4 to the form q*i + h*i**4 + l*i**3 + p*i**2 + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 56. Let m be s(8). Let j be 8\/m + (-2)\/30. Which is the closest to -15? (a) 3 (b) j (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0426*3.\nAnswer: 0.1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a - 5*l + 35, 0 = -5*a - l + 32. Let j be ((-3)\/a)\/(1\/(-56)). What is the greatest common divisor of 70 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -28. Let s = -3 + 0. Let j = s + 7. Solve -j + a = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*c + 40, -4*f + 10 = -3*f - c. Let p be (10\/(-18) - -1) + (-69)\/(-27). Solve -p*n + n - f = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l + 4*f - 13, 4*f = 0. Let q = 93 - 30. Suppose 13*h + q = 4*h. Sort l, -5, -1, h.\nAnswer: h, -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -118 (base 14) to base 5.\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25694 is divided by 60?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3972 divided by 6.\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/20 or 334?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + 28\/6. Suppose -l - 5*m - 9 = -95, -2*l + 147 = 5*m. Suppose -a*h + 123 = -l. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (35 + -38 - (0 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(1*sqrt(3)) + sqrt(33))\/(sqrt(99)*5).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-488610)\/(-8) + (-2)\/8. Let p = 311804 - s. Suppose -p - 1699272 = 3*z. What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8151*q + 48871. What is s(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + k**3\/3 - 8*k**2\/3 + 4*k\/3.\nAnswer: k*(k - 1)*(k + 2)*(3*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*b, -4*b + 4 = -l - 11. Let x(s) = -s**3 + 2*s**2 - 2*s - 2. Let a be x(2). Let j = -4 - a. Solve -l*h = j + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/164 and -69\/6806.\nAnswer: 13612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 6*q - 7. Let t be n(7). Let b(y) be the second derivative of y**3\/6 + 13*y**2 + 3*y. Does 13 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 16, 80, 190, 358, 596?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*i - 0*i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139\/132 + 10\/33. What is the third biggest value in 0.3, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**2 + 0*y**2 + y**2)*(-2*y - 5*y + 3*y) + (5*y**3 - y**3 - 2*y**3)*(0 - 1 + 2) as o + w*y + u*y**2 + t*y**3 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1045 - -121?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001852 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1750 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*c - 102431, -5*c - 102429 = 33*z - 35*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 63\/18 - (-2)\/(-4). Solve -j*m + 20 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-512)\/368)\/16 - (-324)\/23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569925015 a multiple of 5913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 10147.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Suppose -2*c = -c - 6. Calculate the remainder when i is divided by (-4)\/c + 8\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z + 517. Let f be j(39). Calculate the highest common factor of f and 22088.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + 6 + -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*o - 45 - 20 - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.03. Let k = 2.08 - y. Which is the nearest to 1? (a) k (b) -1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 36 = -5*i, -b - 720 + 698 = -4*i. Solve 0 = -g + 3*a - b + 9, 4*a = -g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1840 + s - 3672 + 1832.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1735 and 3817.\nAnswer: 19085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9765810 and 2394?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, 24, 2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**5 - 222234*h**4 + h**3 - 338350409*h**2 wrt h.\nAnswer: 240*h**2 - 5333616*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.62994 - 14.111. Let d = 0.05 - 0.57. Let k = f + d. What is k rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:30 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(170)\/(sqrt(10) - sqrt(490)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 623254*f**2 - 2 + 0 + 4*f**3 + 12*f - 623252*f**2 - 35*f - 2*f**4 to c*f**2 + d*f**3 + t*f**4 + b*f + g and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and -0.002.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.196534 months to centuries.\nAnswer: 0.014330445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7 + 3*c + 3*c**2 + 1 - c**2 in the form y*c**2 + q*c + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 986800 rounded to the nearest ten thousand?\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (sqrt(343) - (sqrt(343) + (sqrt(343) + sqrt(343) + 0 - sqrt(343))**2)) + (0 + 2*sqrt(343))**2 + -2 + -2.\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 2*v + 34060 = 0.\nAnswer: -131, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 1 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1649 - -2353. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15558?\nAnswer: 2, 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1122237 - -36?\nAnswer: 1122275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/75)\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, y: 5, e: 2, s: 1, q: 3}. Give prob of picking 3 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*(-225)\/135*4\/30?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 2*h)*(-3251*h + 486592 - 486592).\nAnswer: -6502*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 202443956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 2 - 11) + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-35)*154\/1*(-254)\/(-1016)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/3 + 32*y**4\/3 + 152*y**3\/3 + 76*y**2 - 30*y - 108 = 0. What is y?\nAnswer: -9, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(1\/(-2)). Let z be ((-16)\/(-32))\/((-3)\/(-30)). Let n = a + z. Solve g = 5*c - 1 + 3, g - c - n = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 583*c + 1. Let z be 2\/3*780\/(-40). Let u(a) = 292*a + 1. Let m(i) = z*u(i) + 6*x(i). Is m(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 78 = 2*x, 5*l - 2*x + 38 = -150. Is -40 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2 - 6. Let v(l) = -l**3 + 5*l**2 + 2 - 2*l**2 + 0 + 4*l. Let q be v(u). Solve -q*o - 12 = -w, -w - 3*w = 3*o - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173443 (base 10) in base 2?\nAnswer: 101010010110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -543629*u**4 - 527972?\nAnswer: -2174516*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let m = -2\/4043 + 8124\/76817. What is the closest to q in m, 6\/11, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let y = 3 + d. Solve 3*z + 27 = -y*g + g, 0 = -2*z - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + c - c + 4*c**2 - c**2.\nAnswer: 3*c**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-67)\/5 + 6\/(-10). Let k(y) = -y**3 + 2*y**2 + y - 4. Let c be k(3). Let n = c - g. Solve o = -4*o - n*x + 17, 0 = -o - 4*x + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243 smaller than 3243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -310*h**2 - 475*h. Let y(p) = 622*p**2 + 950*p. Let r(k) = -7*c(k) - 4*y(k). What is the second derivative of r(j) wrt j?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(5 - 5 + 3*y**2) + 2*y + 3*y**2 - 66 - 57 + 136.\nAnswer: -6*y**2 + 2*y + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/1 + (-9581)\/260.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*514.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*s*s**(-2\/3)*s)\/s*s*s*s)\/s*s**(-2\/5)\/s)**(2\/7) assuming s is positive.\nAnswer: s**(118\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1145*s + 75 = 1160*s. Solve s*c + 3*j + 21 - 10 = 0, 5*j - 3 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/30 - p**3\/6 + 12*p**2. What is the first derivative of v(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 - (-2 - -1) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2 + 4. Let z be f(4). Let w(r) = r**3 - 4*r**2 + 2*r - 6. Let a be w(z). Solve 5*o = -4*k + 33, -k = a*k - 4*o + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - ((72 - 97) + 35)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4)*1 + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose -7*q = -2*q - 5. Let v be ((-21)\/(-7))\/((0 - -3)\/3). Put p, v, q in descending order.\nAnswer: p, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qapaaaaqaqcapacap. Give prob of picking 2 p.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6875897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2. Let o be (-3)\/9*(-14 - (0 + 4)). Let t(u) = -o*u + u + 8*u - 4*u. Calculate n(t(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-390)\/7 + (-4)\/14. Let j be (-4)\/14 + (-44)\/t. Let k = -38 + 40. Which is the closest to -1? (a) k (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/18*3 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5418303, 10836625, 16254945, 21673263, 27091579, 32509893, 37928205?\nAnswer: 43346515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -14. Solve 2*z = -t*l + 2*l - 16, -3*l = 2*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02203 + 0.12203. Sort 5148, q, -0.2 in decreasing order.\nAnswer: 5148, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/12)\/(11\/3). Let p = 5.6 + -5. Let z = 1.6 - p. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64098 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 1.4. Let j = f + -0.7. Which is the nearest to 2\/9? (a) j (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772\/8 - 1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 111*k - 98*k. What is the lowest common multiple of 786 and k?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-8)\/(-12))\/((-154)\/1848). Let s(n) = 5*n**2 - n + 1. Let b be s(1). Sort -4, b, 2, k.\nAnswer: -4, 2, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 56675371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z + 26. Let h(r) = 7*r + 9. Let u(j) = 17*h(j) - 6*k(j). Let i be u(-11). Suppose -i*f + 5*f = -6. Solve 0 = -f*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*j**3*o**3*q**3 + 2*j**3*o**3*q + 52*j**2*o**3*q**2 - 2*j**2*o**3*q + j**2*o*q + j*o**3*q**3 wrt j?\nAnswer: -792*o**3*q**3 + 12*o**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 5*y**8\/112 + y**7\/42 - 3*y**6\/8 + y**5\/4 + 5*y**4\/12 + 205*y**2. Let c(t) = 0. What is t?\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, -2, 6, -7403.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/21 + -3\/7. Suppose 2*k - 120 = 6*k - a, 0 = 5*k - 5*a + 150. Let m = k - -92\/3. What is the nearest to m in p, 1\/8, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbpqhbhp. What is prob of sequence pb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -19.8. Let x = 20.00221 + k. What is x rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.2 + -75.2. Let w = 0.46 + -0.06. Let m = w + -0.2. What is the third biggest value in 0.13, v, m?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 3*o - 1. Suppose -4 = 4*w - 2*w - 5*b, -4*b - 6 = 3*w. What is the units digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/19 - 308*g**3\/19 - 12162*g**2\/19 - 1232*g - 608.\nAnswer: -2*(g + 1)**2*(g + 76)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421 and 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -104. Is 7 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/6 - (-27 - -28))*4\/40\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251389 (base 10) to base 3.\nAnswer: -110202211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.1. Let v = -7 - -11. Let c be ((-2)\/(-3))\/(v\/(-6)). What is the nearest to q in 5, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 24*r - 7*r - 34*r - 2. Is v(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2 + 0*h + 0*h**3 - 1\/2*h**2 + 1\/2*h**4. What is the second derivative of r(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.01 - -4. Let n = 0.01000014 + t. What is n rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(3025\/(-1210))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4da2 (base 14) in base 10?\nAnswer: -13666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 841*c*m**2 - 365194*c - 83991*m**3 - 70*m wrt m.\nAnswer: 1682*c - 503946*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8))\/(252\/(-792)). Let g = 0.1 - 0.2. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53624*q**2*v**3 + 730702*q**2 + 3*q - 70*v**3 - v**2 - 2*v wrt v?\nAnswer: -321744*q**2 - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - -5. Let d = z - 24. Suppose w + 6*f - 3*f - 68 = 0, 3*f - 364 = -d*w. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 2*u**2 + 5*u + 1. Let f(r) = r**3 + 10*r**2 - 12*r - 12. Let c be f(-11). Let a(g) = -2*g + 2. Let i be a(c). Give k(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 476358 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = g. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(66*s + 108*s - 27*s)*(-5*s + 7*s + s).\nAnswer: -1323*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2032763782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.72 + -49.28. Let g = f + -16. Let d = g + 62.7. What is d rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-40)\/56)*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8519090*j**2 - 3676183 wrt j.\nAnswer: 17038180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*q - 753*q**2 - 10 + 757*q**2)*(3*q - 2*q**2 - 3*q + (-3*q**2 + 2*q**2 - q**2)*(-1 - 2 + 4) + 4*q**2 - q**2 - 4*q**2).\nAnswer: -20*q**4 + 15*q**3 + 55*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2362321 - 2362321 + 278*q**3 + 47*q**2 - 4*q wrt q?\nAnswer: 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1636 and -5.\nAnswer: 0.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 158\/9, -3, 2\/305, 0.3, -0.7, -0.2?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8996823 + 3\nAnswer: 8996826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 995 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1036*o**2 - 2*o - 5*o**3 + 1036*o**2)*(3*o - 6*o - 4*o) to the form u*o + i*o**4 + d + k*o**2 + a*o**3 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:59 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o**2 - 16*o + 6. Let t(n) = 54*n + 13*n**2 - 22*n + 2*n**2 + 1671 - 1682. What is -6*t(x) - 11*y(x)?\nAnswer: -2*x**2 - 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*10\/(-140)*21.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 - 8*d - 4. Let x be v(-7). Let s = x - 1. Suppose 6*o + 8 = 2*o, -s*o = -w - 1. Let m(q) = -q**3 - 5*q**2 + q + 5. Calculate m(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 14) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 12:16 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -1\/2 (c) 11 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359 + 420 + 46 + 259 - 171 - q to the form p + i*q and give p.\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -3*o**4\/4 - 3*o**2 - 5*o. Differentiate a(l) with respect to l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 8*g + 4*g)*(-3 + 4 + 3).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(((sqrt(104) - -2*sqrt(104)*-6) + sqrt(104))\/(-6*2*sqrt(8)) + (5*(-2*sqrt(130) - sqrt(130)))\/(2*sqrt(160))).\nAnswer: -25*sqrt(13)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-186)\/(-18)*((-865)\/(-220) + -4) and (-361)\/(-36) - (-10)\/45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50155 (base 7) in base 13?\nAnswer: -5674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhu when three letters picked without replacement from {u: 2, n: 1, h: 1, w: 6, q: 4, j: 4}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -633 - -1158. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002731 to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 25.8. Which is the biggest value? (a) -1\/2 (b) n (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25+-1.112\nAnswer: -26.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/((-21)\/(-154)). Let s = i - 9. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1331\/27 - -1340\/27. What is the nearest to 1 in -0.2, -0.95, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*x**2 - 252480*x + 353*x**2 + 252480*x in the form u*x**2 + y + t*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-23.118\nAnswer: -2.08062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/15*(-9)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -508\/50017 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104411 and 13484217?\nAnswer: 13379806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1701 - -2837. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**2 + 9*f**3 + 6*f**2 + 8*f**2 - 2*f**2 wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 10 (c) -0.5 (d) 0.2 (e) -24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2552 and 32797666.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -45. Let n = z - 49. Put 3, 0, n in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (213\/24)\/((-13)\/(-104))*-1\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4299.42 millilitres?\nAnswer: 4.29942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {g: 5, l: 1, x: 3, s: 1, u: 10}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1924 - 660 + 545 + 45*i - 1071*i wrt i?\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*j - 1400 - 1078 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62936799.\nAnswer: 3, 20978933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85753990 to the nearest integer?\nAnswer: 9260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 30132?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-1235850.\nAnswer: 1112265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*p + p - p)*(-2*p**3 + 0*p**3 + 3*p**3) - 2*p**4 + p**4 + 0*p**4)*(0*p - 2*p + p).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600489 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476 + 6*t**2 + 2*t + 0*t**2 - 7*t**2 - 5238.\nAnswer: -t**2 + 2*t - 5714","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + q - 30 + 141, 0 = -5*r - 2*q + 155. Suppose -2*t + r = -2*l - 29, 0 = -3*t - 4*l + 87. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -24*n + 22*n. Suppose 3*m = -10*m - n. What is the smallest value in -3, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-15) + 2)*102\/136. Let h(m) be the first derivative of -1\/2*m**i + 27 + 7*m. What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 9*t**2 + 9*t - 8. Let f be n(8). Let c(l) = -l**2 + l - 2. Let z be c(f). Which is bigger: -3\/4 or z?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 46. Suppose -3*v + 110 = -a*v. What is the greatest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4205*g**3 - 1168*g**3 - 1207*g**3 - 1832*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 1. Let n = 3 - 4. Let z be s(n). Let w(q) = -349*q**2 + 704*q - 7. Let l be w(2). Solve -z = 3*t, -2*b + 2*t = -l*b - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34088?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -25*x - 3*t + 8772, 2*t = x - 868. What is the remainder when x is divided by 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02005 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 9, p: 1, c: 5}. Give prob of picking 1 t and 1 g.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -0.03, 0.0785, 6\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 3*x + 3277*x**2 - 2431*x**2 in the form k*x + r + b*x**2 and give b.\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104716 and 23500.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 0.05 (c) -0.2 (d) -0.42 (e) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -5*k + 3*n, 3 = -3*k + 3*n. Suppose k*p = -4*p + 2704. Let j = p + -423. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 + 2*n + 34. Let m be g(-2). Suppose h - t = 0, 0 = 4*h + 4*t - 19 - 21. Suppose 9 = 2*s - h. Calculate the highest common divisor of s and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534331273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*a**3 - 5994\/11 - 4050\/11*a - 702\/11*a**2.\nAnswer: -6*(a + 3)**2*(a + 111)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p + 54 = 0. Let z be (p\/(-6))\/(1\/(-2)). Let o = 9 + z. Solve -c = -o*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17744 divided by -2?\nAnswer: 8872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bca60 - 6?\nAnswer: 2bca57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 73 = -2*z, 108 = -4*x + 3*z + 10. Let f = x - -29. Differentiate 2 - 1 + f*w**2 - 14*w**2 + 4*w**2 with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 7. Let p(x) = -5*x + 16 + 4*x - 26 + 11. What is 6*p(z) - w(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.14, -1, -12, -4, 6\/5, -5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 4491*u + 4490*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/19 - 864*b**3\/19 + 49456*b**2\/19 + 9626496*b\/19 + 200757024\/19 = 0. Calculate b.\nAnswer: -58, -26, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12)*-3*-10 + -1. Solve -9*r + 16 = -13*r, 16 = 2*s - x*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1758416205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215929 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2627*s - 2626*s + 5254*s - 1)*(0*s**2 - s**3 + 0*s**2 + 3*s**2).\nAnswer: -s**4 + 4*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*q + q + 9, -5*g - 6 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3. Calculate the common denominator of 67\/(-44) - k\/4 and 235\/(-63) - 2\/(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0*l)\/l**3)\/(l**(6\/7)\/l**(1\/6)))\/(((l\/l**(-5))\/(l*l**(3\/5)*l))\/(l**(1\/3))**(-1\/2)) assuming l is positive.\nAnswer: l**(-219\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-246)\/41 + 7\/2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3222 - 3221. What is the nearest to x in 2, 0.38, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6798*u + 16*u**2 + 13594*u - 6796*u + u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + k - 8 = 0, -55*a + 50*a = -2*k - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 5, 23113, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8*-1438.8598.\nAnswer: -11223.10644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000489625 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {s: 11, k: 2, e: 3, a: 2, h: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -8835?\nAnswer: -8829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1447, 532, -381, -1292, -2201?\n\"Answer: d**2 - 918*d + 2364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:57 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15773994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14063*r**3 - 3*r**2 + 5*r - 4. Let s be i(4). Round s to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 5*s - 2. Let f(n) = 7*n**2 - 27*n + 8. Let v(z) = -f(z) - 6*x(z). Suppose 2*j + 52 = 20. Let t = -20 - j. Calculate v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4475266 and 241182.\nAnswer: 40277394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*w + 8. Suppose -w*q - 3*i + 1 = 0, 3*q + i = q + 3. Suppose q*k = 5*t + 404, 48 + 140 = 2*k + t. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96307 - -3555.796.\nAnswer: 99862.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 2*u**2 - u**2 + (u + 2 - 2)*(3*u - u - u) + 75*u - 2272*u**2 - 72*u + 22 + 2270*u**2.\nAnswer: u**2 + 3*u + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 126*g + 799. Let s be o(56). Let b(m) = 3*m**2 - 46*m + 2. Give b(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 0*d**3 - 5\/6*d**6 + 0*d**2 - 5 + 1\/2*d**4 + 3\/5*d**5 + 0*d. Find l such that j(l) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 616 and 1878848?\nAnswer: 144671296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 344*x - 13. Let f(r) = -3*r**2 - 689*r - 22. Calculate 3*f(s) - 5*l(s).\nAnswer: s**2 - 347*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187*x + 4302*x - 5 - 2156*x.\nAnswer: -41*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2)*(2 + 0). Suppose -b*y - 70 = -9*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -5, 731?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 19. Let n be o(-7). Let y be -4*((6\/(-3))\/n)\/2. What is the third derivative of -30*x**2 + 0*x**y + x**2 - 2*x**2 + 9*x**5 wrt x?\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 5, c: 1, o: 4, s: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 1. Let k(n) = 4*n - 1. Let f(l) = 3*l**2 + 17*l + 5. Let j be f(-5). Calculate j*k(s) - 6*z(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/15 - 1844*z\/5 + 22032\/5 = 0.\nAnswer: 12, 2754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 32354*q**3 + 48538*q**2 - 16180*q = 0. What is q?\nAnswer: -8090, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -27.5 equal to -0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.62 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let l = 2.9 + -0.9. Which is the nearest to -3? (a) -1 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 789, -1\/2, -16, -7, -8, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -256*w**5 - 15424*w**4 - 289988*w**3 - 1600616*w**2 + 290244*w + 1616040 = 0.\nAnswer: -201\/8, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*r = -630, 4*r = -0*p + 4*p + 512. Let q = 209 + p. Let b = -72 + q. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14 = -10. Let z be (0 + p)*1220\/(-6). Let y = z - -9887\/6. What is the common denominator of 95\/22 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230527 is divided by 305?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f**2 - 7*f - 10. Let y be l(-4). Solve -2*m = -2*a - 6, 4*m - 2*a + 3*a = y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*o**3*q**4 + 2*o**3*q + 95*o**2*q**2*s - 777*o*q*s + 3*s + 8 wrt q.\nAnswer: -768*o**3*q**2 + 190*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5 - -1) + (-15 - (-47 + 24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 13*o + r + 8 = 0, 0 = -4*o - 5*r - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*r**2 + 132*r**2 - 270*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115689?\nAnswer: 3, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2*i**2 + 5 + 17*i**3 + 2.\nAnswer: 17*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 5*a + 14. Give n(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21*o**2 - 2*o - 8. Let z be d(6). Is z smaller than -775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9 = 2*b. Let i be 2\/(-31) + (-2277)\/(-2139). Sort 2, i, b, -1 in descending order.\nAnswer: 2, i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 15059, 60722, 136827, 243374, 380363?\nAnswer: 547794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:12 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*j - 4*t, 11 = 12*j - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Suppose -k*n + 4*z + 16 = 0, 2*n - 5*z - 8 = -4*z. Suppose p = -p + n. Put p, -1, 4 in ascending order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -1\/2 (b) 9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*q)*((q - 3*q - q)*(2 + 0 - 3) + 7 + 3*q - 3*q + 2*q) to s*q + b*q**2 + n and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**2 - 7*d - 31. Is y(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:55 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43814 divided by -21907?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -333720870 at least -1668604351\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:18 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -51*a**3 - 7*a**2 + 7. Let l(o) = -17*o**3 - 2*o**2 + 2. Determine 4*j(x) - 14*l(x).\nAnswer: 34*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70683 - -99725. List the prime factors of p.\nAnswer: 2, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167\/15 - -9\/5. Let l = 382\/39 + x. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3267 or -6533\/2?\nAnswer: -6533\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2718862 is divided by 302087?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 + -155. Let h(n) = -72*n + 204. Let a be h(-8). Calculate the greatest common divisor of a and x.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 + 2*a**5\/15 + a**4\/3 + 4*a**3\/3 - 8*a**2. Let o = -15 - -23. What is the units digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -164, -296, -426, -554?\n\"Answer: t**2 - 135*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -451 and 54.8?\nAnswer: -24714.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 6) to base 14.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 0*n + 20 + 5\/2*n**2 + 3*n**3. Let u(z) = -8*z**2 - 4*z. Calculate 4*b(i) + 5*u(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let h be (-6 + 3 - -4) + 1. Let l(c) be the first derivative of h + 0*c + 0*c**2 - 1\/3*c**3. Give l(a(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 26740*b + 213664.\nAnswer: 4*(b - 6677)*(b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2521906 is divided by 1096?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -5*f**4\/12 - 10*f**3\/3 + 225*f**2\/2 - 84*f. Determine n, given that v(n) = 0.\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 3*l**2 + 3*l**2. Let c(m) = -32*m**2 + 8*m - 30*m**2 - 35*m**2 + 61*m**2 + 34*m**2. Calculate x(c(w)).\nAnswer: 4*w**4 - 32*w**3 + 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -132, -173, -240, -333?\n\"Answer: -13*u**2 - 2*u - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*p**3 - 34467*p**2 + 6188442*p - 386643.\nAnswer: 3*(p - 359)**2*(16*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25 and -403.766?\nAnswer: 428.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/33 and (-16)\/(-28) + (-2114)\/9702.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 3. Let y = 18 - d. Is (-12)\/y*152\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1639883 * -28.\nAnswer: 45916724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (118\/295)\/((1\/(-50))\/(18\/12))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {o: 2, j: 2, r: 11, a: 1, c: 1, k: 2}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.858589 micrometers?\nAnswer: 0.002858589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-38))**(-13)*f\/(f**(-2\/25)\/f)*f\/(f\/(f*f**(1\/2))) assuming f is positive.\nAnswer: f**(-25171\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {j: 4, a: 5, n: 8}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 1\/((-2)\/16). Suppose -3*w = -2*i + 48, i - 11 - 12 = w. Suppose -3*x + i - 2 = -4*p, -x + 9 = -2*p. Put p, g, -2 in decreasing order.\nAnswer: -2, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 12*t**2 + 17*t + 10. Let q be c(-9). Let m = 305 - q. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 - c + 8. Let m(t) = -26424499 - t**2 + 26424499. Give -2*m(b) + n(b).\nAnswer: -2*b**2 - b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23026492 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, a: 11, h: 1, k: 1, x: 1, q: 3}. Give prob of picking 1 x, 1 a, and 2 d.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 40*s**3 + 192*s**2 - 2560*s + 4096 = 0.\nAnswer: -8, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10682.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 134. Let z = 112 - 24. Let r = k + z. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let x(s) = s**2 + 2. Suppose 106 = 4*c + 18. Let l = 16 - c. Let m(y) = 4*y**2 + 7. Let g(v) = l*m(v) + 21*x(v). Determine g(k(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 191, 473, 905, 1499?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*p**3 - 2*n**2*p - 7*n*p**2 - 23*p**3 + 7*p**2 wrt p.\nAnswer: 6*n**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 - 22*r**2 - 108*r - 399. Determine l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*d - 1)*(5*d - 4 + 4) - d**2 - 4*d**2 + 6*d**2 in the form c*d**2 + j + p*d and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13894 - -33687. What are the prime factors of w?\nAnswer: 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14\/c*c\/(c\/((c**(2\/13)*c)\/c)))\/((c\/((((c*c**(-13)*c)\/c)\/c)\/c))\/c*c*c**29) assuming c is positive.\nAnswer: c**(-401\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 13808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from dpdpppfmpfpfppdpfflp?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + 38. Let j = 28 - o. Let w = -387 - j. Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*a - 141*a - 152*a**2 + 22*a.\nAnswer: -152*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.094 - -4.806. Let x = l - -0.1. Let r = 5.00000018 - x. What is r rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.50006 rounded to one decimal place?\nAnswer: -43.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3605 = -80*z + 6155. What is the highest common factor of 7442 and z?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l - 7. Let w(u) = -u - 1. Let s(n) = o(n) - 3*w(n). Let i(v) = -v - 1. Give -6*i(q) + s(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from ammmmaauuuaa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b - 4*b**2 + 3*b**2 - 68*b + 0*b**2.\nAnswer: -b**2 - 91*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*s**3*v + 51190*s**3 - 109*s**2*v**2 - 3*s*v wrt v.\nAnswer: 35*s**3 - 218*s**2*v - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 14) to base 9.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, t: 4}. Give prob of sequence tmm.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2762 + 10002 = 598*q + 307*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 40 = 0. Suppose -3*n + n = -c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24156)\/51667 + 4\/22.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 40 + 10. Suppose -c = -4*l + 4 - 9, -x = 4*l - 3*c. Let r(p) be the second derivative of p**4\/12 - p**3\/6 - p**2\/2 - 12*p. Determine r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 62, 3\/7, -1\/3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.087 - 0.187. Let l = 0.2 - 0.1. Which is the second biggest value? (a) l (b) -4\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/((-2)\/4)*173\/(-478345)*158\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:57 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-36)*15\/25*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026.004876 rounded to the nearest ten?\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + 0 - -2) - (0 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 minutes before 8:38 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 40*c**3 + 164*c**3 + 71*c**3.\nAnswer: 195*c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -144, -218, -292?\n\"Answer: -74*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*t + 3224 - 367 = -5783 for t.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:31 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.54? (a) 2 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/36, 0.119, 193, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5885 - 1495. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 11*y + 9 = 0. Suppose b + 7 = y. Solve o - b*o - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 6*n - 1. Let q(b) = -b**3 + 11*b**2 + 11*b - 2. Let g(o) = -11*m(o) + 6*q(o). Let a = 4 - 3. Calculate g(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = r. Let f = -33 - -30. Let a(z) = 9*z + 39. Let d be a(-5). Put d, r, f in increasing order.\nAnswer: d, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 18*z**2 - 17*z + 4. Suppose 5*b + 2*o - 75 - 255 = 0, -5*b - 3*o + 325 = 0. Let s be 15\/12*b\/10*-2. Give t(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4458 and 48.\nAnswer: 35664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18848*0.5.\nAnswer: -9424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 11184 = 5*y, 15*y - 8940 = 11*y + 5*g. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-7 - (94 - 47))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/117 + ((-10)\/(-6))\/((-4108)\/(-1659)). Factor -b*a**3 - 9\/2*a**2 + 45\/4*a - 6.\nAnswer: -3*(a - 1)**2*(a + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288509 = 2*w - 83909. Let r = -62300 - w. What is r rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 1403 (c) 0.4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.2 - 16.9. Let l = -29.2 - z. Let g = 0.09 - -0.41. What is the biggest value in g, 2\/5, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/6))\/r)**(16\/9)*(r**1)**(4\/3))**10 assuming r is positive.\nAnswer: r**(280\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688953?\nAnswer: 3, 29, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*f + 1 = 21, -3*w - 3*f = 15. Solve -4*v - 4 + 12 = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + 4 + -5 + (-7 - 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -72. Which is the nearest to -1? (a) y (b) 0.4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 29 = j, -33*p + 35 = -36*p + 4*j. Let h be (9\/(-8))\/p + (-5)\/40. Solve -2*o - 6 - 4 = h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(4 + 1 + -6). Suppose -d*t = 1898 - 6398. Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 + 399*d**3 - 5193*d**2 + 3981*d + 9570 = 0. What is d?\nAnswer: -145, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2835*k - 2263*k - 855*k as a + j*k and give j.\nAnswer: -5953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380459, -760654, -1140849, -1521044?\nAnswer: -1901239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(209)\/sqrt(11) + 1 - (-5 + 4 + sqrt(19) + -2)**2.\nAnswer: -27 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220212 (base 3) to base 12.\nAnswer: 6365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 7. Suppose 0 = 11*p + 69 + 8. Give f(p).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/11 + 20*t**2\/11 - 46*t\/11 + 24\/11.\nAnswer: 2*(t - 1)**2*(t + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-14) + (4\/(-49))\/(1080\/(-3780)). Let -1\/4*k**4 + s*k**2 - 3\/4*k**3 + 3*k + 2 = 0. Calculate k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, -69221, 5.\nAnswer: -69221, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 22988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45440 - -65222. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1220633 to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.496 times 0.007666?\nAnswer: -0.003802336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1631, 1870, 2523, 3800, 5911, 9066, 13475, 19348?\n\"Answer: 35*u**3 - 3*u**2 + 3*u + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/532 and -99\/14.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - p + 263*p**2 + 3*p**3 - 276*p**2 - 5*p**3 + 0*p + 2 in the form t*p**3 + r*p**2 + k + c*p and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 6. Suppose -16*u + 384 = 8*u. Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 6*o + 77. Let u be 0 - 0 - (-8 + 2)\/o. Which is the second biggest value? (a) u (b) -10 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 646*b - 649*b - 26, -17 = 3*r + 2*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -23, 1, -0.4, -2812\/13 in descending order.