diff --git "a/data/dm_maths/full_data_1/10767_11255.jsonl" "b/data/dm_maths/full_data_1/10767_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10767_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 12, -28, -7, -22 in increasing order.\nAnswer: -28, -22, -7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.627 - 1158.627. Let k = -1157.0000537 - v. What is k rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/19)\/(q**(-23)*q)*(q\/(((q\/((q*q**(1\/9))\/q)*q)\/q)\/q*q))**(5\/11) assuming q is positive.\nAnswer: q**(41378\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39890624 to the nearest integer?\nAnswer: 6316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -89128 * -0.3\nAnswer: 26738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 676545072 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.6526568 rounded to 2 decimal places?\nAnswer: -177.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106276*d**2 - 2608*d - 16.\nAnswer: -4*(163*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -5, 5, -3 in decreasing order.\nAnswer: 5, 0, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40220 + -1?\nAnswer: -40221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -192, -212, -240, -276, -320?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24))\/(((-60)\/(-18))\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 5*p**4\/12 - p**3\/2 + 5*p**2. Differentiate l(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 3*w**8\/56 + w**5\/20 - 41*w**4\/6 + 190*w**2. What is the second derivative of r(t) wrt t?\nAnswer: 360*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 19*b**4 + 94*b**3 + 26*b**2 - 415*b + 275 = 0. What is b?\nAnswer: -11, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 49*m**2 - 3*m + 72. Let f be k(-51). What is the greatest common divisor of 67 and f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 3100044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from mmbqk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13153887 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (3 + 2 + -12 + 25)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9)*i)\/i)\/i**(3\/4)*i*i*i\/(i\/((i*i**(-3\/7)*i)\/i))*((i*i\/(i**(-1)\/i)*i*i)\/i)\/i assuming i is positive.\nAnswer: i**(1523\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 10*i**2 + 25*i - 15. Let k be y(-13). Find the second derivative of 23*w - k*w**3 - 25*w + 148 - 148 - 48*w wrt w.\nAnswer: -1002*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357.97 rounded to the nearest integer?\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:53 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11323 divided by 1?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -287 - -277130?\nAnswer: 276732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from pggpp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 21993000 to the nearest one hundred thousand.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37 and 1949.51?\nAnswer: 1986.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/44)\/(((-20)\/56)\/5)*-6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = 14 - 65. Let z = -4 - -4. Suppose z = -5*w - 2*x + 1, -u*x + 6 = -3. Which is smaller: w or -2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -126749 divided by -248?\nAnswer: 126749\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 168, 376, 658, 1008, 1420, 1888, 2406?\nAnswer: 2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -15257376012522?\nAnswer: 15257376012519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-7425)\/(-36))\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + 3 + (1*4*(sqrt(325) - (sqrt(325)*-2 + 3)))**2.\nAnswer: -1440*sqrt(13) + 46944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69.2 - -69.7. Let w = 875\/1989 - -1\/221. Let z = w + -5\/18. Which is the biggest value? (a) v (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55627 - 9309.02\nAnswer: -64936.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4172 = -2*x, -4*h = 5*x - 6820 - 3609. Suppose -5*w + 2*k + 2094 = -1400, 0 = 3*w - 5*k - x. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1980.\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13548795 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -4 - (-7)\/3. Let i = 1.52 - 1.12. Put -2\/11, i, -1, h in decreasing order.\nAnswer: h, i, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -5195309.\nAnswer: -5195309, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5\/3, -2\/1385, 0, -5, -175, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**3\/3 - 2*d**2 - 2*d + 6. Factor y(r).\nAnswer: -2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91997641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1. Suppose -17 + 21 = 2*z. Suppose 7 = -p - 5*w, 3*p - 80 = -2*p - z*w. Solve -h - p = o*q, -19 + 1 = 2*q + 4*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 - 6176*g**3 - 3118848*g**2 - 483253760*g + 16114316288 = 0.\nAnswer: -524, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1490 and 18?\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, -4, 2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2293820 rounded to the nearest ten thousand?\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1163\/9 - 129. Let t be 2 - (-2)\/((-16)\/18). Let n = -1 - -2. What is the second smallest value in n, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -5, -2 in decreasing order.\nAnswer: 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/30 + t**5\/5 + 5*t**4\/12 - t + 100. Find u such that s(u) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -2*z**2 - 48*z - 1196. Give j(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 138*i - 2493. Give f(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 121933, 122904, 123871, 124834, 125793, 126748, 127699?\n\"Answer: -2*n**2 + 977*n + 120958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyttytttytiyt. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 33*b - 16. Let j be l(-9). Let p(v) = -j*v**2 + 391*v**2 + 1 - 197*v**2. What is p(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 198819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*t - 106*t + 305*t - 105*t + 292*t**3.\nAnswer: 292*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554947789*t**3 - 20*t**2 - 277473893*t**3 - 277473897*t**3.\nAnswer: -t**3 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 35 = -4*a - 5*z, a + 9 = -3*z. Suppose 0*n - 4*n + 17 = -a*s, -3*s = 4*n + 1. What is the biggest value in -0.3, s, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 11*u - 6. Let t be w(-8). Calculate the highest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426586414.\nAnswer: 2, 419, 509053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -295799*v**3 + v**2 - 11*v - 11. Let k be d(-1). What is k rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24797561 to the power of 1\/2, to the nearest integer?\nAnswer: 4980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/15, 17 in decreasing order.\nAnswer: 17, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 73, 250, 591, 1150, 1981?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 8. Suppose 6 = y + h*y. Suppose -2*t - y*x + 8 = 0, t - 3*x = -0*t + 24. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 13*s**5\/20 + s**4\/12 - s**3\/6 + 57*s**2. Let r be x(1). What is the highest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1\/(-1) - (-20 + 22). Let a be 39\/3 - (i - -4). What is the derivative of 7*s**2 + 21 + 7*s**2 - 10*s**2 + a*s**2 wrt s?\nAnswer: 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 5*v + 60. Let u = v + 140\/3. Factor 0 + 4\/3*l + u*l**2.\nAnswer: 2*l*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 5*i**2 - 13*i + 77. Let f be a(8). Put -4, 5, f in decreasing order.\nAnswer: f, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*((-265370)\/102)\/(-223)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -193892, -387517, -581142, -774767?\n\"Answer: -193625*k - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3436 (base 9) to base 15.\nAnswer: -b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 30*j + 24. Let g(x) = -28*x - 29. Let i(k) = -6*g(k) - 5*p(k). Let t(f) = -1. Give i(b) + 54*t(b).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.37 (b) -0.4 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.5892397 to 2 decimal places.\nAnswer: -6.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -2\/11, -5, 2\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 3:05 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let c(d) = -12563*d. What is c(g(w))?\nAnswer: -12563*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*v + 1487 - 1487 + (0 + 0 - v)*(6 - 1 - 3 + (1 + 0 - 4)*(2 - 4 + 1)) in the form x + o*v and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -9 - -1) + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7 - 0. Suppose 0 = -620*w + 618*w + 6. Solve 0 = -w*o + u*o + 16, o - 2 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + 8 + (6 - 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32081, 31763, 30939, 29369, 26813, 23031, 17783?\n\"Answer: -40*j**3 - 13*j**2 + j + 32133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1044 - -11771?\nAnswer: 12815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106a4 + -3?\nAnswer: 106a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3744*-20\nAnswer: -74880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*l - 32, -64 + 44 = 3*i - 2*l. Put -4, 58, i, 5 in descending order.\nAnswer: 58, 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 20*(-6)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-4) + 18 + (-1035605)\/(-20))*11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -387171 != -387170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86536 = -57*l - 86593 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7020 = -2*p, -29*n + 34*n - 3*p - 17538 = 0. What are the prime factors of n?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 638929 in descending order.\nAnswer: 638929, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - i + 6, -12886*p - 21 = -12891*p - 2*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.007 + -39154528.\nAnswer: -39154531.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 1:08 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470408693969 minus 0.2?\nAnswer: 1470408693968.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -2*a - 0*a + 2*v, 0 = -2*a - 118*v + 113*v - 52 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 14. What is the closest to -1 in k, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/12*(((-105)\/(-9))\/(-1) - -11).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -73. Let m = h + 33.2. Let p(t) = -t + 2. Let z be p(3). Which is the nearest to m? (a) 2\/3 (b) z (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577 + -552. Factor h*x**2 + 54*x - 10*x**2 + 25*x**3 - 214*x + 60.\nAnswer: 5*(x - 2)*(x + 3)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -87 + 93. What is the remainder when 27 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37002384 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99371077 and -0.2304.\nAnswer: 99371076.7696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 12. Let c be k(-13). Sort -3, -4, 1, c in descending order.\nAnswer: 1, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 10 - 2. What is the greatest common divisor of p and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16601 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -24\/5*k**2 + 192\/5*k + 1\/5*k**3 - 8. Determine m, given that s(m) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81523 + 22373 = 27*j. What are the prime factors of j?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01471188 to 4 dps.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 4 - 12*q**2 + 0 + 1.\nAnswer: -8*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17367 - 187?\nAnswer: 171d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i - 9. Let a be f(-7). Suppose -4*n + 5*n - 124 = -4*p, -536 = -5*n + p. Let x = n - a. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 24115 = 24151 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*-2)\/(sqrt(7) + (sqrt(21)\/sqrt(3)*-3 - sqrt(7))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -58, -88, -118, -148?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2 + 6, 3*m = 4*h - 26. Let z(r) = -8*r - 7. What is the remainder when z(m) is divided by 352\/24 + (-4)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*w + 21 = 3*g + 25, -5*w = -5*g - w + 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-15)*3\/2. Calculate the lowest common multiple of -2 - 10\/(3 - t) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let s = -1.9 - -1.6. Which is the third smallest value? (a) f (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 15 = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3365266 is divided by 361.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 165*q + 818. Calculate z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -207, -694, -1647, -3222?\n\"Answer: -26*z**3 + z**2 + 2*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 13. Let v = -0.9 - t. Which is the second smallest value? (a) -2 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -16*d + 20. Suppose 0 = -d*n + 9*n - 1550. Suppose b = -2*b - h + n, -4*h = 4*b - 408. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*c = -34, 15*f - 14*c = 19*f - 11*c - 55 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190041, -380080, -570119, -760158, -950197?\nAnswer: -1140236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 2}. What is prob of sequence xqx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. Let l = 280.3 - 280. Put l, u, -1 in decreasing order.\nAnswer: l, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1645637434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3495 and 3495 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4 - 20*k**3 - 13*k**3 + 0*k**4 + 6*k**3 + 27*k**2 + 3*k**5 = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 7 = 0. Which is greater: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 + 4 + 27 + (-41 - -17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 + 3*n + 6. Let o be i(-4). Let c be (o\/325)\/(1\/5). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q. Let y(g) = 9*g - 1. Let r(c) = 11*o(c) + 6*y(c). Let i be r(-3). Let k(n) = 3*n + 2*n - 5 - 3*n. Let s(m) = -m + 1. Calculate i*s(h) - k(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 178845, 178836, 178827?\n\"Answer: -9*x + 178854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41468 and 44492.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, 46, -7, -5, 1, 0.\nAnswer: -201, -7, -5, 0, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*z = -7*z + 61, 3*z + 28 = 2*i. Suppose 2*d - i = -9. Suppose -s + 15 = 3*s - 3*x, -2*s + 5 = x. Solve -4*j + d + 24 = s*o, o = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -5, 269, 11, -2, 5 in increasing order.\nAnswer: -5, -2, 5, 11, 83, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/1100)\/((-3)\/4 - 10\/(-24))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*j - 180 = 2*j, -138 = -3*y - 3*j. Let u = 47 - y. Suppose 90 = -0*z + u*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 10*l - 9. Suppose -5*o - 11 = -y, 4*y - 38 = 6*y + 5*o. What is q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 12*d**2 - 11*d + 4. Suppose -79 = 6*m - 13. Let r be g(m). Solve r*x - 2*x + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from wwwwwrwwrww?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -7*r + 351. What is the least common multiple of 6 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4383*b**2 - 4*b + 6. Let t(q) = -4382*q**2 + 3*q - 5. What is -3*m(g) - 4*t(g)?\nAnswer: 4379*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*q + 8 - 6 + 5.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 3)\/(2*2\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1) + (14 + 7)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3372618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-12)\/(-1))*(-24)\/(-88).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.66 + 0.66. Let m = -11 + 17. What is the third smallest value in m, 5, -1\/6, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -102\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 1}. Give prob of sequence ndn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/45)\/l*l)\/l*l)\/l*l**(2\/5)\/l*(l**(-2\/9))**(-3\/2) assuming l is positive.\nAnswer: l**(-59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 107 in descending order.\nAnswer: 107, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -11.04. Let i = 71 + -41. Let x = -31 + i. Which is the biggest value? (a) 0.1 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44450541 (base 6) to base 16\nAnswer: -14829d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 3) to base 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -6)*8\/12. Let l be (-6)\/n*(-16)\/12. Solve -g - 13 = 4*u, u - g - 1 - l = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2386 (b) -1\/4 (c) 1 (d) 6 (e) -1\/2 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b. Suppose -42*d + 50*d = 0. Solve b*v + 2*v = d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 9*x**2 + 8*x + 7. Let j be d(10). Let u(t) = -9*t - 115. Let o be u(j). Solve 0 = o*s + 6*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from srsiqjjrqqjrrqqsrsrm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 2*i + 96 = 0, -5*a - 5*i + 137 = 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 3*p**3\/2 + p**2\/2 + 6*p. Let q(d) be the third derivative of d**4\/8 + 15*d**2. Calculate 7*q(a) - 2*y(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 222.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 71*k - 5745 = 4573 - 2548 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**19*u*(((u*u*u*((u\/u**(-2\/11)*u*u)\/u*u)\/u*u)\/u)\/u)\/u*u assuming u is positive.\nAnswer: u**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-1)\/(-2))\/(72\/16)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -238, -268, -326, -412, -526?\n\"Answer: -14*i**2 + 12*i - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 29*u**3 + u**2 - u + 1. Let t be y(1). Let n = t + -29. Suppose -4*c - n - 3 = 0. Put c, 4, 1 in increasing order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h. Let r be -2 - (-10)\/(1 - h). Suppose 3*z - r*z + 80 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80766 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1035 and -1\/1198737.\nAnswer: 5993685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8474931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9)*33\/2. Suppose s = 4*y - 9. Let z be (126\/(-24))\/((-3)\/8). Solve 0 = -y*f + 39 - z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -512050 - 10440?\nAnswer: -522520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -100*j + 442. What is r(5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 388?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39821 - -39816. Which is the second smallest value? (a) 0.1 (b) l (c) 2294 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -3) + -12 + -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 2. Suppose -6*q + 144 = -d*q. Calculate the greatest common divisor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**4 - 78*o**2 - 931 wrt o.\nAnswer: -16*o**3 - 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 6*n**2 + 6*n)*(6*n**3 + 3*n - 4*n**3 - n**3 + 4*n**2).\nAnswer: 6*n**5 + 24*n**4 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 58256.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/5 and 33\/466.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2. Let f(y) = 522*y - 4. What is f(a(j))?\nAnswer: -1566*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 79.58808t?\nAnswer: 79588080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 20*j**2 + 10*j + 26. Let s be x(-17). Let l = -347 + s. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 2*y. Let n(k) = -11*k**2 - 5*k. Let b(j) = 6*n(j) + 15*t(j). Let d(x) = 21*x. Calculate d(b(a)).\nAnswer: 189*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64663, 129324, 193985, 258646, 323307, 387968?\nAnswer: 452629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a502 (base 14) in base 15?\nAnswer: -14c0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4186521, 4186522, 4186523?\nAnswer: 4186524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8986803 divided by -237\nAnswer: -37919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s = 10. Suppose 0 = 4*i - 14 - s. Calculate the lowest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194? (a) 0.23 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41756413*g**2*i**3 + 926856*g**2*i + 3*g*i**2 wrt i.\nAnswer: -250538478*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 20 + 5*a - 8 + 4*a - a**2. Let q be -2 + (-22)\/(3 - 5). Is l(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u. Let d(c) be the second derivative of -1\/4*c**4 + 0*c**2 - 27*c + 0*c**3 + 0. Give p(d(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -6, 5, 32, 81?\n\"Answer: i**3 - i**2 - 3*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*f - 4*f + 3 = 0, 4*r - 3 = -f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/112*z**8 + 27*z**2 + 0*z + 0*z**6 + 0*z**3 - 1\/10*z**5 + 0 + 1\/8*z**4 + 1\/35*z**7. Suppose y(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 7 - 6 + 13.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 5*i + 5*i**2 + 5*i**3 - 5 - 4*i**3. Let p(o) = -6*o + 12*o**3 - 8*o**3 + 0*o**2 + 3*o**2 + 3*o**2 - 6. Calculate -6*f(k) + 5*p(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 1044 = 3*r - 3*a, 2*r - 684 = -a. Suppose -4*p - 4*v = 384, 3*p + p = 4*v - r. Let f = p + 163. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9356\/10539 - -4\/3513. Let h be (4\/6)\/((-2)\/(-9)). Factor -k*n + 2\/9*n**h + 0*n**2 + 0.\nAnswer: 2*n*(n - 2)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4751215*d**3 + 19048279*d**2?\nAnswer: 28507290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 7158 - 2*a**3 - 3*a**3 - 7096.\nAnswer: 4*a**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441770 by -88354.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 2*v - 983 = -34*x, 0 = x - 2*v - 325. Let m = x + -176. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) - (-8)\/3*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3199, 6383, 9565, 12745, 15923?\n\"Answer: -n**2 + 3187*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 17. Let r(a) = a - 8. Let u(w) = 3*q(w) + 7*r(w). Let c be u(7). Put 5, c, 4 in descending order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/3 + 167*z**2 - 22264*z + 995588\/3 = 0 for z.\nAnswer: 17, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 306e - -1c7?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wajiappipa. Give prob of sequence wjpw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.1 + 5.2. Let t = -166.59 - -154.613. Let x = w - t. Round x to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*6\/(-12)*(-3 - -9). Let x(g) = 3*g**2 + 25*g + 17. What are the prime factors of x(k)?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b - 90 - 239 = 0. What is the third derivative of 494*l**3 - 589*l**3 + 138*l**2 - b*l**2 wrt l?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84024403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 488861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 97*f**2 - 148*f - 31. Let r be b(50). What is the greatest common factor of r and 7475?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 15 = 5*q, 4*q = q + 4*m + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80a9 + 43?\nAnswer: -8066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and (-60)\/693 - 144\/(-792) - (-796)\/21?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 + 2*q + 2. Let m be a(-7). Let t = m + -21. Suppose t - 43 = -x. Solve 0*r + 13 = 5*n + 3*r, 3*n - x = 3*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006625 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*b + 196*b - 624*b + 200*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2518*z + 841*z + 841*z + 2383*z**3 + 836*z.\nAnswer: 2383*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 3627 (c) 36.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392980 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {d: 4, b: 2, f: 6, u: 1, o: 1, r: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.05, 0.09, -4\/7 in decreasing order.\nAnswer: 0.09, 0.05, -4\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**7\/1260 - u**6\/90 - u**5\/20 + u**4\/6 - u**2. Let m(q) be the second derivative of p(q). Solve m(r) = 0 for r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -12. Calculate the remainder when 105 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.81 + 11. Let s = 3231 - 3231.19085. Let r = p + s. Round r to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*i = -536*j + 532*j - 1523, -3*j - 146 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/sqrt(7) - sqrt(5) - (-5 + 2*sqrt(5))**2.\nAnswer: -45 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.71 + -27.71. What is the smallest value in s, -0.4, -0.01, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-14)*4)\/((-87)\/1827). Which is the nearest to 1\/2? (a) -1\/3 (b) -4 (c) 0.5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4, k: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - 1.6. What is the closest to z in -0.5, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 1\/24*s**4 + 0*s**3 - 1\/30*s**5 + 1\/120*s**6 - 2*s**2 + 0 + 0*s. Factor d(a).\nAnswer: a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(1 + 0 - 5)*(-4*q**4 + 3*q**4 - 8*q**4) to b*q + c*q**3 + t + z*q**2 + x*q**4 and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**8\/48 + 23*d**7\/210 - 9*d**6\/40 + 13*d**5\/60 - d**4\/12 + d**2. Solve f(b) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**3 + 2150*o**2 - 1218*o - 918.\nAnswer: -2*(o - 153)*(o - 1)*(7*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3501*n**4 - 2*n**3 - 3*n**2 - 6*n + 357 wrt n?\nAnswer: 84024*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 74. Let k be y(16). What is the highest common divisor of k and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60 - (-6)\/(-8)*4. Let s = a - 17. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 36*x**2 - 28. Let g = 3 + 0. Suppose 520 = 49*a - 852. Let s(j) = -2 - 4*j**2 + 1 + 4. Give a*s(v) + g*t(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/8)\/(114\/(-4408)*-29)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222.82 - -226. Let f = j - 3.17999839. What is f rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1020 - -1045. Solve -23*g - 6 = -z*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100363 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 6329920 divided by -59\nAnswer: -6329920\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(2\/5)))\/((b*((b\/(b\/(b\/b**11))*b)\/b)\/b)\/b)*b**7\/b*b**(-4) assuming b is positive.\nAnswer: b**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268 < 13003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*q + 34*q - 11*q)*(-3*q**2 + 4*q**2 + 0*q**2)*(-1 + 1 + q) as u*q**4 + b*q**2 + d*q + x + p*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 4, g: 2, k: 1, p: 2}. What is prob of sequence pps?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 10*i + 2)*(-2*i + 4*i - 3*i) as m*i + f*i**2 + t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o = 3*a + 74*o - 22, 0 = -3*a - o - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 1, -29.6, -3.\nAnswer: -29.6, -5, -3, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 797*a**2 - 10*a - 9. List the prime factors of p(-1).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*q - 6. Suppose -i = q*i + 3*n - 3, 4*i - 5*n - 22 = 0. Suppose z = -5*t + 106, -t - i*z = -8*z - 42. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220636 - 220706. Suppose 0 = -m - 82 + 11. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 702*t + 36690. Calculate s(-49).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10634 + 0.1.\nAnswer: -10633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 24*n + 3\/2*n**3 - 1\/16*n**4 + 2*n**2 + 0 - 1\/40*n**5. Factor f(x).\nAnswer: -3*(x - 2)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7380705 (base 9) in base 12?\nAnswer: -13a6072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v**2 + 4*v + 7. Let a be h(4). Differentiate -z**4 - 71 + 2*z**4 - 3*z**4 - a - 16*z**3 with respect to z.\nAnswer: -8*z**3 - 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -724350 divided by 65850?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30200971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -268578, -268614, -268650, -268686?\n\"Answer: -36*d - 268542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 4*c. Let g be s(4). Suppose 0 = 4*h + 4*p - 24, 0 = -4*h + p - 0 + 4. Suppose -h*f + 2 = -g. Solve -3*o = 4*l - f, 2*l - l - 6 = 5*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1018\/5 + -8439\/40. Find the common denominator of j and (-81)\/(-162) + 9\/(-16)*(-496)\/(-60).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-3)\/(-3))\/1. Suppose 0*w - w + 2*g = 7, g + l = 0. Let c = w - -12. Let x(n) = n**3 + 5*n**2 + n + 2. Determine x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 15. Let h(o) = o + 8. Let w(n) = -6*d(n) - 11*h(n). Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6085534557 to the nearest integer?\nAnswer: 78010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15*1)\/((-3)\/24*-8). Sort -2, d, 3 in descending order.\nAnswer: d, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 30 = -3*g, -2*g + 35 = 24*i - 19*i. Solve i*l - 7*b - 18 = -4*b, -l - 4*b - 1 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -16. Let g(t) = -t**2 + 16*t - 52. Let a be g(11). Let l = a + i. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -41*w + 123. Let h be b(3). Suppose 8*z + 5*z = h. Solve z*t - 4*m = 5*t + 5, 3 = -4*t - 3*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = q. Let x be (-1)\/((-4)\/180*3). Suppose -x + q = -w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 4. Calculate the remainder when 10\/4*(-36)\/(-15) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8*s**2 + 9*s + 6. Let c(g) = -g**3 + 5*g**2 - 3*g - 2. Let p be c(3). Let f be x(p). Let h = 189 + -187. Solve 3*l - f = -h*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534100.\nAnswer: 2, 5, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*q - 1648 = -8*q, -4*w - 4*q = -1328. Calculate the smallest common multiple of w and 510.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -4*(1 + sqrt(176)) - (sqrt(176) - (-4 + (sqrt(176) - 2*sqrt(176)))) - -6*2*sqrt(176)*6)**2.\nAnswer: -4288*sqrt(11) + 790128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**6\/120 + 3*q**5\/20 + 9*q**4\/8 - 2*q**3 + 5. Let o(u) be the third derivative of r(u). What is l in o(l) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h**2 + 802*h - 4*h**3 + 2*h**3 + 2 - 2406*h + 799*h + 804*h as j + m*h**2 + i*h**3 + f*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/b*b*(b*b\/b**(-1\/10)*b)\/b)**(-27\/2)\/(b**2*(b\/(b*(b*b**4*b)\/b))\/b)**(-1) assuming b is positive.\nAnswer: b**(-2807\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2948, -3784, -4688, -5666, -6724, -7868, -9104?\nAnswer: -10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 4. Let n(v) be the first derivative of -v**2\/2 + v + 1. Suppose -9 + 107 = 7*q. Let p be 7\/(7*2\/q). Give p*n(z) - 2*r(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3085281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39 + 81*x**3 + 138 - 40 - 55 + 274*x - 1943*x**3 wrt x.\nAnswer: -11172*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -77\/2130?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + p - 1009 = 0, 0*l = -2*l - 3*p + 682. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-30)*((-16)\/10 + 2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 7*k**3 - 72*k**2 + 66*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -401.7661509 to one decimal place.\nAnswer: -401.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)**(-4\/17)*(y**0*y*y)**(1\/17))\/((y**(-1))**22*y**(2\/7)*y**(-2\/7)) assuming y is positive.\nAnswer: y**(372\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d**4 + d**3 - d**2 + d + 1. Let s(l) = -120*l**4 + 10*l**3 - 84*l**2 + 156*l - 61. Let h(y) = -s(y) + 11*w(y). Factor h(z).\nAnswer: -(z - 8)*(z - 1)**2*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219547300.\nAnswer: 2, 5, 7, 313639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/8, -1135\/3, 5, -1, 36.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2678 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 179576, 1437024, 4850212, 11497010, 22455288, 38802916, 61617764?\n\"Answer: 179645*p**3 - 67*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.9 + -8.813. Let u = 0.0870041 - x. What is u rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*t - 6*t + 4*j, -t - 3*j - 3 = 0. Let k(x) = -4 + 4 + t*x. Let q(f) = -f. Calculate k(q(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100100010001010011 + 100?