\nAnswer: 1, -0.3, -0.4, -23, -2812\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -219 + (8 - 3) + -9. Let m = x - -305. Calculate the remainder when 409 is divided by m.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.97 + 0.03. Let v = 649 - 657. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010001 - 1011?\nAnswer: 11100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 725. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -168314.9 to the nearest one hundred.\nAnswer: -168300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10631 = 228*v - 11087 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {b: 9, h: 9}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + n**3 - 5*n**3)*(-1 + 0 - 2 + (1 + 1 - 4)*(4 - 2 - 1) - 5 + 3 + 4).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 34847789 - 44172211 = f. What is f rounded to the nearest 100000?\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let n = -0.21 - -0.14. Put v, n, 1 in ascending order.\nAnswer: n, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -11.92. Let r = -0.12 - m. What is the closest to -0.1 in -1, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 3*d - 1\/40*d**6 + 0 + 1\/2*d**3 - 7\/24*d**4 - 1\/30*d**5 - 16*d**2. Find the second derivative of q(i) wrt i.\nAnswer: -18*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(448))*1 + (-3 + (2*sqrt(252) - sqrt(252)))*5)**2.\nAnswer: -988*sqrt(7) + 10277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*x - 2*x - 150 = 0, -3*x = r - 46. Let s = r - 16. Is 8\/36 - (-428)\/s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132, 115, 98, 81, 64, 47?\n\"Answer: -17*h + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 34. Let o be k(-10). Let v be (-5 - -2)\/(5\/((-100)\/o)). Let l(y) = -9*y + 7. Let s(h) = -5*h + 4. Determine v*s(m) + 6*l(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 24635 + 23651. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 15*s - 19. Let z be y(6). Let o = 37 - z. Solve t + 3*b + o*b = -10, 4*b = -5*t - 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 397.44.\nAnswer: 79.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 597289 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 + 2*s**5 - 3 + 7*s**5 - 6*s wrt s?\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrwwrwrwwwwer.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-1184)\/(-93). Let j = 17 + -5. Let l = u - j. Is -1 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4308081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (12 - (2 - 14 - (-11 + -16))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:38 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 34 - 32 + 626*x to the form c + t*x and give t.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -2. Let z = a - 10. Let p(q) = -q**2 - 7*q - 3. What is the units digit of p(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - (-4 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjpjjprpcp. What is prob of sequence rj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -2, 27, -38 in ascending order.\nAnswer: -146, -38, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-70)\/(-15))*-14*54. Is ((-27)\/12)\/(27\/i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 13*z**3 + 8 + 111*z**2 + 6*z**3 + 8*z**3 - 23 in the form c + a*z**2 + l*z + r*z**3 and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) - 3*98\/(-4). What is the greatest common divisor of 25 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46230 divided by 134\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1304, -1301, -1296, -1289, -1280, -1269, -1256?\n\"Answer: j**2 - 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.71548.\nAnswer: 0.81548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -539508, -1079019, -1618530, -2158041, -2697552, -3237063?\n\"Answer: -539511*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0*y - 2*y + 5 + 0 - 6*y**2. Let b = 11 + -7. Let u(s) = 11*s**2 + 3*s - 9. Give b*u(g) + 7*d(g).\nAnswer: 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20401 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2731 - 2709. Put -4, n, -3, -2\/17, 6 in ascending order.\nAnswer: -4, -3, -2\/17, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fem when three letters picked without replacement from {u: 1, f: 6, e: 4, m: 3, b: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10387 + -10387.010458. What is j rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 45*w**2 - 38*w - 361. Give j(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*s - 5*k, -3*k = -5*s - 4*k + 27. Suppose -s = -j - 0*j. Solve u - q = j - 4, 0 = -5*u - 4*q + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**2 + 10*a - 5.\nAnswer: 5*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/3 - 112\/(-210)) + 282672\/65?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)*l**5\/l*(l**(-1\/8))**(2\/17) assuming l is positive.\nAnswer: l**(677\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484 by -2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130839968 and 11392.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -22332213?\nAnswer: -22332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*h + 18, 4*f = h - 2 + 1. Suppose -4*w - 32 = 2*q - 2*w, -q = -h*w + 16. Let t = q + 33. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 3*p + 5. Let y(x) = -2*x**2 - 5*x - 8. Determine 8*l(r) + 5*y(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5520 - -88275\/16. Find the common denominator of c and (-1 + -1)*57\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.00791 - -0.15233. Let i = m - 0.143. What is i rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 327*b**6\/10 - 113*b**3\/6 - 3*b**2\/2 + 961*b. What is the second derivative of m(o) wrt o?\nAnswer: 11772*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262983 + 559082. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -786865, -1573725, -2360585, -3147445?\nAnswer: -3934305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:46 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.95732l?\nAnswer: 4957.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jircq. Give prob of picking 1 r and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2997, 1, 3, -3 in increasing order.\nAnswer: -2997, -3, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -291720996.05 to the nearest 1000.\nAnswer: -291721000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3795 and 13\/1995?\nAnswer: 504735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqoqooqqqqo. What is prob of sequence qqo?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 60 - 49*u)*(-2*u**2 - 1 - 4*u**2 + 0).\nAnswer: 294*u**3 + 49*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56206 + -30857. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 - -260. Calculate the highest common divisor of 616 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906526 to the power of 1\/2, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-288)*-60)\/(5\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-24) + (3\/6 - 2). Suppose -15*p + 32 + 718 = x. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 32 - z - z + z - 2 + 2 + (z + 2*z - z)*(0 - 1 + 2) + 0*z - 2*z + 0*z)*(-1640 + 78*z**2 + 1640).\nAnswer: -78*z**3 - 156*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v - 8. Let w be (-4)\/(2*v\/(-16)). Let c be -5*60\/25 - 3. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62387 + j + 62025 - 4*j to the form f*j + q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.72 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p - 3. Let b be n(0). Suppose 27 - 5 = -2*v. Let z = b - v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*p + 2, 2 = 5*p + r + 9. Let u(c) = c + 2. Let y be u(-6). Does 5 divide (-2)\/y*6 - p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i, -5*z + i + 3*i - 4 = 0. Suppose 3 = -u + 7. Solve z = -p + 2 - u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1 - -4) + (4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620634.96 nanoseconds in days?\nAnswer: 0.000000007183275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:59 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 + 92\/(-5). Let n(v) = 4*v**2 + 9*v - 9. Let d(t) = t**2 + 2*t - 2. Let x(r) = w*d(r) + 4*n(r). Find p, given that x(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 (base 9) in base 16?\nAnswer: 3c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/7 (b) 1\/8 (c) -1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 18*p**2 - 3*p + 44 + 11\/3*p**3 + 1\/6*p**4. Find l, given that h(l) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/a**(-2\/17)*a*a*a*a))\/(a*a**46*a)*(a*a\/(a**(-38)\/a)*a)\/(a\/a**(4\/9)))**(-22) assuming a is positive.\nAnswer: a**(42658\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12)*-3*-2. Suppose -2*i = 2*i - 3*x + 12, 0 = -5*i + w*x - 15. Let y(s) = s + 1. Calculate y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88201, -176431, -264735, -353149, -441709, -530451?\n\"Answer: -6*r**3 - r**2 - 88185*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w + 560. Suppose -5*h = -w + 30. Let i(x) = x**3 + 3*x**2 - 3*x - 4. Calculate the remainder when i(3) is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 - -0.036.\nAnswer: 111.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.072172*0.01\nAnswer: 0.00072172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3732672, 7465345, 11198018, 14930691, 18663364, 22396037?\nAnswer: 26128710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/3 + 2*j**4 - 2*j**3\/3 - 12*j**2 + 9*j + 18.\nAnswer: -(j - 3)**3*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 + 3*n - 9. Let b = 423 + -421. Let z be l(b). Is z greater than or equal to 2\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 38. Suppose -6*z + 550 - 142 = k. Suppose -5*b + z = 4*a, -2*b + 24 - 4 = -2*a. What is the remainder when 23 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*t + 14 - 2, -t + 4 = m. Suppose -t*o - 179 = -5*b + 90, -4*b = -2*o - 216. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10810 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-7) - (1 + 0))*-2. Find the second derivative of -6*z**3 - c*z**3 + 11*z + z**3 + 5*z**3 wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17201 + -459)*1*6*4\/(-8)?\nAnswer: 2, 3, 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**3 - 5*d**2 + 7*d - 4. Is 5 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1317.58 and 8?\nAnswer: -10540.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59417 - -267834. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2388, 4779, 7172, 9567, 11964?\n\"Answer: u**2 + 2388*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/24 - g**3\/3 - 8*g**2. Let w(s) = -s + 6. Let a be w(0). Let y be ((-9)\/a)\/((-1)\/(-2)). Give t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -0.46, -3, 0.5, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1476222 and 0.15?\nAnswer: -221433.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 213.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1222, 1283, 1344, 1405, 1466, 1527?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1161*k + 198143. What is r(151)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let m(g) = -2*g + 1485. Determine p(m(y)).\nAnswer: 4*y - 2970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11362 + -5?\nAnswer: 11356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/4)*h\/(h*h*h\/(h\/(h\/h**(-10\/9)))*h))\/((h\/(h*h**(-2\/83)*h*h*h*h))\/h**(-4\/13)) assuming h is positive.\nAnswer: h**(50773\/38844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-326)\/(-7) + -2 + 70\/49.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*m**3 - 4*m - 30*m - 9*m**2 + 9*m**2 + 32*m to x*m + k + i*m**3 + n*m**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:02 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13640 and -15619.7?\nAnswer: 29259.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3 + 30. Calculate the remainder when -1*1\/1 + -6 + 49 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8 and 37\/157917320.\nAnswer: 157917320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 118*x - 10*x**3 + 9*x**3 - 3*x**2 - 67*x + 4*x**2 as z + o*x + d*x**2 + t*x**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 756733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**11*c)\/c*c*c)\/c*c)\/c**(1\/11))\/((c*c**(1\/24)\/c*c)\/(((c\/c**(-19))\/c)\/c)) assuming c is positive.\nAnswer: c**(8149\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 1.35?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-211)\/(-1477)*(8 - -582 - -5)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -34 + -2 - (-5 + 0\/(-1)). Let z = 6 - g. Calculate the highest common factor of 296 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51624 and 1632?\nAnswer: 3510432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j**3 + 23961*j**2 - 374997*j - 2006550 = 0. Calculate j.\nAnswer: -21\/5, 175\/8, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - 1) + (-108)\/36?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 - 7*t**3\/2 + 3*t**2\/2 + 55*t\/2 - 25.\nAnswer: -(t - 2)*(t - 1)*(t + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*l + 132 + 23 = -1024 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220066384.\nAnswer: 2, 139, 548591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437004 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 24. Let x be g(5). Suppose -4*l = -a + 84, -x*a + 57 = 2*l - 225. Suppose -a = -3*y - 18. Calculate the highest common factor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039668.\nAnswer: 2, 3, 7, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 40 + 20. Calculate the common denominator of i\/(-44)*2\/3 and (-2 - (-17)\/7)*-5.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 4. Suppose -5*i + b = -4*b, -4*b + j = 5*i. Solve -4*l - 4*r - 5 = 11, 0 = r + i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.4342*0.28\nAnswer: 5.441576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133 and 8330512?\nAnswer: 58313584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Let c(z) = -3*z + 7. Let f(h) = 4*h - 7. Let b(i) = 3*c(i) + 2*f(i). List the prime factors of b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58886*f**6 + f**2 - f + 6870 wrt f?\nAnswer: -7066320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-11)\/(-2) + 4). Let d = m + -50. Sort d, -2, 4.\nAnswer: -2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 21 = 4*d, -5 + 1 = 4*d + 4*q. Let y be ((-34)\/(-8))\/((-3)\/(-12)). Suppose d*x - 27 = y. 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 = 87 + -85. Let v be ((-2)\/(-4))\/((-1)\/12). Let a = -3 - v. Calculate the remainder when a is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 520768.7nm?\nAnswer: 520.7687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by ((-3)\/(-9) - 0) + 62\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -0.07?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/4 - 245*l**4\/12 - 3995*l**3\/6 - 21675*l**2\/2 - 9*l - 63. Suppose o(r) = 0. Calculate r.\nAnswer: -17, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/4)*d*d))**(2\/11)*(d\/(d\/(d**(-3)*d)))**(14\/3))**(5\/8) assuming d is positive.\nAnswer: d**(-3185\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 5)*((-20)\/(-3))\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) + sqrt(35)\/sqrt(5)) + (sqrt(76)\/sqrt(4)*1 + sqrt(19) - sqrt(19)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h**(2\/7))**19\/((h**(-3)\/h**(1\/4))\/(h**(-6)\/(h**(-2\/11)\/h))) assuming h is positive.\nAnswer: h**(-2155\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 28*r**2 - 51*r - 55. What is the remainder when c(30) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(931) + 1.\nAnswer: 1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174.349828 + 0.170128. Let h = -34.2387 - a. Let d = 140 - h. Round d to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -89\/15*c**6 + 0*c**4 + 0*c**3 - 73\/2*c**2 - 10*c + 0*c**5 - 1. Differentiate a(p) wrt p.\nAnswer: -712*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 k, and 1 d when four letters picked without replacement from dddobmkdzdmkddookdm?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.42 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.39 - -6.908. Let p = -0.44 + x. What is p rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/12311 - 24616\/36933. What is the smallest value in c, -1, -0.4, -11.7?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11\/7 + (-60)\/105.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 18 = 2*s, 0 = 60*s - 64*s + 5*w + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12452.59 meters to centimeters.\nAnswer: 1245259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*v + 7. Let g(r) = -4 - r**2 + 40*r - r**v - 26*r + 4*r**2. What is the lowest common multiple of g(-8) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 112. Let x be 12\/l - (-30)\/21. Let k = x + 2. Solve 0 = -z - 2*a + 8, 0 = k*z - 3*a + 2*a + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n - 61. Let h be 13 - 29\/(348\/(-624)). Let z = n + h. Solve c - 2*c = z*q + 13, q - 11 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64539*q**3 - 76937*q**2 wrt q?\nAnswer: 387234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 6795 = -4*x, 2*x - 1373 = -j. List the prime factors of j.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 > 2\/848761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/14 + (5 - 5). Let j be 663\/182*(-4)\/6. Let f = n + j. Which is the closest to -1? (a) -2 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29576 + -29417. Solve -25*x + 59 - r = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*w - 25, q = 3*w - 13 + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14446, -14474, -14500, -14524, -14546?\nAnswer: -14566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, i: 3, z: 3, s: 3, f: 1}. What is prob of picking 3 s and 1 f?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 3, c: 3, t: 3}. Give prob of sequence tq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*32\/15*345\/(-828).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402299 is divided by 467433.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1247\/(-6235))\/(19\/(-10))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4 (c) -2 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*r**2 - 174*r**2 + 902 + 153*r**2)*(4*r**2 - 3*r**2 - 3*r**2) in the form d*r**3 + o*r + z*r**4 + j + u*r**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*i - 75*i = 672. Solve 5*s = 17*s + i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-3510)*15*(32\/(-472))\/(-1)?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10283553, 10283554, 10283555, 10283556, 10283557, 10283558?\nAnswer: 10283559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 2. Suppose -j = j + 5*f, 0 = 2*j - 2*f. Let v be y(j). Solve 0 = v*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599882100 rounded to the nearest one million?\nAnswer: 600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(70)*4 - sqrt(70) - sqrt(70))\/(sqrt(10) - 3*sqrt(10)*-2 - sqrt(10)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 259a?\nAnswer: 25a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - (-4 + 1)) + (-270)\/(-2). What is the second derivative of 188 + 7*a**2 + x*a - 188 - 7*a**2 - 137*a**3 wrt a?\nAnswer: -822*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193 + -144. Suppose 5*o - c = -9. Let m(s) be the second derivative of s**4\/12 - 7*s**3\/6 - 5*s**2\/2 - s. Give m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, m: 10}. Give prob of sequence llmm.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7422 - 7359) + (-1 - 41)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*o + 5*t = -410*o - 173, -5*o = 4*t - 56 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 7\/5, 0.2, 0?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.8 - 9. Is l < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 - 664844*f**2\/7 + 44535570*f\/7.\nAnswer: 2*f*(f - 332355)*(f - 67)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4\/7 - 1186077*h**3\/7 - 3558213*h**2\/7 - 3558207*h\/7 - 1186068\/7 = 0.\nAnswer: -395356, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 98. Let o = -14 - z. Let v = 100 + o. What is the closest to v in -2, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12280264 divided by 3070066.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 19. Let z be j(-5). Find the common denominator of 1\/((-9)\/2) - (-357)\/z and ((-5)\/3)\/(24\/63).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48819 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1 - 2*r + 0 + 5*r + 5*r**2 - r. Let v = 36 + -34. Let f(b) = b**2 - b + 5*b**2 - 4*b**v - 3*b**2. What is -3*f(z) - u(z)?\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27619.253 - 27605. Let u = m + -14.304134. Let i = u - -0.051. What is i rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*p**3*q + 330848*p**3 + p**2*q - 22*p**2 + q + 3357 wrt p.\nAnswer: 126*q + 1985088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1972.4+-0.5\nAnswer: -1972.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044292406 rounded to 6 decimal places?\nAnswer: -0.000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 386207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, -120.3, 0.0781.\nAnswer: -120.3, -1\/2, 0.0781, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 17*d - 152. Calculate a(-14).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 484220000 rounded to the nearest one million?\nAnswer: 484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.04 + -24. Let n = 0.12 - j. Which is the closest to 1? (a) -2\/9 (b) n (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 312 - 1678*u + 1429 - 194 + 375*u - 328*u wrt u?\nAnswer: -1631","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2)*(-25)\/(-10). Suppose 0 = -s*a + 6*a - 19. What is the remainder when 56 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 362?\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 21*c**3 + 119*c**2 - 119. Let b(u) = u**3 + 6*u**2 - 6. What is 119*b(v) - 6*h(v)?\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxux. Give prob of picking 1 u and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 36*o - 1 = -5*g, 2*g = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y. Suppose -7*x - 8*x + 330 = 0. Let o(v) = -59*v + x*v + 25*v + 19*v. Determine o(f(a)).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*y = 288*y. Solve y = 5*s - 2*s - 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 93833.98 micrograms?\nAnswer: 0.00000009383398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 - 2 = 0. Let o(t) = t**2 + 30*t - 95. Let z be o(-33). Solve p*f - 4*k = 0, z*f + 7*k + 22 = 4*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and -15.67111.\nAnswer: -15.69111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 5*g**3 + 3*g**3 + 14*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:37 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336488*t - 336483*t + 3*j + 27 = 0, j + 9 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*w = -3*k + 6402, -5*w = -3*k + 9601. Let z = k + -2027. Round z to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 5, e: 5}. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 2 + 2 + (10471*f - 8084*f - 1 + 0)*(0*f**2 - f**2 + 7*f**2) to y*f**2 + w*f**3 + c + b*f and give w.\nAnswer: 14323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -706, -1472, -2296, -3178?\n\"Answer: -29*z**2 - 679*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672001804.\nAnswer: 2, 19, 29, 304901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 8) to base 10\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 45*t**3 - 362*t**2 + 371*t - 56. Let a(s) = -s**3 + 2*s**2 + s. Let z(l) = a(l) + b(l). Factor z(v).\nAnswer: 4*(v - 7)*(v - 1)*(11*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(80\/35 + (-2)\/7). Suppose p = -0*g + g + 4*f - 33, -4*g = -3*f - 37. Let x(d) = -14*d - g*d - d**2 - 8 + 18*d. Give x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 2*y + 11. Let v be q(5). What is the fourth biggest value in -2\/13, 1\/7, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14405*n + 144054. Calculate h(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5, -30, 3\/841?\nAnswer: 3\/841","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.279 rounded to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13. Suppose -4*y - 31 + 151 = k. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31026, -61953, -92822, -123639, -154410, -185141, -215838?\nAnswer: -246507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2*t - 4. Let m(c) = -5*c**2 + 8*c - 16. Let j(f) = -m(f) + 4*s(f). Let z(r) be the third derivative of -7*r**5\/60 - 3*r**2. Give z(j(x)).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -869 + 1486. Suppose 133 = -4*t + z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.5, 0.05497, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 41*n = 12. Suppose n*j + 57796990 = -16903010. What is j rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5650430 (base 7) to base 15.\nAnswer: -dcbde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f + 5 = 0. Suppose 6 = -f*z - 14. Let v(y) = -y**3 - 9*y**2 - 2*y - 2. Let j(p) = p**2 - p + 1. Let k(h) = -3*j(h) - v(h). Give k(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 234, 224, 198, 150, 74, -36?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -fc5 (base 16) to base 13\nAnswer: -1ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216420149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(5) - (4 + sqrt(5)*-5)) + sqrt(5) + 2 + 4 + 2).\nAnswer: -42*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 3 - 4*m - m + 3*m. Let b(l) = l + 2. Give 2*b(p) + 3*s(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - d + 30 = 3*y, -4*y + 24 = -2*d. Let u be (-2)\/10*y\/9. Let s = -1 - -3. Which is the closest to -1? (a) s (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26702?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/(-28) - -1 - (-77)\/11)\/((-4120)\/4326)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 239.87 and -0.097.\nAnswer: -23.26739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34 + (-40 - -74))\/(-2). Factor -6\/19*y**3 + 2\/19*y**4 + k - 8\/19*y**2 + 0*y.\nAnswer: 2*y**2*(y - 4)*(y + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -51173?\nAnswer: 3\/51173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36*27246\nAnswer: 980856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/105 + (-16)\/56)*3. Let x be (-45)\/(-25) + -6 - -5. Factor -6\/5*k - x - t*k**2.\nAnswer: -2*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**7\/280 - q**5\/15 + 5*q**3\/3 + 5*q**2. Let a(r) be the first derivative of o(r). Find the second derivative of a(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 3*d. Suppose 3*l = -l - 140. Let g = 31 + l. Let z be m(g). What is the highest common factor of 16 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -52. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 8*f + 118. Let t(a) = -a**3 + 10*a - 118. Calculate 5*q(r) + 4*t(r).\nAnswer: r**3 + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4 + 57*j**3 + 1743*j**2 + 3303*j + 1620 = 0.\nAnswer: -15, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1104227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -512, -1143, -2024?\nAnswer: -3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1)*162\/1782*(-2 + 1)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1206 or -1207?\nAnswer: -1206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40715745 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 19. Let s be ((-1)\/(-2) + 374\/4)*-1. Let p = -89 - s. Let k be v(p). Is k equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-1)\/3 + 4 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -1. Let x = 58 + -58.51. Let m = 0.51 + x. Sort m, -0.4, y in ascending order.\nAnswer: -0.4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 0. Suppose k = -5*l + i - 58, -2*i + 7 + 32 = -3*l. Let g = l - -12. Solve -5*x + 4 - 9 = -5*n, x + g = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l - 3. Let y be h(3). Let s be 1\/5 + (-948)\/15. Let q be ((-3)\/(s\/y))\/2. What is the nearest to q in -2\/3, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 25. Let m be v(17). Suppose -2*f = -m*f + 24. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 395*o - 79. What is the thousands digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/sqrt(4) + (sqrt(15) - (sqrt(540) - sqrt(540)*3)))\/(sqrt(5) + 4*4*sqrt(5) - (sqrt(45)\/sqrt(9)*3 - sqrt(5))).\nAnswer: 14*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -353\/168 + 15\/7. Let t = -1.1639 + 1.2639. What is the closest to p in -0.3, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.07321\nAnswer: -0.29284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.293 + 0.303. What is the third biggest value in a, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 1. Let z be b(-3). Let y = z + 30. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17d7e (base 15) to base 4.\nAnswer: 102313232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-747)\/(-39) - 19 - (197804\/(-26) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, -5, -376 in descending order.\nAnswer: 29, -1, -5, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/6 - 4*f**3\/3 + 2*f**2 - 100*f. Calculate n(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q - 40 = -64*q. Let c = -512 + 327. Let x = c - -280. Calculate the remainder when x is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473516745?\nAnswer: 3, 5, 13, 2428291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/5)\/((-1)\/5). Are r and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Suppose f - d = -3. Suppose -7 = 3*l + 5. Let s(w) = -w. Let g(o) = -o**2 + 3*o. Give f*g(v) + l*s(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(200) + 0 - sqrt(200) - (0 + sqrt(32)))*4*-5 + -2).\nAnswer: -240*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4686\/39 + (-4)\/(-52)*-2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43faa (base 16) to base 8\nAnswer: -1037652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660004 by 1.\nAnswer: 660004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74010665 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 1. Let s be h(-4). Suppose -3*i + s = 2*i. Suppose i*l - 35 = 37. Calculate the highest common divisor of 48 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 751 + -753. What is the second biggest value in r, -0.101, 1\/4?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 + -268. Is -1246\/15 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.009, -0.05, -1, -29\/5, 0?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*1*4*-4*-5)\/((sqrt(44) + (sqrt(264)*2 + sqrt(264) - sqrt(264))\/sqrt(6) + sqrt(44))*6))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227892 and 4?\nAnswer: 227892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/3 + 4\/6. Suppose 3*h - 4*h + 5*k - 22 = 0, 0 = -l*h + 2*k + 5. Let n(r) = r**3 - 3*r**2 + 4. Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 21 + 7. Let y be (-90)\/(-21) + 2\/j. Solve p + 3*d + 3 = 21, -3*p + 29 = y*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 10.\nAnswer: 4, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -801*o - 2661. Is 80 a factor of c(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myybmywwkmywqyy. Give prob of sequence kq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/(-8)*(-18)\/54?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c - 7. Let z(n) be the third derivative of -3*n**2 - 4\/3*n**c - 1\/30*n**5 - 1\/3*n**4 + 0*n + 0. Factor z(y).\nAnswer: -2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670 = 1315*f - 7245 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-5))\/(v*v**1*v)*((v*v\/(v*((v\/(v\/((v\/v**(2\/9))\/v)))\/v)\/v)*v)\/v*v)\/(v*v\/(v*v*v*v**(2\/17))) assuming v is positive.\nAnswer: v**(1429\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 + 420135*i**2 - 19756730*i + 55488840 = 0. What is i?\nAnswer: -84074, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 15*n**2 - 8*n + 1. Calculate b(-14).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*j + 164 + 12 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484) + 4*(-1*sqrt(484) + sqrt(484)) - sqrt(484))\/(sqrt(98) - sqrt(98)*-3*-2) + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**2 - 913*m - 9114. What is l(92)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -64.7. Sort -3\/8, v, 1 in descending order.\nAnswer: 1, v, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9501 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 166, -543647 in descending order.\nAnswer: 166, -5, -543647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + q + 1. Let k be u(-1). What is the second derivative of -6 + 3*r - 13*r**3 + 34*r**k + 2 - 55*r**3 wrt r?\nAnswer: -204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5794*l = -5870*l - 3040, -4*u = 2*l + 64 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 + 174*z**2 - 2*z - 1. Let i(c) = c**3 - c**2 + 2. Calculate -2*i(t) - s(t).\nAnswer: t**3 - 172*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - (-8 + 26). Let t be (-18)\/(-4)*(-120)\/z. Let t - 3*n**2 - 30 + 3*n = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 3*f**2 - f**2 + 2*f**2 + 1 - 1 + (-2*f + 2 - 2)*(f - 2*f - f) + 18*f**2 - 12*f**2 - 37*f**2.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(262\/(-88) - -3). Suppose -7*g + k = -129. Let d = 40 + -29. What is the remainder when g is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7582 + 35265. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(432) + (sqrt(36) + 4*sqrt(36))\/sqrt(12).\nAnswer: -19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/11 + 2582*w**4 - 1358872*w**3\/11 + 2604152*w**2\/11 = 0 for w.\nAnswer: 0, 2, 46, 14153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -132574537*0.8\nAnswer: -106059629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v + 10 = 0. Let c = 1 - v. Suppose -3*i = 2*q - 13, -c*q - 21 = -4*i - 2*q. Solve a = i*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5965 + 5961. Let w be (-2)\/3 + 40\/15. Let k(c) = -w*c**2 - c**3 + 3*c + 1 + 0*c + 0*c + 2*c. What is k(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t + 2. Let y be w(6). Let p(x) = -2*x**3 - 8*x + 7. Let a be p(1). What is the units digit of (-538)\/(-6) - (-2 - y\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + t - 14 = 0, 3*i - 3*t = 8*i - 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 46874630 to the nearest 100000.\nAnswer: 46900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i + 19. Let h be c(-17). Calculate the highest common factor of h and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1788182286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-1323))\/((-48)\/14) + (155984\/11136 - 14)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -6. Let c(f) = -2*f + 5. Let n be c(-5). Is n > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 23. What is the closest to 3 in -0.4, 4\/5, s?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/(-154))\/((-576)\/(-3360))*-36.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -12*q**4 + 891*q**3 - 14610*q**2 - 11691*q + 3822 = 0.\nAnswer: -1, 1\/4, 26, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -983*l**5\/60 + 527*l**3\/6 - 1252*l**2. Differentiate c(o) wrt o.\nAnswer: -1966*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21 + 18)*((-9316)\/(-3))\/2. What is z rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -10) + -4 - -5 - (12 - 36)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**9)\/((p*p**9*p)\/p))**(-16) assuming p is positive.\nAnswer: p**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 3, 304, -2 in descending order.\nAnswer: 304, 3, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0087 + -18.5913. Let l = -18.6 - k. Let o = -1 + 1. Which is the closest to o? (a) 2\/11 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 = -2*c, 8*c - 3*c + 20 = -5*y. Suppose c = 4*s + s - 30. Suppose -s*j - 185 = -4*u - 5*j, 130 = 3*u + j. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 2)*(7*n + n - 2*n) + 7*n - 6*n - 3*n + (2 + n - 2)*(9 - 4 + 1) as k + d*n and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*v - 313*v + 46*v - 345*v to the form r*v + b and give r.\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 + 126. Let g = 82 + a. Solve -5*f = -h + 20 - 8, g*f + 5*h = -30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 12. Let b(w) = -2*w**2 + 6*w + 9. Let u(c) = 11*c**2 - 34*c - 51. Let g(f) = -34*b(f) - 6*u(f). Calculate l(g(v)).\nAnswer: 16*v**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 - 460*u + 55545 = 0.\nAnswer: -161, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 12. Suppose 2*k - 11 = -o. Let z be 0\/(-4 + 0 + k). Solve -5*p + 0*p = z, -3*m + 3 = 3*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*y - 36. Suppose 0 = -4*w + 2*v + 528, 689*w = 690*w - v - 134. Calculate the smallest common multiple of w and y.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, 514, -2, -1 in increasing order.\nAnswer: -2, -1, -0.5, 0.5, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-10336)\/51)\/(-32)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/143*(-143)\/(-52). Let g = -80\/9 + 26\/3. Which is the second biggest value? (a) -8 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -93, -297, -607, -1023, -1545, -2173?\nAnswer: -2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 24 = 0. Let h(c) = c**2 + 8*c + 16. Let q be h(-9). Suppose w*d - q = d. Solve 3*u - 3*r = -8*r - 10, -d*r = 4*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(304) + 1*sqrt(304))**2 + ((sqrt(76) - (sqrt(76) + 2 + sqrt(76)))*5*-1)**2.\nAnswer: 152*sqrt(19) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a7654 + e2?\nAnswer: 3a7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*n - 68*n - 23 = 59*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-22) - (-2)\/11. Suppose -r + 2 + 58 = h. Suppose -v - 4*v = -r. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57755*u*z - 80746*u wrt z?\nAnswer: 57755*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -99. Suppose z*l = 25*l - 750. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18356079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1.383 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -701\/3 + 233. What is the second biggest value in 0.2, 2\/11, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 - -157.000073. Round j to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7287, -11956, -16623, -21288, -25951, -30612?\n\"Answer: f**2 - 4672*f - 2616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33 - (-3 + 6)\/(-3). Suppose -5*w + g = -56. Suppose 12 = 3*u - w. Solve -u = s - 5*y, s + 3 = -2*y - 0*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30792 - -30797. Solve 384 = -s*w + 414 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322014 = 57*k - 51*k + 27*k. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3312 or 9544\/7?\nAnswer: 9544\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 41 + 17)*(2*v + 0*v + 4 + v).\nAnswer: 27*v + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 945*i**4\/4 + i**3\/3 - 3*i**2\/2 - 3*i - 11. Let y be v(-1). Is -1 + y\/3*21\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 3 (c) -0.015 (d) -2\/3 (e) 6.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 + 5 - 5 + (3*w - 5 + 5)*(5*w - 1 + 1) + (w + 2*w - 2*w)*(-3*w - w + 3*w).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*o + 105*o - 54*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28306480 and 27740.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/9 + 4*p**4\/3 - 20*p**3\/9 - 40*p**2\/3 + 2*p + 12 = 0. What is p?\nAnswer: -6, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 4. Determine d(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 7669*f**2 - 61461*f - 359. What is x(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, 166, 562, 960, 1360?\nAnswer: 1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 397658*n. Let a(l) = 46*l**2. What is d(a(q))?\nAnswer: -4232*q**4 - 18292268*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4266?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277448045.\nAnswer: 5, 7, 157, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -60*t**2 - 18. Let u(b) = 68*b. Give f(u(k)).\nAnswer: -277440*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 18*r + 18. Let b be (63\/(-3) - -4)\/(-1). Let c be k(b). Is (c + 52)*(12 - (-3 - -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4240 and 4240?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782992369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -990 and 0.39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*u - 56 = 363*u. Calculate the common denominator of -73\/10 and u\/70 - 151\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6396)\/(-328) - ((-2)\/4 - -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 22. Let p be m(-9). Let n = 0.93 - 0.83. Which is the nearest to n? (a) 3\/2 (b) p (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1107253 and 19649.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7498530 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 0.09, 1\/54, -3\/2 in descending order.\nAnswer: 8\/9, 0.09, 1\/54, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*z = 15, 5*f - 5 = 2*f - 5*z. What is the smallest common multiple of f and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107536106.\nAnswer: 2, 1373, 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 19, -7, 4 in decreasing order.\nAnswer: 58, 19, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - 4*o - 3*o**2 + 1355 - 1334 + 6*o - 4*o**3 to v*o**3 + n*o + y*o**2 + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5238072*t**3 - 1133920*t**2?\nAnswer: 31428432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1669205 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -228.3 - -229. Which is the biggest value? (a) 5 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 27 = 83. Calculate the remainder when p is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Let n = -7 + x. Which is the nearest to -2\/5? (a) n (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 2*n + 2. Let x(h) = -h + 1. Calculate g(w) - 3*x(w).\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f + 2*c - 6, f = -3*c + 5. Let a be 10\/1*1\/f. Suppose 1 = -3*g - a*h + 39, -3*g + 34 = 4*h. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 + -8 - 1) - (2 + 19 + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521 - -1125. Let g = j - 236. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1998\/7 - -285. Let g be 7 + (1\/(-1) - 1). Let m be (-292)\/(-657) - 4\/6. Which is the nearest to g? (a) s (b) -2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6 + 40*l**2 + 4*l - 39*l**2 - 3. Let o(t) = -t + 5. Let k be o(12). Determine s(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18 - 19)*(4 + -12204)\/2.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 262\/(-12) - (-12)\/(-72). Let n = 0.08 + -0.25. Let x = -0.17 - n. Is x at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 2*f**3 - 6*f)*(-20*f**2 + 0*f**2 - 38*f**2 + 15*f**2).\nAnswer: -86*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {c: 3, j: 5, o: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 965 + -935 + (1 + -2 - 14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7170 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n**2 - 3*n - 1. Let s be a(2). Suppose -3*w - 782 = -s*w. What is the remainder when w is divided by (5\/4)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.7\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568*d**3*t**5 - 2769*d**3*t + d**3 + 33*t**2 - t wrt t?\nAnswer: -11360*d**3*t**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + s = 6*s - 20, 10 = -2*p + 5*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v + 559*v - 2708 = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 14. Let i(o) = 2*o**2 + 5*o - 2. What is the tens digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24383322*f**2*q**5 + 3974*f**2 - 3347*f*q wrt q.\nAnswer: -487666440*f**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -2, -301, 0.1 in ascending order.\nAnswer: -301, -2, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.025 - 18. Let k = 0.425 - m. What is the fourth biggest value in 0.2, -2\/11, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/2*3\/((-5)\/((-30)\/18)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 510 + 35. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -16*f - 20. Suppose 3*r + 4 = -5*v + 1, -1 = r + v. Let m(o) = -o - 1. Let k(w) = r*a(w) + 20*m(w). Let x(y) = -2*y**2. What is k(x(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 - 1916911*j\/5 + 3674547781921\/10.\nAnswer: (j - 1916911)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73983 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/3))**(-7))**(-2\/15))**48 assuming w is positive.\nAnswer: w**(896\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 2*g**2 - 2 - 7*g + 10*g - 2*g**4 + 4 to d*g**2 + x*g + p + y*g**3 + o*g**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*k + 5 = 0, k + 34 = 5*z + 43. What is the closest to z in -107, 0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**5 + 0*x**3 + 1\/2*x + x**2 - x**4 + 0.\nAnswer: -x*(x - 1)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1225536912 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2463*f**2 - 60*f - 615. Let j(o) = 10*o + 1. Let t(w) = g(w) + 6*j(w). What is the derivative of t(r) wrt r?\nAnswer: 4926*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 10:50 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f + 11*f + 0*f - 31*f**2 in the form t*f**2 + w*f + k and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 18*o**2 - 1\/168*o**6 + 0 - 1\/1470*o**7 + 5\/21*o**3 + 6*o + 1\/140*o**5 + 17\/168*o**4. Factor h(c).\nAnswer: -(c - 2)*(c + 1)**2*(c + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -25\/34887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*o**3 - 15044962*a**2*o**2 + a**2*o + 47*a + 234297*o wrt o?\nAnswer: 18*a**2*o - 30089924*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = 2. Suppose -4*c = f + 37, 99 = -r*f - 0*f - 3*c. Let t = f - -103. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w**2 - 3*w**3 + 14*w**2 + w**3)*(3 - 1 - 1) to j*w**2 + k*w**3 + h + b*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44703591.\nAnswer: 3, 17, 113, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**2 - 128 - j - 17*j**2 - 7*j - 4*j**2 + 3*j wrt j.\nAnswer: -34*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**2 + 6*o**4 - 3*o**4 + 2*o**4 - o**2 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*f**2 + 3*f**4 + 41*f**2 + (-2*f**3 + 0 + 0)*(-1 - f + 1) - 5*f + 2*f**4 + 5*f + 11*f**2 - 5*f**2 + 2*f**4 - 9*f**2 + 7*f.\nAnswer: 9*f**4 - 3*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 458813 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*l + 24 = 0, -13*l = 5*w + 141 - 18. Let s(x) = -x**2 + 9*x - 12. Let v be s(8). Let y = v + -4. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - 2*k + 4*k - 2*k + 0*k - 5 + 5 + 2*k + (2 + 0 - 4)*(-3*k - 3*k + 4*k) + 2 + 2*k - 2 + k + 1 - 1 - 9035*k + 5125*k + 5356*k.\nAnswer: 1455*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 36624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/205 and 21\/410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i - 57*i**2 + 55*i**2 - i**3 - 15 - 3*i. What are the prime factors of w(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 r when three letters picked without replacement from {r: 6, b: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 178*v = 163*v + 30, o = -v + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1 - 9*m - 7 + 3*m. Let d(q) = -q - 1. Calculate 16*d(o) - 3*z(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0, -57, 3.\nAnswer: -57, 0, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 425042 (base 7) to base 11\nAnswer: 50479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urc when three letters picked without replacement from uzzruc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61 and -49130.9?\nAnswer: -2996984.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*f + 36275 = -32360 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6093274761 and -1.5.\nAnswer: -2.1093274761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -881*b + 156. Let c(t) = 1762*t - 287. Give -6*c(o) - 11*p(o).\nAnswer: -881*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 7*w**2 - 3*w - 4. Determine y(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p. Let d(y) = -20*y. Let f(v) = 5*c(v) - 2*d(v). Let h(t) = -54*t. Determine f(h(l)).\nAnswer: 270*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360, 481, 386, 81, -428, -1135, -2034?\nAnswer: -3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 12. Suppose r = g + 16, -g - 2*r - 24 = g. Let h = 6 + g. Let w be y(h). Which is the nearest to 0.1? (a) 2 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -254 - -237. Which is the third biggest value? (a) 3\/4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 8*h + 11*h)*(-2*h**2 + 2*h - 2*h + (4*h - 3*h - 2*h)*(0*h + h + 2*h)).\nAnswer: -50*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8586*q + 7 + 8586*q + 11*q**2 in the form p + a*q + g*q**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 78. Let h be 2 + -4 + (6 - y). What is the units digit of 1\/((-3)\/h + 21\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748271, 748276, 748281, 748286, 748291?\nAnswer: 748296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-4)\/6*-5))\/(1321\/66050)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3194 + 150. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13650142\/643 smaller than 21229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)\/(l**(-2\/5)\/l) assuming l is positive.\nAnswer: l**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 625673?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113615 - 113641. Suppose 4*f - 3*f = -23. Is x at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 5*k**5 - 2*k**5 - 4*k**5 + 3*k**5 + 3*k**5 - 4*k**5 + 0*k**5 + 3*k**5 + (3*k - k - k)*(-4*k**4 + 14 - 14).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 15*g - 48. Let r be o(10). Solve -9*k - r = 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181183 - -0.54?\nAnswer: -181182.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -54.9876. What is q rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 44, 94, 182, 320, 520, 794, 1154?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36554162466 - 34*f**3 + 36554162466.\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163192, 163188, 163184?\nAnswer: 163180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(108)\/sqrt(3)*1 + -4*sqrt(3600) + sqrt(3600) + sqrt(36))\/(-5*2*sqrt(1452) + 1*(sqrt(1452) - sqrt(1452)*-1)).\nAnswer: 27*sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3 + 17999*b**2 - 143944*b + 287856 = 0.\nAnswer: 4, 17991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13\/3, 2, 7, -5, -2.4, -11.\nAnswer: -11, -5, -13\/3, -2.4, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 1462?\nAnswer: 1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50128577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = 17*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*i - 55 = 178*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -5, -0.13, 0.2, -1\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5 = -n. Suppose 4*i - 12 = i, -4*x = -2*i + 4. Solve n*d - d - 3 = -5*m, -3*m = d + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20020 and 30355?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 2*b - 2. Let j(i) = -10*i**2 - 7*i + 7. Let k = 19 + -17. Calculate k*j(n) + 7*w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -136*z + 918. Determine v(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365877005?\nAnswer: 5, 13, 5628877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from llllxoxlmmlxoll.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.83 - -18.863008. Let o = -0.033 + f. What is o rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 + -231.7. Sort -0.15, -2, o in descending order.\nAnswer: o, -0.15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*k**6 - 29*k**4 + 21*k**2 + 12*k + 5?\nAnswer: 10560*k**3 - 696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5\/368, 3, 1163?\nAnswer: -5\/368","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 99*s - 3 - 88*s + 79*s + 89*s.\nAnswer: 176*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1)*5 - (1*(sqrt(13) + 1) + sqrt(13)*2 + 4))**2.\nAnswer: 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 379682923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224642, -449279, -673918, -898559?\n\"Answer: -t**2 - 224634*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/290784 and 53\/73008.\nAnswer: 34021728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 326 - 2*v**2 + 193 - 113 + 320 + 7*v**2 as f + q*v + n*v**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 15*i**2 + 14*i + 19. Calculate t(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 23*j - 225. Give v(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.6858 times 0.14?\nAnswer: -50.356012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(252) + 1).\nAnswer: -4 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12612 (base 8) in base 6?\nAnswer: -41310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54543 (base 7) in base 10?\nAnswer: -13653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-36) + (-436)\/1962)\/(-3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.16 or -5\/4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 24 = -30*k. Let x(g) be the first derivative of -3\/2*g**4 + 0*g + g**k + 3 + 0*g**3. Find the second derivative of x(n) wrt n.\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g. Let s(v) = 2*v**2. Let a(b) = 8*b**2. Let c(k) = -2*a(k) + 6*s(k). Give j(c(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 2155*c**2 + 70200*c + 39730500 = 0. What is c?\nAnswer: -109, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 51.5. Let h = -0.6 + f. Which is the nearest to h? (a) -1\/3 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 5*g - 13, -2*g = -5*o - 19. Let i be 12*g*(-2)\/(-12). Suppose 0 = i*r - 5*r + 211. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 - 168\/165. Let w = -167\/110 - h. Which is the nearest to -1? (a) -1 (b) w (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*g + 348*g = -2370003. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)\/(x\/(x**(-2\/9)*x)))**(-7\/5)\/(x**3\/(x**(1\/4)\/x*x)*(x*x*x**(-2\/5))**(-49)) assuming x is positive.\nAnswer: x**(13601\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -7*u + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 752.7193km?\nAnswer: 752719.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8148837km in millimeters?\nAnswer: 814883.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*x + 8, 6 = -6*x + 9*x. Suppose 2*f - 7*f - 25 = 0. Put 1, j, -2, f in increasing order.\nAnswer: f, -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 1, f: 4, c: 2}. What is prob of picking 1 f and 1 c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 5*m**3 + 0*m**3)*(4 + 0 - 6) + 0*m + 2*m - 376*m**3 - 28*m**2 + 377*m**3 + 2.\nAnswer: -3*m**3 - 28*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(187) - (sqrt(187) + -3*-2*sqrt(187) + sqrt(187)))\/((sqrt(704) + 2*sqrt(704))\/(sqrt(16)\/(sqrt(4)*-2))).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3775311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -285773153977 and 17.41.\nAnswer: -285773153959.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/30 + y**4\/12 + y**3\/3 - 9*y**2. What are the prime factors of r(3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547591 to the power of 1\/2, to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22113201101 (base 4) to base 15.\nAnswer: -38a402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3.4, 2\/45, 836, 0?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17702 and 68303.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = -5*d - 127. What is the smallest common multiple of d and 12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 33*p - 234 - 169 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 65 = 4*t. Suppose -5*j - 15 = -x, -3*x + 3*j = -8 - t. Suppose -4*f + 3*s = -2*s - 35, 6 = -2*s. What is the greatest common factor of f and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217031 is divided by 195?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from 100680508.0997.\nAnswer: 100680516.0997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 5*a**2 - 3 + 4)*(-575*a + 2865 - 2865).\nAnswer: -2875*a**3 - 575*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/45 + (-6 - -9) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-39)\/15 + (-3)\/(-5). Suppose 4 = 5*v - o. Let n(d) = 105*d**3 - 3*d**2 + 3*d - 1. What is the tens digit of n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = 0. Suppose 3*b = -d*w - w - 8, 28 = 4*w - 3*b. Suppose -4*r**2 + r**4 - r**2 + 0*r**2 + w*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**8\/840 + p**5\/60 + p**3 - 2. Let u(h) be the third derivative of c(h). What is the second derivative of u(j) wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - b + 2*b + 4*b - b - 4*b + (4 + 2*b - 4)*(2 - 1 - 2) - b + b - b + 4*b + b - 4*b + 3*b - 5*b + 3*b + (-818 + 818 + 169*b)*(2 - 2 - 3).\nAnswer: -510*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 83, -2\/5, 0, -2\/19, 0.6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 2012?\nAnswer: -8048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -43. Let i(o) = -o**3 - 6*o**2 - 4*o - 7. Let a be i(-5). Let m be a\/d*(0 + 25). Solve 0 = 3*k - 8 + m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6187 divided by 101383\nAnswer: 6187\/101383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21334 - -4?\nAnswer: -21330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/10048 and 77\/60288.\nAnswer: 60288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y - 3*w + 4 = 0, 5*w = -5*y. Let f be 1\/5*(0 - y). Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(98))**2 + 0.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 541236 and 1908.\nAnswer: 1623708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*(z\/z**(-3)*z)\/z*z)*z)\/(z\/(z*z\/z**(-11\/5)*z)*z*z))**(2\/25))**(-16\/7) assuming z is positive.\nAnswer: z**(64\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 2*p**4 + 2*p**4 - 2*p**5 - p**4 + p**4 + (-2*p**4 + 5*p**4 - p**4)*(-3*p + 0*p + 2*p) - 7*p**2 + 7*p**2 + 2*p**5 + 3.\nAnswer: -3*p**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4091457 grams to tonnes.\nAnswer: 0.0000004091457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90257\/29169 - -4\/4167. Find the common denominator of y and -4 + 10 + (-1336)\/48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d5ac910 + -2?\nAnswer: -2d5ac912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314 and 2355.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 7, j: 1, p: 6}. What is prob of sequence php?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16294144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262118049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 0)*27\/(-6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 889474 or 889339?\nAnswer: 889474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-22508)\/(-1105)*5 - (-4)\/26 and 7.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -16, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 1. Let i(x) = -5*x - 3. Let q(k) = -16*k - 10. Let z(c) = 11*i(c) - 4*q(c). What is 14*r(m) - 2*z(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6348881374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 1. Let x be w(-1). Let z = 4 + 0. Suppose x - z = -k. Solve -2*s = 2*v - 8, 12 = k*s + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 2*f - 3. Determine n(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 165. Let w be (h\/(-9))\/8*(-3)\/(-2). Sort 13, -4, w in increasing order.\nAnswer: -4, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*11\/(-2387)*(-2 - -1)\/1?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17 = -15. Suppose 3*n + n = i. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 3*n**2 - n + 1. Let h be g(-3). Suppose -284 = -5*y + h*m - 113, 0 = -4*m + 4. Let c = y - 10. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 9. Suppose 3*g = 2*d + d - 18, d + s*g = -10. Is 5 a factor of (-715)\/(-30) + d\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/2, -113, 4.\nAnswer: -113, -1\/4, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 536*z + 1154*z - 2 + 319*z + 0 - 529*z to o*z + g and give o.\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 - 10*o + 3. Let d(s) = 8*s**2 - 21*s + 7. Let p(j) = -6*d(j) + 13*t(j). Suppose 3*x + 9 = 3*m, 2*x = -2*x - 20. Is p(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-87)\/(-2))\/(4 + 130\/(-40)). Suppose -224 = -6*n + q. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000101110011001 (base 2) to base 14.\nAnswer: 159a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g*g**(-4)))**(2\/29) assuming g is positive.\nAnswer: g**(12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:28 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46661 + -5?\nAnswer: -46666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 plus -18.7332264807?\nAnswer: 67.2667735193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*o - 24, -16 = 5*f + 5*o + 14. Let l = -270.4 - -270.6. Which is the biggest value? (a) l (b) f (c) -10 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72634, 145321, 218008, 290695, 363382?\n\"Answer: 72687*n - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525211?\nAnswer: 263, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:38 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 8:22 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppptpppppptpppptpp. Give prob of picking 3 t.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffpiiiifffiiip. Give prob of picking 1 f, 1 i, and 1 p.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/2)*q)\/(q*q*q**11))**(1\/16) assuming q is positive.\nAnswer: q**(-21\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 3*t**2 - t + 2. Let b be u(-3). Suppose 0 = -3096*z + 3085*z + 33594. Suppose -2*d + 3*g = d - z, 0 = -4*d - b*g + 4072. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 29 + 35 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2. Let t(c) be the third derivative of 0*c**4 + 10*c**2 - 1\/30*c**5 + 0*c + 0*c**3 + 1. Give m(t(o)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*n - 488*n - 351 = 0. Suppose -5*m + 52 = -8. What is the remainder when n is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 - (-1 - -1) - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n - 21*n + 4*n - 5*n + 2*n - n + n + n - n + (2*n - 3*n + 3*n)*(0 + 3 - 2) + 2*n - 6*n + 2*n + n + 0*n + 0*n.\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3640816 and 0.27?\nAnswer: 3640815.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(4 - 6 - 1)*(-j + 0 + 0)*(1 - 1 + 35*j)*(3 - 1 + 2) in the form k*j + n*j**2 + p and give n.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*y + 2, -3*t + 7 = 99*y - 101*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 11548803*g**2 - 11114588217585*g + 33343660713609.\nAnswer: -3*(g - 1924799)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + (1 - 13 - (-3 + 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r - 3. Let b be i(-7). Suppose 220 = 4*k - 3*z - 119, -2*k + 162 = -b*z. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*i - 14, -6 = 4*i + 2. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:48 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 37.042. Let g = o + -0.0481. Round g to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let a = 133 - 131. Let u(s) = -7*s + 3. Let n(m) = m + 2. Let x(g) = a*n(g) + u(g). Give t(x(q)).\nAnswer: 10*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16168886 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let r = -29 - -36. Calculate the lowest common multiple of a and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.387 and -1.\nAnswer: 4.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126662 to the power of 1\/2, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 115 - 101. Let j = -89 - -142. Suppose 0 = 2*d + 3*o - j, -d + 3*o = -38 + i. What is the smallest common multiple of 14 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73128887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9342 and 2268?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/20)\/(3\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 7:19 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/12 - 21*g**5\/40 - 19*g**4\/24 - g**3\/4 - 13*g - 19. Factor c(b).\nAnswer: -b*(b + 1)*(b + 3)*(5*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1118 + 1112. Let d(l) = 25*l + 161. Let n(j) = j**2 - 2*j + 2. What is the remainder when n(-3) is divided by d(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:26 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (1 - (-26 - 5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2, 19927, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193776 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 4*v + 4. Let t(g) = 0*g + 3187 + g - 3188. What is -3*h(w) - 12*t(w)?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n*n\/n**(-5)*n))\/n)\/n**3*(n**(-1\/4))**(26\/5))\/(((n**(-3\/16)\/n)\/n)\/(n**(4\/9)*n))**(-34) assuming n is positive.\nAnswer: n**(-49603\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*-1*(-3)\/(-66)*(-5328)\/(-222)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 17, z: 3}. Give prob of sequence hhh.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -10*i + 120. Suppose -1 = -s + i. Is s at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 + b**4)*(-28 + 25 + 72)*(-4*b - 13*b + 8*b).\nAnswer: -621*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4 - 4 + 8*a**2. Let y(b) = 6*b**2 + 28*b + 4. Let q(v) = -2*v**2 - 7*v - 1. Let u(o) = 4*q(o) + y(o). What is k(u(j))?\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3032890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 34 = 0. What is the lowest common multiple of 16\/(-64) + 29\/2*(-13)\/(-26) and j?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttyt. Give prob of sequence tt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*t**2 + 3363*j**2*t + 22*j**2 - 2981*j*t**2 - 8*j wrt j.\nAnswer: 4*t**2 + 6726*t + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2827*l + 1558 = 2745*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24.1*-0.3\nAnswer: 7.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let l(t) = 2*t**3 - 2 + 10 - t**h + t. Let b = 0 + 0. Calculate l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/((-9)\/438) - (-5 - -9).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -26620*h + 165. Let c(t) = -651*t + 4. Let l(z) = 165*c(z) - 4*w(z). Let j(y) = -3*y. Determine l(j(k)).\nAnswer: 2805*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20943 take away 1557670.301?\nAnswer: -1578613.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -455360 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -27*p**8\/28 + 5*p**4\/12 - p**2\/2 + 19*p + 3. What is the third derivative of j(s) wrt s?\nAnswer: -6480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 25*x**2 - 5*x - 18. Let z(l) = l**3 + 23*l**2 + 6*l + 17. Let m(q) = 6*t(q) + 7*z(q). Calculate m(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62527*c**2*m**2 - 2*c**2*m - 116*c**2 - 100*c*m - m wrt m?\nAnswer: -125054*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**4 - a**2 + 1. Let r(h) = -h - 12*h**3 + 0*h + 3 - 3*h**5 - 8*h**4 + h**4 - 39*h**2 + 30*h**2. Let p(j) = -5*r(j) + 15*x(j). Factor p(m).\nAnswer: 5*m*(m + 1)**3*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 702.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 296\/10 + (-12)\/(-30). Suppose 9 = p - u. Let n be 12\/(-20) - p\/(-15). Sort -3, -2, n in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 497619908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5829021*-1\nAnswer: 5829021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*b**3 + 6540*b**2 + 8768*b + 2928.\nAnswer: -4*(b - 183)*(3*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:47 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by -3239?\nAnswer: 232\/3239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 9.6371\nAnswer: 1.92742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-7)\/(126\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 14) to base 7\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.7, -0.06, 0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Suppose -4*i = 4*b - 92, -i - 2*b = -j*b - 15. What is the tens digit of i - 6 - (1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 + 3*y**2 + 3*y - 4. Let l be (0 - -69)*15\/(-45). Let j = l + 20. Does 22 divide m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-12)\/2))\/(-25*14\/210).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 20496402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000232381512 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132559 + -93581. Is s a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.0285.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388990083, 388990082, 388990081?\nAnswer: 388990080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 293826 and 418137.\nAnswer: 10871562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -45. Which is smaller: k or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -4) + (224 - 161) + -41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*z**3 + 0 + 48*z - 8*z**2.\nAnswer: z*(z - 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -174 + 41a?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*o**2 + 74*o**2 + 42*o**2)*(15 - 12 - 28 - 23).\nAnswer: -1824*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50804404 and 1064?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -548 + -2511?\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 29*q**2. Let f(i) = 233*i**2 + 2. Let g(p) = -6314*p**2 - 55. Let h(n) = -165*f(n) - 6*g(n). Calculate x(h(b)).\nAnswer: 9126909*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009219 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7089, 14897, 22685, 30453, 38201, 45929, 53637?\nAnswer: 61325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3606, 3741, 3886, 4047, 4230, 4441?\nAnswer: 4686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/22)\/(303\/202).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -81 (b) 0.5 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 4) to base 12.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(6*(-68)\/16)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 67. Let v be y(13). Let d be (0\/(-1))\/((5 - v)\/(-3)). Solve 4*s - 3*p - 1 = d, 4*s - p = 5 + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04214 + -26.84786. Round c to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 23 = 2*i, 215400*i = 215405*i - 4*y + 68 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 28. Let n = r - 8. Let l be 22 + -11 - 19 - (-7 + 14 - 14). Which is the nearest to -2? (a) -7 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 12*c**2 - 5 + c**2 - 3*c in the form l + q*c + d*c**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497310385.\nAnswer: 3, 5, 3911, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 22348*r - 89328.\nAnswer: -4*(r + 4)*(r + 5583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u. Let m be z(-6). Let x = -5 - m. Let a(d) = -3*d**3 - d**2 + 3*d + 2. Let s be a(-3). What is the greatest common divisor of x and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7973 rounded to two decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 14*p + 15. Let a be z(13). Suppose 19 = a*f - f - t, -4*t + 56 = 2*f. Let j = -30 + f. Is -8 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155176 - 155176 - 3*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q. Let p(b) = -b**2 + b - 2. Let h be p(q). Let f be h\/3*(-60)\/8. Let y(u) = -2*u + 5. Determine y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o. Let p(v) = -2*v**2 - 6*v. Let y(z) be the first derivative of -z**3\/3 - z**2 + 92. Let j(f) = p(f) - 3*y(f). Calculate j(h(m)).\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14469 rounded to three decimal places?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 21*i**2\/4 - 27*i\/2.\nAnswer: 3*i*(i - 9)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -11302001320?\nAnswer: -11302001332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 6602490.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -46 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/120 - z**4\/6 + 5*z**3\/4 + 10*z**2 - 5. Factor y(l).\nAnswer: (l - 5)*(l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 1:09 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 8*t - 3. Let o be q(-5). What is the units digit of (o*(-6)\/(-9))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/5 (b) -0.1 (c) -0.05 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54395*p - 53830*p = 12995 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039.94 rounded to the nearest ten?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 w when four letters picked without replacement from wwwwwwpwwwwpwwpw.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829.165 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 1 (b) 2 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = r + 168. Let j be 6\/(-12)*(4\/r - -1). Let d = 0.4 + -1.4. What is the third smallest value in j, d, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58999*n + 7174 = 59153*n - 1758 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1519, -3039, -4559, -6079, -7599, -9119?\nAnswer: -10639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 - 2*k - 14. Let c be p(-7). Suppose -7*z + c = -70. Let v(h) = h**2 + 7*h + 9. What is the remainder when z is divided by v(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(11) - sqrt(11)) + -4.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d**2 - 13*d + 8. Calculate the remainder when t(6) is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55750823*m*v + 52029028*v with respect to m.\nAnswer: -55750823*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222697 - 6714616.\nAnswer: -6491919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9*(-8 + (-14)\/(-28)). Let o(x) = 2*x**2 - 13*x + 26. What is o(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, y: 1, d: 8, k: 3, h: 1, s: 2}. Give prob of picking 1 s and 1 y.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - p**2 + 6*p**2)*(p + p - 4*p) + (5*p + 4*p + 2*p)*(3*p**2 - p**2 + 0*p**2).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5396049814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 - -6d0b38?\nAnswer: 6d0ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 68*f - 14. Is 19 a factor of g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 13011*o**2 - 42262920*o - 381420900.\nAnswer: -(o - 6510)**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010110 - 110110010010?\nAnswer: -101111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26394?\nAnswer: 2, 3, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2523938259230 and 0.5.\nAnswer: 2523938259230.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 - -413. What is the highest common factor of 399 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.2, -1\/4, -0.3607?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106655, 104085, 99801, 93803, 86091, 76665, 65525?\n\"Answer: -857*s**2 + s + 107511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 790*m**4 - 42125*m**3 - 784940*m**2 - 1446640*m - 703040.\nAnswer: -5*(m + 1)**2*(m + 52)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/2 in -2, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/75387 and -61\/4689?\nAnswer: 117829881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-9)\/36*2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8451 is divided by 2755?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362310 is divided by 1088.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64187 is divided by 12824?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17675 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*l + 4, -3*t + 11*l = 15*l - 13. Sort -5, 134, -3, t in decreasing order.\nAnswer: 134, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + t = 3*t - 18, 9 = 5*x - 4*t. Is 2703\/x + 20\/50 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 150\/2 - 30\/10. Sort 3, 1, s in increasing order.\nAnswer: 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 10 = 2*n. Suppose 0 = -2*v - 2 - 4. Let o be n\/(v\/(30\/4)). Solve o*t = f - 17, 5*t + 4 = 3*f - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 - 83*c**3 - 32*c**3 - 11*c**3 - 260.\nAnswer: -126*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43356424 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280 - 277. Suppose -2*c + 6*c - 2*y = -10, 0 = -2*y + 6. Sort m, 2, -6, c.\nAnswer: -6, c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395 + 394.87. Which is the biggest value? (a) -3 (b) 3\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -2.4. Let k = 0.6 + -4.6. Which is the third smallest value? (a) k (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -21*x + 25. Let j(r) = -18*r + 23. Calculate 3*j(d) - 2*u(d).\nAnswer: -12*d + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r*r\/r**(1\/3))\/r)\/r*r*r)*r)**(1\/20)\/((r\/(r\/(r**0\/r*r)))\/(((r\/(r*r*r\/r**(-2)))\/r)\/r)) assuming r is positive.\nAnswer: r**(-359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -16\/3, -28.\nAnswer: -28, -16\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001000011 (base 2) to base 16.\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24735 from 0.3.\nAnswer: 24735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(5\/(-12))*(-2780)\/2224. Let j(o) be the second derivative of 0 + 4\/9*o**i - 28*o + 7\/6*o**2 + 1\/36*o**4. Factor j(s).\nAnswer: (s + 1)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -361, -1082, -1803, -2530, -3269, -4026, -4807?\n\"Answer: -s**3 + 6*s**2 - 732*s + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and ((-6)\/(-5))\/((-89)\/10 - -9)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -74.78. Let y = m + 24.78. What is the nearest to y in -5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409 by 19.\nAnswer: -409\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t + 2. What is the units digit of a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22716.6516 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -369*s. Let i(z) = -13*z. Calculate r(i(k)).