\nAnswer: -1101100100010001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*f + 2*k - 928, k = -2*f + 936. Suppose -53 + 29 = -12*z. Suppose -4*w = -d - d - 626, z*d + f = 3*w. List the prime factors of w.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057 is divided by 1446?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*o - 220*o + 108*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/373898 and 52\/3871.\nAnswer: 206765594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 859 + -610. Let x be (-345)\/20*((-224)\/6)\/4. Suppose -2*u - k = -i, 2*k = -2*u + x + 85. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3\/35 (b) 1 (c) 62\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:53 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 6981688?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -52. Let u be 1\/(-26)*(-3)\/p. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = -s + 2*f, 5*s = -3*f + 6. Solve -4*w + 2*u = u - 17, -s = -u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5853 to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139395, -138244, -137093, -135942?\nAnswer: -134791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78\/55, -0.03, -0.1?\nAnswer: -78\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + x - 1 + 3*x - 6*x + 4*x + (x + x - 4*x)*(1 - 4 + 1) + (1 + 4 - 3)*(4*x - x + 0*x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a day in hours?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + 31a1?\nAnswer: 316b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -46*w + 441. Is x(-52) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 40. Let m be j(9). Let d be (25 + m)\/(8\/12 + 0). What is the greatest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 270. Calculate the remainder when q is divided by (4 - 2)\/(2\/17).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(1\/6)*g*g*g)\/g*g\/(g*g**(6\/7)))\/((g*g\/g**1)\/g)**12*((g*g**9)\/g)\/(g**6*g)*(g**(7\/3)*g)\/(g*g**(-9)\/g) assuming g is positive.\nAnswer: g**(233\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287616 divided by -704.\nAnswer: -1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84*(-20 - -6)*2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 1, -1, 4 in descending order.\nAnswer: 7, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570 - ((-69)\/23 - 2\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.092 - 0.092. Which is the nearest to -0.2? (a) y (b) -4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164854 + 0*f**4 + 85*f**2 - 150*f + 60*f**3 + 164854 + 5*f**4.\nAnswer: 5*f*(f - 1)*(f + 3)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 372420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9*w = -26. Which is greater: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 76*x**2. Let o(z) be the third derivative of z**5\/30 - z**2 - 7*z. Determine o(b(i)).\nAnswer: 11552*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 217\/186*(0 + 2\/(-14)). What is the third smallest value in x, -6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00411444538 rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*i + 423 - 123, 5*i - 2*v = 472. Let b = i + -92. Solve -c = 5*s - 19, c = s + 5 - b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -548332, -548381, -548470, -548605, -548792, -549037?\n\"Answer: -z**3 - 14*z**2 - 548317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmkkkmkmmkm. What is prob of picking 4 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 597\/5*s + 1\/5*s**2 - 598\/5 = 0.\nAnswer: -598, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/113352856 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*j - 85*j - 20*j - 28*j - 20*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*m - 4*y, m + 13 = 2*m + 5*y. Solve -m = -5*j + 2, 7 = -4*t - 3*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4833 - -5146. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 - (1 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -112\/3?\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 644715\nAnswer: -1\/128943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 80*n - 21. Let m(c) = 2*c. Give a(m(p)).\nAnswer: 160*p - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -2, 1 in increasing order.\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11994 divided by -3998?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2\/1141, -4, -2\/9?\nAnswer: 2\/1141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-26) + 3696\/143 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 3008 + 27*j - 24*j + 14301.\nAnswer: 3*j + 11418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 123.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**2 + 1\/5*p**5 - 14*p + 0 + 5\/12*p**4 + 1\/3*p**3 + 1\/30*p**6. Factor z(q).\nAnswer: q*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 365?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285719217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4857*r**2 - 6 + 4 - 4626*r**2 to x + f*r**2 + g*r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 345 - -4447?\nAnswer: 4792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, -2 + 8 = -4*y - 2*h. Let r be -49 + (-1)\/1 + y\/(-2). Let n = 56 + r. Solve 0 = n*v - v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = 1. Let l(g) = 2*g**3 + 30*g**2 - 30*g + 35. Let u be l(-16). Solve -7 = -u*z - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*s - 3*h, 5*s - 23*h + 20*h = -19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2*z + 1, -2*z + 19 - 3 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -2, -37, -86, -149, -226?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -16*i**2 - 279*i + 502. Calculate c(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -804904894 divided by -62?\nAnswer: 12982337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150 + -78. What is the common denominator of 294\/v - (0 - 3) and (-524)\/160 - 4\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbuyyyubyb. Give prob of sequence ubub.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 248, 247, 246, 245, 244, 243?\n\"Answer: -g + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -687 divided by -229\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, c: 1, v: 2, a: 2, j: 5, l: 5}. Give prob of picking 1 a and 1 v.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n + 1. Let o(a) = -4*a**3 - a**2 + 6*a + 6. Let g(p) = -3*m(p) + o(p). Suppose 3*x = -13 + 4. What is g(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1157 * 1.17.\nAnswer: 1353.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 i when three letters picked without replacement from hhimlhhhmihahf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = -38*j - 56*j + 125 + 95. What is g in -5000\/11 - 2\/11*g**j + 200\/11*g = 0?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8950565827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 33*l + 179. Let t be q(-5). Suppose 2*n + 6 = 4*n. Solve n*z = v + 3*v + 6, 0 = z + 4*v + t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 22. Let j(i) = i - 11. Let z(n) = -5*j(n) + 2*o(n). Let g be z(8). Suppose -g*t + 66 = -0*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1183 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(605) + sqrt(605) - (sqrt(605) + 0 + 1 + sqrt(605)))**2*4.\nAnswer: 528*sqrt(5) + 9716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.4215 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - w - 23 = -4*l, 5*l = 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 29*p**2 - 3420*p - 103505. Give k(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -0.36. Let t = -22.2 + 21.9. What is the third biggest value in y, 3\/7, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1615101 and -70756849?\nAnswer: 70756849.1615101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7746*k**2 + 0*k + 0*k + 7770*k**2.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdcaadadzddb. What is prob of sequence dgb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 220, 228, 238, 250?\n\"Answer: p**2 + 5*p + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:12 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, y: 4, i: 1}. Give prob of picking 1 b, 2 y, and 1 i.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1567739740 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7, n: 1, i: 3, a: 4, z: 1}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -26*x**2 + 15*x**2 + 6*x**2 + 0 + 0. Let w(k) = -k**2 + k - 1. Let m(h) = -f(h) + 6*w(h). Give m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 1.2879.\nAnswer: 1.4879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*m - 3019 = -15478 + 4588 - 11175 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 45. Let p(q) = -q**3 - 6*q**2 - 7*q + 20. Let n = -132 + 126. Calculate the remainder when p(n) is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405365 and 197695.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 700. Let r be v(0). What is the highest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1033*g + 1040*g + 2 - 2 - 8*g as h + a*g and give a.\nAnswer: 2065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Suppose c + 3*x - 17 = 8*x, q = 2*c - 4*x - 22. Calculate the remainder when 13 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 16000.\nAnswer: 3\/16000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404*h**2 - h + 35?\nAnswer: 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*-3)\/sqrt(9))\/((sqrt(121)*-2)\/sqrt(11)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + 2 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 18*a**2 + 754*a - 154340. What is i(74)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + 6 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 6*l**2 + 1. Let g be k(-6). Let j(z) = -1 - 1 + g - 4*z + z. Give j(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Solve 2*l - 3*l + 1 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*h**2 - 65381*b**4*h + 2*b**3 + 14*b**2*h**2 - 430*b**2*h - 123*b*h**2 wrt b?\nAnswer: -24*b*h**2 - 1569144*b*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q - 22. Let y be j(3). Solve 3*k + k = 3*n - 20, -k = y*n + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3819292 - 0.067201511.\nAnswer: 3819291.932798489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219745271*h**4 + 9301*h - 5671 wrt h.\nAnswer: -2636943252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(4\/3)))**(-2\/59)*(b*b\/(b*b\/(b\/(b*(b\/(b*b\/(b\/((b**(11\/5)\/b)\/b))*b))\/b))))\/(b**(-10)\/b) assuming b is positive.\nAnswer: b**(11722\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/20)\/((-9)\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8011863 by -2.\nAnswer: 8011863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 76. Suppose y - 6 - u = 0. Suppose 5*r - y = 40. Calculate the greatest common factor of 160 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o - 80. Suppose 2*w + o = 58. Is 4 a factor of 1*w\/3*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106\/(-477))\/(4\/3)*-54.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*l**2 + 27*g**2 - 2*g*l**2 - 181*l**2 wrt g?\nAnswer: 2*l**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164753? (a) 2.1 (b) -1\/11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 759 = -2*n - n, 4*g = 4*n + 1012. Let x be 1 + (-4 - 0 - n). Suppose 280 = 4*i - 4*r, -4*i + i = 5*r - x. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 12 + 37. Suppose 27 = -2*o - m*v, 5*o = -0*o + 4*v - 18. Let c = o + 9. Solve c*u - 3*t - 27 = 0, 5 = 5*u + 3*t + 2*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29821 is divided by 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 7*j**2 + 2*j - 10*j + 8*j**3. Let m = -37 - 70. Let k = 121 + m. Let w(o) = -o**3 + o**2 + o. Give k*w(b) + 2*h(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 5, s: 1, i: 1}. Give prob of sequence ib.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/((-30)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o + 5. Let d be (-10)\/o*2\/1. Let n = 0 + 1. Put n, -2, d in decreasing order.\nAnswer: n, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093205700.\nAnswer: 2, 3, 5, 31, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/16334 and -49\/3.\nAnswer: 49002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -1\/4*s**4 + 0*s**2 + 2*s**3 + 7*s + 3. Give f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334042233 (base 5) to base 16.\nAnswer: 167450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859360?\nAnswer: 2, 5, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.05, 5, -4\/9, -1\/7, -6, 4\/7 in descending order.\nAnswer: 5, 4\/7, -1\/7, -4\/9, -6, -7.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*j + 53. Let r(d) = -11*d - 30. Let l be -9 + (-10 - -1)\/(-3). Let c be r(l). What is the greatest common factor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**4 - 44*w**3 - 381*w**2 + 7. Let g(l) = -l**4 - 22*l**3 - 190*l**2 + 4. Let o(y) = -7*g(y) + 4*j(y). What is the third derivative of o(v) wrt v?\nAnswer: 72*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:24 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2323193 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 139 - 8*f - 148 + 434 - 147.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202 (base 4) in base 9?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 - 6*j**2 - j + 7. Let n(t) = t**3 - t - 1. Let s(g) = m(g) + 5*n(g). Suppose -3*v - 2*v = 25. Give s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 397 + -80. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294255?\nAnswer: 3, 5, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36988004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13494, 13486, 13468, 13434, 13378, 13294, 13176, 13018?\nAnswer: 12814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let r(u) = 6*u**2 - 5*u - 1. Let n(k) = -2*k**3 - 14*k**2 + 4*k + 97. Let d be n(-6). Give d*r(q) - 4*i(q).\nAnswer: 6*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 165 and 11284\/69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2699*f - 2861*f + 4050 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, s: 3, n: 3}. Give prob of sequence ene.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/124974 and 59\/222176.\nAnswer: 1999584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o + 5 + 7 + 15*o + 10. What is v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhhb when four letters picked without replacement from {h: 4, j: 2, o: 3, b: 9, t: 1}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of (-39)\/26 + (-6 - 75649\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4522326 + 181?\nAnswer: 4522517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let h(b) = 3*b. Let p(k) = -h(k) + 5*n(k). Let d(t) = -63*t + 38*t + 25*t - 3*t**2. What is d(p(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) + (-220)\/(-33). Suppose 24 = 6*o + f. Solve 4*l - o = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:14 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -33, -50, -67?\n\"Answer: -17*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -43. Calculate the greatest common divisor of 28 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45285 is divided by 7034?\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1221 + -828. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248487 - 248477 - 248498 + 745462 - 23*n.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - s + 115 = 0, a - s - 317 = -2*a. Solve 3*n = 87 - a for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 - 12*c**2 + 49*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*4)\/sqrt(5))**2 + sqrt(22)\/(sqrt(110)\/sqrt(10)).\nAnswer: sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 + 4*j + 174*j - 173*j - 4*j - 695 + 349.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1579, -3144, -4697, -6238?\n\"Answer: 6*i**2 - 1583*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/10 + (-1)\/(-2) - 647\/(-3235). Which is the biggest value? (a) 0.1 (b) -0.03 (c) 4 (d) -1\/12 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 27 = 16 + 807 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 37 = -45 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(3\/7))\/h))**16)**(-47) assuming h is positive.\nAnswer: h**(-7520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) 1\/2 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + m - 4 + (2 - 2 - 2*m)*(4 + 4 - 1) + m + 5 - 5.\nAnswer: -12*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398*s = -1397*s - 1503. List the prime factors of s.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) 0.3 (b) 4 (c) 22 (d) 12.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2037, -4, 0 in descending order.\nAnswer: 2037, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005061 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1343085 and 12595.\nAnswer: 14773935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -3*g**3\/2 - 180*g. Let w(u) = -3*u**2. Determine w(s(k)).\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21626 - 30586 = 4939*b - 7838 + 14894 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581393263 to the power of 1\/3, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 - 36*u**4 - 99*u**3 - 6*u**2 + 144*u = 0.\nAnswer: -8, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 24817644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5277581 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31092837?\nAnswer: 3, 179, 57901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40609 - -1543053\/38. Calculate the common denominator of 15\/4 and a.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*u - u. Suppose v = -u*h + 5*h, 0 = 2*v. Suppose h = 9*c - 6*c - 261. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*l + 9 = -5*f, 8 = -2*f + 5*l. Solve -3 = -4*k + f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-110)\/11))\/(4\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 154*l**2 + 2*l - 1. Let i be g(1). Suppose 6*q - i = 307. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111194341 to the power of 1\/2, to the nearest integer?\nAnswer: 10545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -5046948.5?\nAnswer: -5046938.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -8 - (2 + -6)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.243 and -21.037.\nAnswer: 89.259991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -218*y**2 + 7198*y - 132 = 0. What is y?\nAnswer: 2\/109, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2975850.\nAnswer: 2, 3, 5, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-15) - -22 - (2 + -2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3829 + -36.51\nAnswer: 3792.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 542, 5 in decreasing order.\nAnswer: 542, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 20*t + 4. Let a be u(-20). Let c be (1\/3*a)\/(12\/18). Solve 3*i**5 + 24*i**4 - i**3 - 10*i**2 - 14*i**4 + c*i**5 - 4*i**3 = 0 for i.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.91396 months in millennia?\nAnswer: 0.01699283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 35*o + 179. Determine p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3402 = -166*b - 23*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, u: 1, r: 8}. Give prob of picking 1 y and 1 u.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/12 - 11*g**5\/30 - g**4\/4 - 51*g**3\/2 + 4541*g**2. Find the second derivative of h(u) wrt u.\nAnswer: 60*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12040 is divided by 598?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 1. Suppose 0 = 2*m + j + 16, m - 12 + 2 = 4*j. Let n be (-6)\/(-12) - m\/4. Let a(u) = 3*u - 2. What is n*i(c) - a(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 26 + 2. Let m be (4\/10)\/((-2)\/(-10)). Factor k + 9*w + 63*w**2 + 47*w + 35*w**m.\nAnswer: 2*(7*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 64 and 720\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 3. Let z be p(-4). Let s(x) = -x**2 - 29*x + 1268. Let b be s(24). Put 3, b, -12, z in ascending order.\nAnswer: -12, b, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y + 2. Let k(x) = -17*x - 6. Suppose -2*w - 9 = 11. Let n = w + 14. Determine n*k(r) + 11*j(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36\/77*(-1)\/15*11880\/(-216)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 724 and 2534?\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*o - 120 = 895*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2703.935ng to milligrams.\nAnswer: 0.002703935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*(-2 - -2). Solve -2*c + 5*c - 6 = a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -221*t - 728. Let m be r(4). Is -1613 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - z - 41, 5*x + 24*z - 23 + 118 = 21 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:54 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from shouqqq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 8442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/541984 and 99\/10528.\nAnswer: 178312736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(6)\/(sqrt(6)\/sqrt(2)).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r - 27*r - 29*r)*(-r - 2*r**2 + r).\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**5 - 210*a**3*k - 26*a**2*k - 2*a**2 - a wrt a?\nAnswer: -180*a**2 - 1260*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(405))\/((sqrt(576) + sqrt(576)*-2)*-3).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 13*x - 56. Suppose 0 = 4*n + 4*w - 16, 10*w - x*w + 2 = 0. Suppose n*d = v + 566, -2*d + 3*v - 4*v = -232. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 186*v - 185*v + 6, -5*v = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -339755161*r**2 - 396594249 wrt r?\nAnswer: -679510322*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16128 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)*o**(3\/11)\/o)\/(o**(-3)*o*o**7) assuming o is positive.\nAnswer: o**(-389\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.5 (c) 5\/4 (d) 2\/9 (e) 1427\/5 (f) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378780?\nAnswer: 2, 5, 13, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-120)\/(-21) - (-6)\/21. Suppose 0 = v + 3*b - l - 6, -2*b = -8. What is the units digit of 27*(4 + -1 - v) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 + 2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -326266 greater than -326265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 2*sqrt(75))**2 - (sqrt(528)*2)\/(-1*sqrt(11)*-3).\nAnswer: 292*sqrt(3)\/3 + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9854812 divided by -4.\nAnswer: -2463703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-15))\/(2\/185). Let n be 2 + 24\/(-2 - -1). Let l = d - n. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a**3*g**2*w - 121*a**3*g*w - 34*a**3*g + a + 101*g**2*w - 4*g + w wrt g.\nAnswer: 20*a**3*w + 202*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42386562*d**3 + 29505780*d**2 wrt d?\nAnswer: 254319372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 891 and 108591?\nAnswer: 32251527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22874, 23220, 23566?\n\"Answer: 346*f + 22528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d (base 15) to base 3.\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 1 - 1)*(-3*s**2 + s**2 + 3*s**2) + (-551*s + 294*s + 223 + 259*s)*(2*s**2 - 4 + 4) as h*s**2 + m + v*s**3 + z*s and give h.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*l + 195 = 0, -5*a + 0*a - l = 325. Let c = 68 + a. What is the greatest common factor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - g + 1. Let f(o) = 4*o**2 - 4*o. Calculate -2*d(c) - 2*f(c).\nAnswer: -4*c**2 + 10*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1938 + -1963 - (0 - 19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*o - 58272. Suppose 0 = v + 3537 - o. Suppose 26708 = -6*y - v. What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5 - 153*p**4 + 2781*p**3 - 21531*p**2 + 66528*p - 47628 = 0. What is p?\nAnswer: 1, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 47. Let q be x(-17). Let t = 4 - 3. Put 2, t, q in increasing order.\nAnswer: q, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 + 4.7. Let o = 1.6 - w. What is the second smallest value in 7, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/55*(-64)\/(-32).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 6. Let j = r - 7. Sort -5, j, -4 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-50) + -1 + 52\/30. Let o be (48\/(-40))\/(1\/5). Let k be (-18)\/(-66)*4\/o. What is the closest to j in 3\/2, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3*(-5)\/(-30))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45600 and 746400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from bfzfsfbbfsfbfffzs.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 3a54?\nAnswer: -3a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 61, 75, 71, 43, -15, -109?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1060583 - 347683. Round j to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y + 2. Suppose -3*c - 4 = 14. Let l be (-16)\/c - (-2)\/y. Let t(a) = a**2 - 3*a - 4. Give t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0135688*-1\nAnswer: 0.0135688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22971 is divided by 8982?\nAnswer: 5007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 20613873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - k - 1006 = -2*s, 5*s + 3*k = 2526. Let v = 1137 - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7105*s - 5575*s + 359742 + 35665 + 771153 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 528263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(-25)))\/i)\/i)\/(i\/((i**24\/i)\/i))*(i**(3\/5))**(-37))**(2\/45) assuming i is positive.\nAnswer: i**(218\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 6*a**2 + 4*a**2 - 10*a**3 + 2 - 2 + 3*a**3 + (a**2 + 2*a**2 - 2*a**2)*(-2*a + 4 - 4).\nAnswer: -5*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -424*s**2. Let n(r) = 34*r + 15550. Determine n(k(j)).\nAnswer: -14416*j**2 + 15550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgitttwin. What is prob of picking 1 n and 1 i?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5151879?\nAnswer: 3, 29, 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22375\/5126 + 138\/233. Find the common denominator of -41\/174 and f.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18865.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 548 + -538. Solve r*p - 30 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuexuzzzeuu. Give prob of sequence uuxu.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338 - 6749 + 776*r - 4*r**2 - 10811 - 7065 - 13349.\nAnswer: -4*(r - 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 88 = 5*a - 27, -a = -5*i. Suppose -8*l = -a - 7. Suppose 19*v = v + 198. Solve -v - 1 = -l*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:49 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(1 + 21 - (-111333)\/(-5032)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3982 + (-54 + 64)*3\/5 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let l(w) = 8*w - 13. Let o(d) = -158*d + 260. Let r(x) = 20*l(x) + o(x). Calculate r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -9730?\nAnswer: 9735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 17 = -3*w, 7*w - 4*w - 4*n = -8. Suppose 5*v - 28 = -2*x - 2, -25 = -3*x - w*v. Solve 0 = -5*z - 4*o, 0 = -4*z - x*o + 5 - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l**(-1\/8)\/l)\/l)*l)\/(l*l*l**(5\/7))*(l*((l*l\/(l**(-1\/41)\/l*l))\/l)\/l)\/(l**29*l) assuming l is positive.\nAnswer: l**(-60993\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 41. Calculate q(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 48 = -2*s. Let d = -39 - s. Suppose -66 - 334 = -5*g. Calculate the remainder when g is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, -129, -285, -503, -783, -1125, -1529?\n\"Answer: -31*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a (base 11) to base 9.\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130603408 to the power of 1\/2, to the nearest integer?\nAnswer: 11428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 181979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4138160773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*j - 5. Suppose -j*c = -50 - 115. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*y + 3649 + 47 = 29*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 + 10*q - 11. Let n be t(9). Let x be 14\/3 - n\/(-3). Suppose -d + 4*r = x*d - 149, 3 = -3*r. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*j + 4. Let x = j - -5. Calculate the smallest common multiple of x and 7 - 1\/((-10)\/40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (-2 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4 + 122*v**3 - 3176*v**2 - 34970*v + 38025 = 0.\nAnswer: -9, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237650 - 237650 + 37*t**3.\nAnswer: 37*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 5244*a**3 + 10461*a**2 - 26208*a - 31428 = 0. Calculate a.\nAnswer: -1746, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386790729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*f = -5, -8*f + 7*f = 3*x - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:00 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 - 2*y**3 + (-13*y**2 - 5*y**2 + 6*y**2)*(93 + 49 - 184)*(-2 + 3 - 3)*(-4 + 2*y + 4).\nAnswer: -2017*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 5798689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + 3*f**5 - 2*f**5 + (6*f**2 + 12*f**2 - 8*f**2)*(-124*f**3 + 262*f**3 - 100*f**3).\nAnswer: 384*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 - -6 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 43 = 1. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -9 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 20782*f + 8 = 20780*f, -2*f = -5*p - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21405020 and 104?\nAnswer: 42810040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0 + 14\/3*n - 2\/3*n**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8071 + 8070.9918. What is the second biggest value in 1, l, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -25533\/5 = -5107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 + w - 29 + 47.\nAnswer: w + 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046973745 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 8045?\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Sort -5, -0.2, z in ascending order.\nAnswer: -5, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -66?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 64, -5, -186, -515, -1028, -1761?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 1304*h**2 + 170720*h - 703872.\nAnswer: 2*(h - 4)*(h + 188)*(h + 468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7776 and 31968.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 5524660*n\/3 + 7630467028900\/3.\nAnswer: (n - 2762330)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 8) in base 16?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -99, 5, -3.\nAnswer: -99, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 4*q**3 + q**3 + (0*q**2 + q**2 - 3*q**2)*(3*q + 0*q + q) + 0*q**3 + 0*q**3 + 3*q**3 as z + x*q**3 + y*q + g*q**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 20 + 0*w**2 + 20.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11)*2)*6.\nAnswer: -18 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n**2 + 34*n + 22*n + 3*n**3 - 78*n + 12. Let o be h(20). Factor -95*y**3 - 2178*y**2 - 3*y**4 - o*y - 37*y**3 + 26424 - 70347.\nAnswer: -3*(y + 11)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-28629)\/2)\/(96\/(-64))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-2)\/1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*b - 4*k, 0*b + b = -5*k + 15. Let j be 1\/(-4) - 45\/(-20). Put -5, j, b in decreasing order.\nAnswer: b, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:33 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/12 - (0 - 1989\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -236, -543, -964, -1493, -2124, -2851, -3668?\nAnswer: -4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3550\/(-380) - (-1)\/(-2) - -10.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 23630 - 75792 - 97741.\nAnswer: -r - 149903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/33 and 101\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12852903 equal to 12852911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (-2 - -4 - -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -180593.47 rounded to the nearest 1000?\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10569*h - 1247131. Give v(-118).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163335772 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424411308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -633, -1329, -2303, -3555, -5085, -6893?\nAnswer: -8979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*b**2*y**3 - 7*b**2*y + 1226359*b*y**5 - 3*b*y**2 + 1366353*y**2 wrt y.\nAnswer: -396*b**2 + 73581540*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w**2 + w + 2. Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 5*c**4\/6 + 7*c**2\/2 - 10*c. Differentiate r(s) with respect to s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1353 plus 52183606?\nAnswer: 52183608.1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**2 + 3*d**4 + 3 - 2*d**5 + 6*d**3 - 2*d**5 + d**5 - 3*d.\nAnswer: -3*(d - 1)**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 77. Sort -2, -3, 1, z in increasing order.\nAnswer: -3, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, 1 r, and 1 t when four letters picked without replacement from ymqrmtmmrlytryq?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 11. Suppose -5*x + 14 = 4*l - 7*l, -2*l - 2*x - 36 = 0. Let i = l + h. Solve a = -i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 102\/(-39)) + 2. Let l = -1706\/195 + 44\/5. Let u = l + c. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-964)\/360 - -3). Let f = -3\/10 - s. Sort 5, 1, f in increasing order.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (126\/30)\/(9\/(-6)). Is -0.2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 347 - 347.2. Suppose 18 = -4*f + 2. Which is the second smallest value? (a) j (b) -8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9009, -9421, -9835, -10251?\nAnswer: -10669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 5*u)*(-48 - 47 + 27).\nAnswer: -272*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 o when three letters picked without replacement from {o: 1, b: 6, z: 3, l: 2, j: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-1)\/5)*7*(-24)\/(-4200)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w - 4\/5*w**3 + 0 - 24\/5*w**2 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 27*o + 27*o. Let g(b) = 8*b. Calculate n(g(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.9. Let i = -3.1 + 0.1. Let v = -7 - i. Is q != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d2 (base 14) to base 3.\nAnswer: -20102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424 - 423. Which is the second biggest value? (a) 7\/4 (b) 5 (c) -0.4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(sqrt(2)*-1) - sqrt(260)\/sqrt(360))\/((sqrt(864) + (sqrt(864) - sqrt(864)*1) + sqrt(864))\/(sqrt(6)\/sqrt(2)*-6)))**2.\nAnswer: 637\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 673 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (396\/8694)\/(-22)*50 and -1\/77?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*y + 195 - 195.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 31 = 3*w, 2*r - 47 = -5*w + r. Let o(t) = -t**3 + 10*t**2 - 10*t + 4. Let l be o(w). Let h be 16\/(-20) + (-19)\/l. Solve -7 - 2 = -h*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116896.\nAnswer: 2, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2156570, -2156572, -2156574, -2156576, -2156578, -2156580?\nAnswer: -2156582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqo. Give prob of picking 1 o and 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*m + 1821*m = 80*m + 65344 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14651452*b**2 - b + 11*b**4 + 33 + 14651444*b**2 - b**4 to the form m*b**4 + h*b + n + d*b**3 + o*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2020?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -4\/7, -2\/13, -8\/107, 0.374?\nAnswer: 0.374","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n + 1077 = 399*n. Solve -29*o + 3*w - 6 = -25*o, n*w = -5*o - 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1306, 5, -1447.\nAnswer: -1447, 1\/1306, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13064.\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.262614812 to one decimal place.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 42*j - 149. Let h be z(-38). Suppose 0 = b - 4, 5 = i - h*b - 20. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 = 3348*w - 3248*w - 3691 - 855 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 - 4*f**2 + 2*f**2)*(-1 - 2*f + 12 - 3).\nAnswer: -20*f**3 + 80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 4\/5, 2\/7, 2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 6 - 5*h**2 + 6 - h. Calculate l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1553 (b) 7 (c) -127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t - 8. Suppose 41 = 2*l + 29. Suppose -l*n - 2 = -5*n. What is the tens digit of c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -2 + 0)\/(-1). Suppose 0 = y*i + 3*q - 19, 2*i - q + 3*q = 10. Let p(w) = -26*w - 16. Let x be p(-1). Solve -i*n = n - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12810176 by -8.\nAnswer: -1601272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 20*c = 15. Suppose 0 = -u - l + 38 + 19, -4*u + 4*l + 260 = 0. What is the remainder when u is divided by 19 - (c + 2) - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 + 9 = 2*a, -5*a = 2*x - 18. Suppose -8*y = -12*y - x. Let q(c) = 2*c - 5*c + 6*c - c. Calculate q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/1089*11*1*(-2)\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 11. Let r be u(13). Solve 0*t + r = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(t - t + t)*(2 - 2 + 4) + (4 - 4 - 2)*(15*t - 3*t + t).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16732 - 8 = -45*g. Calculate the lowest common multiple of 62 and g.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + s + 1)*(32 + 29 - 33)*(1 + 2 - 2 + (-1 - 1 + 1)*(0 - 1 + 2) + 2 - 5 + 5 - 3 + 5 + 0).\nAnswer: 112*s - 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f - 19*f - 266 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 2*q**2 - q - 2. Let s be u(-1). Which is the nearest to s? (a) -6 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.325 - 189.325. Let k = a - -92. Let b = -97.00000078 - k. What is b rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 30. Suppose -3*y + 6 = 4*d, -5 = -5*y - 2*d + 19. Let h be (y - 2) + (b - -2). Solve -1 = -x, 4 = 2*j - h*x + 2*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/9 - 44*r**2\/9 - 241*r\/9 - 196\/9.\nAnswer: (r - 49)*(r + 1)*(r + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((18 - 31) + -4 - -7)) + 6 + -1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -3 + 2\/1. Suppose 2*c - v - t = 2*v, -5*c = v + 1. Suppose c*r = -2*r - 4*z + 126008, -z + 315002 = 5*r. Round r to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 8*c - 3. Let b(x) = x**2 + 7*x - 4. Suppose -4*s - y + 19 = 0, -5*s = 4*y - 30 - 2. Let a(w) = s*b(w) - 3*u(w). What is a(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 430*y**2 + 8955*y + 42120.\nAnswer: -5*(y - 104)*(y + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2713*t*y**2 - t*y - 3*t + y**2 - 7170*y - 2 wrt y?\nAnswer: 5426*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1273268 and 1876?\nAnswer: 8912876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 91\/5. Let h = 19777\/7 + -2825. Sort h, -1\/20, x in decreasing order.\nAnswer: h, x, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 - 30*f + 3. Let j be v(-5). Find the second derivative of 6 - 3*n + 325*n**2 - 70*n**2 - j wrt n.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8001443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61620 + 71533. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o - 1. Let z(u) = u**3 - 13*u**2 + 4*u - 3. Let n(f) = 4*g(f) + z(f). Let j = -15384 + 15392. What is n(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44418 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 731 - 661. What is the remainder when y is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -189, -3\/4, 2?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 2}. What is prob of sequence qnq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (150\/45)\/((-2)\/(-6)). Suppose -n*m = -5*m - 135. Let u = 2590 - 2487. Calculate the remainder when u is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 20*a**2 + 100*a - 166. Give l(25).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 + 2*r - 4. Let m be u(3). Suppose 3 = 2*s + i, -m*s + 4*i = -5*s + 7. Find the common denominator of 127\/6 and (-8 + s)\/(10\/6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 - n. Let b be i(2). Suppose -r - m = 3*m - 10, -1 = b*r + m. Sort r, -3, -4 in increasing order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 58 = -47. Let n = c + -9. What is the third derivative of -n*g**2 + 18*g**5 - 17*g**5 + 2*g**2 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:16 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a372 - 484?\nAnswer: -12a846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320037, 640037, 960033, 1280025?\nAnswer: 1600013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 10*k**2 - 2. What is h(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 640*d**4\/3 - d**3\/2 + 293*d**2 - 3638*d. Find the second derivative of m(b) wrt b.\nAnswer: 5120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 1389105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:47 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 2 = -2*j. Suppose -3*s + 2*u - j*u = -17, -3*s + 14 = 2*u. Solve -s = -g - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*q + 586, -4*q + 2*s + 293 = -3*q. 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 the nearest to 1203 in -1, -4, 1\/13, 0?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 77. Suppose -g - f - 19 = -5*g, -2*f - 18 = -3*g. Solve -g*u + u = -n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527403*s + 527446*s + 1763 = 0 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 3*(9 + -4). Solve w - 9 = -3*g + c, g - w = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 5*o**2 - 4*o - 9. Let u be z(6). Let a(c) = 11*c**2 + c - 10. Let i be a(u). Let n = i + -60. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1424 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5 = -5*d + 3*d + 19, -c + 1442 = -1172*d + 1332*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -50?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -71265?\nAnswer: 71267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - ((sqrt(224)*-1 + sqrt(224))*5 - sqrt(224)))\/sqrt(4))\/(-1*(sqrt(1152)*-2 - sqrt(1152))).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3189, 25489, 86009, 203859, 398149, 687989, 1092489?\nAnswer: 1630759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-4\/3)\/o*o)\/o**(2\/115) assuming o is positive.\nAnswer: o**(224\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 17. Let g be 494\/117 - ((-2)\/(-9))\/1. Suppose g*h - 2*h = -8. What are the prime factors of v(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5344874?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*g + 5*a + 20, -g = 3*a + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 57\/24)*-1. Is -3\/4 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38340740 divided by -4\nAnswer: 9585185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 3*y**2 - y**2 - 6*y**2 - 7542 + 6*y**2 in the form c + x*y**2 + a*y and give c.\nAnswer: -7542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 1. Let q be y(2). Let c(z) = -2*z**2 - 12*z - 4. Let j be c(-6). Put q, 0, j in descending order.\nAnswer: 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.239 - 28.250459. What is t rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from eefiefieeefiie?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121592183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*j - 19, -b + 5*j + 18 = -1. Let y be b\/(90\/(-25)) + 27\/2. Which is bigger: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 11*k - 4*k - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2331*v**2 - 4*v - 6 - 4*v - 7 - 15420*v**2. Let l be j(-4). Round l to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -53*o - 18. What is u(1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 3:17 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21 + 86\/(-4))*0. Put 16, a, -13, 2 in decreasing order.\nAnswer: 16, 2, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/35235 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8 + 7. Calculate the remainder when (9 + -45)\/((-3)\/4) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.59 and -680.\nAnswer: 401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 31*u**2 + 111*u + 81. Let g be i(-27). Solve g = 27*d - 35*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21957.1803 seconds to days.\nAnswer: 0.25413403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125004 - 84343. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-875))\/(((-378)\/45)\/(-14))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 374 or 7509\/20?\nAnswer: 7509\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - 2*i - 3*i + (-3 + 0 + 0)*(i + 2*i + 0*i))*(-1 + 5 - 2) as h*i + w and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14876*r**4 - 70*r**3 + 206623*r**2 + 4?\nAnswer: -357024*r - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.255 + 5\nAnswer: 4.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 6*q + 1. Let y be v(6). List the prime factors of (-192)\/(-10) + y\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 193 = 4*w, -3*w = l - 71 - 50. Solve -w + 257 = -43*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {c: 1, t: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 85268957*d\/3 - 28422986\/3.\nAnswer: (d + 28422986)*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrddrr. Give prob of picking 1 r and 1 d.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -250, -905, -2186, -4303, -7466, -11885?\n\"Answer: -35*a**3 + 2*a**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13673 + -13671. Calculate the greatest common divisor of k and 3482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.365 + -3.365. Which is the nearest to q? (a) 0.1 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + m + 24 - 5 + (-1 + 0 + 2)*(-4*m - m + 3*m) as q + p*m and give q.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195618 is divided by 158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 1, 24, 5, -30, 7 in increasing order.\nAnswer: -139, -30, 1, 5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.208901 to one decimal place.\nAnswer: -115.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-15)\/9 + 6. Put 2, o, 24 in ascending order.\nAnswer: o, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1095897 - -13140149\/12. Let a = c - -885. Is -13 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 143?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 12812?\nAnswer: -12815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - a + 2 = -5*w, -5*w = 5*a - 30. Is 0 + 1\/w*22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.1 (c) -6\/29 (d) 0.01014 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071?\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*p**3 - 574*p**2 - 374*p + 16995914 wrt p?\nAnswer: 24*p**2 - 1148*p - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4604065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7+-42.9\nAnswer: -49.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46\/7 (b) 0.2 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(99) + sqrt(99) + -5 + (sqrt(99) + (sqrt(99) - 2*sqrt(99)) - sqrt(99))) + (sqrt(99) + -4*(sqrt(99) + -2) - (sqrt(99) + 3)*5))**2.\nAnswer: -1638*sqrt(11) + 17172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/7 + -9\/35. Let l = -8\/5 + 2. Which is the nearest to 1? (a) -3 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75917 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:12 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 3. Let l be 5\/((-15)\/2)*27\/(-2). Let i be h(l). Suppose m - i = j, -4*m + 4 = -2*j - 16. What is the remainder when 17 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k + 38 = 773. Is -23 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19417877*k**3 + 94*k**2 - 3*k - 8916 wrt k?\nAnswer: -116507262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121021212110 + 11110?\nAnswer: -2121021201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*39\/52*(4 - 2). Sort -4, k, -5, 292, -2.\nAnswer: -5, -4, k, -2, 292","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5615 - 4931. Calculate the lowest common multiple of d and 304.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {e: 3, f: 4, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.2867812 to 2 decimal places.\nAnswer: -24.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17319 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 906. Calculate the lowest common multiple of n(48) and 1336.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 3*h**2 + 6*h + 5*h.\nAnswer: 3*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2.3, 3\/4, 8, -6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134845 + -82775. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let q be 5 + (-1 - (-2 + 1)). Suppose 15 = q*z, -5*z = 4*d - 11 - 28. Let x = d - 9. Calculate o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140047 + -703736171\/5025. Let k = -557719\/70350 - n. Calculate the common denominator of k and 87\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 2*p. Suppose 230 - 81 = z. Let v = z - 150. Let k(f) = -3 + 3 - 1. What is v*x(l) - k(l)?\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-50)*5 - (-2)\/(-4). Suppose 0*x - k*q = 2*x - 90, -q = 1. Let c = x - 44. Solve 0 = -i + c*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 13 - 21)*(-268 + 2*b**4 + 2*b**3 + 268).\nAnswer: -160*b**4 - 160*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 8935?\nAnswer: 8935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(405) + -1)*-2 - (sqrt(405) - -1*(sqrt(405) - 3*sqrt(405)) - sqrt(405)) - (sqrt(315)*-5)\/(sqrt(84)\/(sqrt(24)\/sqrt(2)))))**2.\nAnswer: 1500*sqrt(5) + 28225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j + 1. Let p(g) = -g + 9. Let k be p(8). Suppose -2 = -s - k. Determine l(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2123 (base 5) to base 15\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41382\/1716 + 21\/1456*-8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((j**(-1\/8)*j)\/j)\/j*j)\/j**(-7\/4))**(2\/39))**(-1\/32))**(4\/23) assuming j is positive.\nAnswer: j**(-1\/2208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 2*u)*(-u**3 + 0*u**3 - u**3 + (-3*u**2 - 2*u**2 + 4*u**2)*(4 + 2*u - 4) + 72*u**3 + 246*u**3 - 1436*u**3).\nAnswer: 2244*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(1\/21)*v)))*(v*v**(-13)\/v*v)\/v)**36)**(-1) assuming v is positive.\nAnswer: v**(3288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2)*2\/4)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 20*p**4 + 12*p**3 - 108*p**2 + 12. Let c(n) = 8*n**4 + 5*n**3 - 43*n**2 + 5. Let j(b) = 12*c(b) - 5*t(b). Find the third derivative of j(h) wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1 + 8*g**2 - 1 + 2. Let u(b) be the third derivative of -b**5\/30 + 10*b**2. Determine u(p(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldiliylldllldui. Give prob of picking 1 u, 1 d, 1 l, and 1 i.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 268, 594, 1050, 1636, 2352?\nAnswer: 3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 - 183632748*b**2 + 3*b + 183632748 = 0. What is b?\nAnswer: -61210916, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 + 1008814*y**3\/9 + 2017646*y**2\/3 + 1008826*y.\nAnswer: -2*y*(y - 504413)*(y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (16\/(-80))\/((-15)\/2009025)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y**3 - 3. Let b(j) = 15*j**3 + 2. Give -4*b(a) - 3*x(a).\nAnswer: -12*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179248736 and 42940?\nAnswer: 8588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 8*z + 12. Let v be s(19). What is the highest common factor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arl when three letters picked without replacement from {a: 1, l: 1, g: 1, r: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 41*h - 24*h - 396 = 0. Is h greater than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 200*v - 4*q + 39, 42 = 3*v + 6*q + 12 - 144 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1709893, -1709890, -1709887?\n\"Answer: 3*c - 1709896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 79956786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*p**5 + 143567*p**3 - 1228359*p**2 + 26 wrt p?\nAnswer: -8160*p**2 + 861402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*m**5 + 34403355*m**3*u**3 + 2*m*u**3 + 5*m*u - 16*m + 2*u**3 + 54476*u wrt m.\nAnswer: 220*m**3 + 206420130*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*f - 52. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 4*q**2 - 7*q**2 + q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (12\/(-10))\/((-3)\/9695 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**4 + 33*k**3 + 22*k - 1 wrt k.\nAnswer: 96*k**2 + 198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(204)\/(sqrt(12)*1).\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 165 = -27*h. What is the remainder when h is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1274 and 10.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4366 - 4370. What is the closest to 0 in 0, -0.22, p, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.44 - -1.43999854. What is l rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1148, -1\/5, 11\/2526?\nAnswer: 11\/2526","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 166, 362, 586, 838, 1118?\n\"Answer: 14*v**2 + 154*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 + 2 = 0. Suppose f*m = -3*y + 35, -5*y + 3*m - m = -17. Solve 6 = -y*q + 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -295, -294, -293?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:47 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {e: 7, p: 12}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-4)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t. Solve -r + t*r = 4*x + 17, -4*x - 26 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 19. Let v(g) = -10 + 4*g - 11*g - g**2 + 5. What is the lowest common multiple of d and v(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o - 234. Let b be g(-8). Let t = b - -128. Solve t*m = -7*m + 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, -99 in increasing order.\nAnswer: -99, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (62\/(-3))\/((-4)\/834). Suppose 9*w - l = 1928. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u + 170. What is i(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/(-15) - 1\/5. Suppose 0 = -5*q - g + 24. Find the first derivative of -l**q - 13 + 6*l**3 + 4 wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 49*w + 47 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72688\/156 + (-14)\/(-273). Is m bigger than 466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 15*w**2 + 27*w + 2. Determine k(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(16\/11)\/(d**(1\/4)\/d)**43)\/(((d**(2\/7)*d)\/d*d**(-3\/7))\/((d\/((d*d**(-5))\/d*d))\/((d\/(d**(-4)\/d))\/d))) assuming d is positive.\nAnswer: d**(10873\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) - 4\/15. Which is the nearest to 2\/3? (a) -2\/7 (b) 9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 515 = 5*d, -3*z + 576 - 181 = -5*d. Calculate the remainder when z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27790 divided by -411.\nAnswer: 27790\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 226897730 or 226897731?\nAnswer: 226897731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:00 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -25 + (23 + -1 - 2) + -100 + 88\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160566*r**3 - 642262*r**2 + 8*r.\nAnswer: -2*r*(r + 4)*(80283*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-684)\/135)\/(306\/10). Let z = r - 27968\/41769. Let a = -9\/13 - z. Sort -3, -3\/7, a.\nAnswer: -3, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, 6417, 13097, 19777?\nAnswer: 26457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -1, 2, 12, 830 in descending order.\nAnswer: 830, 13, 12, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 15*o - 16. Let v be s(16). Suppose v = -4*w - 12, -i + 2*w + 2*w + 20 = 0. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - s - 8 = -5*s, -5*b + 16 = 4*s. Let p be (10\/b + -2)*0. Let f(u) = u**2 + 5*u + 1. Let c be f(-5). Sort 5, p, c in decreasing order.\nAnswer: 5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 divided by 107.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674807493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 1. Let t = -0.5 + a. Let j = -22.7 - -22.7. What is the second biggest value in j, t, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 2*t**2 - 5*t**2)*(1 - 1 + t) - 35581 + 35581 - 868*t**3 to the form a*t**2 + w + v*t**3 + q*t and give v.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -161*d - 5522 = 90*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(((-2)\/5)\/(1\/5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 + 21*h**4 + 6*h**3 - 42*h**2 - 3*h + 21 = 0. What is h?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-3 + -3 - (sqrt(80) + (sqrt(80)*2 - sqrt(80)))**2.\nAnswer: -323 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-12)*l)))\/l**18 assuming l is positive.\nAnswer: l**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.5, -0.01, -2\/5, 2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2840 and 104680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2952631\/35 + 84351. Let h = 72\/7 + b. Factor -h*f**3 + 0*f**2 + 1\/5*f**5 + 0*f**4 + 0 + 1\/5*f.\nAnswer: f*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 12*n + 32. Let d be o(8). Let i(q) = q + 16. Calculate i(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 517*c + 3030. Determine d(-5).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1227506615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 206992399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 6*q**2 + 8*q + 1. Let n be t(-7). Let k = 8 + n. Solve -p + 1 = k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2078352 and 6120.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 309*g**3 - g**2 + 9*g - 10. Let k(h) = -155*h**3 - 5*h + 5. Let v(q) = 4*i(q) + 7*k(q). Let z be v(3). Suppose 0 = -4*s + z + 1413. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.083*-14475\nAnswer: -1201.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-459)\/(-170))\/((-7)\/(-15)) + (-2)\/7\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 6. Let b(s) = 3*s + 17. Let k(x) = -2*b(x) + 7*v(x). Let o be k(-7). Let z be 75000\/(o*1\/44). What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-48)\/8)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvd when four letters picked without replacement from {v: 2, d: 3, g: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502 by -1.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (60 - (137 - 45))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5008435?\nAnswer: 5, 1001687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncpp when four letters picked without replacement from {c: 2, n: 1, x: 3, p: 5, i: 7}.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 212.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 29*i - 10. Let h be s(-30). Suppose -3*p = 2*p. Suppose 7 = 3*x + 1. Solve p = x*v - 7*v + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/207)\/(1\/18*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761881 + 241881. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*a + 7*j - 72, -2*a = j - 40. Suppose -7776 = 6*b - a*b. What is the greatest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*m = -21, -2*o - 8 = m + 7. What is the remainder when 42 is divided by 1*(-18)\/o*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*r + 25. Suppose r = 2*y + 16. Let h(l) = 2*l + l - 4*l. Determine h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*h - 23641, -2*h + h = 2*o - 9457. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -120, -116, -112, -108, -104, -100?\n\"Answer: 4*y - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = -4*j, 5*c = -2*j - 1 + 3. Suppose -2*f + j = -19. Let p = 4 + 6. What is the greatest common divisor of f and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4*h**3 - 5*b**4 - 102*b**3*h**2 + 2550*b**2*h**3 - b**2*h**2 - 37*b**2*h + b*h wrt b.\nAnswer: -72*b*h**3 - 120*b - 612*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + b + 1 = 0, -3*d + 3*b = 7*b + 9. Differentiate d - 6*y**4 + 10*y**4 - 2*y**4 wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 161, 299, 445, 605, 785, 991, 1229?\n\"Answer: p**3 - 2*p**2 + 137*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((-33)\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/8 + -3)\/((-3)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4. Let z(w) = 2*w**2 - 6. Calculate 5*i(j) - 3*z(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwfaanwnazzajazzw. What is prob of picking 1 z and 1 n?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2150317314, -2150317316, -2150317320, -2150317326, -2150317334, -2150317344?\n\"Answer: -b**2 + b - 2150317314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 163 = 4*p. Suppose p = 4*m - 4. Solve -2*a + 3*s - m = 0, -3*a - 2*a - 2*s = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/80 - 3*j**5\/40 - j**4\/8 + 9*j**2 + 2*j. Solve a(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 14*r - 21. Let j(h) = -25*h**2 - 73*h + 115. Let f(s) = 2*j(s) + 11*y(s). Let z(u) = 4*u**2 + 8*u - 1. Give 3*f(n) - 4*z(n).\nAnswer: -n**2 - 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3215 + 577?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from ccccbycibbicccbb.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 4. Let s(o) = o - 1. Let a(r) = -2*r + 2. Let b(h) = a(h) + 3*s(h). Give 18*b(l) + 4*u(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 8*o**2 + 5*o + 1. Suppose 7*c + 24 = 9*c. Suppose -24 = -4*h + c. Is j(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b - 7. Suppose -3 = 3*h, 4*m + 150 = b*h + 873. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2833, 3797, 4763, 5731, 6701, 7673, 8647?\n\"Answer: h**2 + 961*h + 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 157700 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 669035601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 49398250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.96 - -3. Let w = -0.039998 + k. What is w rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038822 is divided by 243.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*s**3*t**2 + 2*s**2*t**3 - 4*s*t**2 + 12*t**3 + 4 wrt s.\nAnswer: 1608*s*t**2 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, 1 h, and 1 b when four letters picked without replacement from hhubbhhhpypbuhuabhu?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*w + 56917 + 57374, 0 = 5*a + w - 114309. What are the prime factors of a?\nAnswer: 3, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, i: 1, d: 2}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 11*v - 277 - 47. Calculate the remainder when 1366 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:45 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7950 divided by 2\nAnswer: 3975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*b - 0*b, -5*b + 4*c = 0. Suppose b*d = d - 3. Differentiate 2 - m**4 + d*m**4 + 0*m**4 wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - h)*(1 + h**3 - 11*h**2 + 11*h**2) + (9 - 9 - 3*h**2)*(0*h**2 + 0*h**2 - h**2).\nAnswer: 2*h**4 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527890 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64218143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose b*p + 5*p = 100. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 23 + -81 + 30.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-16) - (932\/(-96) + 9). Factor 1\/3*u**2 - 2\/3 - d*u.\nAnswer: (u - 2)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*o**3 - 1570*o**3 + 2105*o**3.\nAnswer: -53*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 + 60*f + 300. Let r(k) = k + 5. Let h(o) = -n(o) + 60*r(o). Let p(w) = 12*w**2. Calculate h(p(l)).\nAnswer: -1440*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t**3 + 2*t**2 - t - 1. Let k(p) = 11*p**3 + 5 - 12*p**3 + 34*p**3 + 13*p**3 + 6*p - 11*p**2. Let d(f) = 11*h(f) + 2*k(f). Give d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 2, -9, -5.\nAnswer: -9, -6, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 214 and -0.056.\nAnswer: -11.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531.1123l to millilitres.\nAnswer: 531112.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 12. Let h(j) be the second derivative of -j**4\/12 + 5*j**3\/3 + 2*j. Let v(s) = -5*s**2 + 41*s. Let c(m) = o*h(m) - 2*v(m). Factor c(u).\nAnswer: u*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f - 120. Let k be h(9). Let o(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 5*z**2 - 8*z + 7. Determine o(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let t(m) be the third derivative of -7*m**5\/30 - 2*m**2 - 3. What is t(w(v))?\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11 = 12. Let n = -7 + p. Are 17 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12082 divided by -2?