\nAnswer: 4797*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 - -166. Let o be (w\/20 - -3)*-100. Let j = 11 + o. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - -5.31. Let v be 3*2\/((-54)\/9). Let z be (-23)\/(-21) - 2\/3. What is the closest to v in s, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 + 5.84.\nAnswer: -143.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**5 - p**4 + p**4)*(-3 + 2 - 1 - 1 - 5 + 4 + (4 - 4 + 1)*(-2 + 3 + 0) + 2 + 3 - 4 - 3 - 3 + 2).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4979856917580 - -4979856922507.000002051. Let p = 4927 - k. What is p rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - h = -2*y + 4, -16 = 4*y - h. Let b be -6*(-2)\/y - -137. Is (b\/5)\/((-3)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w)*(-2 + 1 + 6)*(1368 - 1368 + 36*w).\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x. Let f be b(1). Let p be (-16)\/(f + 2)*6. Suppose 5*n - n - 2*l - p = 0, -l = 2. Solve 3*u + n = 7*v - 3*v, -20 = 4*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 19 - 6 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 313, -14\/13, 5, -2 in descending order.\nAnswer: 313, 5, -14\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - 2*k + 7*k - 3*k)*(-45*k - 9 + 9).\nAnswer: 225*k**3 - 90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2, -3, -36 in decreasing order.\nAnswer: 5, 2, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409395\/2290823348 - 1\/210148. Let o be 4665448\/(-981090) + 1\/5. Let u = x + o. Find the common denominator of u and -85\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 57. Let m be (3 + -9)*(1 + k) - 0. Let c = m - -99. What is the remainder when 128 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + (-3 - 0) - (-3299 + 3355)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 6. Suppose 3*l - 32 = -4*f, -o*f + 36 = l + 3*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4321 and 0.108.\nAnswer: 466.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3619\/42)\/11 + (-1)\/(-6). Find the second derivative of 8*c**4 + 4*c**4 + 2*c - z*c**5 + 146 - 150 wrt c.\nAnswer: -160*c**3 + 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8338665.\nAnswer: 3, 5, 631, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + s)*(-s**2 - 2*s**2 + 5*s**2) + (6*s**2 - s**2 - 4*s**2 + 7*s)*(9 + 5*s - 9).\nAnswer: s**3 + 35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -284*f - 974. What is g(-9)?\nAnswer: 1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Suppose 0 = s + 2 - 3. Sort l, -2, s in ascending order.\nAnswer: -2, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Suppose 2*h = -3 - 17. Let m be (-23)\/(-5) + 6\/h. Let s(f) = -m - f - 3*f + 2*f. Determine 4*g(p) + s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 612521 divided by -905\nAnswer: -612521\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 17*p**2 + 40*p - 28. Is x(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521.56 rounded to zero decimal places?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1806, 690, -1172, -3780?\n\"Answer: -373*z**2 + 3*z + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 + 218 - 60) + -149?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10464 - -560. Suppose 0 = -6*t - 238424 + m. What is t rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 - -5?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + 10*k + 3*p - 10, -44*k = -40*k + 5*p - 47 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89 - -10?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 323445 (base 6) to base 9\nAnswer: 40612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 - 4*w + 3. Let r be k(-4). Let h(a) = -a + 3*a**3 - 4*a**3 - r*a**2 - 7 + 3. Let p = 9250 - 9253. Determine h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(152)*-1*4*4)\/(sqrt(128)\/(sqrt(64) + sqrt(4))))**2.\nAnswer: 30404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/12 + (-9)\/(-12). Suppose 3*h + 16 = -5*j, 4*h - j = -d*j + 17. Sort h, 3\/5, -1\/5.\nAnswer: -1\/5, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 370599.\nAnswer: 741198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 752846, 752843, 752840, 752837?\n\"Answer: -3*k + 752849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 + 301*s - 266. Give v(-27).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m - 15. Let y(l) = l**3 + 2*l**2 - 4*l + 1. Let b be y(m). Suppose -i + 20 = b*i. Solve o + 20 = -i*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 303?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**2 + 1. Let h be x(1). Let o(k) = -k**2 + 8*k + 8. Let p be o(h). Solve 0 = -3*m + 20 - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 156*(0 + (-4)\/(-6)). Let a(z) = -z**3 - 12*z**2 - 4*z - 208. Let p be a(-13). Calculate the greatest common factor of p and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-142 + 2151 + 2182)*(2*t - 4*t + t) as r + j*t and give j.\nAnswer: -4191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18838 and -86?\nAnswer: -1620068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + -170. Let c = q + 192. Is -40 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3732 (base 13) to base 9\nAnswer: 11643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4486 + -0.0514. What is the second smallest value in 0, -3, d, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - 2*j**2 + 2*j**2)*((-6*j + 3*j - j)*(3*j + 16*j - 8*j) + (2 - 2 + 2*j)*(-2*j + 3 - 3)) as p*j + u*j**2 + z*j**4 + o*j**3 + f and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -28, -11 in descending order.\nAnswer: 5, 2, -11, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50798 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/2 + 2)*31. Let m be 44\/2 - -5 - 6. Solve -f + m = 5*b, 5*b - 3*f - 6 = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 64481995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-460)\/15*3)\/((-28)\/(-14))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6171 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(153))\/sqrt(324).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 250165 - -9?\nAnswer: 250172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 2, v: 5, k: 9, e: 2}. Give prob of sequence vve.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -152260 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from mmmmmhhm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/360 - x**4\/4 - 5*x. Let q(p) be the third derivative of y(p). What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1957335.99981 - 1957360. Let v = 73 + -49. Let n = y + v. Round n to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 8:22 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39 + m**4 - 70 - 65 + 0*m**4 - 33*m**3 wrt m.\nAnswer: 4*m**3 - 99*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 174\/168209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11569, -1, 0.\nAnswer: -11569, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 + 5*z - 6. Let w be s(-5). Let m be (-1)\/(2 - (-15)\/w). Solve -d + 5 = m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12928.39 + 12077.8. Let u = -115 - 731. Let j = u - z. What is j rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9020 divided by -820\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/7 + 52364*s\/7 - 1370928 = 0.\nAnswer: -26364, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-5*6)**2 + 5 - ((sqrt(1377) - (-1*sqrt(1377) + sqrt(1377)))*5 + 1)) + 3.\nAnswer: -45*sqrt(17) + 1239307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 7*f + 20 = 0. Let m be (2 + -3 + f)*2\/10. What is the third smallest value in m, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58883)\/4545 + -85 + 98\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6754*u**2. Let s(p) = -3*p**2. Determine n(s(c)).\nAnswer: 60786*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.00334 to one dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 + -5. Is (-7)\/(h\/(-106) - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/(-10) + 456\/76. Let d = -6 + 3. Let i = d - -1. Which is the nearest to -0.1? (a) -3\/2 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62776 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197380272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 36?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1370900543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/474507 and -13\/86623889?\nAnswer: 779615001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140438999, -140438998, -140438997, -140438996, -140438995, -140438994?\nAnswer: -140438993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*z + 3*y + 19 = 272*z, -3*y - 7 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83439 by 1.\nAnswer: 83439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and 108.\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**26*c**(2\/45)\/c*c*((c\/c**(1\/12))\/c*c)\/(c**(-28)*c) assuming c is positive.\nAnswer: c**(9713\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzezgegzxgzo. Give prob of sequence exe.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 4*w - 70. Let o be w\/(-21) + 0 - -2. Let k = -1 - -1. Which is the closest to k? (a) o (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*p - 29, 5*y - 3*p + 15 - 148 = 0. Suppose 3*f = 5 - y. Put f, 2\/13, -2\/9 in decreasing order.\nAnswer: 2\/13, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872) + 2 + -2 - 1*sqrt(1872)*6) + (-4 + (4 + sqrt(1872))**2 - sqrt(1872)) + 0.\nAnswer: 24*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*a = -536 + 510, 32 = 2*l + 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i**2 + i + (i**2 + 2*i**2 - 4*i**2)*(0 - 3 + 5) - 2 + i**2 + 2 + 159*i - 159*i - 27*i**2.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 2}. What is prob of sequence hp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {c: 11, h: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 626\/12237 or -1?\nAnswer: 626\/12237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2.2321, -19\/9 in descending order.\nAnswer: 16, 2.2321, -19\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-44*(-28)\/(-336))\/(((-1)\/3)\/(-1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14898\/19 at least 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r - 743. Let x be t(62). What is the highest common factor of x and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 32*k - 58. Calculate l(4).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -768 (base 12) in base 2?\nAnswer: -10001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 196006 = -4*r, -4*r + 7*b = 2*b - 195985. What is r rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25*h**3 + h**2 + 4*h - 2152. Calculate u(0).\nAnswer: -2152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-12)\/(-26))\/(-1)*1155\/(-6930)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3629567926 from -10.5.\nAnswer: 3629567915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.1, 1\/7, -0.013?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 - 8. Let q be b(1). What is the biggest value in 1\/7, 0.3, -0.6, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 280, 274, 256, 220, 160, 70?\n\"Answer: -i**3 + i + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 2*h - 2. Let f be q(-3). Suppose -f*t + 40 = -5*t. Suppose t*c - 124 = 4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363878 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 5886\nAnswer: 5\/5886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59583.44 micrograms in kilograms?\nAnswer: 0.00005958344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxaa when four letters picked without replacement from aagxggxxxlxxannlxxx.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2385746497\/245355 - 31702\/22305. Let l = s - -9726. Calculate the common denominator of -6\/5 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = 5*h, -5*v + 23 = -v + 5*h. Solve 7*j = v*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -142?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109032000 by 389400.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 10:03 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 7539086685.\nAnswer: 7539086701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2251, 2255, 2259, 2263, 2267?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2356.351605 and -17177?\nAnswer: 14820.648395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from kbbbbbbb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4222.532 kilometers to centimeters.\nAnswer: 422253200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -86.68*8\nAnswer: -693.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (-4 + sqrt(637) + 1)**2*-3.\nAnswer: -1937 + 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2672, -4.4 in descending order.\nAnswer: 2672, 4, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -2. Suppose 4 = 5*l - 2*z, 3*l + 66 - 53 = -z. Which is the nearest to t? (a) -0.11 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.577 to one decimal place.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - g + 28, -4*g + 3*g = k + 16. Let r = k - -15. Solve 15 = 3*b, 5*b + 5 = -2*l + r*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djn when three letters picked without replacement from dddnjjndjdddj.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(198)\/sqrt(6))\/sqrt(3))**2*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:01 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q**4 - q + 7*q**4 - 2*q**3 + q - 2294 + 2326 to p*q**3 + y*q**4 + m*q + o*q**2 + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 214?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 258*s - 3. Let x(v) = 4*v + 1. Calculate k(a) - 3*x(a).\nAnswer: 246*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39624935 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4519456 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - ((-4 - -1) + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 1508. Let g(a) = -13*a**2 - 6034. Determine -9*b(h) + 2*g(h).\nAnswer: h**2 + 1504","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025788 rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/123214963 and -6\/17.\nAnswer: 123214963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-30) - (-312032)\/(-3360)) + 14.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**4)\/y**1*(y\/((y\/(y\/(y\/((y*y*y\/y**6)\/y))))\/y*y)*y)\/(y\/(y**(-4\/7)\/y)))\/(y**(-5\/4)\/(y**(2\/7)*y*y*y)*(y**1\/y)**(-29)) assuming y is positive.\nAnswer: y**(-141\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**6 - 75*z**4 + 36*z**2 - 1158 wrt z.\nAnswer: -480*z**3 - 1800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/13)\/(-5) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219 + -217. Let d = -69\/5 - -242\/15. Which is the nearest to -3? (a) u (b) d (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 20 = u. Let z(r) = 2*r - 7. Let y be z(u). Sort -4, y, -5 in increasing order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -38 (b) 4\/23 (c) 5 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 1)*(2 - 2 + 1)*(2 - 4 + 1)*(-c - 2*c + 5*c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-16 - -15 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2))**2*4 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 21183288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13475.6 - 0.3.\nAnswer: -13475.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603 divided by 1.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009480106 rounded to five decimal places?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 2*u + 1 = 0, -d - u = 0. Suppose 7*j - 8 = 3*j. Let o = j + d. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*i - 7*i. Let d = -16 - -10. Let o = d + 9. Solve 3 - 8 = -i*l - o*g, 2*l + 5 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from {e: 7, r: 4, h: 4}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let d be -3 - 2\/(-4)*8\/(-4). Let c(n) = -3*n - 10. Let x be c(d). Solve x*m + 4*f + 20 = g, 4*m - 4*f + 5 = -5*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 8*a**2 - 6*a + 2. What is t(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 1143\/(-15))*170\/(-4)?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/16 or -2?\nAnswer: -23\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -82. Let a be ((-120)\/l + (-4)\/10)*-2. Is (-17)\/(-68) + (-119)\/a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 3, r: 2, y: 4, v: 7, c: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3055 and -189.\nAnswer: 577395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1565*j**4 - 43958*j**2.\nAnswer: -37560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*v - 54*v = 253. What is the remainder when 1009 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1030 and 57501398?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2368\/5 - (-1228)\/3070. Calculate the highest common factor of h and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzhzn. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/20 and -83\/12522.\nAnswer: 125220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-18241)\/(-19) - -25*(-26)\/12350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 6243510.\nAnswer: 6243510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(-69)*(-27)\/126.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v + 15 = 4*r, -3*v + 5*r - 12 = 0. Let f(h) = 49*h**3 - h. Let w be f(v). Suppose -2*i + w = 2. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 12) to base 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2690*p - 2682*p = 48 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from effalaalar. What is prob of sequence eaf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4\/(-11) - (-418056)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59411706253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 6*p - 2*p. Suppose p = 2*g - 32 - 46. What is the remainder when 583 is divided by g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 bigger than 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + n = -26, -3*x = -3*n - 8 + 2. Suppose 8*r - 4 = 4*r. Let s be x - (3 - 2\/r). Solve -5*h - s = 4*p - 3*p, 7 = -h + p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - m - 1809 = -3*l, l = 2*m + 461. Let n(b) = b**3 - 28*b**2 - 4*b + 2. Let c be n(28). Let j = c + l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 274846 and 943.\nAnswer: 259179778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v - 11. Let t be l(-1). Solve -t*x + 5 = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 15. Calculate the lowest common multiple of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4*z**2 + 310525*x**3*z**3 - x*z**3 - 120535*x*z**2 wrt x.\nAnswer: -12*x**2*z**2 + 1863150*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079188861 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9442 - -3.5442. Let g = 0 - -3. Which is the third smallest value? (a) g (b) x (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*o = -8*n + 200, -4*n + 128 = -4*o. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/13 + 3118200*t\/13 - 1215396405000\/13 = 0.\nAnswer: 779550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 25*s + 22*s - 9 = 0, x + 18 = -12*s for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -24*m - 1 - 24*m + 53*m. Calculate c(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.84573123 to the nearest integer.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1700) + 0 - (-1 + sqrt(17) + 4)).\nAnswer: 2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16068186 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.0431858 to 3 dps.\nAnswer: -12.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -31*o**4\/24 - o**2. Let z(t) be the first derivative of t**2\/2 + 308. Determine r(z(v)).\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -9*n - 1\/2*n**2 + 0. Suppose 5*g = 5*q - 10, -4*g - 4*q + 5*q = -4. Let l(i) = -i**2 - 2*i + 2. What is g*f(a) + l(a)?\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 9*v**2 + 4*v - 13. Let d be c(10). Is d at least -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:03 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40\/24*(20 + -29)*18\/10\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*n - 0*a + 250, 0 = n + 5*a - 44. What is the remainder when 97 is divided by n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700\/(-945)*378\/(-1485)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-440)\/(-352))\/((-5)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57861 = -605*k + 82666 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 3.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 0, 5*y + 4*b - 5*b = 42. Let v = 61 + -57. Suppose -v*f = -f - 18. What is the lowest common multiple of y and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/2)\/t)**(-19)*(t**1\/t)**6)**(-2\/9))**49 assuming t is positive.\nAnswer: t**(-931\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrrrrrfrrrrffffwrr. Give prob of sequence ffrr.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(132)\/sqrt(6))\/sqrt(2) - (-6*(sqrt(33) - (sqrt(132) - sqrt(33) - sqrt(33))))\/(-6*sqrt(3)*-2).\nAnswer: -35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**2 + 15*l - 2*l**3 - 7 + 22 + 3*l**3 + l**2. Let y be i(-6). What is the greatest common factor of y and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 - 16*p**3 + 23*p**3 - 13*p**3.\nAnswer: -6*p**3 + 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67132, -67135, -67140, -67147?\n\"Answer: -d**2 - 67131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*g + 5*g + 7*g + 3*g**2 - 5*g**2 in the form b + i*g**2 + s*g and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 15) in base 16?\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1013, -114 in decreasing order.\nAnswer: 2, -1, -114, -1013","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -262.1 - -262.8. Which is the closest to 2? (a) 2\/7 (b) g (c) -0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, -17, -31 in increasing order.\nAnswer: -31, -17, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1755)\/(-1287) + (-2511)\/341\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j - 3 = 50*j - 4*d, 0 = -5*d + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 10*p**2 - 5*p + 13. Let g be n(9). Let f be 50\/(-2) + (-3 - -2). Let w = g + f. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153)\/45*(22 + -17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 73*y**2 - 2*y. Let p(o) = -74*o**2 + o. Let v(b) = -2*k(b) - 3*p(b). Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + ((sqrt(187)*-4 - sqrt(187))*4 - sqrt(187)))\/(sqrt(539)*3 + sqrt(539))*1.\nAnswer: -5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 - 1*15*1\/21. Do q and -44\/261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84032 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385174 (base 9) in base 3?\nAnswer: 102212012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 298650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1415526858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-12))\/(2\/6). Let i = b - 5. What is the smallest common multiple of ((-36)\/(-45))\/((-2)\/(-20)) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120232 - 1?\nAnswer: -120233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 49*d - 310. Calculate l(8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 - 11*j**3\/6 + 13*j**2\/2 - 5*j + 2. Let w be f(10). Solve -2 = -w*u - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from hbtcccbbhhcthhph?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t - 93*t = -5*v + 5, 5*t = -5*v + 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -31. Are -13 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjf when three letters picked without replacement from fcfgjgeb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -24\/456037 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4663*l - 125000 = 5564 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 275255?\nAnswer: 275243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q - 4. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 8125050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t - 1. Let o(g) = -17*g - 2. Let d be o(-2). Let v(y) = 66 - 34 + 2*y - d. Give s(v(b)).\nAnswer: 24*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*w - 14, -2*x - 8*w = -4*w - 16. Let l(h) = -5*h + 2. Let p(q) = -5*q + 1. Let r(t) = 3*l(t) - 4*p(t). What is r(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1928*o + 150959 - 39072 = -13433 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5*q + 3. Let o be f(-3). Suppose 3*t - 1 = c - 5, -5*c = 2*t - 20. Suppose -o = a - c. Which is smaller: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.113 + -0.087. Let q = 67\/2 - 33. What is the nearest to q in -1\/3, 2\/7, n, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/52*2*322\/161?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165, -149, -123, -87?\n\"Answer: 5*m**2 + m - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 10272*z**2 + 549*z**3 + 23046*z**2 - 49686 + 23751*z - 7935*z**2 = 0.\nAnswer: -91, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351*38.8.\nAnswer: -13618.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7544831708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f - 3. Let l(x) = -5*x - 1. Let t be 15\/(-2)*(-12)\/10. Let q(s) = t*l(s) - 4*a(s). What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 846 and 1118.\nAnswer: 945828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*n**3*q**3 - 3*n**3*q**2 - n**2*q**3 + n**2*q**2 - 62*n**2 wrt n?\nAnswer: -438*q**3 - 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*n - 20169 - 10867 = 87*n - 516 for n.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 3*q**2 - 5*q + 5. Suppose 2*r - y - 3*y = -10, 0 = 4*r + 3*y - 35. Let u = 167 - 159. What is the remainder when c(r) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 86 = 4*i, -g = -2 + 4. Let y(c) = 9*c - 5*c - 5 - i*c + 12. What are the prime factors of y(-11)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 2*g**2 + g + 2. Let f be n(3). Let d be (-2 - f)*-2 + 1474. Round d to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*u**3 + 18520292*u**2 - 168652662*u - 1 wrt u.\nAnswer: -144*u + 37040584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 5146.\nAnswer: 14\/2573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1099 and -31\/7063.\nAnswer: 1108891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.0551?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p - 214 = 15*p + 20*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18\/x)\/(x**(2\/37)*x*x)*x**(-3)*x**(-8)\/x*x assuming x is positive.\nAnswer: x**(146\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125560020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 - 46*c + 21*c + 14*c + 7*c - 118 + 9*c to the form a*c + k*c**2 + f and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 15. Let j = 118 - 113. What is the remainder when j is divided by i(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/(-25)) - ((-2301622)\/3515 + 630)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16089816.\nAnswer: 2, 3, 670409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, b: 8, l: 4}. Give prob of sequence ba.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 28*m**2 - 8*m - 41. Let a be p(28). Let y = a - -268. Solve -5*v + 2 + y = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51794557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481838 is divided by 380.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1263, 6519, 15247, 27453, 43143, 62323, 84999?\nAnswer: 111177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-420)\/(-5 + 1)*-1. Let n be (-12)\/10*f\/63. Solve -g = 1, 4*m + n*g + g + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109665 is divided by 1109665.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19, 0, -0.2, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92.764 - -3.086. Let p = b + 0.15. Let n = p - 96.000164. Round n to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**3 + 7*a**2 + 4*a - 4. Let i(u) = -u**3 - u**2 - u + 1. Suppose 5*p = o - 28, 2 + 0 = 2*p + 4*o. Let l = p - -6. Give l*w(s) + 4*i(s).\nAnswer: 2*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d*k - 2*d*x**2 - k*x**3 + 7*x**3 - x with respect to k.\nAnswer: -18*d - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-7)\/(-112))\/((-36)\/8)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**2 + 66*o + 63. Let b(i) = 4*i**2 + i + 3. Let x(l) = -2*b(l) - f(l). Factor x(p).\nAnswer: (p - 69)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80724, 80754, 80808, 80898, 81036, 81234, 81504?\nAnswer: 81858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 5*x. Let r(o) = 10*o - 6*o - o**2 - 1 + 1. Let j(q) = -5*r(q) + 4*z(q). Let t(v) = 1 - 1 - 4568*v + 4574*v. Determine j(t(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 4331?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 699 or 698?\nAnswer: 699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*g**2 - 1\/7*g - 6\/7.\nAnswer: (g - 3)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24))\/(-2 + 3\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*(32200\/(-900) + 24)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52 (b) -30.3 (c) 3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9316 - -14697. Round a to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 37*q**2 - 20*q - 26. Let v be p(-18). Suppose 5*g - 5*u + 20 = 0, -v = 5*g - g + 2*u. List the prime factors of 1\/g*(-1 + -2) - -78.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 27 + -69 + 45 + -44?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 7. Let w = -247 + t. Let h = -242.6 - w. What is h rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**(-30\/13)*x**(7\/4)*x**(-2\/7) assuming x is positive.\nAnswer: x**(-307\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146377 and 106456?\nAnswer: 1171016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1005)\/134*4\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1589 and 3405?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f - 276 = -40*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p\/p**12*p*p**(-41)*p*p*p**(-12\/7) assuming p is positive.\nAnswer: p**(-362\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n. Let t be c(-1). Solve t = 5*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a6 (base 12) in base 11?\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let a(f) = -234*f**2. What is i(a(j))?\nAnswer: -468*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*t**3 - 2613 + 2625 + 392*t**3.\nAnswer: -13*t**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3\/3 - 88*l**2\/3 - 20*l + 168 = 0 for l.\nAnswer: -21, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -89, -807, -1, 43 in ascending order.\nAnswer: -807, -89, -4, -1, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m**2 + 6*m + 65*m**2 - 175587610 + 175587610 - 264*m**2.\nAnswer: -244*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177.279 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 24 - ((2 - 2) + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/900 - t**5\/100 + 3*t**3\/2 + 3*t**2. Let w(n) be the first derivative of a(n). What is j in w(j) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -17*r + 19*r. What is the least common multiple of -22*(35\/r + 4\/6) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 7, j: 1, o: 1, y: 1}. Give prob of sequence fff.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1990, -4, 11, 6, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*d - 3, 5*d - 18*g = -20*g + 2. Let p(n) be the first derivative of d*n - 3*n**3 - 5 - 3\/2*n**4 + 0*n**2 + 3\/5*n**5. Let p(r) = 0. Calculate r.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.65 - -0.05. Let d = -0.2 + i. Let u = -339 - -343. Which is the third biggest value? (a) u (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848170490 a multiple of 17932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + ((-5)\/3)\/(-1) and (14\/5)\/((-48)\/(-140)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 161.9 and 78.\nAnswer: 12628.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a factor of 13570739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -28*g - 244. Let j be v(-4). Let s = 8 - 14. Let o be ((-4)\/s)\/((-8)\/j). Solve -2*x = 4*a + o + 3, 3*x = 3*a + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 8*u - 6. Let t be d(6). Suppose -2*h - t = -5*h. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 4*f**2 - 9*f + 22. Let v be p(-6). Suppose -5143 = -h + 6*b - v*b, 0 = 2*b - 10. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 - 2*x**2)*(x**2 + 3*x**2 - 2*x**2 + (x + 2*x - 2*x)*(-x - 2*x + 5*x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-18) + (8333960\/(-45))\/4. What is l rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1108\/15 + 286\/5. Let z = -17 - i. What is the closest to z in 4\/3, 4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-3\/49)*u*(u**(-1\/5)\/u*u*u)\/u*u*u**(-1\/2) assuming u is positive.\nAnswer: u**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 212*b**2 + 10*b**3 - 212*b**2 + (0*b + b + b)*(-6 + 6 + 7*b**2).\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 29*j + 286. Let i be s(16). What is the highest common divisor of 1924 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -34*b + 1843. Let c be d(54). Solve -c*u = 106 - 78 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - k = 2 - 9, 4*k = 2*r. Suppose 2 = -5*x + 2*l, -4*x + r*l - l - 1 = 0. Suppose -4*u = -6*u - 5*m - 11, -2*u - 2*m - 2 = x. Is u < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + (-35)\/(-15). Suppose -1393 = -5*q + t*o, 5*q + o - 1279 = 102. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 i when four letters picked without replacement from {n: 5, d: 1, h: 2, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 36 + 41 = -5*p, 3*z + 2*p = 29. Solve z*x = 15*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:26 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -406 + 1197. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a1 + 3?\nAnswer: 9a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130 in 20, -0.3, -1\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 5*a + 2. Let w be k(7). What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/33840 and -53\/96?\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -75 + 4\/7*t**3 + 11\/7*t**2 + 1\/14*t**4 + 12\/7*t. Factor u(i).\nAnswer: 2*(i + 1)*(i + 2)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:58 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 0.3 (c) 2\/9 (d) 0.063\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*d + 147211 = -912134. List the prime factors of d.\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 85.61385 micrometers?\nAnswer: 85613.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160606 is divided by 54?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 199101874 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(8) + sqrt(8) + sqrt(24)\/(1*sqrt(3))))\/(sqrt(16)\/(sqrt(4)*1)) - ((sqrt(288)*5)**2 + sqrt(2) + sqrt(2) + 1*2*sqrt(2)).\nAnswer: -7200 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13666 is divided by 1896?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.1049632 rounded to the nearest integer?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*r. Suppose 0 = 2*g - 4*b - 30, 3*g + r*b - 25 = -0*b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + 3*q - 27. Let a(f) = 3*f**2 - 4*f + 28. Let i(j) = -6*a(j) - 5*z(j). Let k be i(9). What is the highest common divisor of 42 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3449 less than -50.349?\nAnswer: 3398.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*z + 51, 2*i - 28 = -0*i - 3*z. Calculate the remainder when 150\/6 + (0 - 5) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 = 50. Suppose 7*f - q = 6*f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249374611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 407903067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 34.9. Let o = -2.1003 + f. What is o rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*p + 2150*c**2 - 141*p**2 wrt p.\nAnswer: 4*c**2 - 282*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 10, -5*h + 247 = -4*n - 203. Calculate the greatest common factor of h and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66685.14 millimeters to kilometers.\nAnswer: 0.06668514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228.7 - -16.3. Let w = a + -131. Let d = w - 113.9999937. What is d rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/12)\/((-1)\/238). Let s = h + -255. Let n be 1\/(-5) - s\/(-20). Which is smaller: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2276133 - -2?\nAnswer: -2276131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n - 24. Let d(f) be the second derivative of f**3 + 5*f + 1. Calculate d(n).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201828 and 110088?\nAnswer: 1210968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 15*i**2 - 12*i - 3. What are the prime factors of a(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22220221 (base 3) to base 8\nAnswer: -14551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9168 divided by -3056.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvivvvvvvvivvvvvv?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7778 - -2047. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 10 = 2*f, 3*f + 180 = -5*m + 203 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 1. Let b = 55 - 50. Let q be -5 + (-1 + 5 - b). Sort 2, u, q in ascending order.\nAnswer: q, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 - 46. Let b be (3 - r\/16) + (-9)\/12. Put -1, 2, -5, b in ascending order.\nAnswer: -5, b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = -3*d - 428, -2*p + 152 = -d. Let v be d\/(-7) + 8\/(-14). What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 57.\nAnswer: -0.4, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 44 = 5*t. Solve 0*b - 5*b + 23 = -a, -t = 2*a - 4*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 139. Is -0.08 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110100 (base 2) to base 4\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158354988.\nAnswer: 2, 7, 19, 97, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -2\/3, 2\/7, -0.5, -0.6, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*16*(-2)\/72*3\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8298228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**2 - 137*d + 571. Calculate k(4).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 71. Let b = j - 1.85. What is b rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 12:24 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.5 + -14.1. Which is the closest to k? (a) -4 (b) 4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b + 3*i + 136, 4*i = -4*b + 136. Suppose 2*d = -5*h + 10 - 2, h - b = 5*d. Let w(a) = -3*a - 4. Calculate w(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1\/j)**26*j**(4\/5)\/(j\/(j**(5\/6)*j)*j*j))**(-5\/4) assuming j is positive.\nAnswer: j**(-769\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25) - 0) + 48\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + -2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4793 is divided by 4753?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (3 + -8 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -954, -2182, -3918, -6168?\nAnswer: -8938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005230464 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(78) + ((sqrt(78)*-1 - sqrt(78)) + sqrt(78))*-4)\/(6*(sqrt(6) - -4*sqrt(6) - sqrt(6))))**2.\nAnswer: 5*sqrt(13)\/3 + 9541\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*u = -146 - 19, 0 = n - u - 40. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 207*k**2 + 894*k + 222. What is f(-99)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51640939, -103281879, -154922819, -206563759?\nAnswer: -258204699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59f50 (base 16) in base 12?\nAnswer: -159294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -265?\nAnswer: -11\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5 + 1 + 0*y**2 + 4*y**2 - y**3. Calculate the remainder when 9 is divided by t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n*r**4 - 4*n*r**2 - 171*n wrt r?\nAnswer: -20*n*r**3 - 8*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from euwlqwxqwqx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:14 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3877 - 3875. Solve -o - 3*u = 2, 3*u + 13 - 12 = -a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43342222 (base 5) in base 16?\nAnswer: 5ab6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51215 and -4.\nAnswer: -204860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/(-14) - 18\/(-63). Suppose 3*m + n - 52 = 0, -m - 5*n = r*m - 73. Suppose 3*t - 4*s = 18, -5*s = 3*t - 8 + m. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16303097?\nAnswer: 163, 100019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = h - 20, -4*h + 0*h + 4*n + 56 = 0. Let l = -998 - -1004. Suppose 1435 = -l*o + 1897. What is the remainder when o is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -479 + 219. What is the lowest common multiple of 12 and (w\/25)\/(-4) - (-6)\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/5*1\/(-2). What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*k = 3*k + 5, -5*h = -k - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 12594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 59 = -6. Suppose y - 3*b = -38, 0*y = 3*y - b + 122. Let q = i - y. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43\/30 - -8\/5. Let g(k) = -k**3 - 4*k**2 + 13*k + 5. Let x(u) = -2*u**3 - 10*u**2 + u - 1. Let w be x(-5). Let y be g(w). Is p >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5506 = -2*y, 14*u + 9166 = 19*u - 6*y. What is the remainder when 5515 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (-3 - -4)*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*q - 6 = -k, 0 = 3*k + 4*q - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.4429968 * 0.3\nAnswer: -0.73289904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -2.4992?\nAnswer: 2.1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 505\/3. Let h be 0 - -31*(-3)\/63. Let y = 4\/3 + h. Sort u, y, 1\/2 in descending order.\nAnswer: 1\/2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 - 2*s**4 + 2*s**4)*(5 - 8 - 7).\nAnswer: 20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175624995 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + 0.25. Let m = 25 - 22. Which is the nearest to m? (a) 2\/7 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/81*(-5562)\/63036.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1010\/7 - ((-27)\/(-21) + -1). Let q = z + -57. Let x(r) = r**2 - 7 + q*r**3 - 41*r**3 - r - 47*r**3. Determine x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/2 - -15. Which is the second biggest value? (a) 2\/11 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98599 or 15?\nAnswer: 98599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 74, 4, -1.28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -2\/3 (c) -3\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + 17\/8. Let j = 59\/3 - 121\/6. Is j at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f**3 + 9*f**2 - 13*f + 9. Let s = -64 - -73. Let w(j) = -7*j**3 - 4*j**2 + 6*j - 4. Calculate s*w(h) + 4*t(h).\nAnswer: -3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 395 + 395 - 6*j**3 + (-j**2 + j - j)*(j - 1 + 1) + 0*j - j**3 + 0*j.\nAnswer: -8*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138502637 to the nearest integer?\nAnswer: 11769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -491.8121 rounded to zero decimal places?\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 0.7, -19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192.8 + -193. Which is smaller: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12540032 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -2 (c) 0.18 (d) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-29571)\/9)\/((-29)\/(-3480)). What is s rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/112 and 1443\/(-65)*(-10)\/(-196)?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1411 divide 1348351600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2 - 618*p - 621 = 0.\nAnswer: -1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13765, 55498, 125185, 222826?\nAnswer: 348421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*y - 342 + 356, 0 = 5*f - 4*y + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 + 2*r**2 + 2*r + 1. Let x be c(-1). Let y be 18\/5 - x\/(-15). What is the highest common factor of y and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1417 and 143989?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-8))\/((-25)\/675*-66).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2445 and 5?\nAnswer: 12225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y + 34. What is i(-8)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331244 divided by -1.\nAnswer: -331244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.82 - 0.12. What is the biggest value in 0, 0.3, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3643 + 3674. Calculate the greatest common divisor of q and 1643.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 5, b: 1, o: 3}. What is prob of sequence boco?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 681 = 279. Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = -86*c - 345 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335804 and 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1518*g + 9*g**4 + 4208*g**2 - 348*g**3 - 686*g + 361 - 730*g**2.\nAnswer: (g - 19)**2*(3*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 287*y - 860*y + 285*y + 292*y + 15. Give p(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**3*v)\/v)\/v*v)\/v)\/v**(-1\/5)*(v**(-2\/7))**(1\/55))**(-3) assuming v is positive.\nAnswer: v**(-507\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {a: 2, t: 1, b: 1, g: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 489579737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1464.9 to the nearest ten.\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8831, -1\/4, -3, -4, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664.310826 rounded to the nearest 10?\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/8, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = 324*o - 310*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 - 14*h - 18. Let t be j(-3). Let g(a) = -2 + 61*a - 62*a - t - 9. What is g(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4165 - 6565. Let i be 6\/21 + s\/21. Let f = i + 167. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:28 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)\/(x\/x**(-6))*(x*x**0)**40 assuming x is positive.\nAnswer: x**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -66732070 (base 8) in base 13?\nAnswer: -2ca1946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 886 * -0.1\nAnswer: -88.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1992 or 1993?\nAnswer: 1993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9474873.\nAnswer: 3, 23, 353, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmsgnmj. What is prob of sequence nn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -9, -3, 3, -5, -549 in decreasing order.\nAnswer: 3, -0.3, -3, -5, -9, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -1) + 1 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15))\/(48\/(-480)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -852584653 to the nearest ten thousand.\nAnswer: -852580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13 + 31*k + 11 + 3. Is x(1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + 5*(-1 + 5 + -1*(-2 + sqrt(11))))**2 + 5.\nAnswer: -330*sqrt(11) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3)*z*z\/(z\/((z\/((z\/(z*z**(1\/4)))\/z)*z*z)\/z))*z)**(7\/6) assuming z is positive.\nAnswer: z**(91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 7*x**3 + 2*x**3)*(2*x - 3*x + 2*x) + 14*x**3 + 5*x**4 - 2*x - 14*x**3 + 2.\nAnswer: 3*x**4 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88550.7 rounded to the nearest one thousand?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832184.\nAnswer: 2, 354023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + -128 + (-10 - 12).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -56. Let p(j) = -17*j + 9*j - l*j. Let h(w) = -3*w**2. What is p(h(y))?\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 21245504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - -6093?\nAnswer: 606a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*-3*4*sqrt(133))\/((sqrt(84)*2)\/sqrt(12) + sqrt(7) + (sqrt(343) - (sqrt(343)*-2 + sqrt(343))))*-4.\nAnswer: 48*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17856521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f*f**(4\/7)*f*f*f*f)\/f)\/f)*f*f*f**16*f)**(-33))**(14\/9) assuming f is positive.\nAnswer: f**(-2530\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 83 = 4*p + 4*l, 0 = -p - 2*l + 22. Suppose p = 4*n + n. Let j = n - -5. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + 7) - (-1 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:40 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9 + 2*h**2 + 202*h**2 - 202*h**2 + 34 - 4*h**2.\nAnswer: -2*h**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2067, -8250, -18555, -32982, -51531?\n\"Answer: -2061*j**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 5*o = 4, o + 7 = 4*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 7 - 90 + 12 + 51 + 0 + 11.\nAnswer: 6*v**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16518 and 9078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from nvzbvvs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -3 (c) -728 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-84)\/777*6\/(-12)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:36 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**4))\/((a\/(a\/(a*a**(4\/5))))\/a*a)*(a**(1\/3)\/a)\/(a*a**20\/a*a))**(2\/41) assuming a is positive.\nAnswer: a**(-824\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 6 = -p + 4*p, -8 = -5*i + 4*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40\/297 + -235\/297. Calculate the common denominator of x and -25\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -4*v + 100 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/35 - 3)*-21. Solve -v*q + 260 - 26 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -0*s - s, 3*y + 2*s + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132374?\nAnswer: 2, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*y = -3247853 - 9618497 + 2561800. What is y rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - x + x - 9*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -1 (c) 1 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3938649 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116867\/162 - 6499\/9. Calculate the common denominator of c and -1\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Solve -1028*o = -b - 1022*o, -4*b - 4*o = 9*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2936 and -25\/14.\nAnswer: 20552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 4*u**2 + u**2)*(4*u - u - 2*u) - u**3 + u**3 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + (-1 - 0) - (-3 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 + 2*v - 2. Suppose 3*n = -2*o + 25, -4*n + 5*n + 10 = 3*o. Determine f(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241939 is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61360 and 240?\nAnswer: 184080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 - 3*z**2 + 3*z - 3. Let m = -223 - -221. Let t be (0 - m)\/((-16)\/24). Let i(a) = a**3 + a**2 - a + 1. Determine t*i(l) - v(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 3*j - 14. Let c(l) = l**2 - l - 2. Let a(u) = -3*c(u) - m(u). Let t(x) be the first derivative of a(x). Let y(i) = 0 + 0 - i. Give y(t(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:10 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 at least as big as 1605\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b + 21. Let g be s(5). Let m be ((-1)\/81)\/(2\/4). Is g at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w + 65278 = -275*w + 1003*w - 28628 for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5)\/1*1. Let h be (-8)\/3 + (-1)\/3. What is the smallest value in 4, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -3\/280*h**7 - 1\/240*h**5 + 0 - 1\/336*h**8 + 0*h**4 - 2*h**2 + 0*h + 0*h**3 - 1\/80*h**6. Factor n(c).\nAnswer: -c**2*(c + 1)**2*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1893405 = 100*g + 59067 + 74838. Is 45 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16980\/120)\/(1\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-378)\/21*(-4)\/24. Let g(j) = -j**3 + 5*j**2 - 9*j + 4. What is g(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151658 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**4 - 1235*c**3 - 79380*c**2 + 50. Let v(q) = q**3 + 2. Let n(u) = r(u) - 25*v(u). Solve n(o) = 0.\nAnswer: -126, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25204.\nAnswer: 2, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -29*3\/17 - -5. What is the fourth biggest value in l, -0.2, -1\/2, 1\/7, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 3c4?\nAnswer: -3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 greater than or equal to 943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/2)\/((-18)\/36))\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 - 4*z - 1. Let k be q(2). Let w(c) = k + 3*c + 8*c - 12*c. Let o be w(1). Solve o*r = -2*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134.5412 - 0.1412. Let k = 135 - b. What is the smallest value in k, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411, 733, 1275, 2037, 3019?\nAnswer: 4221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005631 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -25. What is the remainder when y is divided by 9 - 4\/(16\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*w - 11, -w = 4*w - 4*d + 35. Let y be ((-6)\/(-9) + 1)*w. Let h = 16 + y. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.09 (c) 17.6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4195018, 8389998, 12584978, 16779958, 20974938, 25169918?\n\"Answer: 4194980*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3091 + 3082.482. Let y = 7.84 + j. Round y to 2 decimal places.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 140380, 140342, 140234, 140056?\n\"Answer: -35*p**2 + 67*p + 140348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 602 + -392. Let i = z + -198. What is the remainder when 67 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1900) + -3 + 3)*5.\nAnswer: -300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -7*s**4\/6 + s. Let c(r) = -2*r**2. What is c(x(g))?\nAnswer: -392*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 0.5 (b) 2 (c) 5.6 (d) -1 (e) -751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 - 6*b - 2. Let x(z) = 3*z**3 - 9*z**2 - 11*z - 4. Let n(r) = 5*u(r) - 2*x(r). What is the lowest common multiple of 20 and n(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391 (base 10) to base 4\nAnswer: 12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18214 (base 10) to base 2\nAnswer: 100011100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 770701928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 5:01 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -94)*2\/2. Suppose -4*r - g + 27 = -b, -g + 30 = r. Let w = r - 18. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 52.48. Let m = s + -0.52. Is 0.06 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/1 + -1 + 1 + -2. Let h = 50 + z. Calculate the greatest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.75 - -1.75. Which is the closest to 0? (a) d (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142398 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355350135 + 44?\nAnswer: -355350051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1408\/15 - -466\/5. Put 3\/4, -5, p, 3, -4 in descending order.\nAnswer: 3, 3\/4, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 1 - 11*a - 11 + 2*a**2. What is the remainder when (-42)\/(-8)*(4 - 0) is divided by r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t + 44. Let k be w(-7). Let i = 47 + -19. Let f be (-3)\/k - 39\/i. Put -1\/2, f, 4 in decreasing order.\nAnswer: 4, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let b be c(-1). Let o(y) = -4 - 17 + 2*y + 34. Let h be o(-9). What is the smallest value in b, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let u be l(-11). Let n = -18 - -65. What is the remainder when n is divided by (12\/150*u)\/(2\/40)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11054 times -0.1\nAnswer: -1105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657279814.\nAnswer: 2, 107, 1373, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -6 + 22. Suppose -3*a = -3*m + v*a + 43, -4*a + 79 = 3*m. Solve -4*l + 3 - 19 = -5*u, 5*l = -4*u + m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337.99999698 - -338. What is u rounded to seven dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261968910887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.08 + -3. Let y = 25.08 - 22. Let h = p - y. What is the closest to 2\/3 in h, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30350457 to the nearest integer?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -18, -1\/9, 2\/3, -17\/2, 2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3043*g + 12260. Calculate i(4).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f = -72 - 63 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.615 + -5.615. What is the smallest value in s, 259, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.5. Put 0.5, 5, q, -2\/3 in increasing order.\nAnswer: -2\/3, q, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k. Let t be c(1). Suppose m + 10 = t*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/(-448) - (-3)\/20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -22*a - 2. Let t be k(-3). Let x = t - 23. Calculate the remainder when x is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 848650 and 7637850.\nAnswer: 7637850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.4 (c) 35\/11 (d) -6\/7 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13 = -3. Suppose 2*i - 10 = p*i. Does 17 divide ((-2)\/i)\/(6\/510)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 41 = 3. Let d(x) be the second derivative of -x**4\/12 + 10*x**3\/3 - 3*x**2\/2 + 391*x. Is 3 a factor of d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(112))**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17521 or -17522?\nAnswer: -17521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 38410, -11.\nAnswer: -24, -11, -4, 38410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1373 - 1349. Let l(v) = v**3 - 3*v**2 - v - 4. Let j be l(4). What is the greatest common factor of q and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5495 and 15072.\nAnswer: 527520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 2, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*z + 41 + 13, 4*z = 4*c - 108. Do 27 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**3 - 2540*t**2 - 17976*t = 0.\nAnswer: -7, 0, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -24, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2301 (c) -5 (d) -2\/85 (e) 1.28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipppppipspsp. What is prob of sequence spp?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 961080?\nAnswer: 1\/320360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6055\/7266 - ((-334)\/(-156) - -1)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123201120003 (base 4) to base 9.\nAnswer: 14515506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.618 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -63, -81, -93, -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 30*d**2 - 80*d - 2. Calculate b(27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 4*g = -62 + 76, -3*v - g + 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*w**2 - 648*w**3 - 782*w**2 + 656*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8120 or 0.1?\nAnswer: -8120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84555239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 3933*a - 3. Let l(s) = -s**2. What is y(l(x))?\nAnswer: 2*x**4 - 3933*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064\/3724*(-6)\/(-14)*(-21)\/(-6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1242 - -1224) + 0 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26722*u**3 - 41 + 41 - 7095*u**3.\nAnswer: 19627*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 6.9. Put -4, w, -60 in decreasing order.\nAnswer: w, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 93.5. Which is the closest to 0.1? (a) g (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60061.046 + -60145. Round z to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x**5\/5 - x**4\/2 - x**3\/6 - 3*x. Let z(i) = 15*i**3 + 11*i**2 + 2*i. Give -11*f(h) - 6*z(h).\nAnswer: -2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -336 != -1347\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(245)*-4)**2*-1 + ((sqrt(35) + (sqrt(245)*-1)\/sqrt(7) + sqrt(35))\/(sqrt(252)*2))**2.\nAnswer: -14111995\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 28 = 23 + 5. Calculate the greatest common factor of 86 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*i - 1. Solve 10 = i*n + 4*q, -7*n - 3*q + 10 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12105050440 + -2?\nAnswer: 12105050434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5503679?\nAnswer: 53, 103843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.07 (b) -4 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2122, 1, -5 in descending order.\nAnswer: 2122, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31045000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - l)*(-3 - l + 3)*(-22 + 22 + 14*l**2).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-4))\/(3\/(-6)). Let t be (-4)\/(-6) + 12\/9. Suppose -5*o - 5 + 18 = n, -w*o = t*n - 26. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 3 - -1 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*m**3 - 17*m**4 - 255*m**3 + 509*m**3 + 4*m**2 + 1 - 2 to the form r*m**3 + y*m + i*m**4 + v + h*m**2 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-5))*(k\/(k**(5\/7)*k))\/k assuming k is positive.\nAnswer: k**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 80 = -4*p + m, 2*p - 56 = -3*m. Let h = -19 + p. Suppose -f + 17 = -4*x, -6*x + h*x + 1 = 2*f. Solve -4*g = g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q - 25. Let f(i) = 5 - 4*i - 4 - 3 + 1 + 5*i. Calculate -4*f(g) + s(g).\nAnswer: 2*g - 21","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 7*g**2 - 6*g - 5. Suppose 4 = -2*a + 5*y, -5*a = -0*y + 3*y + 41. Does 8 divide w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395 and 3635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - w. Suppose 17 - 25 = -w*t. What is the third derivative of 4*h**5 - t*h**5 + 4*h**2 + 14*h**5 wrt h?\nAnswer: 840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70599 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 2*c**2 + 3 + 20*c - 5)*(-4*c**2 - c**2 + 6*c**2)*(-1 - 5 + 4).\nAnswer: -4*c**4 - 2*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 661, 1285, 1857, 2371, 2821, 3201, 3505, 3727?\n\"Answer: -i**3 - 20*i**2 + 691*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*g = -11, -6 = s - 2*s + 3*g. Let m(q) = -q. Let l(r) = 2*r. Let x(h) = s*l(h) + 5*m(h). Let y(k) = -k - k - 4*k + 3*k. What is y(x(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + d = -7, -6*d = -3*d - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-4))\/((-70)\/(-42)) and -119\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 a = 139 + -99. Let v = 46 - a. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5719 and -28884?\nAnswer: 165187596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1426588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 140, -6, -220, -508, -876, -1330?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374511 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.12 - 6.561. Let j = -0.079 + y. Let g = -2.52 - j. What is the fourth biggest value in -2\/3, g, 3\/5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -201, -5 in descending order.\nAnswer: 0, -3, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 + 19105*i**4 - 422075*i**3 + 2515775*i**2 - 5340930*i + 3228120 = 0.\nAnswer: -3843, 1, 3, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 18*c**2 - c - 23. Let v be z(-18). Sort 5, 89, v, -3, 3 in increasing order.\nAnswer: v, -3, 3, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 128. Let i(x) = 5*x - 15. Let k(b) = -10*b + 33. Let j(h) = z*k(h) - 9*i(h). Let y(o) = -2*o**2. Determine y(j(c)).\nAnswer: -50*c**2 + 60*c - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**7\/280 + h**6\/180 + h**5\/40 - h**4\/12 + h**3 + 5. Let f(b) be the third derivative of i(b). Factor f(c).\nAnswer: -(c - 1)*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/521?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*m + 205, 100926*m = -2*g + 100929*m - 139 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from iininiiggiihai.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i + 2*n - 0, 6 = -2*i + 3*n. Suppose -3*l + 7 + 2 = i. What is the remainder when 9 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -1, -14, -29, -46?\n\"Answer: -d**2 - 8*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88210 = 5*h - 6*m + 5*m, 4*m = -4*h + 70568. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -3\/4, 7, 33, 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/12 + -39\/4. Let u = 5.1 + -0.1. Let i = u - 5.1. What is the third biggest value in -0.5, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-240)\/(-3))*-5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357 + -6. Calculate the common denominator of 6\/(-4)*(-58)\/6 and 3 + (-2)\/((-48)\/m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-8)*-2*1. Suppose 23 = 3*d - c. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11306905 by -11306905.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 895933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixix when four letters picked without replacement from {i: 4, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + -8 - (2 + -7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/120 - x**5\/10 - 7*x**4\/24 - 5*x**3\/6 - x**2. Suppose -5*a + 2*k + 45 = 0, -141*k = -142*k - 5. Calculate u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**4*s - b**4 - 3*b**3*s - 323*b*s - b wrt b?\nAnswer: -132*b**2*s - 12*b**2 - 18*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. What is j(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -5, -23354 in increasing order.\nAnswer: -23354, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*10*1\/(-2). Let l be g\/(-1) + 2 + 15. Suppose -2*u - l = -o, -u = -o - 2*o + 11. What is the highest common divisor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-68)\/10)\/(43\/(-1720)). Calculate the highest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39066 divided by -34.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - -2 - (-1 + -5 - (23 - 32))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2 + sqrt(704) + sqrt(704) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 148. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303458 less than or equal to 303456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80.5 - 90. Let n = -9.8 - j. Which is the third biggest value? (a) n (b) 0.5 (c) -0.6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884983\/1428 bigger than 621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 127*v + 421*v + 4624 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6148420.9374 and 0.26.\nAnswer: 6148421.1974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7011*l**3 + 7 - 7032*l**3 - 4.\nAnswer: -21*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48284653, 96569307, 144853961?\n\"Answer: 48284654*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2034643 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 5:09 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -49288?\nAnswer: -49291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*v**3 - 66 + 66.\nAnswer: 271*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-0.42.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4\/7 + 34420*n**3\/7 + 1166664*n**2\/7 + 8636976*n\/7 - 22216032\/7 = 0.\nAnswer: -8571, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -921*l**3*o**3*z - l**3*o**2*z - 183672*l**3*o**2 - 51*l**3*o*z + l**2 - 2446*l*o**3*z + o**2 wrt o.\nAnswer: -5526*l**3*z - 14676*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1\/(-3)*(-3)\/3). Suppose -5*s + 89 = 2*c, -c + 5*c = -b*s + 59. Let p = s - -79. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:36 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7021226.\nAnswer: 2, 3510613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 - (-14)\/(280\/166428) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -213, -197, -141, -27, 163?\n\"Answer: 3*d**3 + 2*d**2 - 11*d - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 - 142 = 23*q. Let f(w) = 12*w**3 - 15*w**2 + 15*w. Let n(h) = -3*h**3 + 4*h**2 - 4*h. Let i = 143 - 128. Determine i*n(p) + q*f(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z**2 + z - 1. Let c be y(3). Let t = c + -2. Suppose t = -2*l + 7 - 1. Solve -2*d = l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2032*j - 16990 + 39266 + 8875 + 84673 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:30 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*z - 902*z - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*j**2*o + 2559*j**2 + 30*j + 11687*o - 1 wrt o.\nAnswer: 33*j**2 + 11687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 326*n + 325*n + 56, 7*i = 10*i + 2*n + 31 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 51*d - 2. List the prime factors of t(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -3 + (-11 - (-19 - -9))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 717021.4ms in seconds?\nAnswer: 717.0214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 8) in base 13?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 10. What is the greatest common factor of 589 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*l - 88 + 10*l**2 - 535*l + 59*l = 0. Calculate l.\nAnswer: -1\/5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366*b = 1361*b + 2880. Let j = -2871\/5 + b. Factor j*l + 0 + 1\/5*l**3 - 6\/5*l**2.\nAnswer: l*(l - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 34. Suppose -5*f = -2*t - 86, -3*t + l*t - 171 = 3*f. Let x = 57 + t. Solve 5 = 3*k - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let c be 1 + 1 - (0 + -1). Suppose -c*i - 2*i = 0. Let r(o) = i*o + o + o. Determine p(r(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 20\/12*3. Let g(z) = -z**2 - 2*z + 1. What is g(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -885, 1, 0.\nAnswer: -885, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 118816945 divided by 23763389\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 267, 255, 223, 165, 75, -53?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13456077?\nAnswer: 3, 31, 41, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from iteixtttjytyiy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1.8, -5, 1, 0.4.\nAnswer: -5, 0.4, 1, 1.8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.63 + -1.37. Let m = 260.347 + -261.7. Let j = m - -1.253. Does q = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675768367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 a factor of 47324132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36786 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - 14.5. Let p = 60 + u. Let i = p - 12. Which is the closest to -0.1? (a) 4 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14213140 and 4520.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230821.77 microseconds to minutes.\nAnswer: 0.0038470295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43062?\nAnswer: 2, 3, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -85084bb?\nAnswer: -85084c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s - 5 = 0. Let d(t) = -t**2 + 4*t - 3. Let u be d(4). Let y = s + u. Solve -2*x - 4 = -2*a - y, -x - 7 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905671.5 weeks in seconds?\nAnswer: 547750123200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/(150\/20 - -3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472 divided by 4.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:30 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 - 15*o**2*t**3 - 49*o*t**3 - t**3 + 2*t wrt o?\nAnswer: -12*o**2 - 30*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-6) - (-20)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgevhhkmehhgkhhe. What is prob of sequence kg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1331)*-3)**2 + 4.\nAnswer: 66*sqrt(11) + 11984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1967, 1941, 1899, 1841?\n\"Answer: -8*l**2 - 2*l + 1977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*k**2 + 37*k + 93*k**2 - 184*k**2 wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + 45\/(-5))\/((-3)\/(-375)). Which is smaller: f or -1126\/3?\nAnswer: -1126\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4591 and 0.1.\nAnswer: -459.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 - 7*f**2 - 10*f - 1. Let n be b(6). Suppose -3*v + 171 + 9 = i, -v + n = 2*i. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 18183*v - 1945580. Determine r(107).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) + (-6363)\/28. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2136\/11 - 194. Let t = 379\/6 + -63. Let q = 79\/4 + -239\/12. Which is the nearest to 0.2? (a) t (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 24*k**2 + 2327*k + 11574. Give w(-5).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 11*w - 7*w = 0, -4*p + 2*w - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-3) - (-2)\/3. Let f = 53 + -75. Which is the biggest value? (a) g (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 4:22 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50770 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 + 13727*y**4 + y**3 + 5827*y**2 + 9?\nAnswer: 60*y**2 + 329448*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z**2 + 8*z - 5. Let s(o) = 6*o**2 + 3*o - 2. Let y(j) = -3*c(j) + 8*s(j). Let r = 27 - 40. Let x = r - -14. What is y(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - 95*p**2 + 62*p - 15. What is n(31)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*i - 14. Suppose d = 5*y - 0*d + 706, 0 = -i*d - 16. Let n = 230 + y. Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -93*d + 14*d**2 + 93*d. Let j(a) = -3*a**2. Determine j(f(y)).\nAnswer: -588*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5675*h + 45405. What is i(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7458827 and -27.6?\nAnswer: 7458854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**30\/(f**(-1\/5)\/f*(f\/(f*f*((f\/(f**(-2\/5)*f))\/f*f)\/f))\/f*f) assuming f is positive.\nAnswer: f**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + h + 54, 3*r - 3*h = -2*r + 90. Let p = -13 + r. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/3*y**3 + 1\/360*y**6 + 0*y - 1\/20*y**5 + 1\/4*y**4 + 2*y**2 + 0. Let o(m) be the first derivative of f(m). Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -58.4. Let m = 8.7 - z. Round m to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212607497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) -1\/5 (b) 0.1 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-48\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -23. Suppose -2*h + 154 = g. Suppose 0 = 4*x + 2*r - 52, -2*x = 3*x + 5*r - h. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -822, -55, -8, -5 in decreasing order.\nAnswer: -1, -5, -8, -55, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1049*r**5\/10 + r**4\/6 + 23*r**3 - 3000*r. Find the third derivative of t(i) wrt i.\nAnswer: -12588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s**5 + 0 + 0*s - 6*s**2 + 0*s**3 - 1\/42*s**7 + 0*s**6 - 1\/8*s**4. Find the second derivative of b(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6809*h**4*m**2 + 46*h**4 - 6952531*h**2*m**2 wrt h.\nAnswer: -163416*h*m**2 + 1104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 + (-72)\/154. Let g = 4.5 - 7.5. What is the closest to 1\/4 in -3\/4, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15827 divided by -6.\nAnswer: 15827\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 13*y + 9. Let r(s) = -4*s**2 + 16*s - 10. Let k(j) = -3*d(j) - 2*r(j). Determine k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856244000 rounded to the nearest one million?\nAnswer: 2856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t + 1. Let k(a) be the second derivative of -17*a**3\/6 + 3*a**2 - 58*a. Let h(z) = 3*f(z) - k(z). Let j be (-15)\/(-6)*(-8)\/(-10). Determine h(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002001 (base 4) in base 8?\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(294) - sqrt(294)*1 - sqrt(294)))\/(sqrt(24)*4))\/((sqrt(252) - sqrt(252)*-1*-3)*2))**2.\nAnswer: 7\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 175*o**2 + 89444*o - 28256782?\nAnswer: 350*o + 89444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9231\/(-181) - (4 + -78)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(sqrt(1216) + -1 + sqrt(1216))*3 + -4*(-1 + (sqrt(1216) + sqrt(1216) + 2 + sqrt(1216))*6) + 1.\nAnswer: -1344*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 258. Suppose -44 = -x - 2*z + z, 2*x - q = -z. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -9*k + 90. Let s = k + 14. What is the smallest common multiple of s and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*(2 + -4 + 2). Suppose -5*y - 5 + 16 = -c, x = -3*c + y + 23. What is the derivative of c*s**3 + 6*s**3 + 18 - 3 wrt s?\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56.5 - -56.1. Let g = -1.4 + 1.4. What is the nearest to g in -0.5, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3854*l - 3008*l - 2844*l + 1390*l - 1160*l to the form s*l + y and give s.\nAnswer: -9476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - -94.602510025.