\nAnswer: -6041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -589*s + 1234*s - 634*s + 13*s**2. Let u(i) = -6*i**2 - 5*i. Calculate 9*u(o) + 4*z(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 70 + (1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17317360 and 19760.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, -15, 0.4, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**2*v**2*y**2 - 3*n**2*v*y**3 + 51*n**2*v*y + 43*n*v**2*y**2 + 6*v**2*y**3 - 32*y**3 wrt y?\nAnswer: -18*n**2*v + 36*v**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(605) + 1) + -4 + 0 + -2*-5*(sqrt(605) + 1)*-5)**2.\nAnswer: 57134*sqrt(5) + 1455414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795720 is divided by 397841.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2442 divided by 21576.\nAnswer: 407\/3596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 9. Let b(d) = -19*d + 1. Let z(k) = -10*k. Let l(p) = 3*b(p) - 5*z(p). Calculate l(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -0*r. Suppose -25*z + 336 = -19*z. Suppose 0 = 4*q - 48 + z. Is q bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 6*z**2 + z + 1. What are the prime factors of y(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/420 + j**6\/120 - j**3\/3 - j. Let y(q) be the second derivative of c(q). Find the third derivative of y(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.8 times -0.05\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -1, -2, 0, -5 in ascending order.\nAnswer: -138, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*r + 7. Let q be (8\/(-14))\/(2\/(-14)). Suppose 0 = 4*s - 12, 4*u + 3*s - 1 = q*s. Solve 0 = -c + 3*o + 19 + u, 5*c = -r*o + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 31. Suppose 0 = 3*k + f - 108 - 25, -5*f = -4*k + 190. Calculate the remainder when k is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 1441957?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + (-36)\/(-28). Let g be 1 + d\/(1 + -2). Is g at least -2\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81156111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 280, -0.2 in increasing order.\nAnswer: -0.2, -0.1, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 23*b + 3. Give t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1077 - 2\/(2 + -3). Let h = -2063\/2 + v. Find the common denominator of 2\/(-4)*134\/(-6) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 times 0.043273?\nAnswer: -5.582217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464 + -3?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, f: 1, j: 1, u: 12}. Give prob of sequence bj.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.04, -0.2, 0.8, -157, 4 in decreasing order.\nAnswer: 4, 0.8, 0.2, -0.04, -0.2, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3879 and 103932.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23022 + 23027. Sort -0.196, 0.01, p in decreasing order.\nAnswer: p, 0.01, -0.196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*n - 203*n + 1204434 = 181*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 26. Calculate g(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -187*k - 427. Let z(d) = -372*d - 853. Let a(o) = 5*h(o) - 2*z(o). What is the derivative of a(y) wrt y?\nAnswer: -191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -s - 3*s. Let k(t) = 11*t**2 - t. Let q be k(-1). Calculate the greatest common divisor of q and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -0*s. Solve 0 = -3*h + n - s*n - 5, 0 = 3*h - 5*n + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 - 3512\/15. Suppose -4*u = -l + 12, 3*l + 0*l - 6 = 2*u. Sort 0.1, l, s in increasing order.\nAnswer: s, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 76\/3 - 1\/3. Suppose 2*h - 5 = 3*p + 2*p, h = -5*p + 25. Calculate the greatest common divisor of r and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149 - 504 - 17)*(-3*z + 2 - 2)*(-5*z**2 + 5*z**2 + z**2) in the form h + b*z + i*z**3 + o*z**2 and give i.\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-765)\/(-10))\/(-17)*(-12)\/99.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 8\/3*g**3 + 0*g - 1\/60*g**6 + 0 - 6*g**2 + 1\/20*g**5 + 1\/4*g**4. Is r(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a + 4. Suppose 5*c + 0*c = -40. Let v(x) = -7*x - 6. Let u(i) = c*q(i) - 5*v(i). Differentiate u(k) with respect to k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4017 - 492912.11366.\nAnswer: -488895.11366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 4862176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1084 (base 10) to base 3\nAnswer: -1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38639\/3 + 12879. Suppose -3*z = -0*z. Which is the nearest to -0.01? (a) -1\/9 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -423) + -2 + -6. Suppose -7655 = -5*b + 5*t, 3*t - 1949 + z = -b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/311112 and 97\/252.\nAnswer: 2177784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -13*n**4\/24 + 39*n**3\/2 + 51*n**2. Let z be s(9). Solve z = 5*h - 6 + 1, -h = -5*x + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 1. Let i(a) = 3*a + 2. Give -3*i(p) - 4*y(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86388, -172778, -259166, -345552?\n\"Answer: g**2 - 86393*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39184 + -20088. List the prime factors of j.\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62694950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*5\/(-5) - 1. Let k(z) = -z**3 - 5*z**2 - z + 4. Give k(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, -9142, -9 in decreasing order.\nAnswer: 242, -9, -9142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55383667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - 5*m**2 - 2*m**3 + (2 + 2*m - 2)*(12*m - 6*m - 9*m)*(2 - 17 - 6)*(-2*m - 2*m + m) to g + i*m**3 + d*m + t*m**2 and give i.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1709*h - 37340. Calculate k(-22).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653628931 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/((-5)\/(-96))*(-5 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 1 = -7*z. Let x(h) = -5*h**3 + 1. Calculate x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424 by 8.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-207)\/(-18) - 10)\/(-1*4\/(-416)). What is the greatest common divisor of 2223 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 38, 45, 52?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/2520 - z**4\/3 + 12*z**2. Let w(c) be the second derivative of a(c). Let l(j) = -11*j**2. What is l(w(v))?\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.7. Let h = 25.4 + -25. Suppose 8*v - 183 = -215. Sort h, v, s, -2\/5 in ascending order.\nAnswer: v, -2\/5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 4 + n**2 + 7*n - 2*n**2. Let q be h(-7). Calculate the common denominator of -19\/4 and ((-595)\/(-40))\/(5\/q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0309 and -2.046.\nAnswer: -2.0769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20.173 and 606775.601.\nAnswer: 606755.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((1 - 2) + -1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from xyfcccfc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v**3 + 7*v**3 + 24*v + 7*v**3 + (v**2 + 0*v**2 - 3*v**2)*(-9*v - v - 8*v).\nAnswer: 35*v**3 + 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -11 (c) -2 (d) 0 (e) 2\/21 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*c**2 - 43*c**2 + 3 + 141*c**2 - 51*c**2 to the form k + g*c + f*c**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -213, -204, -195, -186?\n\"Answer: 9*v - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqvv when four letters picked without replacement from {n: 4, v: 3, q: 3, t: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 4*u**3 - 2*u**3 + 8*u**3. Calculate t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 14. Suppose -3*k - 3 = -z*y - 2, -4*y + 26 = 2*k. What is the closest to 1 in 5\/2, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.19 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(-3 - (-336)\/16 - 4164\/231)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -517.9*5.5\nAnswer: -2848.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7521*l**3 + 1 + 7527*l**3 + 1.\nAnswer: 6*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*i - 0*i, -3*t + i + 12 = 0. Suppose -t*s + 16 = 1, x + 91 = 5*s. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 1808*h - 23. Let m(v) = -452*v - 5. Calculate 2*j(q) - 9*m(q).\nAnswer: -2*q**2 + 452*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(320)*1 - sqrt(320))**2 + 0 - ((sqrt(320) + (sqrt(320) - sqrt(320)*3))*3 - sqrt(320))).\nAnswer: 5 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 13) to base 4.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**6\/z)\/z)\/(z**(7\/3)*z))**(-6\/13)\/((z\/z**(-1)*z)**50)**(-3\/8) assuming z is positive.\nAnswer: z**(2861\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3399718301 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5)\/((-8)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 4*q**2 - 2*q**2 + q**2. Let a(u) = 3*u - 1. Let n(s) = 962 - 19*s - 485 - 482. Let o(p) = 6*a(p) - n(p). Determine j(o(x)).\nAnswer: 1369*x**2 - 74*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-5)\/(-10))\/(2\/(-1404)*9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32116547?\nAnswer: 3167, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 x when four letters picked without replacement from {x: 9, g: 7}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240117 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 120*q - 670. Determine l(11).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 778.21994 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 753762 and 23492249.\nAnswer: 140953494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 76 = d, 0*l + 4*l - 148 = -3*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7266*p**2 - 1557*p - 6228. Let i(u) = 3*u**2 - u - 4. Give -b(s) + 1557*i(s).\nAnswer: -2595*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ybyyyyyyyyyyybbybb?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/(-148)*(-18)\/(-15))\/(9\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -0.2, -9\/7, -245?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) 93\/5 (b) 1\/110 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (7 + (-15 - 4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (224*c**3 - 117*c**3 - 116*c**3 - c**2)*(4 - 20*c - 5 + 3 + 8*c) to m + v*c**2 + o*c**4 + x*c + t*c**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -941*v**7\/21 + 5*v**4\/6 + 23*v**3\/6 + 1600*v. What is the third derivative of b(r) wrt r?\nAnswer: -112920*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285225131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129 + 147 - 23*s - 238 to the form p*s + a and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26556546.01 rounded to the nearest 10000?\nAnswer: -26560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 425 and 255.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4992 and 687804?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -39*y - 1. Let t(l) = 2*l - 32. Calculate t(b(m)).\nAnswer: -78*m - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 35*l**2 + 195*l + 24. What is d(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (5 + 1)\/(36\/990)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*q - 117*q - 684. Suppose 0 = -5*o - 19 - 6. Put o, 2, q in decreasing order.\nAnswer: 2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -10295848.\nAnswer: -3\/5147924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980761255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-45 + ((-6)\/(4 + (-50)\/11) - 6))*2\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055583581 rounded to three decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 3*q - 28*q - q**2 - 84*q - 61*q as i*q**2 + v + j*q and give j.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725*v + 1350516 = 731*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, 60.\nAnswer: -5, -4, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 5. Suppose j = 2*i - 7*i + 3, 36 = 5*j + 4*i. Let w(s) = -6*s + 8. Give j*n(p) - 5*w(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -283*y - 276. Let a be t(40). Is a\/(-65)*(-3)\/6*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 25, -13 in decreasing order.\nAnswer: 25, 17, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g - 1. Suppose u + 9 = -3*z - 4, 0 = 2*u - z - 2. Let y be 3*(-1 - 0)*u. Let x be q(y). Solve -d = x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l - 1 + (0*l - 2*l + 3*l)*(-1 + 0 - 1) - 2*l + 0*l + 3*l + l - 4 + 4)*(-2*l**4 + 2*l**4 + 2*l**4).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a week in minutes?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3755 + 774. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 - 753 = -5*t. Suppose -71 = -p - t. Solve -g + p = 10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 5*t**2 - 8*t. Let a be r(-6). Let w = 4 + -1. Let c = 9 - w. Calculate the greatest common factor of c and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:52 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 3*y**2 + y + 5. Let n be a(-3). Suppose -n*q - x = -5, q - x + 2 = -3. Solve -2*f - s - 9 + 3 = 0, 3*f - 2*s + 9 = q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 36 = 5*w, -5*p - 5 = -2*w + 16. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-289)\/(-17) - -2 - -29. Suppose 0 = -2*h + 4*h. Let i be 12 + (0 + h)\/2. What is the greatest common divisor of q and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/720 + w**5\/15 + w**4\/24 + 2*w**2. Let u(f) be the second derivative of t(f). What are the prime factors of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3308*n**5 - 17*n**4 + 53*n**2 + 3415*n.\nAnswer: 198480*n**2 - 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 181891*y**3 - 1460*y**2 + 2*y - 12?\nAnswer: 120*y**2 + 1091346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 4, e: 3, w: 2, n: 4}. What is prob of sequence koe?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 25*q**2 - 5*q. Let c(l) = -12*l**2 + 2*l. Give 5*c(f) + 2*t(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w - g = 10, -4*g - 31 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 124*u**3 - 3*u. Let z(t) = 255*t**3 - 5*t. Determine 5*c(r) - 2*z(r).\nAnswer: 110*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132777 is divided by 16564?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -334.521.\nAnswer: 1338.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**3*u + 10*q**3 - 3*q**2*u + 1322*u wrt q?\nAnswer: -3*q**2*u + 30*q**2 - 6*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 334*r**2 - 12*r - 77. Suppose 4*z + 11 + 9 = 0, -4*z = -c + 15. Is t(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-480))\/(3\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.486 - -0.186. What is the third smallest value in u, 0.12, -6\/13?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 11:28 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 21, -134, -311, -504?\n\"Answer: s**3 - 20*s**2 - 74*s + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4))**(5\/3)\/(z**(1\/4))**(-2\/35) assuming z is positive.\nAnswer: z**(177\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*o**2 + 204 + 112*o**2 - 28*o**2 - 27*o**2 - 29*o**2 to g*o + x*o**2 + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/110 and 81\/9398?\nAnswer: 516890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -325*x + 1783 - 1783 to the form p + k*x and give k.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**6\/120 + m**5\/12 + 5*m**4\/24 + 4*m**3\/3 - 19*m**2\/2 - 12. Let w(d) be the second derivative of j(d). Give w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10 = 3*s. Suppose s = 3*i + 325. Round i to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 2 (c) -2 (d) 71 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.96 - -3.36. Let v = 4 - 2. What is the closest to -2\/7 in 4, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77490880.\nAnswer: 2, 5, 113, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 24*l + 7. Let w be t(24). Suppose -o = w*o - 688. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232.96 - -223.96. Let f = 4 - 4. Which is the nearest to 3? (a) -0.2 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1161, -5, 0.06.\nAnswer: -1161, -5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 6 = -l. Suppose y + 4 - l = 0. Solve -2*a - 5*q + 5 = 0, -a + 2*q - y*q = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 2 (b) -0.5 (c) 17 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/38847 and 40\/1679.\nAnswer: 2835831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**2 - 20010*p - 669590. Determine h(1462).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9 (b) -20 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/49500 and 91\/3000.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03615636 rounded to five decimal places?\nAnswer: 0.03616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a second in milliseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 12*g**2 + 11*g - 15. What is the units digit of i(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -3294.6861957\nAnswer: 3255.6861957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168574126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -595*r + 620*r + 400 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 divided by 235425?\nAnswer: -302\/235425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 12:45 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214 (base 6) in base 5?\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**5 + 0*j**4 - 25\/6*j**6 + 0*j**3 + 83*j**2 + 0*j + 58. Find the second derivative of z(d) wrt d.\nAnswer: -500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 332 + -836. Let f = -9574\/19 - g. Let l = -61.5 + 66.5. Which is the second smallest value? (a) f (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/12 + l**3\/6 + l**2\/2 + 2*l + 35703. Let k(d) = -1 + 7 + 7 + 4*d - 7*d**2. Give k(a) - 5*q(a).\nAnswer: -2*a**2 - a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130263 + 309729. Suppose 3*k + 2*j - 329996 = 0, k - 4*j = 5*k - c. Round k to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*p**3)*(11*p**2 + 8 - 8).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176025?\nAnswer: 5, 47041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 735396 + 367599 + 367797.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.5 + 13.5. Let i = m - 66. Let v = -0.4 - -0.9. Sort v, i, 5.\nAnswer: v, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h + 304. Determine p(-17).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0225047504 rounded to 5 dps?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 214.9 + 85\nAnswer: 299.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/4 + -3)*6. Let h(b) = b**3 + 6*b**2 + 4*b - 3. Let y be h(-5). Let o be (0\/1)\/(3\/(-3)). Solve o = v*k + 8 - y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(2448) - 1*sqrt(2448))**2 + sqrt(833) + 1*sqrt(833)*-5 + sqrt(833).\nAnswer: -21*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -126623 (base 8) in base 7?\nAnswer: -243356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 30*f**2 + 35*f**2 - 2 + 2 in the form m + k*f + y*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, 1 l, and 1 c when four letters picked without replacement from {l: 1, j: 2, u: 1, n: 1, c: 1, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(-5 + sqrt(112) + 1*sqrt(112))**2.\nAnswer: -9460 + 1600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + -5 + 4 + 1 + sqrt(245) + 3*(sqrt(245) + (sqrt(245) + -1 - sqrt(245))))*-1 + 1)**2.\nAnswer: -11907 + 1176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (((-1734)\/68)\/((-6)\/4))\/(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6952)\/95590)\/(36\/(-66)*-5)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.5772 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9471013.02ms in weeks?\nAnswer: 0.01565974375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f + 346 = -984 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 3 = -3*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*l**2 - 5*l + 3*l**2 + l**2 - 7*l**2 to b + g*l**2 + w*l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94 - 22) + -58 + -89.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -124772 equal to -124843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 82607\/6, -3.5, 1.3, -2 in decreasing order.\nAnswer: 82607\/6, 1.3, -0.1, -2, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) + 2*(-2*sqrt(228) - sqrt(228)))*6)\/((sqrt(300)*2 - sqrt(300))*-1 + (sqrt(300)*-2*-2 - sqrt(300))).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/15 (b) 0.0363 (c) 4 (d) -1111.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -69. Let v = d + 46.3. Let i = v - -2.70064. Round i to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, b: 1, u: 3, f: 5, x: 3}. What is prob of sequence ufy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261084224.\nAnswer: 2, 7, 373, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -3, 2\/7, -14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a gram in milligrams?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 9*y - 34. Is u(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1027 + -891. Solve f = -16*f - q for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120089?\nAnswer: 29, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 1. Let a(b) = 84*b**3 + b + 1. Let j(t) = a(t) + 3*z(t). Does 10 divide j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, 151, 61, 2 in increasing order.\nAnswer: -3, -1, 0, 2, 61, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 389\/2 - 228. Let m = 5162240938283\/9738 - 530113059. Let q = 28\/541 + m. What is the common denominator of a and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2 - ((2 - 8\/16) + 98451\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/9 - (168\/(-9) + -4). Let s be ((-2)\/(p\/18))\/(54\/(-8)). Which is the nearest to -0.1? (a) -3 (b) -2\/67 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l - 0. Let z(x) = -2 + 7 - l - x - 1. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5727 + -1.1727. What is the nearest to 2\/9 in 1, -85, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 74*b + 18. Let l(i) = 4*i + 1. Let w(c) = 36*l(c) - 2*u(c). Let o(s) = -27*s**2 + 12*s**2 - 21*s**2. Determine o(w(q)).\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*v + 100806 = -752948. Calculate the remainder when v is divided by 474.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from vvdddmvsdvm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-29185)\/(-350))\/13 - 6 and -73\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 9*p - 4*p)*(6 - 7 - 2)*(-2*p - 10*p + 33*p)*(-2*p**2 + 5*p**2 - p**2).\nAnswer: 1386*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - z**2 + 3*z + 1772. Let b(v) = 4*v**3 - 3*v**2 + 14*v + 7087. Let a(p) = -2*b(p) + 9*y(p). Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -164, -719, -1650, -2957, -4640, -6699?\n\"Answer: -188*j**2 + 9*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z = -1430 + 1880 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luzzd. Give prob of sequence lzu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2 - 199440*x + 7972800 = 0.\nAnswer: 40, 66440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 72\/72*(-2)\/13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -24, -170, -460, -942, -1664, -2674?\nAnswer: -4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*k + 31, 2*k + 47 = 2*g - 5. Let d = k - -117\/5. Factor 0 - 2\/5*z**5 + d*z**3 + 0*z**4 + 0*z + 0*z**2.\nAnswer: -2*z**3*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479*d*n**2 + 379*d*n - 2*d + 96*n**2 + 38*n - 1 wrt n.\nAnswer: 958*d + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 2*t - 4*t - 3*t - 2*t + 4*t + (3 + 0 - 5)*(t - 1 + 1) + (-1255 + 1255 + 61*t)*(3 + 0 - 5) to y*t + d and give y.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 68 + 58 = 0. Solve -z = -5*q + 3*t, -2*q + q + 1 = 2*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(162)\/(sqrt(9) + sqrt(99)\/sqrt(11)))\/(-1*sqrt(150)*1) + -1.\nAnswer: -1 - 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44858782*o**2 - 726*o - 6279 wrt o?\nAnswer: -89717564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598250 is divided by 29912?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, 1 h, and 1 y when four letters picked without replacement from {k: 6, y: 1, t: 2, h: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-10 + 2 - (5 + (8 - -4)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d - 20 = -22*d - 4*o, 2*d - 4*o = 4. Let z(h) = -5*h - 12. Let w(i) = 9*i + 23. Let y(g) = 6*w(g) + 11*z(g). Is y(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.62 + -0.625. Let x = w - 3.995. What is the closest to -3 in 0.5, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4222 + (-42)\/30*5. Calculate the greatest common factor of j and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 17. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2002, -126, -27 in decreasing order.\nAnswer: -27, -126, -2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) -3.15 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 at most -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrc when three letters picked without replacement from ggbgcgvcgrvrgxvvvrgr?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3552.028 + 3552. Let y = -2362 - -2365.972. Let g = y - h. Sort -4, -18, g.\nAnswer: -18, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-3) + 2\/3. Solve -y + n*y + 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -967 * 10.\nAnswer: -9670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121470?\nAnswer: 2, 3, 5, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {d: 7, o: 8, h: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843499.\nAnswer: 3, 947833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u**3 + u)*(2 - 2*u**2 - 2) - 4*u**5 + u**5 + 2*u**5 + 35*u**5 + 145*u**5 + 42*u**5.\nAnswer: 219*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6385.\nAnswer: 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 31231615491.\nAnswer: 31231615487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 - 3*h + 3. Suppose -3*u = -3*n + 18, 11 = -4*u - 2*n - 13. Let b(g) = 9*g**2 - 3*g + 4. Give u*b(z) + 7*v(z).\nAnswer: 2*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 187407 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-40)*(-2)\/(8\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 193*m - 340. Calculate p(-50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 38*q**2 - 11*q + 419. Let h be r(38). What is the second smallest value in h, 2, -1\/182, 0.07, -0.5?\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254760 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -404*o**2\/3 + 6062*o\/9 - 10\/9.\nAnswer: -2*(o - 5)*(606*o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 152. Suppose -s + 5*s - v = 0. Solve s = 3*b + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.01872 rounded to 2 dps?\nAnswer: -25.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:02 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 12*p**2 - 18*p**2 + 2 - 3. Let l(q) = 5*q**2 + 4*q + 1. Let s be (-5)\/((2 - 2) + -1). Determine s*l(w) + 4*m(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/15)\/(6184\/69570).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/((-8954)\/(-616))*(-3)\/2. Is p smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7932 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14514, 116025, 391538, 928053, 1812570, 3132089, 4973610?\nAnswer: 7424133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*o*z - 73*b*o - 41*b*z - 9*b - 1275*o*z + 349*z + 2 wrt b?\nAnswer: -o*z - 73*o - 41*z - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpppmaampphatm. What is prob of picking 1 j, 1 t, and 1 m?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18950112.3 hours to weeks.\nAnswer: 112798.2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21112 (base 3) to base 6\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4446591, -17786370, -40019337, -71145492, -111164835, -160077366?\nAnswer: -217883085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2800\/(-60))\/((-27)\/2835*-35*-1*2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.012189\nAnswer: 0.048756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -34. Solve m = 6*d - 2*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81490 divided by 16298?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w**2 - 6*w - 6. Let r(f) = -31*f**2 + 13*f + 13. Give -6*r(o) - 13*u(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 267.3 * 0.2.\nAnswer: 53.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 113, 253, 449, 701?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 8*i = 560. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h - 79*h = 2*x + 10, 71*h = x + 165 + 128 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(1 - 3 + 0)*(m**2 - 2*m**2 + 3*m**2).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 29\/652910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, l: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**3 - 338*j**2 - 11*j + 16. Let g(r) = -r**3 - 68*r**2 - 2*r + 3. What is -2*c(z) + 11*g(z)?\nAnswer: -z**3 - 72*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 24 = 18*h. What is the common denominator of (3 - h - 579\/(-120))*1 and 37\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -489 divided by 16885\nAnswer: -489\/16885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*148.\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-10 - (16 - 26)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 9, y: 1, i: 2, m: 2}. What is prob of picking 2 f?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -19. Suppose 6*f = o*f + 2346. Suppose 3*w = 5*y + 581, -3*w + f = 2*y + 229. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 - -133. Suppose 7*q = -20*q + 108. Sort -1, q, h in descending order.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37979 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104753 is divided by 139.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 526*m - 12 + 12 + 109*m in the form j + x*m and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2315*y + 604*y - 518138 = 2680*y for y.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byysbwyyy. What is prob of picking 2 b, 1 y, and 1 s?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*l = -6, -11 = 4*s - 2*s - 3*l. Let b = 5 + s. Which is greater: b or -2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -118. Find the second derivative of 22*i - 43*i - 64*i**2 - z*i wrt i.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 1. Let j = -789 - -787. What is the smallest value in f, -3, 0, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Suppose x + 110 = -0*x - l, y*l = 25. Let c = -38 - x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 8 = 10*c. Suppose 0 = c*b - b. Let o(s) = s**3 + s - 8. What is o(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 divided by -6?\nAnswer: 325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/((p*p**10*p)\/p))))**5 assuming p is positive.\nAnswer: p**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/8 of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*-1)\/sqrt(5))\/(sqrt(225)*-6).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15087*w - 7172 = -15250*w for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89\/4 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3602*c**3 + 6386*c - 1 - 6389*c + 1 + 3617*c**3.\nAnswer: 15*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.009, 30.4, 3, 5\/3, 1\/10 in ascending order.\nAnswer: 0.009, 1\/10, 5\/3, 3, 30.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 4. Let m be u(4). Let c be (4\/(-66) + (-534616)\/(-8976))*(8 - 4)\/56. What is the biggest value in -1, c, m, 2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**4\/4 + 2*g**3\/3 + 3*g**2\/2 + g + 5. Let h be i(3). What is the common denominator of 40\/(-25) + 0 + h and 59\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Let m(r) be the first derivative of r**4\/4 - 4*r**3\/3 + 2*r**2 - 3*r - 11. Calculate m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.38 + -1. Let w = f - 0.38. What is the second biggest value in -3, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012259 rounded to 6 dps?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -22. Let v = k - -2. What is the third derivative of -y**6 - 6*y**2 + 7*y**v + 4*y**2 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {o: 10, m: 2, r: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028282271 to the power of 1\/2, to the nearest integer?\nAnswer: 70910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4833 to two dps.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let x(u) = 4*u + 5*u - 2 - 2*u - 4. Let m(t) = 0 - t + 4 - 3. Let w(h) = -6*m(h) - x(h). Give r(w(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**6\/120 - c**5\/60 - c**4\/12 + c**3\/3 - 3*c**2. Let x be d(2). Suppose 0 = -3*a - x*n - 10, 1 = -3*a + n - 3. Is -2 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g*g**(2\/11)\/g)*g*(g\/(g*g**(-2\/3)*g*g*g))\/g)\/((g\/g**(-5))\/g**(-5)) assuming g is positive.\nAnswer: g**(-347\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -32. Let r = 40 - 22. Let k be (-136)\/36 + (-4)\/r. Sort -2, y, k in ascending order.\nAnswer: y, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7885 - 5015. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 3\/2 (b) 1457 (c) 3\/5 (d) -2 (e) 1 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 6*y + 4*y)*(-1 - y + 1) - 592*y**2 - 2 - 14053*y + 14053*y + (-1 + 3*y**2 + 1)*(0 + 2 + 0).\nAnswer: -588*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*v + 3)*(2*v**3 + 4*v - 4*v) - 173*v**4 + 82*v**4 - 146*v**4.\nAnswer: -241*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**3 + 11*p**2 - 6*p - 23. Let d(b) = 3*b**3 - 4*b**2 + 2*b + 8. Let x(f) = -17*d(f) - 6*v(f). What is the remainder when x(-2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 4. Let n be z(6). Suppose 40371598 + 24748402 = -n*j. Round j to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, -18, 0.18, -4.97 in ascending order.\nAnswer: -18, -5, -4.97, -2, 0.18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8323 or 29450?\nAnswer: 8323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -38783596 to the nearest 100000.\nAnswer: -38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093370597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let h = 6 - 1. Suppose -g = -h + 3. Is j > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -12 - 13) + 2 + 73 - 17\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 1442826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 4. Let t be a(6). Let u(p) = 12*p**2 - 27*p + 27. Let g(n) = -n**2 + 2*n - 2. Determine t*u(i) - 27*g(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:01 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3 + 33*w**2 - 93*w + 63 = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)\/p)\/p**(-2))\/(p**2)**(2\/71)*(p*p**(-6))\/p**(1\/3)*p**2*(p**(1\/11)\/p*p)\/p assuming p is positive.\nAnswer: p**(-21625\/7029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4*v - v - 11, 0 = -5*f + v + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 4.6. Let r = 246 + -247. Let i be (-3)\/r*-1*(-1)\/(-3). Which is the nearest to i? (a) 1\/2 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0, 6\/37, -1\/2?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8870 - -8863.803. What is w rounded to one dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108306391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukuuuuuuuu. What is prob of sequence kuuk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215*c**3 - 516*c**3 + 0*c - c - 8176 + 8297 wrt c?\nAnswer: -4386*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = -3. Let u = 5.12 + -0.12. What is the third biggest value in -3\/2, k, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 11, -125, -681?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100262 is divided by 33418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55386796 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56 - -11)\/(3\/(-4)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 6)*(-15*v + 15*v + 49*v)*(6*v**3 - 18*v**3 + v**3) in the form c*v**2 + w + z*v**3 + t*v + s*v**4 and give s.\nAnswer: 3773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 + -0.03. Let d = v + -0.1. Let u = -5 + 5. Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gzgg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4245?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3116 in -28, 7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 9:07 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 165*l**2 + 1517*l - 2731. Calculate o(-91).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u**3 - 4*u**2 + 2*u + 1. Let l(h) = h**3 - h**2 - 2*h. Calculate c(p) - 4*l(p).\nAnswer: 6*p**3 + 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 765 = -2*n, -5*n - 1549 = -2*y + 378. Let x = n + 762. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9107 - 9111. What is the second smallest value in s, 5, -85\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318598559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, u: 2, v: 6, p: 2, c: 3}. What is prob of sequence pcu?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4559.37 + 4559. What is the nearest to -1 in 1\/2, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 - -0.83. Let i = 1.7 - o. Which is the nearest to i? (a) -5 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*t**2 + 6*t**3 - 12*t**2 + 23*t**2 - 6 wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3673 + -3658. Solve 5*h - 5*z = 40, 13*h + 3*z = v*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from xbbkbkkxxbx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014762 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1689\/(-45) + 7)\/((-1)\/5). Let c = 4643\/30 - n. Find the common denominator of -137\/6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9801118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)\/(w\/(w\/(w\/w**21))) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.06 + -47. Let q = 1.44 + v. Which is the third smallest value? (a) q (b) 0.8 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = o - x, -4*o + 0*o - 4*x = -468. Let p(g) = -1 + o*g + 1 - 113*g. Let l(q) = 8*q**2. What is l(p(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 9*z - 2. Let y be 117\/42 - 3\/(-14). Let m be 4*(-3 + 2)*-1. Let t(u) = 1 - m*u + 4*u**2 - 2*u**2 - 4*u**2. Determine y*a(g) + 7*t(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1 - 5*k - 4 + 3*k**2 + k**3 + 3. Let b(o) = -o**2 - o + 2. Suppose -2*r + 0 = 6. Let n be b(r). Determine x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5 - 8*g - 7*g**2 - g**2 + g**3 + 0*g**3. Let o be y(9). Suppose -17 = -4*d - 3*f, o*f - 3*f - 19 = -4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 6407\/3283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7821, 18, -4, 44, 5 in ascending order.\nAnswer: -4, 3, 5, 18, 44, 7821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 36 = 24. Let b = m - -10. Solve n + 0*k + 4 = -k, -3*n - 2*k - 11 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -143*d - 1716. Let l be g(-12). Put 9, 2, -3, 10, l in ascending order.\nAnswer: -3, l, 2, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*b**3 - 67*b**2 - 108*b**2 + 175*b**2 - 4626*b**3.\nAnswer: -4785*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96806800, 193613598, 290420396, 387227194, 484033992, 580840790?\nAnswer: 677647588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3985.801 + -7.899. Round b to the nearest ten.\nAnswer: -3990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*o + 4*u, -3*u = -o + 2*u - 8. Let m = -1 + 1\/2. What is the third smallest value in m, o, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -353*z**7\/30 + 319*z**4\/2 + 1198*z**2. Find the second derivative of l(i) wrt i.\nAnswer: -29652*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 + 3*v. Let a be d(-2). Let r(w) be the first derivative of -4*w**2 + 8 + a*w**2 - 4*w - 5*w**2. What is r(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -43, 4 in decreasing order.\nAnswer: 4, 1, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -465*(-46)\/(7\/7). Let w be 1032\/c + (-2)\/23. Does 0 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 424*w - 37546. Let t be i(298). Factor -23\/6 + 1\/6*o**t - 11\/3*o.\nAnswer: (o - 23)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 2 = 0. Let g(p) = 24*p**2 + 174*p + 274. Let i be g(-5). Solve -r = i*a - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(-635*i + 9486922 - 9486922 - 3419*i).\nAnswer: 4054*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1030*s**2 + 5*s - 2. What is the hundreds digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/((g\/(g*g*g**(1\/4)\/g)*g*g)\/g))*g**(1\/3))\/((g\/(g*g*g\/g**(-4)))\/g**(-1\/3)) assuming g is positive.\nAnswer: g**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-2\/17))\/g)\/g)**47*(g\/g**(-11))\/(g**(-2\/3)\/g) assuming g is positive.\nAnswer: g**(979\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdth when four letters picked without replacement from {h: 1, q: 1, t: 1, g: 5, d: 2, m: 6}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/49253182 and -133\/8691738.\nAnswer: 147759546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002225066875 rounded to 7 dps?\nAnswer: -0.0002225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 2*l**3 - 4*l**3)*(-4 - l + 4 + (5 - 1 - 5)*(-98 + 98 + 2*l)).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 1, p: 6, j: 2, o: 3, k: 4}. Give prob of picking 1 p, 1 j, and 1 k.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*v + v**2 - 5*v**2 + 112*v + (-6*v**2 + v**2 + 0*v**2)*(1 + 2 - 1))*(0*v**3 - 4*v**3 + 5*v**3).\nAnswer: -14*v**5 - 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194915834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 141\/19 in 1\/9, -0.01, -122, -4, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5187?\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.5, -5\/179, 1, -0.21 in increasing order.\nAnswer: -0.21, -5\/179, 0.5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - k + 1844*k**2 - 917*k**2 - 926*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 238*z + 24972. Give g(-79).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10839 + 3*u + 10839.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**7\/2520 - y**6\/360 + y**5\/180 + y**2 - y. Factor m(w).\nAnswer: w**2*(w - 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1*12\/(-472)). Let s = u + -68. Suppose i = -0*i + s. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 147904780629 and 1895?\nAnswer: 147904778734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 3*l, 5*m - 4 + 3 = l. Let n = -4 + l. Solve 3*s + 2*s - 5 = n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 15 = -25. Find the common denominator of -12\/11 and ((-728)\/36)\/((-9)\/(9\/w)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1.5, -9\/7, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 18 = -2*c - 18, -2*c = -4*v - 18. Let x be (15 + -6)*(-2)\/v. Solve 22 = 4*y + 2*z, -y + 3*z = 3*y + x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 18*v**2 - 2291*v + 2289. Determine b(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k + 2*n = -24, 4*k + n = -57. Is (-1 - 0)*315\/k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -30*f + 45. Let p be n(5). Let i = -351 - p. Does i = -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -602565*a**5 + 4*a**3 - 147*a**2 + 20248*a?\nAnswer: -36153900*a**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11945066753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 86.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (2 - 1) + -1. Suppose 37 = -29*o + 50*o - 5. Suppose k = -o*f - 4*f + 216. What is the remainder when 142 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 43 + 40 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 39663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.42*-8729.\nAnswer: 3666.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89.2 + 89. Let b = -16 + 11. Is b at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -622, -1154, -1836, -2668, -3650?\nAnswer: -4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 390649\/288432 - 4\/18027. Calculate the common denominator of b and (33\/(-54))\/(4\/5).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226532 divided by 754?\nAnswer: 8258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 3)*(-3)\/(-6). Let u(h) = -h + 3 - s + 4 - 1. Give u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -53.\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + sqrt(5) + sqrt(5)*-3.\nAnswer: -2*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*n - 253. Let k = n - 24. Suppose 2*j + 16 = 72. Calculate the greatest common divisor of k and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 252\/(-105) + 20176\/4940. Let 0 - 8\/19*x**2 - r*x**3 - 10\/19*x**4 + 0*x + 14\/19*x**5 = 0. Calculate x.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, -82, -464, -982, -1624?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x - 1473754 = 43*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c5f5 + -4f?\nAnswer: -1c644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8503, -8502, -8491, -8464, -8415, -8338?\nAnswer: -8227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (6\/10)\/(177\/(-90) + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4036 - 1060. Let o = a - 1899. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -6. Let y(l) be the second derivative of -l**4\/12 - l**3\/6 + l**2\/2 + 61*l. Let a be y(0). Put -0.01, b, a in decreasing order.\nAnswer: a, -0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvzzn. Give prob of sequence qzzv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001011 - -10000100111111101?\nAnswer: 10000110111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*s**3 + 48*s**3 + 17*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35119064 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3*j - 1. Let c be s(-3). Let d(b) = -3*b**4 - 43*b**2 + 91. Let r(p) = -1. Let v(i) = c*d(i) + 5*r(i). Differentiate v(t) wrt t.\nAnswer: 12*t**3 + 86*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 smaller than -216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 + 1 + 0. Let h = 925 + -920. Which is the nearest to 4? (a) q (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-26) - (-1412)\/52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*j + 5 = 0, -7*q + 6 = 5*j - 5. Suppose 2*i + 64 = 4*t, t - q*i - 9 - 7 = 0. Suppose -16\/3*g + t + 4\/9*g**2 = 0. Calculate g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3217?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -11 in increasing order.\nAnswer: -11, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4727)\/(-815) + -11)\/((-18)\/10 + 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/(m**12\/m))\/m*m)\/m*m**14 assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(5) - sqrt(25)\/sqrt(5)) + sqrt(5)) - (-4 + sqrt(5) + -1).\nAnswer: -7*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = -5. Let j(n) = -913*n - 1. Let l be j(d). Calculate the common denominator of 19 and l\/(-18)*(-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/17))**(-2\/109))**(-9) assuming r is positive.\nAnswer: r**(-72\/1853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-15) - 1*(-25427)\/15. Suppose 12*d - j = -5703. Round d to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 151 = -5*v, -2*v + 31658*s - 74 = 31653*s for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 19*s - 14*s - 16*s + (-1 + 1 - 2*s)*(-1 + 1 - 1))*(3 + 0 - 6) as b + p*s and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -792, -1187, -1582, -1977?\nAnswer: -2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1331 and 35596?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 2*g, -3*y + 15 = 2*y - 3*g. Let x(j) = j - 5. Let h be x(y). Let c = h - -14. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/8*(-18)\/(-15). Suppose -3*z + 3*x = -130491, 217491 = 6*z - z - n*x. What is z rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1752 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*z**5 - 2*z**3 - 151*z**2.\nAnswer: -840*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 7*h**2 - 6*h - 6. Let k(n) = n**3 - 4*n**2 - 5*n - 6. Suppose 0 = -2*l - 6 + 16. Let f be k(l). Let o be y(f). Is 0 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = -i + 12, 4*i = -3*q + 13. Suppose -3*a - i = g, g - 6*g = 5*a - 45. Suppose 2*f - g = 2. What is f rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325054089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -4 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) 1\/5 (c) 0.7 (d) -3 (e) 11\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/480 and -67\/12.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121570111633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-4)*(-4 - 236\/8). Let a be 3*r + (2 - -5) + -8. Let b = -392 + a. What is b rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 60. Let m = f + -18. Let z = 5 - -20. Solve -5*y + m*y = 3*g - z, -3*y + 15 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7160 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57453280 to the nearest integer?\nAnswer: 7580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 23 - (-14 - -9). Let i = 31 - t. Solve i*h - 7*h = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose 2*u = -m*u + 48. Suppose 0 = -4*c + 20 + u. What is the highest common divisor of 32 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1188*b. Let c(j) = 2*j. Let u(w) = w. Let f(x) = c(x) - u(x). Determine f(n(s)).\nAnswer: -1188*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-10)\/(-15)*(-82 + 46).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -89. Which is bigger: -58 or g?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/4 + 1\/2. Let w be 2\/s*-9 + 1. Let g be (-28)\/w + (-8)\/40. Is -4 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = w - 34, 53*w = t + 55*w - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -99*b - 361. Let p(j) = -30*j - 109. Let o(f) = 209*f + 759. Let n(a) = 3*o(a) + 22*p(a). Let i(d) = -8*n(d) + 3*v(d). Differentiate i(c) wrt c.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132266 (base 7) in base 4?\nAnswer: 12010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132.79 + -132. Let q = 36.79 - g. Let b = 35.8 - q. What is the second biggest value in -0.4, b, 4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, -2, -30 in ascending order.\nAnswer: -30, -2, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 8 - (7 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*(-632)\/2432*8\/1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 90*d**3 - 165*d**2 - 80*d.\nAnswer: -5*d*(d + 1)**2*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 172*a**2 + 10696*a - 91520.\nAnswer: -4*(a - 26)*(a - 11)*(a + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 - 9*l + 15. Suppose 0 = -r + 3*g + 14, 0 = 4*r - r + 5*g + 14. Suppose r*p - 20 = w, -4*p - w = p - 43. Does 5 divide j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 4219*k - 121468. What is c(29)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(12\/(-63))*((-68850)\/170)\/135\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56790 + 67462 = 4648*w + 16841 - 36677 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-21)*(-2079)\/(-1485)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*n + 82 = 0, -5*a - 1077*n = -1073*n + 210 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssr when four letters picked without replacement from ssscsrccsccss.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 222781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(63)\/(sqrt(9)*-1) + -3).\nAnswer: -6 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:14 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3\/3 + 3*z**2 - z + 2. Let k = 21 - 15. Let h be t(k). What is the second smallest value in -3, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 x, and 1 k when four letters picked without replacement from {z: 1, t: 2, k: 2, o: 6, x: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133 + 133 + 6*w)*(5 - 2*w**3 + 0*w**3 - 2).\nAnswer: -12*w**4 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/20558 and -49\/38.\nAnswer: 20558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -66. What is the fourth smallest value in 1\/9, j, -126\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5941954622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Suppose 3*b - 12 = -0*b. Let d be (-3)\/((-30)\/b)*-5. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.253 + 2796.253. What is the biggest value in 1\/2, y, -1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.003367 centuries to decades.\nAnswer: 10.03367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1. Let v(d) = -2*d + 12. Give 4*r(y) - v(y).\nAnswer: 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 + 0.17. Let v = -0.2 + q. Let p = v - 4.08. What is the second biggest value in -2, p, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmhzzzzzmzzyzyz. Give prob of sequence mz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 134022 at least as big as 134039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165334278?\nAnswer: 2, 582667139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**6\/24 - b**5\/5 + b**4\/4 + b**3\/6 - 5*b**2\/8 + b\/2 - 22. Determine h so that j(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2681 and 93327142?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + -10 + -2 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-2)**2*-3 + sqrt(88)\/sqrt(2) + (sqrt(22) - (sqrt(22) - ((sqrt(88) - sqrt(88)*-1 - sqrt(22)) + sqrt(22))))\/(sqrt(98)*2) + 1.\nAnswer: -131 + 16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*sqrt(99).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.03 (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63014 and 1608786.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 + -11 - 29) + (5 - 55).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u + 6. Let j(q) = -19*q - 13. Let p(x) = 6*j(x) + 13*y(x). Let a(n) = -23*n - 26*n + 81*n - 17*n. Give a(p(f)).\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 17, 38?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55.54439 centimeters?\nAnswer: 0.0005554439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2))**(-46)*s*s**3*s**(-16) assuming s is positive.\nAnswer: s**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2*h**5\/5 - h**4\/6 - 11*h**3\/6 - 4*h**2 - 36*h + 2. Let v(d) be the first derivative of l(d). Is v(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 27. What is the closest to 0 in -2\/11, 0.2, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 87705006*q**3 + 1282028012910006*q**2 - 6246681920246675205002*q = 0.\nAnswer: 0, 14617501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*m + 66*m - 457*m)*(-m**2 - m**2 + 0*m**2).\nAnswer: 1164*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.35, 74, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 350134106 a multiple of 2282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 119 = 9*a - 560 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {t: 2, w: 2, v: 2, g: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0 = 4, -2 = -2*j - 5*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + ((sqrt(162) - -2*sqrt(162))*6)**2.\nAnswer: 52478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/9, -4, -1.86814?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(4*n + 45 - 45 - 3*n + 2*n + 2*n + n + n - n + (-4 + 3 - 1)*(0 - 2*n + 0) - 2*n - 3*n + 3*n) - 1 - 3*n - 2*n + 2*n.\nAnswer: 13*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/(-14) + (-14)\/49. Let k be o + -7 + 4 + 0. Solve 5*n - 5*r = k, 2*n + r - 7 = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33163411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812037 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-16))\/(-1)*(-132)\/990.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-20 - -11) + 10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5.3. Let q = k + 1.9. Which is the closest to 2\/7? (a) -1\/4 (b) q (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*o**2 - 59*o - 12032 wrt o.\nAnswer: -26*o - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(((d\/(d**0*d))\/d)\/d)))**(-29)*d*d\/(d\/(d*d\/d**3*d)*d)*d*d\/(d**(-1)*d) assuming d is positive.\nAnswer: d**89","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {t: 1, h: 1, k: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*c + 416 + 43 - 75 = 0. Let f(j) = 2*j**3 - 3*j**2 + 3*j. Determine f(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402962?\nAnswer: 2, 7, 107, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 153*y**2 - y - 1. Let r be c(-1). Suppose -u = -5*q + 8, -4*u - 2*q + 58 = -4*q. What is the greatest common factor of u and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/120*(-5)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236*h**3*o**3 + 19*h**3 - 5*h**2*o**2 - h**2 - h*o**3 - 3*h*o**2 + 16403*h*o - h + 779824*o**3 wrt o.\nAnswer: 1416*h**3 - 6*h + 4678944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 - -5*(-6)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(425)*1)**2 + (sqrt(17) + 0 - sqrt(17))**2*6 - (0 + sqrt(833) + (sqrt(68)*1)\/sqrt(4))**2) + 5.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*p - 11695 = 0, -13*v + 3*p = -11*v - 4678. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442029209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -159*q**7\/35 - 1469*q**4\/24 + q**3\/3 - 7*q**2 - 61*q. What is the second derivative of v(l) wrt l?\nAnswer: -11448*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = 2*f - 197 + 334 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (6 - 11)) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.117988 litres in millilitres?\nAnswer: 3117.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -16*k + 28*k + 5*b - 65, 0*b - 3*b + 4 + 17 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6339, -5728, -4719, -3318, -1531, 636, 3177, 6086?\n\"Answer: -c**3 + 205*c**2 + 3*c - 6546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 11:08 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) -1\/9 (b) -1\/3 (c) -37\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4664 divide 452358805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34646214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -193*j**3 + j**2 - 6*j - 6. What are the prime factors of k(-1)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -44, 19, -1, -7 in increasing order.\nAnswer: -44, -7, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = 3*r. Suppose -r*l + 0*l = 0. Is 16 a factor of 85\/5 + -1 + l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m - 85 = -0*v + 3*v + 42*m, -2*m = -5*v + 3*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 221*x**2 + 1271*x - 280900. Calculate t(221).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 6556?\nAnswer: -6555.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22099557 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -52*c**2. Let p(q) = -178*q**2 - 5. What is p(j(w))?\nAnswer: -481312*w**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -336588 - -2?\nAnswer: -336586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2138 from -150.\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, v: 3}. Give prob of picking 1 z and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 1 + 1 + 1 - 1 + 2*n + 4*n - 3*n + 0*n + (2 - 4 + 0)*(-1 + 1 - 2*n))*(-5 - 10 + 1)*(-2*n + 0*n + n).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q. Let g(u) = u + 21. Let o(j) = -j + 9. Let f(w) = -3*g(w) + 7*o(w). Determine m(f(i)).\nAnswer: 100*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = 4*d + 4, 16 = -d + 4*u. Solve d = -g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w + 8. Let n be (-2)\/w + 1\/(-4). Suppose j + 5 = 2*a - 2, n = 3*a + j - 13. Solve -b + a = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 7831204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -106, -236, -476, -862, -1430, -2216, -3256?\n\"Answer: -6*z**3 - z**2 - 11*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -148. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -251? (a) -0.6 (b) -2\/19 (c) -4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2 - 250*z - 34720 = 0.\nAnswer: -62, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 3*d + 8*j + 73 - 167, 2*d - 16 = -j for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/87)\/x)\/x*x**(5\/2)*x\/x**(7\/9)*x\/(x**(17\/2)*x)*x assuming x is positive.\nAnswer: x**(-1775\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12432 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**23\/(s*s**(2\/77)\/s*s*s*s)*s**16\/s**(3\/29) assuming s is positive.\nAnswer: s**(80099\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 236297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -2 - (2 - 4). Let u(f) = -f**3 - 3*f**2 + 3*f + 5. Let j be u(n). What is the first derivative of -j*g**4 - 3*g**4 + 2 + 4*g**4 + 2 wrt g?\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.7. Let r = 0.1 + d. Let z = 182 + -183. Sort -1\/7, r, z in increasing order.\nAnswer: z, r, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.04 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - p = -5, 0*i + 4*p = -3*i + 13. Which is the third smallest value? (a) 1\/4 (b) -3 (c) i (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(0 - 3 - 5)*(27*v**2 - 34*v**4 - 27*v**2).\nAnswer: -544*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 1, f: 4, z: 4, j: 3, m: 1}. Give prob of sequence kfc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3696)\/(-96) + -38)*-40\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238193, 476393, 714595, 952799, 1191005, 1429213?\n\"Answer: h**2 + 238197*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/150 + (-6)\/(-45).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 802 - 814. Let l(f) = -f + 1. Let v(u) = -u**3 - 12*u**2 + 5*u + 8. Let g(r) = -4*l(r) - v(r). Determine g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 62. What is the remainder when 38 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 = m + m. What are the prime factors of m?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 63*k**3 - k - 1. Let h be s(-1). Let m = h - -68. Let q = 5 + 3. Which is the second biggest value? (a) 2 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 3*(-3 + 2). Let d be q\/20 + (-14)\/(-8). Suppose -5*z - d*f + 144 = 0, z + 5*f - 29 = 9. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -598170 + 1047607. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*o + 23, 0*v - 3*v + 4 = 2*o. Suppose -2*i = -5 - 5. Let b(m) = -2*m - 1 + 0*m + i*m. What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 116, -200, -516, -832, -1148, -1464?\n\"Answer: -316*s + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64379639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -1 (c) 12.1 (d) 0.655 (e) 0.3 (f) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {a: 10, t: 1, q: 2, z: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 18, z: 1}. What is prob of sequence az?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -5025799.\nAnswer: 8\/5025799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*v = -28, 4*v + 8 = -3*w - v. Find the common denominator of (-678)\/(-220) - 8\/44 and (-154)\/20 + -6 + w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d - 20 = -u, 4*d - 3*u = 31. Let p be 1\/2 - 7\/(-2). Suppose p*y - 1 = d, 2*j - y = 2. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*4*(-2)\/(-8). Suppose p = -2*n - 4. Sort n, 11, 3 in ascending order.\nAnswer: n, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18870 in 5, 0.049, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111110100 - 111100100101?\nAnswer: 101011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*t = -110*t - 27. Which is smaller: -11 or t?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 335.6724 nanoseconds?\nAnswer: 0.00000000559454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6180 and 1319827065.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9\/31, 0.4 in ascending order.\nAnswer: -1, -9\/31, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 6 + 3 - 10.\nAnswer: -v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1345590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 1401 = -608 - 643. Let y be (1 + 12)*(1 - -2). Calculate the greatest common divisor of y and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 - (-1 - 1). Let k be 45\/27 - d\/6. Let y(a) = a**3 - 9*a**2 + 9*a - 4. Let z be y(8). Sort z, k, 2 in increasing order.\nAnswer: k, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 712*w**2 + 4*w**3 - 2*w**3 - 514*w**2 + w + w in the form p*w**2 + h*w + v + y*w**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000463307413 to seven decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 11*n. Let m(r) = -29*r + 6*r - 8*r**2 + 1 + 4*r**2. Let i(z) = -9*k(z) + 4*m(z). Let v be i(-3). Put -2\/5, v, 0.4 in increasing order.\nAnswer: -2\/5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-955)\/4966*26*(-26)\/(-30)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/((x*x\/x**3)\/x))*x**(5\/4))\/(x**(-1\/3)\/(x*(x\/(x\/x**5))\/x*x)) assuming x is positive.\nAnswer: x**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8471 + -8474. Which is the closest to x? (a) 3\/13 (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1592592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79637?\nAnswer: 97, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 50, 64, 68, 62, 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*-1*(-16)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3*-6 + sqrt(11) + 6*-2*sqrt(11) + ((sqrt(1331) + 1*sqrt(1331) - sqrt(1331)) + sqrt(1331) + 0 - sqrt(1331) - 3*sqrt(1331)*2))**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18033 - -176b?