\nAnswer: 93.702510025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414251869?\nAnswer: 17, 53, 211, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)*g*g*g**11*(g**(-5\/2)\/g*g)**11 assuming g is positive.\nAnswer: g**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**3 - 12*m - 4*m**3 + 9*m + 3 as g*m**3 + y + i*m**2 + w*m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 315*g + 4*g - 19*g - 216*g.\nAnswer: -546*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 721 or 33938\/47?\nAnswer: 33938\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18972)\/238)\/(-31)*(-35)\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213+1\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -4, 5, -3 in ascending order.\nAnswer: -7, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.539691 decades in years?\nAnswer: 85.39691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 234 in 1, 0.07, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*n = 7*b - 2, -13 = 3*b - 2*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 5, -253, 181, 0 in ascending order.\nAnswer: -253, -30, -1, 0, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 3*w**2 - 2*w**2)*(-1 - 1 + 0)*(3 - 5 + 1).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 6*v**4 - 2*v**4 + (v**4 - 2*v**4 + 0*v**4)*(5 - 4 + 3) - 8455 + 51*v**4 + 8455.\nAnswer: 49*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let f be 66\/55*100\/(-3). What is the smallest common multiple of w and (0 - 5)*96\/f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 - 900*p**4 + 36576*p**3 - 357968*p**2 - 1427712*p = 0.\nAnswer: -3, 0, 26, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23519 - -23519. Is m equal to -7\/306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15) - (-1 + (-8)\/(-30)). Sort 3, 0, c in descending order.\nAnswer: 3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 6*j**2 + j + (0*j + 3*j - 4*j)*(-9*j + 62*j + 49*j + 34*j).\nAnswer: -142*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -88, 8, -3, 0.2.\nAnswer: -88, -3, 0.2, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 395 = -38*s. Factor o**2 + 3 - 42*o - 41*o + s*o.\nAnswer: (o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53562 by 237.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/45 + (-50)\/(-18). Suppose -5 = -4*q + k. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*b + 2*a + a, 5*b + a - 19 = 0. Let u(z) = -z**2 - 7*z + 5. Let v be u(-7). Suppose -2 = -6*r + 4*r. Sort b, r, v in descending order.\nAnswer: v, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 61?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*j + 5 = -t, t = 2*j - 7. Let f be ((-2)\/(-1))\/(4\/(-6)). Let x = f - t. 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: Simplify -1*-4*-5*(sqrt(468) + -2).\nAnswer: -120*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1348*n**2 + 3*n - 3. Let z(w) = -7*w**2 + w - 1. Determine i(u) - 3*z(u).\nAnswer: 1369*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (27 + (-2730)\/105)*(3\/6)\/(1\/(-90))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000263954921 to six decimal places.\nAnswer: -0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032941 rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y)**44\/(y*y*y\/(y**(-13)*y)*y)**29 assuming y is positive.\nAnswer: y**(-332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 - 5*s**3\/6 - 2*s**2 - 3*s. Let g be b(-4). Solve -3*x + x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 5 - 3*h - 17 as u + o*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*a + 194 - 1283. Calculate the lowest common multiple of 561 and a.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**2. Let g(c) be the first derivative of -c**2 - 6. Calculate r(g(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 14358 = 538. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/6, 47 in increasing order.\nAnswer: -0.5, 1\/6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13071 - 6655. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 5*o + 30. Solve 3*z - 1 + 4 = 3*p, -5*z + o = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126868.996 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1107*b**3*d**2 - 90*b**2*d - 2*b*d - 4*d**2 wrt b.\nAnswer: 6642*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 53635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/16 - (-2)\/(-8). Suppose 12 = 4*a, -5*g + q*a + 2 = 12. What is the biggest value in 0.3, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/3)\/((-2)\/2). Let c be (-2)\/(-5) + 28\/o. Suppose -c + 2 = -k. Solve 3*b - 2*b = 3*n - 4, k*n - b = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 3*n**2 + 3. Let z be h(3). Suppose 5 = z*u - 2*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -133001.78\nAnswer: 26600.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 75*r = 2*q + 226, 109 = 25*r + 97 + 357 + 1555 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -1 + 2\/3*d**3 + 0*d + 0*d**2. Let t(o) = -3*o. Calculate x(t(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -13, 73, 157?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2)*2\/6. Suppose -3*z + 5*q + 134 = k, 0*z + q + 87 = 2*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/28 + 34\/(-8). Let g be ((-16)\/(-24))\/(4\/(-6)). Let n be (g\/l)\/((-2)\/(-40)). Solve -n*j + 12 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3 + 25484*n**2\/7 + 7262*n\/7 - 4680 = 0.\nAnswer: -1820, -9\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 0*n**3 - 3*n**3)*(2 - 1 + 8 + 113*n - 90*n).\nAnswer: -46*n**4 - 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274316 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -131896 * 1\nAnswer: -131896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/9, -0.041, 4, -2\/7, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = 7*f. Put f, -13, -5 in increasing order.\nAnswer: -13, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393924 = -19*x + 61525. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = 3*z. Let n(v) = v**3 - 6*v**2 + v - 4. Let r be n(z). Suppose -d = 3 + r. What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x. Suppose u - 1 = x, -u = 4*y - 22 - 27. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6449 or -6408?\nAnswer: -6449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2.1 (c) -0.5 (d) 7\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3102 (base 4) to base 14\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k + 1. Let z(c) = 3*c**2 + 10*c - 4. Suppose f - 1 = 6. What is f*i(l) + 2*z(l)?\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.6 + 20.1. Let d = 5 - 0. Suppose 5*x + 0 = -15. Which is the nearest to g? (a) -0.1 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33141 - -33156. What is the remainder when 796 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-129)\/(-27) - (-8)\/36. Suppose l + l = 8, 0 = t*i - 2*l - 2. Let k be (-3)\/(35\/(-2) - i). Sort k, 2\/7, -0.1 in ascending order.\nAnswer: -0.1, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 17\/(-3))*(0 - -9). Is k less than or equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63\/4, -5, -2, -3\/7, -3 in decreasing order.\nAnswer: -3\/7, -2, -3, -5, -63\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318675432 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21383491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2877710545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 4 + 5*m - 6*m - 3*m - 3*m**3. Let y(o) = 5*o**3 - 5*o**2 + 7*o - 7. What is 7*b(f) + 4*y(f)?\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and 1.775.\nAnswer: 69.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - j = 10, 0 = -3*d - 2*d - 4*j + 2. Suppose -2*h + d = -2*i, 6*h + 5*i = 10*h. Let t(m) = -m**2 + 3*m + 1 - 3 + 0. Calculate t(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-22) - 238\/(-22). Suppose -4*g = -3*t - q, -5*g + 5*t = -5 - 10. Suppose l = g*l - 2. Solve l*w - 2 = -2*v, -2*v + 8 = -0*w + 5*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023214 (base 6) in base 12?\nAnswer: -6ab0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -0*a. Let u(m) = -9 - a - 3 + 19*m + 2. Let b(t) = 3*t - 2. Let c(f) = 39*b(f) - 6*u(f). Let z(y) = 3*y. Give c(z(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + 10. Let p = 11\/5 - 28\/15. Suppose -3*c + 1 = -2*x - 4, 5*x + 5*c = 0. What is the nearest to x in p, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -3)\/(-3)*13. Let n be (-36)\/84 + h\/14. Let z = -0.1 - -0.2. Is z less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -2*o**5\/5 + 53*o**3\/3 - 13*o**2 - 3*o + 969. What is the second derivative of c(x) wrt x?\nAnswer: -24*x**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -12, 4\/5, -0.07, -1\/6 in decreasing order.\nAnswer: 4\/5, -0.07, -2\/21, -1\/6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 11\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301986 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 117, -7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49957 + 722*i**2 + 49957.\nAnswer: 722*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1850*a**3*h**3 + 114*a**3 + 2*a*h**4 wrt h.\nAnswer: -5550*a**3*h**2 + 8*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 8*b - 3. What is the tens digit of x(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 105. Suppose 240*h - 502*h = -252*h. Put d, 5, -5, h in increasing order.\nAnswer: -5, h, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11441 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*t**4 + 27324*t**3 + 12068300.\nAnswer: 128*t**3 + 81972*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -864, 3, 0.51.\nAnswer: -864, 0.51, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -34*r + 201. Give n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -64*q + 66*q - 193, 8*q - 72 = 0. Sort n, 23, -8.\nAnswer: n, -8, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.19 - -0.11. Let n = 20.36 - -0.34. Let y = n + u. Are 2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5336.2\nAnswer: 5336.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*k**(-1\/3)))\/k))**(8\/5))**(-50)\/(((k\/(((k*k**2)\/k)\/k))\/k)**8\/(k**(-2\/7))**29) assuming k is positive.\nAnswer: k**(-2806\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1323 in -1\/5, 74, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17934, -16998, -16062, -15126?\n\"Answer: 936*k - 18870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -172.7. Let j = b + -13.29739. What is j rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 3. Let q(i) = 13*i + 7. Let l(t) = 11*c(t) + 6*q(t). Let f be l(-7). Suppose 0 = -j + f + 2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 92 + 65 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3026906273 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.85 times 2.5\nAnswer: -7.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Suppose -3 = -5*k + 7. Let r(a) = k*a + 11 - 11 + 0. Determine r(h(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 9) in base 8?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000189337016 to 6 dps.\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 37*u - 2. Let c be a(-37). What is the smallest value in 2, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39402 and 134442?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 21. Suppose -v = -l - 4. Suppose -d + 2 + v = 3*t, -4*t + 14 = d. Let s(h) = -h**2 + 8*h + 1. Calculate s(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12956 + 12976. Solve 5*k - u = 5*w, -25*w = -27*w - k + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59734348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:15 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -26*c**2\/15 + 2*c\/15 = 0.\nAnswer: 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7876 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -34. Suppose 3*t = 6*t, -3*t = -4*l + i. Solve -1 + l = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 18 - 98 = 80 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 6, -2, 3, -11 in descending order.\nAnswer: 6, 3, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/3368 and -93\/13472?\nAnswer: 13472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287803 + 104*t**3 - 102*t**3 + 287843.\nAnswer: 2*t**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:01 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {w: 1, n: 1, x: 1, m: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.569 + 76.569. Let g = 44 - 18. Let o be 1\/(-3) - g\/(-60). Is r smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2438 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -29*44\/8*2. Let w be -2 - (-3 - -4) - (u + 0). Is (-4)\/(-6) - w\/(-12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(2*sqrt(832) + sqrt(832))**2.\nAnswer: 14978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68879.2 and 24.\nAnswer: 1653100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)*(1 - 1). Suppose -4*x + 6*o - 3*o + 718 = t, -o + 710 = 4*x. Suppose -g = -692 - x. Round g to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 11*j**4\/24 + 2*j**2 - 8. Let p(f) be the second derivative of v(f). Let l(k) = k**2. What is l(p(i))?\nAnswer: 121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-9 + 18) - (-5 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 44*q**2 + 900*q - 1377. What is t(-22)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*a + 3 - 2*a + 22 - 41 + 20 - 12*a - 4*a + 3*a - a + 3*a - a - a + (1 + 2 - 1)*(-1 + 2*a + 1).\nAnswer: -8*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, 5, 0.14, -154, 2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254*f**2 - 3915014*f + 1 + 3915014*f to the form c*f + m + p*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*b + 16, -10*b - 15 = 3*k - 7*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18.9. Let r = 5 - 4. Sort r, 0, u in decreasing order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11474 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 66*t**2 + 2*t + 5. Let q(y) = 131*y**2 + 4*y + 11. Calculate 7*b(v) - 3*q(v).\nAnswer: 69*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 31 = 5*b + 14, -16*c = -3*b - 240 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -55 + 2*i + 55. Let q(t) = -2*t**2. Calculate r(q(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 60*p**2 + 67*p + 121. Give s(-31).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 6. Suppose 4*m = -2*u - 16, -3*u = 3*m + m + 20. Let v be p(u). Which is the biggest value? (a) -0.2 (b) v (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*(9\/(-9))\/(17\/1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 + (-9 - (-2 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cas. What is prob of sequence sa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 427, 1684, 3773, 6694, 10447, 15032?\n\"Answer: 416*y**2 + 9*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h + 190 = 490 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*p + 5*q + 14 = -925*p, 21*q = 4*p - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120778093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 188927194 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456156452.\nAnswer: 2, 5297, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, 27, -1, 4 in decreasing order.\nAnswer: 27, 7, 6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2435 (base 12) to base 11\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1394*s - 1. Let t be g(1). Let z = t + -940. What are the prime factors of z?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127695.046 to the nearest ten.\nAnswer: -127700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 27 + 542*o**4 - 2*o - 540*o**4 as s*o**2 + z*o**4 + f + q*o + y*o**3 and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30325765199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5633226035 + -5?\nAnswer: -5633226042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 52*u**2 + u + 22 - 81*u**2 - 2*u.\nAnswer: -29*u**2 + 2*u + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 27 - 26)*((-4*d + 0*d + 2*d)*(9 + 23 - 8) - 5 + 1 + 2 + 2*d) as l + u*d and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.989338207 to five dps.\nAnswer: 0.98934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-8 + (0 - -15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 2*t**2 + 0*t**2 - 27 as j*t + l*t**2 + x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389.2 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 9*r + 5. Let v be h(9). Let t(l) = l**3 - 5*l**2 + 6*l + 4. Calculate the remainder when 66 is divided by t(v).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 18 = -5*n. Suppose -3*k = 2*c + c - 300, -468 = -5*c + n*k. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8508 and 442824.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4190 divided by 419\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -10 - 1. What is the smallest common multiple of (-5*(-16)\/120)\/((-2)\/(-30)) and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/6*-1)\/1)\/((-375)\/((-273375)\/(-3402))).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32 + 8*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luw when three letters picked without replacement from hggghwlwgugglll.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-2) + 3 - -37. Suppose 0 = 4*x + 5*f + d, -f = 1 + 3. Calculate the common denominator of 2*(-6)\/x + 2739\/(-264) and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 1 + 5)**2 - sqrt(72) - (-3 + (sqrt(72) + 0 - sqrt(72)))) + 1 + -5*((sqrt(72) + -1 - sqrt(72))*4 - 1*sqrt(72)*-6)**2.\nAnswer: -12928 + 1506*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + 14. 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 the closest to -2\/9 in -1, -6, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2)\/((-2)\/3). Let h(s) = 0*s + 8*s + 6*s + l*s - 13. Let v(x) = -84*x + 64. Let c(b) = -24*h(b) - 5*v(b). Find the first derivative of c(k) wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17333658 divided by -1179?\nAnswer: -14702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12578 = 2*q + 3*i - 10514, 3*q = -i + 34645. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/18 - 15\/9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/36 + 314545\/45. Suppose -5*l - 2*u = -6*u - i, -5*l + 5*u + 6985 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from lllplpuplp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5 = -3*s, 5*s - 2*s + 1 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (158656\/670)\/(-148)*85.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -3\/8, 0, 95.12, 24.\nAnswer: -3, -3\/8, 0, 0.1, 24, 95.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/(-35) + (-8)\/28). Suppose -4*n = -n - y - 15, -a*y = 5*n - 5. Solve 0 = -5*s - 3*v, -n*s + 0*v - 13 = 5*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1) - 12 - 0. Let q(d) = -20*d**2 + 5*d**2 - 3 - 14*d + 6 - d**3. Let k be q(p). Solve k*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16894 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 + 381*l + 90*l to w*l + q and give w.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131140915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5 + 168*l**4 + 911*l**3 + 1347*l**2 + 749*l + 141 = 0. What is l?\nAnswer: -3, -1, -1\/2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715845 less than -54.1755?\nAnswer: -2715899.1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4907*x**4 - 6375?\nAnswer: -19628*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279 - -361. What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2))\/(13 + -23). What is the closest to -1 in -0.1, k, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 - w. Let n be i(6). Let u = -3 - n. Solve -u - 5 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/9, -414, 2, -0.5, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c**2)*(-33*c + 6*c**3 + 33*c) + 3*c**5 + c**5 - 6*c**5 + (-2*c + 2*c - c)*(4*c**4 - 6*c**4 + 4*c**4).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 21630?\nAnswer: 64890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53170, 53164, 53158, 53152?\nAnswer: 53146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + j + 8*j + 5*j + 115*j**2 - 762*j**2 + 11.\nAnswer: -647*j**2 + j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(375)*4)\/(sqrt(10)\/(sqrt(2) - (sqrt(10)\/sqrt(5) + sqrt(2)) - sqrt(2))*3).\nAnswer: -160*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 490\/(-6) - (80\/15)\/(-8). Let y = p - 19. Let o = -69 - y. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -22*k**2 - 4*k - 2. Let x(j) = 7*j**2 + 2*j + 1. What is 7*x(r) + 3*y(r)?\nAnswer: -17*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-4))\/4 + 13. Let p = h - 10. Let c(m) = 16*m**3 - 5*m**2 - m - 3. Is c(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6870 - 6866. Let k(i) = 3*i**2 - i - 6. Let y(p) = -10*p**2 + 4*p + 17. What is o*y(r) + 14*k(r)?\nAnswer: 2*r**2 + 2*r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, t: 3, y: 7}. Give prob of sequence mmm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 344 - 104426?\nAnswer: -104052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -516 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 6*u**2 - 2*u + 6. What is z(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124 - -4783?\nAnswer: 5017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4385920*w**3 + 46992*w**2 + 3916*w. Let j(u) = -7839*u**3 + 84*u**2 + 7*u. Determine -3916*j(x) + 7*m(x).\nAnswer: -3916*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqbcofd. Give prob of picking 1 f, 1 d, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 3\/10, 2\/11, 2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 5. Let v be r(-5). Suppose -4*o + 0*o = b, v = -4*o + 2*b. Solve -l - 3 - 1 = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 2*a**5 + 0*a**5 + 2*a**5 - 3*a**5 + 0*a**5 + (-a - 2*a + 5*a)*(a**4 - a**3 + a**3) + 11*a - 2 + 90*a**5 - 1 - 93*a**5.\nAnswer: -a**5 + 11*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 374 divided by 2\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-70))\/(6\/(-8))*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55612 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -75*n - 1. Let a(k) be the second derivative of 5*k**3\/2 + 25*k - 19. Determine -11*a(c) - 2*l(c).\nAnswer: -15*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 11*v - 43*v)*(3*v**4 + v - 1695 + 1695).\nAnswer: -138*v**5 - 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let a(i) = -7344374*i. Determine s(a(p)).\nAnswer: 7344374*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**3 + 223*o - 4*o**3 + 11*o**3 - 225*o + 18*o**3.\nAnswer: 43*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2. Suppose c = -4*c. Suppose -12 = -3*r + 2*u - u, c = -5*r - 5*u. Let n(k) = 3*k**2 - 3*k + r*k. Give x(n(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94716683 to the nearest integer?\nAnswer: 9732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*28*((-6 - -2) + 3). Let y = 48 + m. Solve u - y = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2714 + -114?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k + 25 = -53*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 28\/3*j**3 + 215 + 0*j**2 - 7\/6*j**6 + 0*j - 103\/5*j**5 - 17*j**4. Find w such that y(w) = 0.\nAnswer: -14, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttzz when four letters picked without replacement from {t: 2, z: 12, g: 5}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29847226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -105*i + 40. Let q(y) = -2*y**2 + 7*y - 2. Let g be q(4). Let r(f) = -208*f + 81. Let m(z) = g*r(z) + 11*v(z). What is the derivative of m(w) wrt w?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -4*(-3)\/36. Is n greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*i**2 - 91*i**2 + 2*i + 51*i**2 as r*i**2 + p*i + f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*x**3*y + x**3 + 371*x + 43*y - 3 wrt y.\nAnswer: 18*x**3 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Suppose 14 = 3*c + g, -c = -0*c + l*g - 1. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 - 23*k**2\/2 + 33*k + 33. Let u be l(21). Sort 2, 0, u in descending order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.8 (c) 2.1 (d) 2\/7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/6 + 2*h**3 + 9*h**2 - 3*h. Factor r(z).\nAnswer: 2*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -270 + 611. Let g = v - 174. List the prime factors of g.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68243*m**3 + 4878*m**2.\nAnswer: -409458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 17*f + 10, -1527 = 3*p - 9*f + 8*f - 1465 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/(i**(-5)\/i*i) assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-12 + 4 - 2)*(2*c**3 - c**3 - 3*c**3).\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*o - 24 = -4*o, -n + 5*o - 6 = 0. Let j = 5 - n. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10200 (base 3) to base 6\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150597479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628 or -45\/4?\nAnswer: -628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**17\/(((r*r*r**(-5\/4))\/r)\/r*r)*(r**(-1\/6)*r)**(-8\/11) assuming r is positive.\nAnswer: r**(2197\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60159 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1375*h - 3. Let t(g) = -2806*g + 7. Calculate 4*t(b) + 9*u(b).\nAnswer: 1151*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 6. Let s = o + -1. What is the third derivative of -2*l**2 - 4*l**3 + 0*l**s + 3*l**3 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*q - 19726 = 0, 3*q = 4*c - 62991 - 15845. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -4, -3\/2, 3, -6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 69*s - 29280 = 0. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 1. Let j(a) = 3*a**2 - 20*a - 163. Let t(u) = j(u) + 4*m(u). What is the first derivative of t(v) wrt v?\nAnswer: -2*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001100010100010 (base 2) to base 10\nAnswer: -268450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g = -24. Let i be 16\/g + (-5)\/(-1). Let q = -9 + 9.3. Put q, i, 2\/15 in increasing order.\nAnswer: 2\/15, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 12 = g - 5*g, -2*g = 4*b + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(405) + -1 - (4 + sqrt(405) + sqrt(405) + -1) - (-5 + ((sqrt(405) - (0 + sqrt(405))) + 2 + -2*sqrt(405) + -5)**2).\nAnswer: -1627 - 117*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:00 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*w - 13 = 0, -5*j + 45 - 15 = -2*w. Suppose 3*g + j*c - 895 = 0, 2*g + c + 289 = 3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 102?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*d - 906*d + 302*d - 254*d**2 + 303*d.\nAnswer: -254*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2759*b + 102095. Determine a(-37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + 30\/8. Suppose w*o + 1 = 17. What is the derivative of n - 1 - o*n + 2*n wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 3179?\nAnswer: -3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 207*p - 5. Let k be a(3). Suppose 2*z = -5*z + k. Let g = z - 42. What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t + 1\/20*t**4 + 5 + 0*t**2 - 1\/15*t**3. Factor h(g).\nAnswer: g**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 2*u**2 - u + 6. List the prime factors of y(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 284661\/2*v + 21\/2*v**3 - 2451*v**2 + 82134.\nAnswer: 3*(v - 117)**2*(7*v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16382062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44905 is divided by 169?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 7405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + (178 - 196)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 - -21?\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:47 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 750 and 7550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**0*o*o**(-1\/2))**(9\/5))**(2\/37) assuming o is positive.\nAnswer: o**(9\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 101*w + 95. Let z be l(-9). Calculate the remainder when 22\/88 + z\/(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v + 83. What is d(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5312488ng to micrograms.\nAnswer: 0.0005312488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 8 (c) 4\/5 (d) -1\/1326\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - 3*i)*(-4*i - 4*i + 19*i)*(0*i + i + 11*i).\nAnswer: -528*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 20*l**3\/3 + 3*l**2 + 3*l + 9. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((2 - 0) + -1). Let r = -1 - u. Let n be (-2)\/4*(-3 - 1). Solve -7 = -n*q - r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i - 4*h + 199, 4*i - 224 = 5*h. Let m = i + -54. Sort m, 2, -4.\nAnswer: -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2. Let y(i) = i**2 + 9*i + 2. Suppose 0 = 8*k - 5*k + 27. Let s be y(k). Let h(n) = 2*n**2 + 3*n**s - 6*n**2. What is h(u(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -35*x**2 - 7. What is i(-2)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z**2 - z - 4. Let i be k(3). Let x = 0 - 72. Let h = x + i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(2\/(-1*12))\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 = -13. Suppose -4*n + s - 5 = -6, 0 = -z*n + 3*s + 10. Let y = n + 7. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118008373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x**2. Let y(v) be the first derivative of v**2 - 5*v + 189. Determine z(y(a)).\nAnswer: -44*a**2 + 220*a - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 620?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5482090 to the nearest integer?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 4, b: 5, e: 4}. What is prob of sequence be?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flvlvvlvlvlflvvvvfl. Give prob of sequence vfvv.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 9 - (-2 + 4). Let r(t) be the second derivative of -8*t + 1\/2*t**2 + 1\/12*t**4 - 5\/6*t**3 + 0. Determine r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97483 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-216)\/(-32) - 7) + (-42)\/(-8). Let x(m) = m**3 - 17*m**2 + 2*m - 24. Let t be x(17). Solve -5*a - t - l = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14501\/12 + 3133\/3. Let z = v + -2272. Find the common denominator of z and (0 + 1)\/18*82.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:26 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/y*y*y**(-4)*y)\/(y**(-8)*y\/y**10) assuming y is positive.\nAnswer: y**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -285. List the prime factors of k.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v, 2*b = -4*v - 1 + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 2*z - 4. Let l(s) = -s + 1. Let r(w) = -4*w**2 - 4*w - 4. Let p(f) = -l(f) + r(f). What is 5*c(t) - 4*p(t)?\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 + 42 + 15 - (26 + -40).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2712576*y. Let u(f) = 207*f**2. Give c(u(r)).\nAnswer: 561503232*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 2*j - 2. Let k be y(1). Suppose -95 = -5*c + 5*u, c - 15 = -2*u - k. Calculate the remainder when 45 - -1*(2 + -1) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56380569*t**2 + 62968533.\nAnswer: 112761138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/2 - 701*v**3\/2 + 45335*v**2 - 533384*v + 488400 = 0.\nAnswer: -814, 1, 12, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6485820 divided by 1585?\nAnswer: 4092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -88 - 86 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 5757*o**4\/4 - 149*o + 602. What is the first derivative of m(v) wrt v?\nAnswer: 17271*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -60.62\nAnswer: 484.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/78 - 239\/(-6). Suppose -166*k - w = -171*k. Suppose -14*x - 1 + 29 = 0. Solve -k = 4*d - x*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150.2826 rounded to the nearest ten?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m**2)*((-1 + 0 + 3)*(5 - 2 + 0) - 2 + 7 - 3 - 7 - 3 - 2)*(-9 + 5 + 8).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0296 + 52.6296. Let r = u + -48. Let t = r - 3.6. Which is the nearest to t? (a) -0.5 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 478839007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000 + -10101?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3.13?\nAnswer: -0.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211332064?\nAnswer: 2, 3671, 27337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3eeac4 (base 15) to base 7\nAnswer: -34544641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - -4 - (7 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*3*3 + sqrt(119) + (sqrt(119) - -3*sqrt(119)*-1))\/(-1*sqrt(252)*-2 - (2*(sqrt(252) + (sqrt(252) - sqrt(252)*-1)) + sqrt(252) + sqrt(252))).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 286, 691, 1208, 1837?\n\"Answer: 56*f**2 + 237*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 2*m**2 - m - 1. Let g be i(2). Let w = g + -8. Solve 3*o + 4*c - w = 0, 2*c - 4 = 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109*0.157.\nAnswer: 17.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.9519 years to millennia.\nAnswer: 0.6979519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-3\/10)*c**13 assuming c is positive.\nAnswer: c**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**6\/90 + q**5\/60 + q**4\/36 - q**3\/18 + 4*q + 1. Let g(p) be the first derivative of d(p). Factor g(a).\nAnswer: -a*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 - (-23 - -91 - 69 - (3 - 18))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 26 = i. Suppose 2*a + 6 = -2. Let d = a + i. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/(-224))\/((-2)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Suppose 0 = -7*z + b*z + 508. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1327692 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/30)\/(((-35)\/(-10))\/(-7)). Which is the nearest to -3\/4? (a) q (b) 2 (c) -2\/31 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 199. Let v = r - -118. Solve v = 3*a + 5*p, 4*a - 2*p = -3*p + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:45 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 3*h + 20*h**2 - 17*h**2 + 2 + (-1 + 2*h + 1)*(-2*h + 0*h + 4*h).\nAnswer: 5*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 14079?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 + s - 11 + (-8*s + 7*s + 7*s)*(4 - 3 - 3) + (-7 + 1 + 2)*(3 + 0 + 1)*(-2*s + s - s).\nAnswer: 21*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 217.09971 milliseconds?\nAnswer: 0.0036183285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l + 16*l + 6517. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (sqrt(448) - (sqrt(448) + -1*sqrt(448))) + sqrt(7) - (sqrt(7) + sqrt(21)\/(sqrt(6)\/sqrt(2)))) + sqrt(63)*1 + -4)**2*-5*6.\nAnswer: -25890 + 2640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z + 12. Let f(r) = -1. Determine -2*c(g) - 24*f(g).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:19 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(4*a - 3*a + 3*a)*(-1141 - 1 - 584).\nAnswer: 6904*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(1100) - ((sqrt(9) + sqrt(36)\/sqrt(4))\/sqrt(3) + sqrt(3)).\nAnswer: -29*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4171 divided by -2?\nAnswer: 4171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 less than 2384740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from pttf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = r, -4*p - 8*r - 12 = -3*r. Suppose -p*k = -4*k + 2. Is 6 a factor of -6*k*(-14)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10 + 8\/5)\/((-4110)\/1233).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 4. Let v(u) = u + 1 - 2 + 2. Let s(o) = o**2 + 15*o - 17. Let m be s(-16). Give m*w(j) - 6*v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y + 2*v + 6, 4*y - 3*v + 1 = 0. Let a = y + 9. Solve -4*x + o = -0*x + 3, -o + a = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11796*j**2*k**2 - j**2*k - 2*j**2 - 401*j wrt k.\nAnswer: 23592*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32861 - 65705 + 32857 + 3*q**3.\nAnswer: 3*q**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5) + (-266)\/(-70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33183\/2458)\/(99\/20)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6367 + 311*q**2 + 6367 + 26*q**2 in the form f + s*q**2 + c*q and give s.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16529, -16570, -16611, -16652?\nAnswer: -16693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**8*j))\/(j\/(j*j*j**(-7)\/j)))**(1\/17) assuming j is positive.\nAnswer: j**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2227 + -13507\/6. Find the common denominator of 11\/4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*10\/5 - -68 - 3. What is the second derivative of -8 + 6 + 0*g - a*g**2 + g**2 + 3*g wrt g?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 259508.8.\nAnswer: -7266246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 7*h**3\/6 - 6*h. Let g(b) = -b**2. Calculate g(a(u)).\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 (base 13) in base 11?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.495979*-790.\nAnswer: 391.82341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 - 3366*x**3 + 6726*x**2 - 3362*x = 0. What is x?\nAnswer: 0, 1, 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 12}. What is prob of sequence us?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h)*(-3*h + 2*h + 0*h + (-2*h + 0*h - h)*(2 - 3 - 1) - 3 + 3 - 2*h + 0 + h + 0).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 121. Solve -5*p + 14 = -f*s - 1, -11 = -2*p - 3*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 - 6*v - 2. Suppose -41*m = -4 + 373. Let x(a) = 11*a**2 + 13*a + 5. Give m*o(n) - 4*x(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 839*i. Let y(w) = -5*w - 7277. Determine r(y(p)).\nAnswer: -4195*p - 6105403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -31*d + 27*d + 90873, 2*j + 22699 = d. What are the prime factors of d?\nAnswer: 3, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/656 + 32\/656\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 - 63 + 87)*(3*b - b - b) - 2*b + 3*b + b + (4*b - 5*b + 2*b)*(-2 + 5 - 2).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000110001011001 (base 2) to base 6.\nAnswer: 4140505","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/196178 and -41\/20.\nAnswer: 1961780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4033 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1373 + -1372.9153. Let i = y + -0.09. Round i to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + (-6 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73947570 plus 0.022?\nAnswer: 73947570.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 2. Let t be m(-7). Let l = t - 6. Is 8 a factor of 1*(l + -2 + 15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 - 11)*(5*b**4 + 401*b**3 - b**2 - 401*b**3).\nAnswer: -15*b**4 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 584352*m + 1753038.\nAnswer: 2*(m + 3)*(m + 292173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*l - 3*x + 71, -l - x = -18. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2 + 2 + 0*p**2 - p**2. Let b(k) be the first derivative of -3*k**3 + 32*k - 5. Let r(t) = 4*t**2 - 16. Let g(a) = 6*b(a) + 13*r(a). What is u(g(c))?\nAnswer: -4*c**4 - 64*c**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -56*g**2 + 14*g + 3. Let k(l) = -56*l**2 + 11*l + 4. Let n(p) = 4*j(p) - 5*k(p). What is the units digit of n(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/8*8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81258 is divided by 117.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8082.8*-1240.\nAnswer: -10022672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - -2.19. What is the nearest to j in 5, 1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/4 + u**4\/12 + 598*u. Let v = 23 - 22. Calculate n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, w: 5, l: 3, c: 1, r: 1}. Give prob of sequence lwlr.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*z - 4, 44*o + 42 = 49*o + 3*z for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 11*q**2 - 5*q + 2. Let u be t(9). Suppose 2*r + 29 = u. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {d: 2, b: 2, e: 1, z: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/70)\/((-54)\/(-21))*(-348)\/(-87)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 9.91.\nAnswer: -4.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -200*i**3 + 3*i**2 + 6*i - 3. Let q(b) = 5800*b**3 - 88*b**2 - 176*b + 88. What is -6*q(l) - 176*t(l)?\nAnswer: 400*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -14) + -6 + -1 + 1996\/1 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -214254528033.6 and -0.05.\nAnswer: -214254528033.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 4788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c + 3*c - 2*c. Let v(r) = -4*r + 2. Suppose -5*u - 8 - 2 = 0. Determine u*g(a) - v(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 1. Let m(f) be the first derivative of -4*f**3\/3 + 3*f**2 + 8*f - 25. Let t(p) = -3*p + 16. Let o be t(7). Give o*x(l) + m(l).\nAnswer: l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 34 = -31. Let v = -6 + g. Solve -4*f + 3 = v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*q - 43, -14 = -2*m - q - 3*q. Suppose 0 = -y + 5*d - 3 - m, -5*y + 2*d - 1 = 0. Let g be (0 - (y + -1))\/(-2). What is g rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 27 = 307 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9249 + -9174 - (-3 + 124)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*h + 39*h - 39*h + (1 - 1 + h)*(-1 + 3 - 1) + 2*h - 2*h + 2*h - 3*h + 2*h - h + 60 + 16*h - 60 - h + 0*h + 0*h as m*h + s and give m.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10 = j. Suppose 135*i = 143*i + 112. Let h = j - i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 49 = -5*r + 39, 2*u + 6 = -3*r. What is the closest to 0 in 8, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*o + 3*o - 7395, -3*o = -5*c - 4447. Suppose 5*j - 4*a - 1449 = o, 0 = -2*a + 6. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 16*p + 5. Let s be g(-16). Suppose 2*k + 5*d = s, 735 = 5*k + d - 5*d. Calculate the common denominator of -143\/18 and k\/84 - (-2)\/(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -25?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w. Suppose -f - 2*l + 13 = 0, -46 = 4*f - 8*f - 2*l. Let d(n) = -2*n + 18 - f - 7. Give r(d(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.045055336 and 5.\nAnswer: 5.045055336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*y = -51, -b = -4*y + 5*y - 7. Suppose -b = -q - 11. Is -17 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/11 - 600*g**4\/11 - 33480*g**3\/11 + 258560*g**2\/11 + 27924480*g\/11 - 334430208\/11 = 0?\nAnswer: -224, -54, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(147)*-3 + -3))**2 + (((sqrt(147) - (sqrt(147) + 2)) + sqrt(147) + 1)**2 - sqrt(147) - (-4 + -2 + sqrt(147) - sqrt(147))) + -5.\nAnswer: 483*sqrt(3) + 5477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 30 - 33 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1455 and -13\/24?\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/22 - -2) + (-1061625)\/(-104500).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.15, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12424073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-396)\/(-6))*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 4*k + 30 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3 + 3604*j**2 + 36340*j + 91100 = 0?\nAnswer: -5, 911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b - 6*b + 0*b - 12. Let m be l(-8). Suppose -t - 61 + 10 = -m*h, -5 = -t. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360*f**3*r**2 - f**3 - 85*f**2*r + 5*f**2 - 4001*f*r**2 + 10*f + r**2 + 5*r wrt f.\nAnswer: 2160*f*r**2 - 6*f - 170*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76684520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 10 + (1 - -3) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 2. Let h be k(-4). Let n be h\/(-12)*4\/(-5). Let a = -0.29 - 0.01. What is the nearest to -2\/3 in a, 3, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2832 + 0?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63471 and -161.\nAnswer: -10218831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/30 - 7*u**5\/60 + 7*u**4\/24 + 11*u**3\/6 - 3*u**2. Let h(n) = 2*n**3 - 3*n**2 + 3*n + 5. What is -3*g(t) + 7*h(t)?\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108198965 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: Let m(o) = -45*o**2 + 116*o + 46. Let q be m(3). Let y = 6 - 4. Which is the third smallest value? (a) y (b) -0.4 (c) q (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 12, 17 in descending order.\nAnswer: 17, 12, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -105, -156, -197, -228?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -6 - (-1 - -4). Let x(s) = -4*s - 1. Let b be x(z). Let j be (2\/b)\/(2\/9). Let d(m) = m**2 - m - 2. Calculate d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311168 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 3, m: 2, k: 9, q: 3}. Give prob of sequence qfm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + 2 + -2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u + 3. Suppose -64 = 793*w - 801*w. Calculate i(w).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeue when four letters picked without replacement from {v: 3, u: 3, d: 8, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5 + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109655701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*i - 8233, -5*l = 4*i - 2*l + 16481. Let v = i - -6285. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 114 = 4*y. Let m = y + 11. Suppose 5*b - 3*b + 92 = 4*a, -2*a - 2*b + m = 0. Solve k + a = -5*h, 3*k = -k + 3*h + 31 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 - 4*s**2 + 9*s**2 - 40 to the form g*s + r + v*s**2 and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 250, 428, 600, 766, 926?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246323, 246318, 246313?\nAnswer: 246308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(23\/3))\/(f**28\/f)*(f*f**(2\/3))\/((f*((f*(f**(-34)*f*f)\/f)\/f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, 3\/5, -1\/29?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -2169, -4874, -8653, -13500?\nAnswer: -19409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1 + 3)*8. Suppose -6*p - 2*s = -2*p - a, -4*s = 0. What is the lowest common multiple of (16\/(-12))\/(2\/(-27)) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62\/163 - -1490\/489. Which is the smallest value? (a) 2 (b) i (c) 5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102.00000069 - 102. What is d rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1995?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1798160 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 28*a**2 - 9*a - 14. Let k(m) = -23*m**2 + 10*m + 14. Determine -5*d(j) - 6*k(j).\nAnswer: -2*j**2 - 15*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3183119 to four dps.\nAnswer: 3.3183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.86 times -3?\nAnswer: -89.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608 = q + 5*t - 625, -4*t = -5*q - 31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12897 and -5832.\nAnswer: 7065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -76.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1079644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.91 - -0.09. Let t = -5 + 8. Let q = t - f. Which is bigger: q or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.15 - 191.15. Let g = f - -183. Which is the third biggest value? (a) 5 (b) g (c) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435 - -615. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-15)*2\/5*(-444)\/333. Which is the fourth smallest value? (a) -1\/3 (b) 1 (c) g (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**2 + b - 2. Let c be z(-2). Is (-155)\/(-9) - 8\/c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 25. Let y = s - 2. Find f such that -2\/5 + 0*f + 0*f**3 - 2\/5*f**4 + 4\/5*f**y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 - 15*v - 4. Let h(l) = 7*l**2 - 8*l - 2. Give -11*h(r) + 6*k(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 729*v**3 + 7880*v**2 + 3055*v + 280 wrt v?\nAnswer: 4374*v + 15760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25\/123 - -4553\/615. Factor 3\/5*k**3 + 144\/5*k + 192\/5 + l*k**2.\nAnswer: 3*(k + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 2*r - 19. Determine p(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7553196 divided by -3776598?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10251.1 + 687?\nAnswer: -9564.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 3*i - 4. Let o be y(4). Suppose -2*v = -o*v - 24. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/3622 and -97\/10.\nAnswer: 18110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from femeennmfnfmnfe.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.09255 or 627?\nAnswer: 627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + -1 + 3 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6769287)\/4620 - 1\/(-4). Let n = 1465 + j. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 75 = -5*a, 50 + 10 = 4*c - 3*a. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -29. What is the closest to -1\/2 in n, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.61 - 1.57. Let z = a + 8. Let q = -0.08 - z. What is the second smallest value in -0.01, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22608 = 255*b + 59*b. Calculate the highest common divisor of b and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16535988 a multiple of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 13*j = 16*j - 962, -2*l + j = 958. Let i = l - -486. Calculate the smallest common multiple of i and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozrzwzxowwwww. What is prob of picking 1 r and 2 z?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6274 or 41\/3?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10330237 - 19*u**2 + 10330237.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/13 - 80*h\/13 + 264 = 0. Calculate h.\nAnswer: -66, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 10*c**2 + 9*c + 2. Let r be k(-9). Suppose 3*q + 0 - r = v, 5*v = 3*q + 14. Calculate the highest common factor of v and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose 2*a - 11 + v = 0, -4*h = 5*a - 32. Solve h*q + 5*c - 19 = c, q + 5*c - 21 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 79 + 156 - 68.\nAnswer: 2*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18609 + 18611. Which is the closest to z? (a) -1.5 (b) -2 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27*1)\/((-714)\/(-68)))\/((-55)\/770).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(153)*1 - sqrt(153)) - (-5 + (4 + 0 + sqrt(153) - sqrt(153)))**2) + -4 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**3\/6 - 5*j**2\/2 + 3*j. Let g be r(8). Let 3*y**3 - 2*y**2 + 2*y**4 - g*y**3 - 2*y**3 + 2*y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4\/7 - 1020*n**3\/7 - 99072*n**2\/7 - 1008384*n\/7 + 170287104\/7 = 0.\nAnswer: -164, -104, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 5344.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*c + 33*c + 47*c to the form r + z*c and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 10. Let d be f(-2). Let h be (1\/(-1) + 0)*-3. What is the highest common divisor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -23*h**2 + 13 - 2 - 2. Let q(f) = -8*f**2 + 3. Determine -6*j(m) + 17*q(m).\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 8*j**2 - 5*j - 14. Let y be b(-6). Suppose -20*v = -18*v - y. Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37134592*o**2 + 13025724*o + 2?\nAnswer: 74269184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1072800 and 217800?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r + 68 = 0. Let v = r + 240\/7. Which is the nearest to v? (a) 1\/3 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.6 + -21.369. Let c = w - 0.454. Let u = 0.21974 + c. Round u to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.079 + -0.579. Sort -3, -6, z.\nAnswer: -6, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*o = -4, 2*n + 5*o - 1 = -2*n. Let x(t) = -4*t + 2. Let u(v) = 13*v - 7. Let b(m) = n*u(m) + 14*x(m). List the prime factors of b(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -s - 117. Let r = 136 + s. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6842, -6840, -6838?\n\"Answer: 2*s - 6844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/2 - d**3 - d**2\/2 - 18. Find c, given that m(c) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rntrahv. What is prob of sequence vth?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126480607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u = 5, 21 = 2*s + u. Differentiate 15*r**2 + 101 - 5*r**2 - s with respect to r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*b - 52143 - 91047. What are the prime factors of b?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:29 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1511 + 2162. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 6. Let p be (-1)\/(15\/(-27)) - 12\/6. Sort 2, p, d in decreasing order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.7961734 rounded to two dps?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, -3, -9 in ascending order.\nAnswer: -9, -3, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 1 = 5*r. Let c(b) = b**3 - 5*b**2 + 4. Let u be c(r). Let v = -5.6 - -6. What is the closest to -1\/4 in v, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 3*c**2 + c. Let r be u(-4). List the prime factors of r\/((-3)\/(-3) + -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*r - a = 256*r + 10, -r = -35*a - 176 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -123, 1, 3, 0 in ascending order.\nAnswer: -123, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*o**2*u + 94*o**2*z + 4*o*u*z + 11*o*u + 45*o*z wrt u?\nAnswer: 41*o**2 + 4*o*z + 11*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266.6 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20418)\/(-33))\/(-1) + (-28)\/98*7. Is -621 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.75669 millimeters to centimeters.\nAnswer: 7.575669","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-11) + (-7569)\/17226)*-44 + -4 + 0\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwwwwwwtwwwwwwwwww. Give prob of sequence tt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 2.5, -5 in ascending order.\nAnswer: -5, 0, 0.1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -365 + 369. Suppose 3*v - 14 = -5*u, -5*v + 2*v + 10 = a*u. Solve -u*g = 0, -2*g - 1 - 2 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3*sqrt(432))**2*3 - (-2 + sqrt(432) + sqrt(432)*-1 - (sqrt(432)*1 + 0))**2)*1*-4.\nAnswer: -45212 - 4128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-9) + -1 + 20\/15. Let a(i) = -227*i + 8 - 1 - 86*i - q. Let u(w) = w**2. Give u(a(l)).\nAnswer: 97969*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {h: 5, w: 1, y: 1, a: 2, u: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2345.\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + -3*(-5 + ((sqrt(1331) - (-2 + sqrt(1331))) + 4)*-3) + 3))**2.\nAnswer: 4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 564, 841, 1120, 1401, 1684?\nAnswer: 1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 17 + q - 2 + (1 + 0 + 2)*(-q + 3 - 3) to the form o + b*q and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/82 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - z**2. Let k be h(1). Let b = 105 - 191. List the prime factors of 1\/k - b\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385631149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by (-5 + 7)\/(4\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/5 + 2172*h**2\/5 - 44072*h\/5 + 185808\/5 = 0. What is h?\nAnswer: -1106, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -43*m + 133*m + 7 + 144*m - 97 - 48*m. Is g(5) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*v + 5*f - 89, 0 = 5*v - 4*f + 139. Let w = v + 27. Solve -2*i = -w*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = 2*x + x, -5*x - 20 = -5*q. Let k = -16 - -23. Let c = k + x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 452773496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5.4. Which is the biggest value? (a) 0.2 (b) m (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942602464 a multiple of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 1. Let h(n) = -4*n**2 + 2*n + 3. Let b(y) = y + 31. Let p be b(-36). Determine p*s(l) + h(l).\nAnswer: l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -70850\nAnswer: 21255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -1 (c) 2\/7 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -0*s. Let q be 72\/(-3 - -5)*(1 + 0). Let k = q + -24. What is the lowest common multiple of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/4, 0.4, 5\/3, 2\/269, -0.1005, -129?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gwgwwzgzuwzwzwz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -17.44\nAnswer: 17.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1343, -2693, -4069, -5483, -6947?\n\"Answer: -2*c**3 - c**2 - 1333*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - l**2 + 0*l**2)*(2 - 2 + l) - 26530 - 26122*l**3 + 67030*l**3 + 26530 - 5*l**2 + 5*l**2 to t*l**3 + v*l + f*l**2 + k and give t.\nAnswer: 40910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwwwwwwwwww. What is prob of sequence wz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 13*p**2 + 41*p - 2. Give g(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 2*n + 2*n)*(898 + 13*n**2 + 892 - 1811).\nAnswer: -26*n**3 + 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33a4a - 7?\nAnswer: 33a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1216) + -5.\nAnswer: -3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317113607*n**3 - 2*n**2 - 2578739 wrt n.\nAnswer: -1902681642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -361 + -4?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*r - 14, -x + 0*r + 21 = 4*r. Let b = x - 10. What is the remainder when b is divided by (-18)\/(-8) - (-2 - 70\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 12*q - 9*q + 14, 0 = 4*p - 5*q + 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*y - 5 = 0, 182*y + 25 = 187*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 2\/(2184\/3567). Let g = -175\/14508 + -2\/279. Let y = g - i. Are 0 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(1100) - sqrt(1100))*-2 + 4 - ((sqrt(1100) + -6*-2*sqrt(1100))*-4)**2)*-2.\nAnswer: 5948793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-2 - -4) + -3). Let i be (2\/(-4))\/(n\/6). Suppose -2*y + i*y = 2. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4379, -11971, -22771, -36785, -54019, -74479, -98171?\nAnswer: -125101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/12 - 10*h**3\/3 + 6*h**2 - 29*h. Let u be c(-18). What is the units digit of (u\/20 - 2)*(0 - -150)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300))**2*-3*5 - (1*sqrt(1300)*4 - (sqrt(1300)*1 + -2)).\nAnswer: -19562 - 630*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832*x + 1688*x - 6120 = 839*x. What is the remainder when x is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 21*n**2 + 11*n + 10. Let r(c) be the first derivative of 4*c**3\/3 + c**2 + 2*c + 40. What is -2*a(f) + 11*r(f)?\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 4*s**2 + s - 2. Let d be m(4). Suppose -f = d*f. Suppose -4*i + 3*i + 3*n + 1 = f, -5*i + 3*n = -17. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 11*r**2 + 10*r - 134. What is a(11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1246728 and 6516?\nAnswer: 3740184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/692412 and -40\/77?\nAnswer: 7616532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 (base 9) in base 13?\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 1 - 5. Suppose 6*p + 4 - 11*p - 25*p + 28*p**4 - 78*p**3 + 76*p**a = 0. Calculate p.\nAnswer: 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6525422 (base 8) in base 4?\nAnswer: 12222230102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6 - 284217.\nAnswer: -284218.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v**2 - 113*v**2 + 1 + 26*v**2 + 26*v**2 + 27*v**2.\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 5*t**4\/12 - 4*t**3\/3 + 5*t**2 - 284*t. Find the second derivative of s(o) wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57324 and 1158006.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-19\/3)\/(h**1*h)**(-21) assuming h is positive.\nAnswer: h**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 25 = -5*a + 2*x, 5*a - 10 = -2*x. Let k be 12\/((-11 + 5)\/(-2)). Suppose -t - 3 = 2*w - 8, -10 = k*t - 2*w. Sort 2, a, t in decreasing order.\nAnswer: a, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-38)*(-201)\/(-1206)*5\/(25\/15)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2653, -2724, -2811, -2920, -3057?\n\"Answer: -w**3 - 2*w**2 - 58*w - 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -21. Let r(x) = -120*x**2 - 8 - 4*x + 121*x**2 - 2*x. Give r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 19*v**2 + 14*v + 548. What is g(-18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -42*q**2 + 12. Let b(m) = 2*m**2 - 1. Determine -12*b(z) - v(z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m**2 + 2*m + 3*m + 7 + 6 - 10 + 1 + 16*m**2. Let k(c) = -2*c**2 - 3*c - 3. Let x(p) = p + 11. Let b be x(-6). What is b*w(f) + 8*k(f)?\nAnswer: -f**2 + f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/42 + 0)\/((-2)\/4). Let w = 147 - 1321\/9. Which is the nearest to o? (a) 0.4 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2*b = 2, s + 4*b - 3 = -20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 - 0 - 1). Suppose 0 = -3*z + 4*z - t. What is the greatest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.5 (b) 1 (c) -0.3 (d) -2\/11 (e) -222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*g = -396, -4*z = -22*g + 23*g + 388. Put -1, 4, -3, z in decreasing order.\nAnswer: 4, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a75 + -2b?\nAnswer: -16aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -51*v**3 + 6*v**2 - 26*v + 8. Let u(p) = -52*p**3 + 5*p**2 - 25*p + 7. Let f(g) = -5*d(g) + 6*u(g). Find the second derivative of f(b) wrt b.\nAnswer: -342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 7 + 24)*(-8 + 8 + 5*w)*(2 - 3 + 0) in the form s*w + a and give s.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 3*q + 0*q + (0 + 0 - 2*q)*(58 - 37 - 72) in the form z + l*q and give l.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8 and -43\/779.\nAnswer: 6232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + 150\/45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1 + 1145\/(-856). Let a = 4\/107 - k. Calculate the common denominator of a and ((-22)\/(-8))\/(10\/4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220 - -228. Let u = 4 + -1. Solve -u*i = i + g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 11*b - 9. Let x be c(7). Let u(s) = -2012*s + 5. Let p be u(0). Solve p*g = j - x, 4*g + 1 = g - 2*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:24 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519*q - 413*q + 367*q - 21 + 19 + 2.\nAnswer: 1473*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*g + 560 = -455*g. Calculate the remainder when 214 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((550\/(-15))\/11)\/((-5)\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 23*f**3 - f**2 - 1934*f - 1933. Give h(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 3*n + 20. Let x = -209 - -330. Suppose n*w = -41 + x. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.00392? (a) 1\/2 (b) 3 (c) 2 (d) -8 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16439407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 54. Let x be o(0). Is 11 a factor of 2586\/x + 2\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -1)*13\/(-78). Which is the nearest to -1? (a) n (b) -3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 1. Let c(f) = -f + 2. Let b(y) = 2*c(y) - 3*h(y). Let x(n) = -n. Let q be x(-1). Let d be b(q). Solve -d = -3*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 33*i**2 - 252*i - 12. Let k(t) = -29*t**2 + 253*t + 10. Give 8*k(f) + 7*q(f).\nAnswer: -f**2 + 260*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/340 - 10568994\/(-2780). Let s = i + -3802. Is 0 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/60 + 19*q**2. Let c(r) be the third derivative of -8*r**2 + 0*r**3 + 0 + 0*r**4 + 1\/15*r**5 + 0*r. Give c(k(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 305*h = 310*h + 43, 0 = -5*y - 5*h + 85 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5931\/5 - 77113\/65. What is the nearest to 83 in -0.2, v, 11, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023059391 rounded to 4 decimal places?\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/81 and 31\/576.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 22. Calculate o(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 24. Let a(z) = 2*z - 9. Let l be a(s). Suppose 2*w + 516 = 4*r, l*r - 3*r - 524 = 4*w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - ((1 - 3) + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(15\/(-25) - (-30)\/(-75)). Which is the third smallest value? (a) -1036 (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 25 = 215. Solve -i*d + 25 = -17*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9807285 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-46)\/(-207) + 13192\/9?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 9 + 44 - 6 - 12 - 7.\nAnswer: -4*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:39 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 1.2. Let k = -6 - -13. Let p = k - 9. Which is the closest to -1? (a) -0.2 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from {k: 3, e: 6, u: 2, w: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -551 in 14, 4, 1\/4, -1\/5, -35\/24?\nAnswer: -35\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 2*t**2 - 2*t. Suppose 3*k - 7*k = p + 8, 0 = -2*p. Let w be l(k). What is the second derivative of w*s**5 + 0*s**5 + s + 3*s wrt s?\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q**2 + 240*q**2 + 90*q**2 + 6460.\nAnswer: 276*q**2 + 6460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-10))\/(13\/(-390)). Let a be 78\/v - 2 - (-2)\/3. Solve 3 - 6*t + 4*t**3 - 4*t**4 - 8*t**2 + 6 + 2*t**3 + a*t**4 = 0 for t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*l + 12, -3*l + 295*n - 14 = 299*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 34*q + 104. Determine g(-9).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 17 = -3*a, 5*j - 214959 = 5*a - 214999 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 8*y**2 + 2*y + 7. What is the hundreds digit of t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - 142 + 70 + g as n*g + r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 14740979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z - 4. Let q(o) = -3*o**2 - 7*o + 14. Let u(t) = 7*l(t) + 2*q(t). Let v(g) = -121*g. What is v(u(m))?\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 129. Suppose -3*g - 1 + t = 0. Suppose 38*q = 35*q + g. What is the greatest common divisor of 66 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 10*w + 13. Let j be h(9). Solve 2*k - j = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 1\/21*h**7 + 0*h + 0 - 8\/15*h**5 + 0*h**6 + 0*h**4 + 0*h**3 - 21*h**2. Find the third derivative of q(b) wrt b.\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 11, -14, -47, -88?\n\"Answer: -4*n**2 - 5*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7068 divided by -6.\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/17125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21824057 + 5\nAnswer: -21824052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 - 168. What is the biggest value in v, -3\/5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -4\/5, 2\/95, 782, 3, 0.2?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3034*q - 2*q**2 - 2*q**2 + 2*q**2 - 3034*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 8:46 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a14971a + -5?\nAnswer: -a149724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*z - 116 + 35*z + 86*z - 55 - 9 wrt z.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25764\/1130*105\/(-21)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -63. Let l(p) = p + 1. Let g(m) = -1. Calculate t*g(k) - l(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 12*b - 14*b. Let l be (-1 + 1\/2)*32. Let n = l + b. Solve -5*r = -2*r - 5*x - n, 0 = 4*x + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-760)\/247)\/((-9)\/(702\/12))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 + 20*y**5 + y**5 + (-2*y**2 + 0*y + 0*y)*(2*y**3 - 5*y**3 + 2*y**3).\nAnswer: 17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205780929 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.04, 2.85, -2236?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 7:56 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 584152651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 0.1. Let q = 0.3 - 0.32. Let t = 0.98 - q. Which is the closest to t? (a) -4 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 15\/(-630)*-266. Solve 0 + 2\/3*y**4 - k*y**2 - 1\/3*y**3 + 0*y = 0 for y.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from opoosoooopooooooo?\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let f be j(-2). Let r = 3 - f. What are the prime factors of -2*-26*r\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6980 divided by 349\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/((2\/25)\/((4340\/(-25))\/7))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5447 = 20243. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243330788.64069831 + 243330787. Let z = t - -1.1506972. Let d = z - -0.49. What is d rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-6)\/(-5) + (-3)\/5). Which is bigger: y or 14\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.26.\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 954\/159*-2*1\/56*-2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 divided by 65?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859799 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/6 + f**3\/6 - 2*f**2 - 14*f. Let i be x(-2). Solve i = b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.256 to 1 decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.542091 - 170343?\nAnswer: -170342.457909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 8\/7 (c) -36 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992*y + 24668 = 111*y for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*132.48062.\nAnswer: 26.496124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 2269224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 - 706. Let m = 546 + l. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 3*z + 0*z + 2*z. Let g(l) = -2*l. Determine f(g(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174\/(3 + 0) + -3 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2411 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) 4\/3 (b) 0.3 (c) 15.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 65 - (5 + -2 + (-55 - (-3 - 41)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1728, -1736, -1756, -1794, -1856, -1948, -2076?\n\"Answer: -w**3 - w - 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(72) + -3*sqrt(72)*3)\/(-6*sqrt(324)*2*4*-4).\nAnswer: -sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtrdadddd. Give prob of picking 4 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45144\/11308 + ((-4)\/(-3) - (-7840)\/(-1470)).\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 1, x: 1, y: 2}. Give prob of picking 1 l and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 98*b - 2. Let u(f) = -294*f + 6. What is 3*u(a) + 8*x(a)?\nAnswer: -98*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 0. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let l = 0 - -4. Let j(f) = -f**2 + 3*f + 5. Let r be j(l). Which is the nearest to r? (a) o (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z. Let b(t) = 5*t - 21 - 4*t + 9 + 15 + 4*t. Let n(i) = i + 1. Let f(c) = -4*b(c) + 12*n(c). What is -4*f(a) + 3*s(a)?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 74.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 15 - 51)*(-s**2 + 3*s**2 + s**2).\nAnswer: -198*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 8. Let d(x) = 13*x + 24. What is -2*d(c) - 7*t(c)?\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s - 10 - 12*s**2 + s**3 - 3*s**2 + 24*s. Let r be f(14). Let n be -2 - (-6 + 0)\/3. Solve -r = -n*y + y - p, 5*y - 2*p = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*w**5\/4 + 561*w**4 + 11235*w**3\/2 + 8766*w**2 - 6939*w\/4 + 81 = 0. What is w?\nAnswer: -3, 1\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 172*b - 6018. Determine w(56).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -15. Suppose 20 = 4*y - 4*w, 5*w - 6 + k = 2*y. Is 2\/7 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 8*z + 6. Let x be f(8). Suppose 12*h - 10*h - x = 0. Solve -15 = -6*t + h*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-286) + 12645\/(-110). Sort z, 0.5, -62.\nAnswer: z, -62, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 100?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4945*o - 1318. Is f(-41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.39021 nanograms in grams?\nAnswer: 0.00000004839021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x = -134*x - 1. Put 3, 4, 5, x in descending order.\nAnswer: 5, 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 356, 1287, 3118, 6149?\n\"Answer: 50*j**3 - 19*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let y(l) be the first derivative of -140*l**3\/3 - 60. What is b(y(q))?\nAnswer: 280*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -108441884 divided by -4\nAnswer: 27110471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 3. Let u be k(-1). Suppose 2*y + y - 152 = -2*j, -u*j - 25 = 0. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 + 2 + 13 - 15 - 2*t wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15195.5 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65051 - 65071 = 2*z - 5*f, -z - 2*f = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 1, k: 1, v: 3, w: 3, o: 1}. Give prob of picking 2 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 1\/25, 5, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/(-2))\/(4\/(-20)). What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136*8084\nAnswer: 1099424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - -2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 13*q + 9. Let s(v) = 2*v**2 - 25*v + 16. Determine 5*f(r) - 3*s(r).\nAnswer: -r**2 + 10*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 7*s**2 + 4. Let d be c(5). Suppose 30 + 44 = 2*t. Let f = t + -19. What is the greatest common divisor of f and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 23789448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.480029 decades in millennia?\nAnswer: 0.08480029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4346 - -34701\/8. Suppose 0 = 2*o + 16 - 0. Calculate the common denominator of ((-2)\/o)\/((-25)\/(-10)) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 8 + 82 = -5*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2 - 2)*(0*u - 2*u + 3*u)*(-5*u + 4*u + 7*u)*(-u + 0*u + 0*u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3.5\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1727246 or 1727247?\nAnswer: 1727247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 54*v - 216. Let l be q(4). Suppose -4*p = -4*m - 4, 3*m + 2*p + 3 = -2*p. Let r be -1 + (-2)\/((-2)\/(-3)). Sort l, m, -2, r in descending order.\nAnswer: l, m, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*n = -4*z + 40, 0 = -2*n - 4*z + 26 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -632539292.4 to the nearest one hundred thousand.\nAnswer: -632500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g + 6*g + 7*g)*(-4*g**3 + 0*g**3 + 5*g**3).\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*s + 10109, -77*s - x - 3373 = -78*s. Calculate the remainder when s is divided by 1681.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m + 12004 - 10287 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -21.44. Let v = 89556700.44000147 + -89556700. Let f = x + v. Round f to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*m**5 - 15*m**4 + 328*m.\nAnswer: -860*m**3 - 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 54 + 48 - 5*x**2 + 53 - 160.\nAnswer: -7*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 23 = 4*u - 27, 164*u + 3*f = 159*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4891 - 4873. Solve 0 = -2*t + 7*r - 5*r - 4, 2*t + 5*r + x = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 3537.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(77))\/sqrt(7).\nAnswer: -sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/(-6)*(-168)\/(-112).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1103*g - 1121*g - 108 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (5 - -3) + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + (sqrt(152) + -3*sqrt(152) + sqrt(152))*-1 + sqrt(152))*4)\/(6*-6*sqrt(32)).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 58*r**3 - 4*r**2 + 43*r + 17. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.839718 minutes in hours?\nAnswer: 0.3639953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/60 + 4*p**2. Let z(b) = -2*b**2 + 12*b - 12. Let w(f) = -f + 1. Let u(q) = -12*w(q) - z(q). Give u(l(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -y + 15, 3*h - 24 = -0*y - 4*y. Suppose -z + 2 = 6, -h*s + 4*z = -828. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 divided by 18?