\nAnswer: 197a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p. Let h be o(-1). Let y = h - -9. Suppose m + 22 = -5*c + y, -3*m - 2*c - 2 = 0. Solve -10 = -4*f + m*u - 4, 5*f - 12 = 4*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 + 2062 = -2*m. Let c = 4866\/7 + m. Let y = -125\/21 + 2033\/84. Calculate the common denominator of y and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 - 2)*(-1386)\/(-315). Let d = -96 + 187. Let x = d - k. Solve -3 + 7 = -h, 5*u - 5*h - x = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10000000*s. Let z = 4 - -4. Let d be (z\/6)\/((-24)\/(-18)). Let g be m(d). What is g rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -22 + 11 - (-19 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 23967.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12990, -13020, -13050, -13080?\n\"Answer: -30*v - 12960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (-28 + -37 + 57).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2466 + 3?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {u: 2, a: 9, f: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*w = 180, 2*w + 15 = 7*w. Suppose 4*u - 51 = 369. What is the greatest common divisor of j and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*j**2 - 348*j**2 + 187*j**2.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/7)*h)**9\/(h\/(h\/(h**(-7)\/h))*h*h\/h**2) assuming h is positive.\nAnswer: h**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*f = 627*f - 299*f - 5*n + 5, 5*f - 4*n = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1231221?\nAnswer: -1231231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 67 = -3*x, 80 = -3*n - 7*x + 193 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9562011 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - b**2 - b - 1. Let o be i(-1). Let a be (4 - (o + 8))*0. Let r be (-4)\/(-6)*6\/(-182). Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34838 less than -547675?\nAnswer: -547675.34838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 2, n: 9, g: 1}. What is prob of sequence gj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-2))\/((-8 - -6) + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 2:52 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53440 and 1600.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 - 2*v**4 - 4*v**4 - 2*v**2)*(-2*v + 0*v + v + 4*v - 3*v + 0*v + (-1 + 4 - 1)*(v + 2 - 2) + 2*v - 2*v + 2*v + 0 + 0 - 2*v + 2*v + 4*v - 3*v).\nAnswer: -15*v**5 - 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27620771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*((-14924)\/49)\/82.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ae549a + -1?\nAnswer: -2ae549b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1362 from -82263.\nAnswer: -83625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -16. Suppose -s = 3*s - a, 4*w - 100 = 3*s. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.769 - -42.911. Let n = -3.552 + b. Let r = n - 37. What is r rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*g + 402 = 0. Suppose g = 5*z - 103. Is 34 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32976.231 - 32959. Let h = -0.131 + i. Round h to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/2 + 943024*g + 1886047\/2 = 0 for g.\nAnswer: -1886047, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklplpvllkvkpkk. Give prob of sequence klp.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 - 4923 = 104*n + 42*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from mmptm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1437 - -1438. Sort -0.5, 19, f, -1\/5.\nAnswer: -0.5, -1\/5, f, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 6*r - 3. Let f be p(-2). Suppose -4*y + 245881 = -y + k, 2*y = f*k + 163898. Let v = y + -281959. What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v + 1173. Let x be u(53). Solve x = 11*c + 38 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.4 (b) -0.049 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 5 - 7) + -25123. What is j rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.027 - -0.087. Put z, 1, 0.3, 5 in descending order.\nAnswer: 5, 1, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8219461 - -0.2\nAnswer: 1.0219461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -53, -148, -331, -632, -1081, -1708?\nAnswer: -2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -572, -3844, -12762, -30158, -58864?\n\"Answer: -472*b**3 + 9*b**2 + 5*b - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -14. Find the first derivative of -2 - i**2 + 5 + 2 + y*i**2 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482 - 1160 = 46*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 1324 = 809. Let p = 400 + n. What are the prime factors of p?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1)**(5\/12))**33)**(1\/5) assuming a is positive.\nAnswer: a**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*j + 1 - 21, 4*j = 3*c - 35. Suppose 7*m + 4 = 18. What is the remainder when c is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87871 to the nearest 1000.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 13. What is the remainder when 554 is divided by 4*(17\/o + 5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j + 3. Let g be -8*1*(-2)\/4. Let v be (-2)\/(-3 + 1) - g. Let x = v + -1. What is o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*o - 2531 + 2408 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:09 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-2)\/4). Let l be b\/(-3) - 385\/(-15). What is the remainder when (-4)\/(-8) + l\/4 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 + -196.7. Let x = -14.057 + 0.057. Let d = x - o. What is the closest to -1\/3 in d, -5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - (2 - 12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -53.1. Let o = -1 + -1. What is the closest to 0.1 in 5, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 15294337 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 64*w**2 - 12 + 77*w**2 - 49*w**2.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -184422 + 2?\nAnswer: -184420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16258727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/s)**45\/((s*s**(-2\/13)*s)\/s*(s**(-7)*s)\/s*s) assuming s is positive.\nAnswer: s**(-1487\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 157*0.3\nAnswer: 47.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 6) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -4, 29 in increasing order.\nAnswer: -96, -4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19434*u + 19458*u + 6237 = 38973*u for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.277 + -47.31. Let p = -19 - x. Let t = 0.03339 - p. Round t to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 305*a - 13*a - 290*a.\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 111, 746, 2473, 5838, 11387, 19666?\n\"Answer: 91*a**3 - 2*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*h**4 - 2*h**3 + 9*h**2 + 362*h + 121454495?\nAnswer: 184*h**3 - 6*h**2 + 18*h + 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 2*l - 4*y + 17, l - 35 = -4*y. Let s(m) = -m**2 - 13*m + 19. Calculate the remainder when l is divided by s(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*u - l, 3*u - 2*u - 17 = 4*l. Suppose 2*c = -4*i - 10, -3*c + u*i = i - 25. What is the greatest common factor of c and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (sqrt(252) - (-2*(sqrt(252) - sqrt(252)*1) + sqrt(252)))) - -6*(3*sqrt(252) + 0 + 0))**2.\nAnswer: -3888*sqrt(7) + 81972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/13 - 28*s**4\/13 + 114*s**3\/13 - 152*s**2\/13 + 64*s\/13 = 0.\nAnswer: 0, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.957218 + -67.503\nAnswer: -68.460218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t + 7 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - 3*c + 4. Let h be z(-6). Let m = 359 - h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5854865?\nAnswer: 5, 59, 89, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 5 - (-10 + 252\/27)*-6. Is 4\/4361 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 142 = 0. Calculate the remainder when m is divided by (-8)\/((-4 - -5)\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, 98, 291, 544, 857?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**3 + 5*t. Let p(d) = -13*d**3 - 7*d. Suppose 6 = h - 5*i - 4, -2*h + 9 = i. Suppose h*n - 25 = -0. Calculate n*p(y) + 7*o(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + 4 - (1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21074)\/164 + ((-12)\/8)\/(-1). Sort 0, r, 2 in descending order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 94170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72402.64um to millimeters.\nAnswer: 72.40264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 15) to base 2\nAnswer: 1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90dd + -14?\nAnswer: -9102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 300 - -50. Let n = u + 95. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.04, -0.5, -83 in increasing order.\nAnswer: -83, -0.5, -1\/4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22152 and 454272?\nAnswer: 32253312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3.9. What is the third smallest value in -3, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 12 + 9. Suppose n - 1 - u = 0. Solve -n*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12516, -25679, -38834, -51981, -65120, -78251?\n\"Answer: 4*i**2 - 13175*i + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503343688 divided by -386296?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 0*m - 2*m + 0*m + 2*m - 3*m + (-3 + 1 + 1)*(-3*m - 2*m + 6*m) + 20*m - 14*m - 7*m - 143.\nAnswer: -4*m - 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167801950 divided by 5.\nAnswer: -33560390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5297*z + 3 = -5298*z + 9. Let t(u) = -3*u - 12. Let i(p) be the second derivative of 2*p + 1\/6*p**3 + 0 + 2*p**2. Give z*t(x) + 17*i(x).\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Suppose v*x + 3*x = 204. Is 14 a factor of -4*4\/(-16) + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -15, 0*n + 3*n - 413 = -2*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-76))\/(18\/((-432)\/(-4)))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190514611.\nAnswer: 7, 27216373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16983311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*m + 1 + 35*m - 3 - 68*m + 52*m**2 in the form f*m**2 + w + v*m and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*q**6 + 2*b*q**2 - 12*b*q + 2*b - 10*q**6 wrt q.\nAnswer: -120*b*q**3 - 1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgsvfbvgbffvbvgssgfa. What is prob of sequence favv?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46492759 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 450 = 10*o + 11*o. Which is the nearest to o? (a) 12 (b) -1\/4 (c) 1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-11)*4*4\/32\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 803 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 5, 11 in ascending order.\nAnswer: -5, -4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 13*g**2 + 2*g - 16. Let t be w(6). Suppose 3*j + 3*c = 138, 4*j - 212 = -3*c - t. Calculate the highest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1407 >= -7888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:53 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*x + 3*g + 10, -4*x + 2*g = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - -569?\nAnswer: 5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 24*p**2 + 26*p**2 - 3 - 12*p**2 in the form q*p + r*p**3 + h*p**2 + o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 - 14 = 0. Let y(t) = 3*t**2 + t. Calculate the remainder when 53 is divided by y(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + -9. Let d = -27 - o. Suppose d*g = -3*b + 48, 0 = 5*b - 5*g - 52 - 58. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(396) + (-3*sqrt(396) - sqrt(396))*6))\/(sqrt(64)*-1 + ((sqrt(176) + sqrt(176) + sqrt(176)*1 + sqrt(176))\/sqrt(11) - sqrt(16))).\nAnswer: 345*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 10. Let b(p) be the first derivative of -3*p**2 + p - 2 + 2*p**2 + p**2 + p**2. Determine b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -28*v + 615. What is the remainder when 199 is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*i - 2*m, 4 = -19*i + 18*i - 4*m. Calculate the remainder when (-1 + -2)\/3 + 19 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isi when three letters picked without replacement from isdi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 s when three letters picked without replacement from bbbbsbsssbbbbbbssbs?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-4)*(-2 - -8). Suppose -n = -5*a + 91. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4*(sqrt(72) + sqrt(72)*-1) - (-2 + sqrt(72))*-5*-1) + 4)**2*2*6.\nAnswer: -10080*sqrt(2) + 23952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 732*v - 731*v. Suppose -12*j + v*j + 156 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/(113\/(-8588))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36767011905 take away 0.5?\nAnswer: 36767011904.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 41230?\nAnswer: 82460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011212200220 (base 3) in base 2?\nAnswer: -100011010111011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69)\/(-17) - (22 - (-2984)\/(-136)). Let i(x) be the third derivative of -x**4\/6 + 5*x**3\/6 - x**2. Determine i(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -691, -655, -599, -517, -403?\n\"Answer: y**3 + 4*y**2 + 17*y - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -1*sqrt(152))\/(sqrt(18)\/sqrt(36)) + (sqrt(19) - (sqrt(475) + 3) - ((sqrt(209)*-2)\/sqrt(11) + sqrt(19))).\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -31*c**2 + 402*c + 2324. Give m(-6).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d42a9 (base 15) in base 11?\nAnswer: -1267134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 79 - 2) + -658 + 676 + -7.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = 7 + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 + 7*j - 9. Determine a(-6).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.212 * 3\nAnswer: 0.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 3. Let s = -15 - -6. Let y = 12 + s. Give v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -5*z. Solve 21 = -4*v - n - 0, 4*v + z*n = -22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6260570*w**5 + 7*w**3 - 11852288*w + 8.\nAnswer: 125211400*w**3 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = z - 74, -4*z + 329 = -0*z + 3*h. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k**2 + 554 - 474 - 49 - 5*k**2 - 33.\nAnswer: -77*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53561643 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (2 + (3 - 11)). Suppose b*v = -0*v + 12. Suppose -v*m - 2*y + 8 = 0, -5*y = 2*m - 14 - 6. Are m and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 625*y**4 - 8125*y**3 + 33925*y**2 - 40215*y - 22050 = 0.\nAnswer: -2\/5, 21\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let i = 31 - 36. Let q be v(i). Put q, -2, -7 in descending order.\nAnswer: q, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5, -4*m + 3*v + 73 = -0*v. Let z(f) = f**2 - f - 4. Let r be z(3). Suppose o - r*o = -m. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7\/14)\/((-8)\/80) + 973 is divided by 229.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*d, 21*p - 18*p = 5*d + 33259. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5838 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**2\/2 - 6*p - 8. Suppose 0 = -n - 2*n. Calculate h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.591504 micrometers in centimeters?\nAnswer: 0.0009591504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 56*y - 51*y - 5, 0 = 5*y + n - 15. Let a = y - -1003. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 - 276*m**3 + 9514*m**2 + 1104*m - 38088 = 0.\nAnswer: -2, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 - -251.6. Let p = -14.2 - f. Which is smaller: 98 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, o: 4, w: 4}. Give prob of picking 1 o and 2 x.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(1053) - ((sqrt(1053) - -2*sqrt(1053)) + sqrt(1053)))**2 + -4 + 0.\nAnswer: -9478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - (-78)\/15. Suppose 4*z - x*z = -102. Suppose -3*j + 5*j = z. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*n - 13. Suppose 0 = 5*m - 6*m - n. Let c be (-2 - (m - 3))*51. What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 30 = -46 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 3 = 2*k. Let h = -7 - k. Suppose h*m = 2*m - 8. Solve 4*q + a + 36 = -m*a, -5*a = q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 482.\nAnswer: 192.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 - (-3438 - 108\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601412.\nAnswer: 2, 3, 133451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 109. Suppose -4*i + 3*w + 48 = -i, -5*i + w + r = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -59. Suppose j*f - 11*f + 557 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/(-4))\/((-49317)\/19340)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -452, 1, 762.\nAnswer: -452, 0, 1, 8, 762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o + 1. Let g(a) = -17*a + 2. Let q(n) = -5*g(n) + 8*w(n). What is the units digit of q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46724.3923 to 0 dps.\nAnswer: 46724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -12*x**6 + 8448*x**5\/5 - 122473*x**4\/2 - 56562*x**3 + 38409*x**2 - 6962*x + 918. Suppose m(i) = 0. Calculate i.\nAnswer: -1, 1\/6, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 11*j**7\/105 - j**5\/5 + 241*j**4\/24 - j**3\/6 + 618*j**2 + 2*j. Find the second derivative of z(p) wrt p.\nAnswer: 264*p**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s**2 - 43*s**2 - 2*s**2 + 8*s**2 in the form p*s**2 + g*s + z and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*d + 2. Suppose d*t - 8*t + 50 = 0. Let l be 40\/24 + (-1)\/(-3). Solve -3*c = l*c - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2640 + 21?\nAnswer: 2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 12 = 3*x - 4*x, -3*p + 4*x = -3. What is the nearest to -2\/13 in 0, 5, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/60 + x**3\/6 - 2*x**2. Let w(t) = -2*t**2 - 2*t - 2. Determine 4*c(g) + w(g).\nAnswer: 2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 234, 5, 4 in descending order.\nAnswer: 234, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13855 is divided by 132?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/7 + 64*k**3 + 21594*k**2\/7 - 58820*k - 129472 = 0. Calculate k.\nAnswer: -119, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9667123, -3\/2, 0.061?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.2. Suppose -4*u + 10 = 3*m - 6*u, -5*u = -5. Let j = 8 - m. What is the third biggest value in k, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, 10 in decreasing order.\nAnswer: 10, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.1. Let u = d + -0.2. Let n(x) = x**3 + 5*x**2 + 6*x + 5. Let f be n(-4). Put f, 1\/3, u in ascending order.\nAnswer: f, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7380*g**2 - 7383*g**2 - 7*g - 7*g - 5*g + 19*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 1012.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 223.\nAnswer: -5, -4, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -136*n. Let p be -167*(-3 - -1) - (1 - -4). Let m(g) = -p*g + 662*g - 331*g. Give m(t(j)).\nAnswer: -272*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 5 + 4*s**2 - 3*s**2 + 0*s. Let d(g) = g**2 - 3*g - 5. Let w be d(5). What is a(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.3. Let a = -15140 - -15043. Are a and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103*-718\nAnswer: -73954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 43. What is the tens digit of (h - 1) + 21 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*t**4 + 17 - 17 + (-2*t + t - t)*(0*t**3 - 2*t**3 + t**3) + 3*t**4 + 0*t**4 - 5*t**4.\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15922397 is divided by 657.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8825080 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462 is divided by 615.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42117?\nAnswer: 3, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12\/((o**(1\/80)*o)\/o)*o**(-2\/7)\/(o**(-15)\/o))**37 assuming o is positive.\nAnswer: o**(573981\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161477 or 161478?\nAnswer: 161478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 1. Let b(g) = -13*g**3 - 2*g**2 - 2. Let u(f) = b(f) - 3*q(f). Let l be u(2). Let i = 145 + l. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 59, 2\/23, 16, 2, 3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132770067 is divided by 2924?\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20626 - 101?\nAnswer: -20727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -33*d**4\/4 - 2*d**2 + 35*d - 25. Let w(y) = 34*y**3 + 6*y - 34. Let p(z) = -3*s(z) - 2*w(z). Differentiate p(g) wrt g.\nAnswer: 93*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-2)\/(-6)). Let j be (s\/(-6))\/(440\/60). Let z = -0.35 + -0.05. Sort 2, j, z.\nAnswer: z, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose 4*u - 68 + 5 = 3*g, -c*u + 5*g = -50. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 2*k**7\/105 - k**6\/15 + k**5\/15 - 8*k**2. Let h(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 10) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 5*p + 4. What is the remainder when j(-8) is divided by (10 + (-46)\/3)*-6?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -l + 5, 5*z + l - 6 = -1. Suppose 2*h - 62 = -4*n, z = 5*h - 2*n - n - 103. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, 29\/5, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 4*m + 1. Let y(k) = 2*k**2 - 13*k + 1038. Determine -3*i(p) - y(p).\nAnswer: p**2 + p - 1041","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbrroobrbroobbr. What is prob of sequence aobb?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3489620.\nAnswer: 2, 5, 174481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12c4 (base 13) in base 16?\nAnswer: -a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/42*-4*(-3)\/(-8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 27 - 90 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2 - 2315*u - 30264 = 0.\nAnswer: -13, 2328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011011111 (base 2) in base 13?\nAnswer: -3497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-4)\/(-48))\/(-28 - -29))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3391 - -13555\/30519. Which is the fourth biggest value? (a) x (b) -19 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.41 + -1.27. Round r to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 892, 3639, 8226, 14659, 22944, 33087?\nAnswer: 45094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 62*d - d**3 - 22*d - 40*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 12:25 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(-3)*((-3)\/(-15))\/(105\/140)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-6)*18\/(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from xwxxwxxxxwxxwx?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 - 2*a**2. Let j be q(0). Is (14\/(-1))\/(j + -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 8. Suppose -41*n + 46*n = o - 80, -2*n - 3*o - 15 = 0. Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/(-6))\/(-14 + (-1896)\/(-1008)*7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 4*b + 4*b + (4*b - 2*b - 4*b)*(-1 + 1 - 2*b**3) + 295298*b**3 + 54*b + 7*b**4 - 295298*b**3 as w*b**2 + t + x*b + c*b**4 + y*b**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 4, j: 5}. What is prob of sequence ej?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 14*x + 74*x + 3339 = 20*x for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308716017?\nAnswer: 3, 102905339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -74\/159, -6, 2\/7, 0.5, -0.4, 0.3, 6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093 times -11?\nAnswer: -1.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmww when four letters picked without replacement from {f: 1, m: 1, w: 2, z: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21 - ((-9664)\/(-1008) + -10)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 202, 168, 120, 58, -18, -108?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*7 + (62\/(-8) - (-24)\/(-96)). What is the fourth biggest value in 1\/17, k, 1, 154?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**24*(f**(-1)\/f*f)\/(f\/(f\/(f\/((f**(2\/33)*f)\/f)))) assuming f is positive.\nAnswer: f**(728\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(11) + 2*sqrt(11))**2 + (-6*(sqrt(1100) + 1) + sqrt(1100))**2.\nAnswer: 600*sqrt(11) + 27932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f. Let x(u) = -2*u. Let q(k) = 14*x(k) + 6*y(k). Let g(n) be the second derivative of n**4\/2 + n + 21. Determine g(q(b)).\nAnswer: 600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219328*p*u**4 + 137*p*u**2 + p*u + 14*u**4 + 9421*u - 1 wrt u?\nAnswer: -5263872*p*u + 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**2*l**2 - 2*f**2*l + 2*f**2 - 153*f*l**2 + 2*l**2 - 195*l wrt l.\nAnswer: 40*f**2 - 306*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 5, 3766 in ascending order.\nAnswer: -1, 1, 3, 5, 3766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 452855445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2 - m - 2. Suppose 14 = -7*x - 21. Let u(n) = -5*n**2 - n - 1. What is x*u(f) + 3*t(f)?\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/13)\/a*a\/(((a**(-2)*a)\/a)\/a*a)*(a**(-1\/12))**(-45) assuming a is positive.\nAnswer: a**(303\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87739988*l + 34666294 wrt l?\nAnswer: -87739988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284 a factor of 3186437318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 258871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3809*p = 3804*p + 20, -5*t + 12 = -3*p. Solve 4 + 6 = -4*a + 5*b, -t*a + 5*b = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 3*l**4)*(-l - l + 8*l + 0*l - l + 2*l - l + 2 - 2 - 2 - l + 2 + (-1 + 1 - 2*l)*(3 - 2 + 0) - l - 3*l + 6*l + 4*l - 2*l - 4*l + 2*l + 0 + 0).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70062283 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5799, -6168, -6537, -6906?\nAnswer: -7275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43923 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 + 11*v + 21*v**3 - 11*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*v - 115181*l**3 - 6*l**2*v + 220*l**2 + 259*l + v wrt l?\nAnswer: 12*v - 691086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffmpoggm. What is prob of sequence om?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1092 - 737. Suppose -2*h = 5*n - f, -3*h + 142 = 2*n + h. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 4*y**2 + y + 7. Let r be q(-4). Let b(a) = a - 2. Let l be b(0). Let x = l + r. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 3\/7, -3, 5\/2, -2\/2527?\nAnswer: -2\/2527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2288*p**3\/3 + 2302*p**2\/3 - 68626*p\/3 - 140 = 0. What is p?\nAnswer: -6, -7\/1144, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 4. Let b be z(0). Solve -b*j = 5*l + 2 + 16, 2*l = -4*j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14188*y**2 + 5206992*y - 1468.\nAnswer: 4*(y + 367)*(3547*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919, -1835, -2751, -3667, -4583?\nAnswer: -5499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w - 3. Let z be i(-4). Let f(a) = 79*a**3 + a**2. Let m be f(z). Suppose -m = -3*h - h. Calculate the least common multiple of 16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/28*(-52)\/39?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(247\/(-57)*9).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296485 is divided by 263?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egggrggggeregogoggog. What is prob of picking 2 o?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -10253, -2, 3, 2, 5, -4 in descending order.\nAnswer: 37, 5, 3, 2, -2, -4, -10253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 573. Let o = 523.0000339 + g. Round o to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7971 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 5*b**2 + 2 + 0 - 6639343*b.\nAnswer: -b**2 - 6639343*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 7*x - 30*x)*(0*x**2 + 3*x**2 - x**2) in the form j*x + g + b*x**3 + s*x**2 and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5, -q + 4*d + 0*d = -2. Suppose 2*k + 0*k = 3*a + 29, -5*k + 35 = 5*a. What is the remainder when q*1\/(-2) + 18 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**6\/40 + c**5\/4 + c**4\/2 - 113*c**2\/2 - 72. Let p(u) be the second derivative of v(u). Factor p(l).\nAnswer: 3*l*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110302 is divided by 18328?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1208, -3863, -7962, -13505, -20492, -28923, -38798?\nAnswer: -50117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*p**2*x**2 - 1467*i*p**2 - 432*i*p*x**2 - p**2*x - 358*p**2 + 2*p*x - 1226*x**2 - 2*x wrt p.\nAnswer: 2*i*x**2 - 2934*i - 2*x - 716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-20))\/(11\/(-55)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m**2 + 18*m - 24. Let b(n) = -4*n**2 - 6*n + 8. Let l(r) = -7*b(r) - 2*v(r). Factor l(a).\nAnswer: 2*(a - 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:28 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/213488 and -65\/264?\nAnswer: 640464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36)*6*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4191257 hours?\nAnswer: 1508852.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10139, -20276, -30413?\nAnswer: -40550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 7 = 3*k, 0 = -4*x - 2*k + 18. Suppose 3*u - 2*m = 42, -2*u - 4*m = u - 60. What is the greatest common factor of u and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtt when four letters picked without replacement from tmmtttttmtmttmttttm.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 301, 414, 491, 514, 465, 326, 79?\n\"Answer: -3*n**3 + 134*n + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = -35. Let b(y) = -4*y - 8. Let t(f) = -5*f - 9. Let v(j) = a*b(j) + 6*t(j). What is the remainder when v(-7) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6868\/(-476) + 14 + ((-34)\/14 - -2)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -193346?\nAnswer: 193345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7031 = 3*n + 39*x - 38*x, 2*x + 4698 = 2*n. What are the prime factors of n?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/24 + 7*t**4\/24 - 7*t**2. Find the second derivative of p(n) wrt n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 smaller than -12895\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296.4 + -295. Let h = 33.4 - 29. Let t = v - h. Sort 7, t, -2\/23, 4 in decreasing order.\nAnswer: 7, 4, -2\/23, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 12. Let c be m + 0*(-1 - -2). Let s(y) = -3*y - c*y**2 + 4*y**3 - 4 + 3 - 3*y**3. Calculate s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwakc. Give prob of sequence wa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(11\/(-8) - -1). What is the tens digit of (7 - x) + -2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 2*a**2 + 3*a - 2. Let c(p) = -10*p**2 - 3. Let g be c(0). Let m be y(g). Solve m*r - 23*r - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, y: 2, a: 2}. What is prob of sequence ys?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/3)\/(4\/6). Let x be (9\/12)\/(9\/24) - 0. Do h and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 53*w**2 - 57*w - 248. List the prime factors of a(-53).\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10.6 (b) 16 (c) 1\/17 (d) 8 (e) -2 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*h - 318, 10*d = -4*h + 5*d + 405. Let i be (-3)\/(-15) - 0 - (-222)\/15. Calculate the highest common factor of i and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1260.0008 + 1262. Let z = 125 + -127. Let d = l + z. Round d to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*v = -7, 3*h + 3 = h + v. What is the closest to h in -7\/8, 1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 857 (base 13) to base 15\nAnswer: 64e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 18cc?