\nAnswer: -175\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + -1. List the prime factors of (-956)\/(-14) - (-4)\/r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366 and 2?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/24*51\/17.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6485570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 3*r - 2. Let i(x) = 3*x**2 + 2*x - 15. Let u(n) = -n**2 - n - 2. Let w(k) = i(k) - 5*u(k). Suppose -4*g = -13 - 7. Give g*v(h) - 2*w(h).\nAnswer: 4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/110*(-16)\/(-36)*30\/(-24).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -71*u**2\/2 + 5*u - 12912. Let g(l) = 3*l**2. Calculate g(y(o)).\nAnswer: 15123*o**2 - 2130*o + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y - 10522 = -42*y - 4*q, 4*y + q = 21044. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p - 1. Let v(y) = -12*y + 96. Let g(t) = t + 8. Let b(h) = -12*g(h) + v(h). What is u(b(o))?\nAnswer: 96*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294082437 is divided by 147041216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*r - 287 - 249 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.059.\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 2*n + 1094 = 2172 - 1086, -5*n + 100 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x - 5*w = -129, x - 77 = -5*w. Suppose 3*y + 2*i = 330, y - 2*y + 5*i = -110. Let z = y - x. Is z 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 -97260, -97262, -97264, -97266?\n\"Answer: -2*z - 97258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**3 + 9*i**3 - 20*i**3)*(-2*i**2 + 2*i**2 + i**2).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 70\/(-42) + (-117166)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = 3*y, 0 = 2*y - 3*p + 3 - 2. Solve 4*x = 17 - y, -5*d + x = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95098\/27970*(9\/2 + 1\/2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 774 + -3?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 7. Let g = 37 - 32.5. Let s = y + g. Which is the nearest to 0.1? (a) -5 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*g + 4*s, 0 = 89*g - 90*g - 8*s - 10 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h - 12. Let r be ((-6)\/(6 + -4) - -6) + h. Suppose -r*n = -3*l + 462, -4*l + 154 = -3*l - n. What are the prime factors of l?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 5*g + 2. Suppose -12 = -20*y + 8. Let m be j(y). Suppose a - 2 = -a - 4*r, 4*r = 0. Calculate the greatest common divisor of m and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28476724?\nAnswer: 2, 29, 31, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10 = -4*x, 2*x - 394*i - 86 = -380*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -15*h + 108. Suppose -h = 10*a + 12. Let l(g) = g**2 + g. Give l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1646474.\nAnswer: 1\/823237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47056*z**3 + 282470 wrt z?\nAnswer: -141168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77640 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (27300\/195 - 174) + 1702\/50?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9335*f + 7918 + 1084 - 368*f - 2380 wrt f.\nAnswer: 8967","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 3:48 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15784 + 19674. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/2 - -3*(-98)\/(-42). Let q(x) = -6*x - 1. Let p(s) = -31*s - 4. Let n(o) = 6*p(o) - 33*q(o). What is the tens digit of n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 19*w**2 - 10*w - 168. Let o be c(12). What is the highest common divisor of 624 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9\/(-6))\/((-96)\/1508608)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.21 (b) -0.4 (c) -1\/11 (d) 5 (e) -2\/23 (f) 56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5513 - 3487. Suppose -130 = -2*f - g + b, -g - 1078 = -f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223411 (base 5) to base 9\nAnswer: 11847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adoohwhododosdw. Give prob of picking 1 h and 1 w.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8) + (-102)\/8. Let i = 5 + y. Let c = -3 - i. Calculate the greatest common divisor of 36 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52354\/7 and 7478 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -43151 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*u - 22, -6*z - 5*u = -z + 125. Let i = z - -28. Suppose 4 + 0 = 2*b. Solve -i = b*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 6*m**2 + 2*m - 7. Let z be a(6). Suppose 5 = -2*x - 5*u - 9, 35 = 5*x - z*u. Suppose -d + 64 = x*d. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13535)\/(-10))\/((-6)\/(-36)*3). Suppose h + 1909 = 2*b, -3*b - h + 144 = -y. List the prime factors of b.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 2*sqrt(2))*-3*-2 - (sqrt(22)*2*6)\/(-5*sqrt(11)*-2))*-4 + -2)**2.\nAnswer: 31968*sqrt(2)\/5 + 230212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2 + 3\/(-3). Let f be 6\/(-15) + q\/(-10). Find the third derivative of -g**6 + f*g**6 + g**2 + 3*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g - 1348 + 508 = 76*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Let p be ((-2)\/((-4)\/6))\/(11433\/(-296) + 39). Solve 0 = 5*o - p*o - g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 3.5, 726\/169?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 214891 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from {y: 7, e: 6}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:37 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m = -43*m - a - 19, -2*a + 53 = 5*m. What is the remainder when 697 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 19487*u**2\/2 + 38988*u + 116946.\nAnswer: -(u - 6)*(u + 2)*(u + 19491)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 14\/(-12) - 1707\/1138. What is the closest to 2 in -0.1, l, -0.5, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*n**2 + 2*n**4 - 6*n - 2 + n - 7*n**3 + 5*n**3 + 2*n to the form x*n**4 + j*n**2 + y*n**3 + k*n + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/7480)\/(6\/(-30)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4358*y + 9 = 4362*y + u, 7 = 4*y - u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5ca (base 13) to base 12\nAnswer: -703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 + g**2)*(-7*g + 0*g - 4*g)*(11 - 5 - 4) - g**3 + 0*g**3 - 5*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 62 = -3*b - b, 5*d + 4*b = 38. Let c(j) = -8*j**2 + 7*j**2 + 5 - 12*j + 2*j**2. Let y be c(12). Solve 0 = -s - v + 3, -y*v + d + 5 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2535\/(-234))\/13)\/(1\/12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.982165 hours to microseconds.\nAnswer: 3535794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 3*s - 4. Let a(p) = -p**3 + 8*p**2 - 10*p + 3. What is the smallest common multiple of o(7) and a(6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 72*r**2 - 28*r + 28. Let w(d) = 360*d**2 - 168*d**2 - 184*d**2 - 5 - 3*d + 8. Calculate 3*t(y) - 28*w(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863266 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*f**2 + 17*f**2 + 6*f**3 + (-4*f + f + 4*f)*(3*f**2 + 2*f + 0*f - f).\nAnswer: 9*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 28*h - 12. What is the units digit of y(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6*d + 8*d - 212, d - 94 = -3*k. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -21*q - 120. Let w be (-6)\/q + 17\/5. Suppose -s = w - 9. What is the smallest common multiple of 44 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 98. Let j = v + -88. Suppose -4*r + 4*t + 28 = 0, -4*r - j*t = -5*t - 23. Sort 22, r, -5.\nAnswer: -5, r, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 23*w = -25*o + 75, -20 = 4*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 - 8*l - 1. Let c(j) = -5*j**2 + 8*j. Let s(u) = -5*c(u) - 4*w(u). Suppose -17*y + 12*y + 41*y - 252 = 0. What is s(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 2*v + 2*v)*(-191987 + 191987 - 6224*v) in the form k + c*v + w*v**2 and give w.\nAnswer: 6224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 7816627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -w + 7, 24*w - 204 = -5*m + m - 192 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61112 by 2714.\nAnswer: 30556\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 26370*i - 26375. Give a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 + 669*b**2 - 360.\nAnswer: 669*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0 + 33. Let m(f) = -f**3 + 11*f**2 + f - 2. Is 3 a factor of m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2602.8 - 2603. Let w = -11 + 13. Let p be w\/5*10\/(-14). What is the third biggest value in a, 21, p, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 greater than -2.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -104.3. Let y = l - 4.4. What is y rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/16))**(-2\/9))**(13\/4) assuming s is positive.\nAnswer: s**(13\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3720 + 3060 = -12*x. Let h = -289 - x. What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -309, -352, -423, -528, -673, -864?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2159, 5 in ascending order.\nAnswer: 3, 5, 2159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 - 53*r**2 - 6*r - 65. Calculate v(-11).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + -0.07. What is the nearest to -0.2 in 1\/2, -1\/6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -461 + 463. Let u(a) be the third derivative of 3\/8*a**4 + 0*a + a**3 - 3\/40*a**6 - 1\/70*a**7 - 1\/20*a**5 + 0 - 2*a**r. Suppose u(y) = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 856 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.57 - 1.17. Which is the nearest to -2\/3? (a) r (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2. Let i(s) = 10*s - 1185. Calculate f(i(u)).\nAnswer: -200*u**2 + 47400*u - 2808450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 10*c - 337. Let u be c\/(5 + -1) - 5. Solve w - 5*i = -u, 4*i - i = -w + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 35*l - 72 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.19 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11759 (base 14) in base 4?\nAnswer: -22121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 0 - 2) + (-7 + 32 - 79).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 10*k + 11. Let l be j(-9). Let p = 4 - 2. Solve -p*a = l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5459*n**2 + 5455*n**2 + 105*n**3 - 10914*n**2.\nAnswer: 105*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*s*w**4 - 2*p**3*s*w - p**3*s + 2*p**2*s*w - 62*p*s*w**3 - 15*w wrt w?\nAnswer: 12*p**3*s*w**2 - 372*p*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-66)*(-822)\/1507?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 4. Let k be x(5). Suppose o + 4 = 7. Sort -3, k, o in ascending order.\nAnswer: -3, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v - 420 = 19*v + 16*v. Let x = -4 + 71. What is the closest to x in v, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 80*r + 49959 = 0. What is the highest common factor of r and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 3*x**2 - x + 7. Suppose 3*d + 5*i = 42 - 2, -5*i + 35 = 2*d. Let a be p(d). Let t = a + 243. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 9 = 5*v, -5*m + 3*v + 31 = 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 11*g - 11. Let j(h) = h**2 - 24*h + 101. Let a be j(5). Suppose -a*t - 53 = -5. What is n(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*a + 28, 3*a - 57 + 83 = -4*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 24 = 5*h. Suppose h*q = -16, 2*q + 2 + 2 = -z. Is z\/(-6) - 41\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.2, 0, 0.09, 2\/29?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a factor of 30567540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 103655354 divided by -22\nAnswer: -4711607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1. Let g(v) = 6*v + 3. Let h(f) = g(f) - 9*i(f). Let b(k) = 6*k + 5. Determine 12*b(w) - 5*h(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*s = 10, -9 = -166*a + 167*a + 3*s. Let i be 1*2*4\/8. Sort -24, a, i.\nAnswer: -24, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190615 + 200611 = 238*y for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (3 + -2) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47792424 and 111515656?\nAnswer: 334546968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.6. Which is the closest to 1\/8? (a) 1\/4 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let j(i) be the second derivative of i**6\/30 + i**4\/3 + 3*i**2\/2 + 2*i. Let z(b) = j(b) - 4*t(b). Differentiate z(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*n - 48960 - 9874. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + p - 2 + (0 - 1 + 0)*(7*p + 2*p - 4*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*d - 12 = 0, 2*d - 16 = 6*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130491*f**3 + 122601?\nAnswer: -391473*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 38337 + 52691. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d - 28*d - 5*d + 50*d + 8*d + 4*d.\nAnswer: 62*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8))**(-2\/31) assuming z is positive.\nAnswer: z**(-1\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/45930 and 85\/192906.\nAnswer: 964530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -0.05. Let l = -0.15 + -13.75. Let u = -13.7 - l. Which is the nearest to u? (a) i (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 28*k**2 - 32*k + 9. Determine b(-12).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:05 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-2.1\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 76. Let w = 0.1 + -0.3. Put g, 0.2, w in ascending order.\nAnswer: w, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 56 = 0, -25 = -4*w - 5*b - 91 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.982 - 48.618. What is the second smallest value in 7, q, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 21. Solve 2*l = -4*w + z*w - 9, -4*l = -3*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26.5 and 1384857858105.\nAnswer: 1384857858131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42142 (base 5) to base 16\nAnswer: aed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218756197, -218756198, -218756199?\nAnswer: -218756200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-5 - -2 - (17 - 21)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1833*i + 188818. Determine n(-103).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 28 + 1460*f + 531*f + 31)*(4 - f**2 - 4).\nAnswer: -f**5 - 1991*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - (-69)\/21. Let y(b) be the third derivative of -1\/24*b**4 - 1\/12*b**w - 1\/120*b**5 + 0*b + 0 - 2*b**2. Factor y(j).\nAnswer: -(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h - 12*h - 5*h**4)*((-141 - 100 - 44)*(h - 1 + 1) + (2 - 5 + 1)*(h - 2 + 2)).\nAnswer: 1435*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*w = -4*w + 54, w + 15 = z. What is the greatest common divisor of 132 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 8. Let q be s(7). Let f be (1 - 16\/q)*-3. Suppose -f*d + 20 = -d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-19330750897\nAnswer: -19330750896.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 21. Let z be k(-6). Let f = -34 - -34.8. Let n be 26\/(-22) - 4\/(-22). Which is the closest to n? (a) z (b) 5\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 103 (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -5*p**3\/3 + p**2 + p. Suppose 13 = 2*l + 31*v - 26*v, 0 = -4*v + 12. Let y be d(l). Solve -3*h + 0*h + y = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11125478 (base 9) to base 16\nAnswer: 52411d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**4 + l**3 + 3 + 4*l**2 + l**3 + 2*l - 9*l**4 - 7*l**2 to q*l**4 + i*l**3 + y*l + t*l**2 + n and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*t - 78*t**2 + 79*t - 37*t to the form p + c*t + j*t**2 and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15 - 3*y - 5 - 3*y + 1 + y**2. Let k be p(5). Suppose -7*h - 2 = -k*h. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009285 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386465\/(-134)*4\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 a when three letters picked without replacement from {a: 4, f: 3, c: 2, t: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - (-4370)\/(-3096). Let m = i + -2\/387. Let u = -13413.1 + 13413. Which is the closest to u? (a) 0.5 (b) m (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12805, 25463, 38117, 50761, 63389, 75995?\nAnswer: 88573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0 + 14*t**2 - 1\/300*t**6 + 1\/15*t**4 + 0*t + 0*t**3 + 1\/50*t**5. Factor w(p).\nAnswer: -2*p*(p - 4)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 132 - 299 + g.\nAnswer: 3*g - 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159 - 50. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20697404.7 rounded to the nearest one hundred thousand?\nAnswer: -20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 1\/4 (c) -167 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 + 4*z + 3. Let o = 69 + -73. Let j be q(o). Let a = j + -200. Is 27 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(252) - (sqrt(7) - sqrt(42)\/sqrt(216))).\nAnswer: -6 + 31*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.13105\nAnswer: -4.86895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 15269790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(189) + sqrt(42)\/sqrt(50))\/((sqrt(1296)*1)\/sqrt(3)) + 4.\nAnswer: -29*sqrt(7)\/60 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:10 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 8*n**2 + 4. Let z be a(-8). Suppose 68 = -z*u + 328. What is the remainder when u is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1459500 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 2, q: 3, x: 4}. Give prob of sequence lxpl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -127\/30463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 35*n**2 + 36*n - 73. Let r be y(34). Let a(o) = o**3 + 6*o**2 - 7*o - 16. What is the units digit of a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(2*19\/(-513)). Solve 5*y + 2*b = -l - 4, -4*b = 4*y + 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16891 and 23408.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 0.0153483\nAnswer: 0.001074381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1988\/25? (a) 2 (b) -1\/5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.86 and -4.\nAnswer: -7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/180*(-9)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/192 - 253\/576. Let r = -46 - -45. Which is the biggest value? (a) r (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -10 - (-2 + (-1 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111100101 - -10?\nAnswer: -100101111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27488, -54997, -82506, -110015?\n\"Answer: -27509*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1825*u**2 + 9124*u - 1. Determine x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 20. What is the closest to 2\/5 in -5, i, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -384137411*b + 435148779 wrt b.\nAnswer: -384137411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*o**3 + 161352*o - 5110*o**3 - 161352*o - 4159*o**3.\nAnswer: -9435*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 3}. Give prob of picking 1 t and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - 6. Let n = o + 20. Suppose n*s = 3*q + 4*s - 64, -2*q = -4*s - 16. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396036053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 34, 67, 82, 73?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6749*1243.\nAnswer: 8389007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6213800 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-13)\/351*-9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 723 - 689 - 3*h + 0*h**2 + 0*h + h**2 to o + v*h + g*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01873 take away 0.121302?\nAnswer: -0.102572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 8) in base 13?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26870 + -26869.99999974388. What is o rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 7945*l + 173329. Calculate n(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 4. Let a be b(4). Suppose 5*h = 5*w + 50, 2*h + 5*w + 15 = -a. Suppose -h*y + 3 = -2*g, -4*g - 4*y + 31 = -3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0*g + 20 = 2*g, 5*g - 74 = 1218*t - 1220*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeo. What is prob of picking 2 o and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 438 and 10366.\nAnswer: 31098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 183845024 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3 = -3*v, -5*q = v - 20 + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 72, -0.5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((20\/6)\/(20\/(-30)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4592 to two dps.\nAnswer: 3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5632 + -5630. Which is the fourth biggest value? (a) -109 (b) -3\/10 (c) -4 (d) h (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v + 26. Let g = 133 + -133. Determine b(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0*j**3 + 0 - 6*j**2 + 0*j - 1\/8*j**4. Let c(f) = f**2. Give r(c(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1913.00001346 - -1913. What is i rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182\/(-4) + (-2106)\/(-1404)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 4293886*y**3 - 4609402889997*y**2 + 82967933802164*y - 78358535206052 = 0 for y.\nAnswer: 1, 17, 2146934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7614 a factor of 153406872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 6*t - 16. Determine k(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6703 - 6703 + 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 1170060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246504184?\nAnswer: 2, 30813023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (55\/(-5) + 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 42, 3, 2 in decreasing order.\nAnswer: 52, 42, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 1. Let y(l) = 7*l**2 + l + 8. Let m(g) = -6*p(g) - y(g). What is m(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, 15, 0 in increasing order.\nAnswer: -5, -2, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-175)\/182*-94 - (1 - 0). Let p = 90 - d. Suppose -24\/13*y + 0 - 4\/13*y**4 + 10\/13*y**3 + p*y**2 = 0. Calculate y.\nAnswer: -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.92688957 and -0.01.\nAnswer: 26.91688957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46261488 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 0, -2*c + x = -2*x - 4. Suppose -2*n - 3 - 1 = -2*w, -14 = -w - 3*n. Find the third derivative of -t**w + 2*t**2 + 2*t**c - 3*t**2 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*w*z**2 - 13*l**2*w - 205*l**2*z**2 - 2*l*w**2*z**2 + 5*l*z + l - 2*w**2 wrt z?\nAnswer: 6*l**2*w - 410*l**2 - 4*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52816 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*d + 125. What is the highest common divisor of d and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 4 - 1 - -43. Solve -40 = -b - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 413\/5 - 83. Which is the third smallest value? (a) 0.2 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -7*r + 7839212 - 7839215, -r = -5*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1514, -2901, -4156, -5279, -6270, -7129?\n\"Answer: 66*i**2 - 1585*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 37 + 40. Solve d + 17 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - -4)*-4)\/((-7)\/(-70)). Let r = k - -4558\/57. Which is smaller: r or 0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 24\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 + -111. Suppose -218 = -2*h + 70. Suppose 192 = 2*x - h. What is the greatest common divisor of x and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/6)\/(-1)*(-45)\/(-15))\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177 + 313. Let s be ((-30596)\/34)\/(-1) - (-16)\/i. Round s to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*n + 80*n - 107*n.\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*u - 12, 5*u = -5*h + 28 + 12. What is the second derivative of -5*z**h + 3*z + 2*z**4 + 0*z**4 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/217 - 10\/31. What is the closest to -26 in b, -3\/2, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395734179265 + 21*a**3 + 395734179265.\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123164 and 7052?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(152)\/sqrt(4)*-5*6)\/(3*sqrt(288)).\nAnswer: -5*sqrt(19)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, e: 4, a: 2, w: 6}. What is prob of sequence wewa?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -107*n + 1087. Let k be g(10). Solve 4*s - k = -4*y - 5, 2*y - s = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l - 1140*l**4 + 12*l - 12*l**2 + 14*l**2 + 3*l to b*l**2 + k + g*l + f*l**4 + o*l**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j - 2*j**3 - 9*j + 18*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*q - 94*q - 415*q**2 + 32*q + 77 + 34*q wrt q?\nAnswer: -830*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9*j = -7388. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29701 (base 11) in base 13?\nAnswer: -16222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 993*n + 3981. What is z(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3081 - 61*p + 3081.\nAnswer: -61*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1374 - 1360.1. Which is smaller: -22 or b?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*i**2*r**4 + 891*i**2*r**2 - 9*i*r**2 + 94*r**3 wrt r?\nAnswer: 1920*i**2*r + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-1 + -13)) + 9 + -3. Find the second derivative of -10*j**3 - 10*j**3 + d*j**3 + 241*j - 69*j**5 - 93*j wrt j.\nAnswer: -1380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:30 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 11*k**3\/3 + 1200. Let n(a) = -4*a**2 + 3*a - 3. Let t(h) = h**2 - h + 1. Let p(g) = -n(g) - 3*t(g). Calculate x(p(r)).\nAnswer: 11*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4908558 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 - 16*h + 19. Let r be a(6). Let o(t) = 8*t**3 + 2*t**2 - 2*t. Let d be o(r). What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*x - 7*x + 4366, 4*x = -4*t + 3500. Let p = -452 + t. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tquututttttqtttttt. What is prob of sequence tuu?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24*(0 - (-4 + 3)). Suppose d = -4*d + 2*h + q, -5*h = -2*d + 18. Find the third derivative of 16*n**3 - 16*n**3 - 5*n**d - 3*n**2 wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37371346322\/19504095 - -1\/1500315. Let x = i + -1915. Which is the second biggest value? (a) x (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 71*t**5\/5 + 2*t**3\/3 + 7*t**2 + 51. Find the third derivative of d(l) wrt l.\nAnswer: 1704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-40)*(-10)\/(-2)*47. Suppose 138*f + 156 = o*f. What is the remainder when 100 is divided by f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.038 - 5.438. Put 0.4, l, -0.5 in ascending order.\nAnswer: -0.5, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (93 - -1) - (12 + -15). Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 207. Let p = c + 306. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/5)*i**8 assuming i is positive.\nAnswer: i**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = 3. Suppose 208 - 598 = -5*j - k*u, -327 = -4*j - u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2801020 and 5602040.\nAnswer: 5602040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -6*i. Is i\/6 - 203\/(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.69551 months in centuries?\nAnswer: 0.108912925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 4*c)*(-4*c**4 + 5*c**4 + 6*c**4 + (0 + 0 - 2*c**2)*(-c + c + c**2) + c**4 + 0*c**4 - 3*c**4 + 0*c**2 + 0*c**2 - c**4).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4706 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13*d - 89. Does 11 divide i(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 5.5. Let z = q - -0.5. Let j be (1*(8 + -2))\/((8526\/(-116))\/(-49)). What is the second smallest value in 0.1, z, -4, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020011 (base 3) to base 8\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -16\/5, 0.5, 1\/4, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + (sqrt(1275)*-3 - sqrt(1275)))\/sqrt(3))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.042 + -32.958. Let z = n - -31. Which is the nearest to -3\/5? (a) -4 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-587)\/(-3 + 21\/6)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-1))\/3 - 455. What is the common denominator of z\/40 - -2 - (-3)\/12 and 55\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16165604 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/3916 and 83\/3916?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -17, 0.\nAnswer: -17, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -628 - -635. Calculate the greatest common factor of 553 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(3\/12)*(-59)\/((-4720)\/(-8400))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 810653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppssvptfrpprfrf. Give prob of sequence fr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpr when four letters picked without replacement from rpwfrprfrlppfpplrr?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(80)\/sqrt(4))\/((-5*sqrt(4) + sqrt(4))*-1) + 1)**2.\nAnswer: -sqrt(5)\/2 + 21\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -121*z**3\/3 - 455*z - 345. What is the derivative of v(o) wrt o?\nAnswer: -242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17467.75 - -5359.55. What is i rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7230*n. Let j(o) = -1815*o. Calculate -6*a(t) + 26*j(t).\nAnswer: -3810*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q**3 + 24992*q**2 - 573616*q - 6198656 = 0.\nAnswer: -8, 158\/5, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**3\/3 + 5*p**2\/2 - 4*p - 24. Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q. Let v be f(1). Let r(j) = 3*j**3 + j**2 - j - 2. Let t be r(v). What is the tens digit of (9\/2 + -2)*t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = 0, t - 334 = -p + 684. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6087443?\nAnswer: 59, 103177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/16))\/w**(-1))**(-28) assuming w is positive.\nAnswer: w**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1490630.1us to minutes.\nAnswer: 0.024843835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 13 = -3*t, 65 = 3*b + 4*t + 42 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ba (base 14) in base 12?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 5441, 1.79, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 170 - 344 - 2050*p**2.\nAnswer: -2050*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (10 + -25) - (-1 + -2 + 4) - -19.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322417 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1276 - -1269. Let k = -0.06 + 0.11. Let x = k - -3.95. Which is the closest to 1? (a) -3 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqoqcqqbqcbtcc. Give prob of picking 4 c.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 24. Let c = 227\/3 - l. What is the third smallest value in c, -3\/4, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 5, g: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 + (-2)\/(-5). Let r = 134 + -196. Let f = -61.8 - r. Which is the nearest to -2? (a) j (b) f (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8430189 is divided by 87?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 + l**2 + (467 - 15*l**2 - 467)*(-5 + 2 - 1)*(-4 + 2 + 0).\nAnswer: -119*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-30) - (-32 + 1 - -11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:43 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 254824151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -406045*a*d - 65461277*a + 23*d with respect to d.\nAnswer: -406045*a + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125294 = -47*t - 32*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-7)\/49*77\/(-22)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + i = -3*i + 2, 0 = -y - 3*i + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.23732g in tonnes?\nAnswer: 0.00008523732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.322 + 5.322. What is the second biggest value in u, -3, -2\/3, 89?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (112754\/3 - (-45)\/135) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23841718937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7215.9 to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*v + 5. Let c = 19 + v. Let k(x) = x**3 - 7*x**2 + 8*x - 5. Determine k(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15336340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3, 1\/17, 183, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/10585?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 17) + (-32 - (-24 - 6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(112)*-2 + sqrt(7)).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8718 - 20360161.\nAnswer: -20360161.8718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.67 - 8.283. Let q = y + -0.427. Put 10\/9, -5, q, -1\/4 in increasing order.\nAnswer: -5, -1\/4, q, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*20\/28 + -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b + 3*n - 244 = 0, -b + 3*n + 268 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**2 - 76*d + 298. Give z(4).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -619 > -619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -37. Let m be (q\/(-15))\/((4\/30)\/1). Suppose 4*p + 215 = m*v, 4*p = -3*v + 118 - 21. What is the remainder when 191 is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.065 and -9.960492143.\nAnswer: -9.895492143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (12 + -14)) + -45?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.6703ng in tonnes?\nAnswer: 0.0000000000002236703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8932437, 17864847, 26797239, 35729607, 44661945, 53594247, 62526507?\nAnswer: 71458719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**2 - 7*x**2 + 34*x**2. Let m(j) = -2*j + j - j. Calculate m(i(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 100 = -5*p, j = 4*p + 32. What is the remainder when 476 is divided by j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22278791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34469+-426674204\nAnswer: -426708673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d - 1. Suppose 5*m + 2 = -13, -m - 11 = -2*r. Let x(a) = -1 + 4 - r*a**2 - 2 + 1 + a. What is v(h) + x(h)?\nAnswer: -3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1502024 (base 10) to base 3.\nAnswer: -2211022101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -691271.\nAnswer: 5\/691271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 4*l**2 - 5*l + 1. Let u = 97 + -102. Calculate m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 2*f - 45 - 165 + 22.\nAnswer: 2*f - 311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45335696299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 66906.\nAnswer: 1137402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -z - 2, 14*c + 5*z - 16 = 11*c. Sort c, 1, -1, 0, -15 in descending order.\nAnswer: c, 1, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 33, -3980275 in descending order.\nAnswer: 33, 1, -3980275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 1\/4 (b) 2\/19 (c) 12 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250100 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 187882210?\nAnswer: 187882210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -7, 8, 19, -9, 5 in decreasing order.\nAnswer: 19, 8, 5, 0.1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 143123.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w**3 + 25*w - 125. Let p = -79 + 104. Let a(g) = 4*g**3 - 6*g + 31. Let z(k) = p*a(k) + 6*l(k). What is the derivative of z(q) wrt q?\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7013, 13719, 20425?\n\"Answer: 6706*q + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 3362626.\nAnswer: -9\/3362626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:47 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-99))\/(-8)*(-2)\/(-2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -3470.822\nAnswer: 13883.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 145, 20, -4, -1 in ascending order.\nAnswer: -6, -4, -1, 2, 20, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in -2\/77, 3\/5, 0.008?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x**2 + 3*x + 19. Let h be m(-3). Solve -5*c = n - 2 + 21, 2*c - 2*n = -h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 9*b + 9*b**3 - 19*b**3 - 8 + 11*b**3. Let s be x(-4). Sort 5, 4, 2, s in increasing order.\nAnswer: s, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/24)\/((-3)\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3162*d**3*f**2 - d**3*f + 7*d**2*f**2 + d**2*f - 289*f**2 wrt d.\nAnswer: -18972*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 362376 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 11*v**2 - 12*v + 12. Let i be r(12). Let s = i - 9. Suppose -q + 56 = s*q. Solve 5 - q = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/56 + 10\/(-175)*-5. Does 35 divide (37 - a)*(-1 + 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27457)\/105 + (-8)\/(-20). Let n = 261 + x. What is the nearest to -2\/3 in n, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/9 + 4\/3. Let s(u) = -4*u. Let h(t) = 5*t - 1. Calculate m*s(f) + 3*h(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**8\/26880 - n**7\/5040 + 3*n**4\/4 + 24*n**2. Let c(k) be the second derivative of y(k). Find f, given that c(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 17*x**2 + 6*x + 26. Let l be v(17). Suppose 0 = 2*o - 2*p - l, -o - 9*p + 62 = -12*p. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = y. Suppose -2*s + 0*s - 4*u = y, 5*s = 2*u - 14. Let q = 37\/33 - 5\/11. Which is the third biggest value? (a) s (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -19. Let x = 108 + -106. Suppose -6*y + 3*y = 0. Solve -f - x*f + p = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366.3 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}