\nAnswer: 18cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 2*w**2 + w. Suppose 0 = -o + 2*o - 2. Let a = -70 + 66. Let z be o\/(-10)*20\/a. What is y(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41 + (-8)\/2*-1. Suppose 0 = -3*d - 4 + 13. Suppose 3*q + j = -q + z, d*q = -2*j + 35. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4348392 and 4?\nAnswer: 4348392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 231*j**2 - 3675*j - 13377.\nAnswer: 3*(j - 91)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 2*y. Is (-1)\/((y\/(-2))\/129) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*t**3 + 397*t**3 - 33 + 33.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 4*n**2 - 4*n - 1. Let u = -82 + 117. Let a be 3\/7 - 120\/u. Let t be g(a). Solve -h = -0 + t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*s + 24864 + 13214, -3*s + 12 = 0. What are the prime factors of i?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 6*o + 5*o + 3*o**3 - 8*o - 4*o in the form m + g*o + k*o**3 + i*o**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -373155 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 31?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**2 - 6*k**2 + 4*k**2)*((2*k - 2 + 2)*(-1 - 3 + 6) + 3*k + k - 6*k).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-6) - 253\/(-726). Let o = 834\/13 - 64. Let p be 7*1\/(-5) - -2. What is the third biggest value in p, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:30 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x - 4. Let t be j(8). Let o be 8\/(-15) + (-12)\/t. Which is the second smallest value? (a) -4 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:24 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x + 12*x - 3*j - 8, 3*j = -3*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t - 2*t + 5*t + 5*t to the form y*t + x and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1605 divide 1462537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11\/(-44))\/(3 - (-2893)\/(-964))?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2880*b*i**3 - 192*b*i**2*x + 2*b*i + 2402*i**3*x - 2*i**2*x - 188*i**2 wrt i?\nAnswer: 17280*b + 14412*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)\/p)**(-20)*p**4*p**(1\/7))**(-8\/7) assuming p is positive.\nAnswer: p**(-904\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392 is divided by 159.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 + 2 + 2*w**2 + 2*w**2 + 9. Let g be c(-3). Solve 0 = 3*o - 4*b - 2, o + 0*o - 2 = g*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**6*g)\/(g*g**(-1\/4)))\/(g**(1\/2)*g**6\/g)*g\/(g*g*(g**(-2\/5)\/g*g)\/g)*g**0*g*(g\/(g\/(g*(g\/(g*g**(-6)\/g))\/g)))\/g**0 assuming g is positive.\nAnswer: g**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - d = 439, 0*s + 3*s + 419 = -5*d. Is -146 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40891.42 milligrams to grams.\nAnswer: 40.89142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 119336 divided by 3\nAnswer: 119336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14460476.05 rounded to the nearest 1000?\nAnswer: 14460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/2 - 3)*2. Let j be 5*(2 - (-1 - -2)). Solve j*n + 4*i = v*n + 6, -4*i + 4 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x - 117. Let d be q(17). Let a be (15\/(-6) + -8)\/(d\/(-4)). Let j = 1 + 1. Sort -3, j, a in descending order.\nAnswer: a, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*h**5 - 165*h**4 - 340*h**3 + 1710*h**2 + 2870*h + 975 = 0. What is h?\nAnswer: -13, -5, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 1713629066871?\nAnswer: 1713629066871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 3. Let n be b(-2). Suppose 2*q = -2*q - 4*h + 8, 2*q = -n*h. Suppose 0*l = 4*r - 2*l - q, 6 = r + l. Solve v = -r*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*a + 2*z, z = a + 2*z + 10. Let i(b) = -28*b - 68. Let y be i(a). Calculate the highest common factor of 32 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397302955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 603 + -601. Suppose 0 = 2*i - 2*w - 28, 0*i + 2*w - 24 = -x*i. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 + -5.16. Which is the third biggest value? (a) -1\/5 (b) -10\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1594*k**3*n**3*o**3 - k**3*n**2*o**3 - k**3*n**2*o**2 + 243*k**3*n**2 + 9*k**2*n**3*o**3 + 10*k*n*o**3 + 3*n**2*o**3 wrt n?\nAnswer: -9564*k**3*o**3 + 54*k**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94060*u**4 + 150491*u**3 - 56428*u**2 - 3*u = 0. What is u?\nAnswer: -1\/18812, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Let r = -16036 + 7777463\/485. Let t = -476\/1455 - r. What is the biggest value in -0.1, x, t, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101220, 202439, 303658, 404877?\nAnswer: 506096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*r + 3*r - 5*r to the form f*r + q and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/499 >= 2234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/(44\/(-198))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**3 + 415*q**2 + 3*q + 2725. Determine y(-83).\nAnswer: 2476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 28. Sort 1\/6, -1\/5, c, 5.\nAnswer: -1\/5, 1\/6, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + (-63)\/18. Let v = -61 + 123\/2. What is the second biggest value in v, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 19*i**2 - i - 619 - 629 + 1248. Let g(t) = 5*t. Give d(g(a)).\nAnswer: -475*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56669 + 284363\/5. Let h = -204 + r. What is the closest to h in 1\/4, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -999530 and 81.\nAnswer: -80961930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus 68?\nAnswer: -68.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182750?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 minutes after 8:41 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-189)\/(-36) + (-1)\/4. Suppose -3*w + b = -2*d - 18, -15 = 5*d + w. Let u be (-6)\/15 + (-2)\/(-5). Put u, d, -2 in increasing order.\nAnswer: d, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/12 - 4*y**3 + 3*y**2 - 5*y. Let i be a(13). Solve -i*v + 1 = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5397, -34, 1\/6, 55?\nAnswer: 4\/5397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78904.\nAnswer: 2, 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 17.2. Let p = o - 17.1. Which is the biggest value? (a) -2\/5 (b) 2 (c) p (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 475 = -5*x, -x + 89 = -0*x + 5*n. Suppose -2*z + 4*z - x = 0. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(-54635 - 6*j**2 + 20*j + 54635) to the form a*j + p + y*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + x + 6*x - 17 - x**2.\nAnswer: -x**2 + 8*x - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2\/5 - 428*h\/5 + 2424\/5 = 0. Calculate h.\nAnswer: 6, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-7))\/((-10)\/(-70)). Suppose -920 = -4*d - n*a, 5*d - 12*a = -7*a + 1195. List the prime factors of d.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 + 10*j**4 + 105*j**3 - 190*j**2 - 400*j + 480 = 0. Calculate j.\nAnswer: -4, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 25292\nAnswer: 1011.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 1, c: 1, l: 2, d: 3}. Give prob of sequence di.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -857 - -857.862. Let p = s + -1. Round p to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:19 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486656 divided by 4?\nAnswer: 371664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2182 - 552. Let n(b) = p - 4*b - b**2 + 326 - 649. Calculate n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 11:33 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*1 + sqrt(240) - sqrt(15))\/((-1*sqrt(40))\/sqrt(8)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82179\/(-12)*(-22)\/21. Let h = 7182 - x. What is the common denominator of 29\/(-18) - (4 + -5) and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -h - 3*v, -17 + 3 = 5*h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + z + z - z**2 + 3*z**2)*(18 - 3*z - 18).\nAnswer: -6*z**3 - 6*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*w - 150 + 340 - 153 = 0, -l = -24*w - 133 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7944 + -23828\/3. Let l = 0.3 - 0. Sort -3, l, o, -1\/3 in decreasing order.\nAnswer: o, l, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 13. Let v be (1 + 1)*10\/4. Suppose c - 2*k = 3, 0 = -3*c - 2*c + v*k + 20. Calculate the highest common factor of c and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56582651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, 5, -2 in ascending order.\nAnswer: -24, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.96 - -0.04. Let z = 27380 - 27380.1. Sort 3, 1\/5, d, z in ascending order.\nAnswer: z, 1\/5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1451\/35 + 293\/7. What is the fourth biggest value in r, -5, 4, 80?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -5*n**5\/4 - 5*n**2 + 23. Let y(j) = -14*j**2 + 2*j. Calculate y(f(l)).\nAnswer: -78750*l**4 - 150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 6. Suppose 20 = -9*b + 56. Let q(j) = 3*j - 16. Let y(s) = s - 5. Let x(r) = 4*q(r) - 14*y(r). Let z(i) = b*f(i) - 5*x(i). What is z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 5. Suppose 5*l + 14 = 3*l. Let b = f - l. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 - 12*f + 4. Let j(r) = r. Let w be (152\/(-57))\/((-2)\/(-12)*4). Let z(b) = w*j(b) - s(b). What is z(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856\/37899 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 10656095?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19923, -39777, -59635, -79497, -99363, -119233, -139107?\n\"Answer: -2*y**2 - 19848*y - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 13 - 37 = 0. Suppose -s*c + 8 = -2*c. Suppose c*j + 5 = -3*j, 2*j = 3*n - 785. Is n a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.7719 nanograms to kilograms.\nAnswer: 0.0000000007267719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 + -359. Suppose 5*p = -10 - 15, 5*a - 2*p = 25. Suppose -25 = -z + 5*t, -z = -2*z + a*t + 15. Solve -l + 3*b - 9 = 0, z = -6*b + u*b + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0*b**2 + 0 - 1\/21*b**4 + 0*b**3 - 4\/105*b**6 + 22*b - 1\/14*b**5 - 1\/147*b**7. Factor m(h).\nAnswer: -2*h**2*(h + 1)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + ((-6 - 2) + 14 + -8 - 7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 5) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -382?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 4*b - 158 = 4*l, 4*l = -4*b + 212. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -141.\nAnswer: -141, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - 4.92. Let z = -31054 + 93163\/3. Which is the nearest to -2\/7? (a) m (b) z (c) 1.9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 406*i - 9327. Let y be m(25). Which is bigger: y or 842?\nAnswer: 842","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 61 = 6*z. Let w = -62 + z. Let k be 14\/3 + (w - (-15)\/(-5)). Which is the second smallest value? (a) k (b) -1 (c) 0.4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 - 7*m - 2. Let r be z(7). Let d(w) = -15*w. Let u be d(r). Suppose -4*o = 5*c - 71, -2*o + 2*c + u = -10. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360660 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 1272 = -a - 4*d, -4*a + 5381 = d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 31, 3\/14, 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q)\/q)**5\/(q**(-3)\/(((q*q\/q**(-5\/3)*q)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12586 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 24 = r. Let q(v) = 34*v**2 - 9*v + 17. Is 5 a factor of q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2720 + 2724. Let f(w) = 4*w**2. Let a be f(-1). Solve p*k = 3*k + a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 5418288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 18*x**2 + 26*x - 64. What is the remainder when c(17) is divided by -1 + 0\/(-1) + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 7) in base 11?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:57 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 7*a**2 + a - 5. Let d be m(7). What is the third derivative of -2*s**5 - 3*s**5 + 2*s**5 - 2*s**d wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -34056.\nAnswer: -34056.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 715.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 7349.\nAnswer: -5\/7349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2)*1 + (-510002 - -2). Round n to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487, 280, -63, -542, -1157, -1908, -2795?\nAnswer: -3818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -1, 3, -2, 0.2, 9, 3\/10 in descending order.\nAnswer: 117, 9, 3, 3\/10, 0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76769.\nAnswer: 7, 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -65\/6, -0.16, 0.5, -0.3 in ascending order.\nAnswer: -65\/6, -5, -0.3, -0.16, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12587 + 18750. Is t a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(75))**2 - sqrt(75).\nAnswer: -5*sqrt(3) + 16875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 4*f + 2. Let u be t(-4). Let x be 20\/u + (-454)\/10. Let g be ((-2)\/5)\/(108\/x). Sort g, 3, -0.1 in decreasing order.\nAnswer: 3, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -23. Which is the nearest to -1? (a) 0.1 (b) 3\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -39.5. What is the second smallest value in 2\/9, 7, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288105?\nAnswer: 3, 5, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/27)\/((-50)\/(-45)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 - x**4 + 0*x**4)*(9 - 8*x - 9)*(1 + 0 - 2)*(3 + 1 - 2).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 3*w - 8, -w = 3*w - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v - 4*l - 28, -5 = 5*l. Suppose -4*y = -v*y - 3*y. Is 2\/9 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120298*f = -120845*f + 70016 for f.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -16. Is 19 a factor of f*(4 - 42)*6\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(85)\/(sqrt(5)*1)).\nAnswer: -3*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*3\/(-6)*-4. Let h be ((-3)\/(-2))\/(-1 + v). Which is the second biggest value? (a) 0 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/k)**8)**(-32) assuming k is positive.\nAnswer: k**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**4 + 1003466*v**3 + 124461731*v**2 wrt v.\nAnswer: -192*v + 6020796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*2\/4)\/1. Suppose -b - 1 = r + w, 4*r - b = 12. Solve -z = 4*h - 21, 4 + 3 = r*z + h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-970)\/(-40) + (-1)\/4. Suppose g = 29*d - 28*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-3) + 0)\/((-2)\/156)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75440240401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9505 - -9498. Let c(x) be the second derivative of -3\/2*x**2 + 0 + x - 1\/6*x**3. What is c(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557443 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 44*k - 80. Let u(p) = -17*p + 29. Let r(t) = -3*a(t) - 8*u(t). What is r(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17829420?\nAnswer: 2, 3, 5, 7, 42451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krixikixjx. Give prob of sequence ki.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25 + 0*c**5 - 25 - 17*c**5 - 39*c**2 wrt c?\nAnswer: -1020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -2*x + 39 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(2\/13)*d*d)\/d)\/d**(-2\/31))**(16\/11))**(-6\/5) assuming d is positive.\nAnswer: d**(-47136\/22165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204a13a (base 11) to base 6.\nAnswer: 205252504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7 and 31\/1687?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 4, b: 7}. Give prob of sequence br.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kikk when four letters picked without replacement from {i: 5, y: 2, k: 12}.\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 369 - 135 - 125 - 109 - 3*k. Let o(f) = -12*f**2 - 7*f - 1. Let i(d) = -11*d**2 - 6*d - 1. Let v(g) = -7*i(g) + 6*o(g). Calculate v(z(s)).\nAnswer: 45*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 49676362 - 20043638. Round r to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(304) + -3 - ((sqrt(304) - 1*sqrt(304)) + 2 - sqrt(304))) + -2)**2.\nAnswer: -112*sqrt(19) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47368 is divided by 861.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30723 and 123320505?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -10 - (7 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 5*d + 6*d + 4. What is c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1922\/124 + -23)\/(5\/(-16))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**9\/x)\/x)\/x**10*x\/(x\/(x*x**(-3\/5)\/x))*x\/(x*x\/(x*x**(-2\/39))*x))**(-47) assuming x is positive.\nAnswer: x**(33464\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s + 255544. Let o(r) = -4*r. What is p(o(x))?\nAnswer: -68*x + 255544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -296 + 295.827. What is a rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**47\/((((c**3*c)\/c)\/c)\/c**1) assuming c is positive.\nAnswer: c**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 8. Let m(z) = z - 5. Let s(k) = 5*m(k) + 3*y(k). Let a(w) = -63*w + 35. Let v(o) = -a(o) - 35*s(o). Let x(h) = 0*h - 3*h + 0*h. What is x(v(i))?\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 5922.\nAnswer: -2\/2961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/8))\/n*n)**(-8)\/(n**(1\/10)*n*n\/(n\/(n**(-19\/2)\/n))) assuming n is positive.\nAnswer: n**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d - 4*i - 62 = -51*d - 33*d, -37*d = -i + 367 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2\/7 - 242684*u\/7 + 69336 = 0.\nAnswer: 2, 60669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2376652 (base 8) to base 9\nAnswer: -1207143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + j + j)*(4710*j**2 - 2322*j**2 + 7183*j**2) to the form q*j + m*j**2 + z + v*j**3 and give v.\nAnswer: 19142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 151565800 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 219609600 a multiple of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 36*f**2 - 3202*f - 115165. What is i(-36)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1488839840 and -0.066432.\nAnswer: 1488839839.933568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7413 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*h - 116*h - 326*h - 277*h + 244*h)*(-3*h**2 + 0*h**2 + 2*h**2).\nAnswer: 686*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-2)\/(-4))\/(39\/130)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0815593 decades?\nAnswer: 0.815593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -7*a**5\/2 + 201*a**4 + 235*a**3\/2 - 87*a**2 = 0?\nAnswer: -1, 0, 3\/7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:51 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 35*r**2 + 2*r + 3. What is the units digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -546, -541, -536, -531, -526, -521?\n\"Answer: 5*f - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 h when three letters picked without replacement from {u: 2, h: 2, o: 7}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14087897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(104))\/sqrt(8) - 5*(sqrt(39)\/sqrt(3) + -5))**2.\nAnswer: 350*sqrt(13) + 1262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.4 (c) -0.2 (d) -154 (e) -3\/1070\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2440*i + 5*i**4 - 1753*i - 318*i**3 - 341*i**3 + 508*i**3 + 1395*i**2 + 784.\nAnswer: (i - 16)*(i - 7)**2*(5*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:17 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 30 + 159 = 0. Which is the closest to 1? (a) j (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d**2 - 9*d**2 + 11*d**2 in the form m*d + b*d**2 + z and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.369\nAnswer: 0.1107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11206 - 10660. Calculate the greatest common divisor of d and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_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: Express 603 + 383 + 31 + q**2 - 101 in the form i*q**2 + m + h*q and give m.\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/7 + 10954*i**3\/7 + 10959*i**2\/7 - 43816*i\/7 - 6260 = 0. What is i?\nAnswer: -2, -1, 2, 10955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 40*n**2. Let g(t) be the third derivative of -t**5\/30 - t**3\/3 + 24*t**2 + 31*t. Calculate g(h(v)).\nAnswer: -3200*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/8*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, f: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-2 + 3*(sqrt(21)\/(sqrt(3)*2) - sqrt(1575))).\nAnswer: 4 + 87*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215653?\nAnswer: 215653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -16. Suppose -p*a = -4 - 0. Suppose 2*x + x = -5*d - 3, -17 = 3*d - a*x. Is -5 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 5 (c) 0.3 (d) 71 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -3, -8, -5 in ascending order.\nAnswer: -47, -8, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**6\/30 - q**5\/20 - q - 4. Let z(c) be the first derivative of j(c). Factor z(p).\nAnswer: -p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2565105364 and -0.5.\nAnswer: -2565105364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:33 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -21, 0, 7340 in decreasing order.\nAnswer: 7340, 0, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10026 is divided by 234?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-66) - 151\/546. Let w = -6\/13 + p. What is the common denominator of w and (-2)\/4 + 58\/16?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -630*d**3 - 6*d**2 - 8*d + 3196821 wrt d?\nAnswer: -1890*d**2 - 12*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 5 - 56)*(166*y**3 - 344*y**3 + 83*y**3) to c + k*y + w*y**3 + u*y**2 and give w.\nAnswer: 7220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 smaller than 6472\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 91 + 266 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 304 - 2?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, 3\/7, -129, -0.2, 28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -4, -187, 0, -5 in increasing order.\nAnswer: -187, -5, -4, 0, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/f**37)\/f)\/f**(2\/97)*((f*f*f**(1\/67)*f)\/f)**(-3) assuming f is positive.\nAnswer: f**(-266884\/6499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10143441 + 17243441. What is f rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/21*(-17 + (-968)\/(-55)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 3*v - 0, -5*c + 25 = 0. Let y(d) be the first derivative of -3 - 2*d**2 - 1\/3*d**v - d. Let q(h) = 2*h**2 + 7*h + 1. Give 3*q(i) + 5*y(i).\nAnswer: i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.659 to two decimal places.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*r - 53, -4*r + 2*z + 5 = -41. Suppose 0 = 9*u - 6*u - r. Let t be (-3 - -6)*(-2)\/(-3). Solve 6*f - u*f = -t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.595406885 - -0.104592245. Let y = 140.3 - 142. Let g = n + y. What is g rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/115, -5\/4, -66\/7?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2759507236 to the nearest integer?\nAnswer: 52531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/164 and -99\/4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from juugjujj?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, -519, -16, -2\/7?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 116*q + 994. Determine a(86).\nAnswer: -1586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/133 and -59*((-117)\/855)\/13.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1652985.\nAnswer: -8\/1652985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*c**2 - 10023 + 8394 - 151*c**2.\nAnswer: 3*c**2 - 1629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-22)\/8)*-4. Let o be j + 2 + -599 + -2. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34739.7633 rounded to the nearest one hundred?\nAnswer: -34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 957.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -13.14?\nAnswer: -0.5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 4*w)*(-91*w + 68*w**2 + 91*w) + 4*w**3 - 2*w**3 - w + w**3.\nAnswer: 71*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 5*x + 4. Give b(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927436\/14 + (-16 - 4469\/(-287))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n + 474 = 50*n. Suppose -4*u + 96 = r - 2*r, -3*u - r = -n. Find the third derivative of q - q - 7*q**2 - u*q**2 + 18*q**4 wrt q.\nAnswer: 432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 7*l + 1. Let v(f) = -f**2 - 7*f - 6. Let u be v(-4). Let i be w(u). Let z be (-1)\/3 + (-1)\/15. What is the third biggest value in 6\/7, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7397272, 14794545, 22191818, 29589091, 36986364, 44383637?\n\"Answer: 7397273*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 461\/4. Let v = 17\/99 - -1\/99. What is the closest to n in -2\/5, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.11 + -11.41. Sort 2, -51, w in decreasing order.\nAnswer: 2, w, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2100, 2\/9, 2.\nAnswer: -2100, 2\/9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o. Let k(l) be the second derivative of l**4\/4 - 5*l**3\/3 - 19*l**2\/2 + 15*l. Let w(s) = k(s) - 4*q(s). What are the prime factors of w(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 50214.\nAnswer: -1004.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0232 and 7442239.\nAnswer: 7442239.0232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - 6 = 0. Suppose -4*j - 4*g = -7*j + 282, -4*g + 306 = u*j. What is the greatest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 149 = -4*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 399 and -4.\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 114756*s**2 + 1168. Let q(t) = 295*t**2 + 3. Calculate -3*k(j) + 1168*q(j).\nAnswer: 292*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61920 is divided by 110.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -31. Let h = d + 18. Which is the third smallest value? (a) -2\/17 (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 5*a - 6. Let c = a - -28. Is 17 a factor of 34 - -3*(c - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/1 - (-2905320)\/310.\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12528\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 376122?\nAnswer: -376114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -98*m + 13. Let q be j(-3). Let s = -129 + q. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 5*w - 2411 = -2541, 4*s + 52 = -5*w for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 269*a - 11. Is y(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -1\/6*i**4 + 0 - 2*i - 1\/3*i**3 - 1\/2*i**2 + 1\/4*i**5. Suppose 2*o = 4*f + 10, -3*f = -6*f + 2*o - 9. Give g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/(-5))\/(2685\/179))\/(((-11)\/3)\/1)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/((-3)\/(-36)). Is ((-1)\/(-6)*782)\/(2\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157869.\nAnswer: 7, 43, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 9*h**2\/2 - 8*h - 11. Determine r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c - 38*c**2 - 228*c**2 - 642*c**2 + 12*c + 46*c wrt c?\nAnswer: -1816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19144439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -219, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103403652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + (-2 - (2 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/12, -30, -2\/3, 29\/6, 3, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 + 0)*(-30)\/9 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:05 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 69 = -3*q - 16*r, -20 = 4*q + 12*r. Solve -3*p = 5*z + q, 11 = p - 3*z + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Let d(y) = 3*y**3 + 6 + 4*y - 4*y**2 + 0*y**3 - y. Let x(r) = 10*r**3 - 11*r**2 + 8*r + 18. Let s(t) = -7*d(t) + 2*x(t). What is s(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 38*l**2 + 35*l + 14. Give r(-37).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d)**(1\/15)\/((d*d**0*d)\/(d*d\/(d\/d**(-1\/6))))*((d\/(d\/(d**(-1\/5)*d)))\/d**(-1\/6))\/(((d*(d*d**3)\/d)\/d)\/d**(3\/5)) assuming d is positive.\nAnswer: d**(-116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) - (-424)\/(-10). Let g(q) = q**3 + 32*q**2 + 29*q + 36. Let r be g(-31). Let x = t + r. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 times 2.6\nAnswer: -1068.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*o**4 - 62*o**3 - 5*o**2 - 4858.\nAnswer: 288*o - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -50*o**3 - o. Let g = -4 + 4. Suppose 2 = -g*p - 2*p. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/12*(1 - 3). Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 234, -2 in ascending order.\nAnswer: -4, -2, -1, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:19 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 16.9. Let y = -1.12 - -0.63. Let g = c - y. What is g rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5, 5*g + 4*o - 3 = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - d = 8 + 12, 3*d - 80 = -1078*q + 1074*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1171 * -6435.\nAnswer: -7535385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1617)\/(-11))\/((-33)\/((-5940)\/252))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2670775, 5341791, 8012809, 10683829?\n\"Answer: t**2 + 2671013*t - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.23747 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 75 + 9\/(-3). Let o = q + -28. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 5, d: 1, l: 4}. What is prob of picking 1 l and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((0 - (-4 + 4)) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505719917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110289582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*(q*(q\/(q\/(q*q**(2\/9))*q))\/q)\/q*q*q))**(-2\/63)\/((q*q\/q**(6\/5))\/(q**0\/q*q)) assuming q is positive.\nAnswer: q**(-2068\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7821, 15668, 23523, 31386?\nAnswer: 39257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.666497l?\nAnswer: 666.497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -40*((-13)\/(-5) - 3). What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13916.761*-0.1\nAnswer: 1391.6761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 924.07 - 919. Let g = r + -5.57. Which is the nearest to -0.1? (a) g (b) -0.3 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2143 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(1323))\/(2*sqrt(1089)))**2.\nAnswer: 1323\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76926, 77060, 77420, 78120, 79274, 80996, 83400, 86600?\nAnswer: 90710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) 11 (c) -0.1 (d) 0.1 (e) 2 (f) 0.035\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + o. Let c(m) = 31*m**2 - 6. What is -c(a) - 2*v(a)?\nAnswer: -27*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*w - 40 = 0, -3*k - 3*w + 1254898 = 1254910 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 3. What is m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hht when three letters picked without replacement from {h: 5, t: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124749661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -933, -1653, -2349, -3015?\nAnswer: -3645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0) + -284*15\/(-20) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560, -555, -550, -545, -540, -535?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*r, 3 = v + 5*r - 3*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**7\/105 + 31*y**6\/90 - 26*y**5\/15 + 19*y**4\/6 - 23*y**3\/9 + 48*y**2 - 63*y. Find u such that m(u) = 0.\nAnswer: -23, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*s + 4, 4*s = 3*m - 182. Let c = m - -82. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 24*n**2 - 55*n + 78. Let o be y(26). Solve -7 = -2*i - z + 6*z, o = -2*i + 2*z + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 15*k**2 + 9*k - 21. Give w(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 75 + 33)*(-3*d + 3*d - 5*d) - 3*d + 2*d + 3*d.\nAnswer: -373*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-29 + (-4 - 3) + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*t. Suppose 5*p - 2*n - 3*n = 1540, -5*n = 3*p - 948. Let w = p + -923\/3. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12218722 and 74816?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 10*m - 31. Let o(q) = q + q**2 + 16 + 2*q + 2*q. Let i(y) = -6*a(y) - 11*o(y). Factor i(z).\nAnswer: -5*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 118 = 110 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 - -3.9. Which is the third smallest value? (a) -1\/3 (b) -5 (c) 0.04 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(475) + 5*sqrt(475) + sqrt(475) + -4 + -4 + -5*sqrt(475) + 2)**2 + 1 + -3.\nAnswer: -180*sqrt(19) + 1979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7663 or 130275\/17?\nAnswer: 7663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 148262720 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 660?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:33 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145961.\nAnswer: 7, 13, 181, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337265.6l in millilitres?\nAnswer: 337265600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 4*d + 59, -23 = -88*g + 97*g - 2*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, -0.4, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(3*p + 0*p + 0*p)*(0 + 3*p + 0) - p**2 + 3*p - 3*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 7*g + 0*g)*(13 - 23 - 53).\nAnswer: -504*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 5. Suppose d - 27 = -i, -4*i - 5*d + 6 = -100. Calculate the remainder when i is divided by l(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 7*m + 3. Let n(c) = c**3 + 5*c**2 - 7*c - 9. Let f be n(-6). Let u = 8 + f. Calculate a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 7 + 3)*(1 - 1 - 2) + 2 + 2 - 5)*(-393 + 20*x**3 + 393) + (-3*x - 2*x + 2*x)*(2*x**2 + 0*x**2 - 4*x**2).\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 229978 + 4?\nAnswer: 22997c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 2*h**2 + 0*h**2 + (-52 - 17*h + 52)*(h - h - 3*h).\nAnswer: 53*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrrrccrcccjcqucu. What is prob of sequence cju?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4651 + 4666. Calculate the remainder when 1449 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 8) to base 12.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405 - -1 - (-10)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 122*w + 49. Let u(h) = -h**2 + h - 21. Give -d(s) - 2*u(s).\nAnswer: -s**2 + 120*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132312.4 - -1411910?\nAnswer: 1544222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 66. Let c = -0.16 - -0.76. Let u = c - 4.6. What is the second smallest value in k, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a hour in seconds?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 21*q + 382 - 16*q + 0*q**2 - 369. Determine g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 4*x + x + 4*x + x - 2*x + (2 + 2 - 7)*(0*x - 7*x + x).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 78. Calculate the common denominator of (-113)\/10 + 8\/(-20) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168815949 to the power of 1\/2, to the nearest integer?\nAnswer: 12993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from {m: 3, i: 2, s: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -15. Let a = z - -17.029. Round a to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(17*z**5 - 39*z**5 - 43*z**5) + 4*z**5 - 5*z**5 - z**5 - 2.\nAnswer: -67*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:26 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*d - d - 20, 3*m - 1 = -5*d. Let w = m + 9. Calculate the greatest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122 - -3?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1278534 < -1278534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3\/5, -0.186, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*((-1)\/10)\/((-387)\/516).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122000001020 (base 3) in base 2?\nAnswer: 1010001101100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 3528.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -162. Calculate the remainder when g is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 366, 364, 362, 360, 358?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243b70 (base 16) in base 4?\nAnswer: 21003231300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 1115 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/((h**(-6)\/h)\/h))*h*h\/((h*h**(-6))\/h)*h)\/(h**(1\/2)\/h*h)**(-43))**(-3\/5) assuming h is positive.\nAnswer: h**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*((sqrt(605) - (-1*sqrt(605) - sqrt(605)))**2*-4 + 1)*-2.\nAnswer: -1568088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (53210\/(-136))\/((-1)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6144 divided by 6.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 21. Let i be (b + 0)\/((-4)\/(-136)). Let a = i - 17. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -268 + 268. Suppose -4*h + 59 = 5*f, 2*f - f + h - 12 = r. Solve -3 = 12*x - f*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p + 766 + 724 = 445 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(9\/6)*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9500003 - -1*(-3)\/(-1). What is q rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.84 (b) 3 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -77, -70, -63?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2064931925 and 13550.\nAnswer: 6775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*w - 42806 = 2*w, 0 = p - w + 21397. Let i = 67399 + p. What is i rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, 3, 4, 10, 0 in ascending order.\nAnswer: -19, 0, 2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*p + 597 = -44*p - 1128 - 5139 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/11 + (-10)\/55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8327415608 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -505 + 513. Solve -p = -6*n + 10*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 - 3*b)*(-400 + 231 - 686).\nAnswer: 2565*b + 1710","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -283, -400, -535, -688, -859, -1048?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 72?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s. Let m(v) = -v. Let z = -97 - -91. Determine z*t(l) + 51*m(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w + 49*w - 98*w = 21, 3*d = w - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1291487 = -23264*q + 825537 for q.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:50 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/569240 and 1\/164.\nAnswer: 23338840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -777, -6243, -21099, -50037, -97749, -168927, -268263?\nAnswer: -400449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 3*d + 1. Let q(y) = -8*y**2 + 13*y - 5. Determine 9*h(f) + 2*q(f).\nAnswer: 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - -2. Let x = -0.3 - g. Let o = 233\/56 + -30\/7. What is the nearest to x in 1\/5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b303 (base 13) to base 6.\nAnswer: -21555123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.5761g to kilograms.\nAnswer: 0.0805761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11085 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 28\/5, -0.1, 0.2, -5\/6?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:32 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0713 and 274266431.\nAnswer: 274266431.0713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003497 rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 19 - 13 - 7 - 10.\nAnswer: 3*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 117272817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, -0.06, 11, 8 in increasing order.\nAnswer: -2, -0.06, 2\/5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**3 - b**3 + 0*b**3)*(-1 + 0 - 5) + 13*b**3 + 10*b**3 - 8*b**3 + (-16 + 2*b**3 + 16)*(-2 + 7 - 4) as s*b**3 + l*b**2 + x + j*b and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 65330.99 meters?\nAnswer: 6533099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90698221?\nAnswer: 90698221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usur when four letters picked without replacement from cruucsrriyyi?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7)\/(-14))\/(2\/36) is divided by (24\/(-24))\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77687730.\nAnswer: 2, 3, 5, 863197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504649 and 1314.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (0 - 137) - (-28 + 23)) + -105 + 104?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 2760412*m + 2760413*m + 7, -4*f - 11 = 3*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 7, x: 3}. What is prob of sequence xg?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -50. Let f be k\/(-72) + 16\/45. Which is the nearest to 0.2? (a) -0.4 (b) -3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1 - 18*v + 0*v + 11*v + 8*v. Let t(z) = -z**2 + 48*z - 14. Let n(p) = 4*l(p) + t(p). What is the derivative of n(o) wrt o?\nAnswer: -2*o + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q - 3. Let y(w) = 5*w**2 - 13*w + 13. Let l = -46 + 20. Suppose 2*o + 15*o + 1887 = 0. Let c = o - -105. Give c*y(s) + l*d(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2735 and 421060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-360))\/((-5)\/40)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Suppose 0 = -l - w + 6. Solve 5*g = l - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242 + -206. Let w = 180 + -84. What is the highest common divisor of k and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1741 - 1737. Solve 0 = 3*m + 4*y + 13, d = -4*m - 3*y - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3*s - 171, -8*d - 5*s = -6*d - 15. Let h(y) be the first derivative of -y - d + 7\/12*y**3 + y**2 - 5\/16*y**4. Let h(v) = 0. What is v?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (69\/15 - 5) + (-2)\/20. Let z = -2 - -5. Let w = z - 4. What is the closest to -1 in t, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604946 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000158804 to six dps.\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + (-18)\/45*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6907 + -0.68. What is x rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 - 155 + 26*d**2 + 19 - 128.\nAnswer: 26*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**4 + 6. Let l(f) = -10*f**4 + f - 7. Let q(m) = 7*c(m) + 6*l(m). What is the second derivative of q(d) wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*q + 258*q - 808*q - 154*q - 469*q - 890*q.\nAnswer: -2534*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -93d1?\nAnswer: 93cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 10\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 9 = -3*j, -2*j - 4*c = -64 + 90 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 + -331. Let i(j) = j**2 - 1. Let a be i(1). Solve -3 = -d + 4*d - 2*b, a = 2*d + 3*b + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h + 5350. Suppose -8*o = -h + 38. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 1 = -u - 0*u, u + 4*i = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -53. Let r = s - 20. Solve 1 = -x - r*x - 3*m, 5 = 5*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20301 - -29136. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32958.42 weeks?\nAnswer: 19933252416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - o - 42, 4*i + 2*o = 90 + 2. Which is smaller: 24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 1218 - 2436 + b + 1218. Suppose -4 = g + d, d = -4*g - 13 - 3. Let a(z) = -z - 7. Let l be a(g). Determine y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 119.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/17635 and -21\/4.\nAnswer: 70540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.014 - -9.914. Let j = -10 + y. Let x = 0.43 + -0.03. Which is the nearest to -1? (a) j (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 527734359 and 5?\nAnswer: 2638671795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -55\/9*w**3 - 15\/4*w**4 + 40 + 0*w - 5\/3*w**2. Determine a so that p(a) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(833) + sqrt(833)*3*6 - 1*(-1 + sqrt(833)))**2*1.\nAnswer: 252*sqrt(17) + 269893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 106*u**2 - 453*u - 37021. Give t(-107).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -5) + -3 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l - 3. Let c(j) = -4*j**3 + j**2 + 2*j + 1. Let v be c(-1). Let f(o) = -14*o + 8. Determine v*f(h) + 11*d(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-34))\/((-3)\/(-6)). Let j be (-2)\/4 - (-21)\/24. Suppose 0 = -5*s - 15, 5 = -y + 3*s + 10. Sort y, j, o.\nAnswer: y, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45220451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + -6 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2032da3c - -1?\nAnswer: -2032da3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-1)\/7)\/(52\/(-182)). Solve 3*k + 1 + 2 = i, s*k = -3*i - 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(2016))\/(sqrt(32)\/(sqrt(4) - (sqrt(8) - sqrt(16)\/sqrt(2) - sqrt(8))\/sqrt(2)))*3.\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-17 - 8 - -20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -369*y**2 + 2*y + 247. Let t(w) = 375*w**2 - 3*w - 247. Let k(x) = 5*c(x) + 4*t(x). Find the first derivative of k(g) wrt g.\nAnswer: -690*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t**4 - 1731*t**3 - 7863*t**2 + 302619*t - 293040 = 0 for t.\nAnswer: -15, 1, 11, 592\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/6*(-128457)\/28. Suppose 5*h - u = j, -5*h = -2*j + 802 - 13035. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -34. Let y be 11\/5 - (-2)\/k. Suppose 5*m = 3*m - y. Put m, 4, -3 in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05 and -245 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k = -48*k. Suppose -z - 51*f + 2 = -50*f, k = f - 1. Which is the closest to -23? (a) -5 (b) 4 (c) z (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19615356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -12*y + 21. Let g(u) = 2*u**2 - 3*u - 3. Determine g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.853 rounded to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 34 = -22*t. Suppose -6*x + t*x - 352 = 0. What is the remainder when 93 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 20*x - 32*x)*((-1 + 2 + 1)*(-4 + 2 + 1) - 1 + 3 + 1 + 0 - 1 - 1)*(-3 - 3*x + 3).\nAnswer: -159*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 16*i**2 - 218752172*i - 54688044 = 0.\nAnswer: -1\/4, 13672011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005136 to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 21.8165753003\nAnswer: -23.8165753003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 107*y - 31. What is the hundreds digit of l(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21676 + 130266. Let k = -108588.899888 + j. Let w = k + -1.1. What is w rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 divided by -238266\nAnswer: 127\/119133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4245, -10054 in descending order.\nAnswer: 4245, -2, -10054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48045, 96171, 144281, 192369, 240429, 288455, 336441, 384381?\nAnswer: 432269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -482010*g**5 - 196991*g?\nAnswer: -9640200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 - x + 9 - 2 - 2*x**2 - 14 + x**3. Let u be y(-7). Factor 0*o**2 - 1\/4*o**4 + 0 - 1\/2*o**3 + u*o.\nAnswer: -o**3*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44)\/(-12) - 4) + 13\/3. Let y be (-5 - -3) + 1 + 3. Suppose -o + 60 = y*a, g*a + 285 = 5*o - a. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -2)\/(1\/211) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b - 36. Suppose -2*a = -26 + 2. What is the remainder when s(14) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from gfgffg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 11*o**2 + 31. What is h(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37, 0.4 in increasing order.\nAnswer: -2, 0.4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 6. Let c(v) = v + 1. Give -5*c(w) - k(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146329 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -2. Let l = -9 + u. What is the nearest to 0 in 0.5, -3, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*c - 6 = 0, t = -5*c + 12 - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/39)\/(((-8)\/(-9))\/1). Let a = -1306 + 1305.5. Let y = 7 - 4. What is the nearest to -0.1 in j, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 2077.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1515 * -581\nAnswer: 88.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228612*u**4 - 17*u**2 + 403*u + 2 wrt u.\nAnswer: -5486688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p + 1. Let f(t) = 1. Let o = -20189 - -20186. Calculate o*w(q) + 6*f(q).\nAnswer: 24*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -790845, -790853, -790873, -790911, -790973, -791065?\nAnswer: -791193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -89) + (-1776 - -1816 - (26 + 0)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3705 and 1625.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*f - 909 - 180 - 735 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 57 = -q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10350141 - 1?\nAnswer: -10350142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2001, 1\/4, -0.2, -3\/8?\nAnswer: 2001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/20*(-370)\/7770. Let c(l) be the third derivative of -9*l**2 + 0 + 0*l - 49\/3*l**3 + 7\/6*l**4 - k*l**5. Factor c(m).\nAnswer: -2*(m - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 4:06 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/8 of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:29 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggagppgggppgppag. What is prob of picking 2 a and 1 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1939, 435, -2071, -5579?\nAnswer: -10089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -1072*j + 1083*j. Let w(u) = -u**3 + 30*u**2 + 62*u + 46. What is w(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18837 is divided by 2653.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10879697561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccb when four letters picked without replacement from {c: 9, b: 1, t: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = -n, -299*b + 295*b + 3*n - 11 = 0. Is -1\/4037 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-2)\/(12\/9)). Put 2, h, 4 in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*t**4 - 3*t**2 - 2*t?\nAnswer: 612*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-58)\/(-6) - 8\/12. What is the remainder when 34 is divided by g\/6*((-10)\/(-3) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -479\/8 - -247\/4. What is the common denominator of o and 0 - 1 - (-128)\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 7 + 1. Which is greater: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-29 + 16) - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from aggrjljl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 19.2352842578?\nAnswer: 18.7352842578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g*g\/(g**(1\/2)*g*g))))**19)**42\/(((g**(3\/8)\/g)\/(g\/(g\/((g*g**2)\/g)*g)))\/(g**1)**(-27)) assuming g is positive.\nAnswer: g**(-9779\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 7. Let s(y) be the second derivative of -2*y**3\/3 + 5*y**2\/2 - 4*y + 8. Calculate -5*h(z) + 8*s(z).\nAnswer: -2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029918 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -39 + 174. Let 27*w**2 + 2*w**3 - l*w**2 - 2*w = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119686644?\nAnswer: 2, 3, 7, 11, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8dbaf (base 16) to base 14.\nAnswer: -1680c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83.7 + 83.9. What is the fourth smallest value in -2, -5.4, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o + 1. Let b(c) = -9*c**3 + 3*c**2 - 3*c + 3. What is 3*a(g) - b(g)?\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 + 32 + 27 - -59.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 126*r - 5. Let u be p(-10). Let z = u + 2050. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 540\/(-40)*(-38)\/3. Suppose 5*m - y = 154. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133623 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -63. What is the closest to p in 0, -2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(5 + 4\/(-2)). Let p be (-8)\/(-4) + (-24)\/h. Let j(g) = -10*g + 343. Let s be j(34). Put s, p, -0.1 in ascending order.\nAnswer: -0.1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -s + 5*h - 4, 4*s - h = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.4 (b) -3 (c) 2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 8 - 3*v + 6*v - 3*v + v + v + (2*v + 2*v - 3*v)*(4 + 1 - 7))*(6*v**4 + 0*v**4 - 3*v**4) + (-2 + 2 + 2*v**2)*(125*v**2 + 3*v**3 - 125*v**2).\nAnswer: -6*v**5 + 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from sxi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2920 and 21750.\nAnswer: 6351000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 2. Let f be ((-13)\/4)\/(1\/4). Let l(z) be the second derivative of 0 - 307*z - 11\/6*z**3 + 2*z**2. Determine f*s(y) + 6*l(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -112. Let n(s) = s**3 - 3*s**2 - 2*s + 3. Let c be n(p). Does 0.2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and 41\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygrk when four letters picked without replacement from hykgmrg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - 198\/(-24))*-8. Let m = g - -2. Let d(s) = -s**2 - 6*s + 7. Determine d(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/2 - 311*q**4\/2 - 12499*q**3 - 124997*q**2 - 858201*q\/2 - 974655\/2 = 0.\nAnswer: -179, -121, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 - 176*d + 848. Calculate h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 5*s - 576*s**2 + 444*s**2 + 4*s.\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -397210 (base 11) to base 10\nAnswer: -624492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 1\/3702390138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0549 less than 151.1009?\nAnswer: 151.1558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 3. Let c be k(5). Solve b + 4*b - 2*t - 2 = 0, 0 = -4*b - 2*t - c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 25. Let d be (-1)\/5 + 276\/y. Let h(p) = p**2 - 4*p - 1. Let v be h(6). What is the greatest common divisor of d and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 477, 718, 963, 1212, 1465, 1722?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -109321851 + -0.2\nAnswer: -109321851.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -5, 2\/5693.\nAnswer: -5, 2\/5693, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11683462 is divided by 1278.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let a = -295 + 807. Let f = a - 517. Give u(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021 (base 3) to base 9.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4878430 to the nearest 10000.\nAnswer: 4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1217312591 to the nearest integer?\nAnswer: 34890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/245*168\/(-12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, v: 4}. Give prob of sequence vv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3, 23*f - 3*t = 19*f + 93. Solve -f*x + 3 = -25*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 565*v**3 - 2*v**2 + 5*v - 6520 wrt v.\nAnswer: 3390*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -253108?\nAnswer: 253104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/4*(-4)\/(-6). Suppose 0 = 5*u - h*u - 18. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k - 605 = -84*k. Suppose -2*c = -41 - k. Solve 0 = 11*y + 18 + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o)*(-4 + 1 - 1) + 33*o - 36 + 36.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030*h + 1094*h + 320 = 0. Let q(a) = -13*a + 12. Give q(h).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78225.67mg?\nAnswer: 78225670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 465389?\nAnswer: 69\/465389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.17 and -0.02893.\nAnswer: 5.14107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 524*b**3*x**3 - 4*b**3*x + 10*b**2*x + 80*b*x**6 + 7*b*x + 18*x**2 wrt x.\nAnswer: 3144*b**3 + 9600*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7, -0.0003, -3, -0.4?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -0.41, 707586 in increasing order.\nAnswer: -0.41, 4\/3, 707586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2 and 62\/57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) 5 (d) -636\/11 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from camon. Give prob of picking 1 o, 1 n, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042193031?\nAnswer: 3, 11, 727, 43441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.6 - -14. Let t = s - -4.9. Which is greater: t or 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338 - -110740743220\nAnswer: 110740743558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3174*w + 78537. Determine l(24).\nAnswer: 2361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 0. Let f = w - -3. Let k = f - -2.6. What is the closest to 0 in 5, k, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 24*d = 3261217 - 3258955 for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(4*5\/(-120))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1197235 and 22820.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*v + 2513*v**3 - 3 + 3 - 480*v.\nAnswer: 2513*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2024123300 (base 5) to base 6\nAnswer: -224303321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/6, 5, 3\/4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4211 (base 6) to base 12\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.951 + -0.051. Let d = t - 0.9. Let b = -0.09 + -4.91. Put -4, b, d in decreasing order.\nAnswer: d, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 2. Suppose 4*s + 53 = 81. Calculate the remainder when (-2)\/6 + 80\/d is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u + 20. Suppose u*t - 2*t - 16 = 0. Calculate the greatest common factor of 72 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*g = -492*g. Put g, 2\/9, -10 in descending order.\nAnswer: 2\/9, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7 + (-1)\/52*-532\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5aac7 - -2e?\nAnswer: -5aa99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 7*r = -40. Solve r*n + n + 19 = -4*k, -3*k = -4*n - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -9*m + 5*m. Let o = 8 - m. Suppose -60 = -2*s + s. Calculate the greatest common divisor of s and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5))**2*-2 - (-4 + (sqrt(30)\/sqrt(6) - sqrt(5)))**2) + ((-2 + sqrt(720))**2 - sqrt(5) - ((sqrt(30)\/sqrt(6))**2 + 1)).\nAnswer: -49*sqrt(5) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/4)\/d))**16\/(d*d**0*d*d\/d**(-11)*d) assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 811*q**3 + 814*q**2 - 1624*q.\nAnswer: -q*(q - 812)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*y**5 + 4*y**3 - 4*y**2 - 40586*y.\nAnswer: -300*y**3 + 24*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 330966 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - q**3 + 12 - 4*q**2 - 10 + 2*q**2 as t*q**3 + w*q + h + u*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.187 (b) 2 (c) -16 (d) 4 (e) -5\/2 (f) -0.4 (g) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17887510 divided by -36730\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 1\/8, -23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.841 (b) 0.3 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 1453 = -5*o - 9*h, 3*o = -3*h + 861. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -576, -0.2 in decreasing order.\nAnswer: -0.2, -8, -576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)\/((-4)\/(-12)). Let s = p - -2. Let j(g) = -5*g - 2. Let u be j(0). What is the second smallest value in 3, s, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:41 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*s + 40*s - 11*s**2 + 60*s**4 + 814*s + 622*s + 256*s wrt s.\nAnswer: 720*s**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 17100?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffsff. Give prob of sequence fs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2147.0151 months to millennia.\nAnswer: 0.178917925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(605) + -2)**2 + 4 - (6*(-1*sqrt(5))**2 + sqrt(80)*-2).\nAnswer: -80*sqrt(5) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.4 - 26. What is the third smallest value in -0.4, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(292\/(-146))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 8*s**2 - 2*s. Let k(y) = -6*y - 4. Calculate the lowest common multiple of k(-4) and b(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.377036m to micrometers.\nAnswer: 6377036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/2435 (c) 4\/3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/(i**(-1\/8)*i)*i*i*(i*i**12)\/i*i**(-23))**(-36) assuming i is positive.\nAnswer: i**(663\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994980013 a multiple of 12297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 17 + 3. Let n(w) = -6*w + 3 + w**2 - 1 + 2*w - 2*w**2. Let h be n(f). Put -5, 4, h in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367\/1083 + -328517\/1108992. Find the common denominator of l and -151\/1920.\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971520 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/32 + (-6)\/(-4) - -4. Let v be (0 - 1 - 3)\/2. What is the closest to c in 1, v, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 8016450.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 11*h + 20. Let k be d(-13). Is (-8)\/(-16) - 615*3\/k a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/55248 and 71\/12?\nAnswer: 55248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from uyuuuuyuuyuyuuuyuy.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2 - 2*t + 0 + 5 + 7*t + t**2. Calculate the remainder when (-3)\/(1\/(78\/(-9))) is divided by d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 - 3. Let y(f) be the second derivative of -f**3\/2 - 240*f + 2. What is y(w(m))?\nAnswer: -21*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 608 or 606?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001000010 (base 2) in base 3?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69440.90607 + 0.5.\nAnswer: -69440.40607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159658404 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16136\/5 + -3238. Let d be (226\/4)\/(1\/(-4)). What is the common denominator of l and d\/(-20) - (-12)\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -337 - 39. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-2)*2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*h + 22 = 0, -5*s + 7 = 5*h - 3. Let r(o) = -16*o**2 - 7*o - 10. Let g be r(-2). Let d be -3*((-184)\/g + s). Sort 0, -2, d in descending order.\nAnswer: 0, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*c + 155*c - 30*c - 270*c.\nAnswer: 194*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4451*k**2. Let t(d) = 480*d**2 + 446*d**2 - 928*d**2. What is s(t(g))?\nAnswer: -17804*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 2, -47, -122, -229, -374, -563, -802?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/4 - (-3)\/(-12). Let z = t - -12. Let w(n) = n**3 - 6*n**2 - 7*n + 6. What is the lowest common multiple of w(7) and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:56 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 + j**5 + (2028*j**2 - 2028*j**2 + 38*j**3)*(0*j**2 + 3*j**2 - j**2).\nAnswer: 77*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 3, -7 in descending order.\nAnswer: 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11625.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 = -9. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 15. Suppose -3*i - i + 64 = s*q, 0 = 4*q + 2*i - 50. Let z = -3 + q. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 461 + 5318. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 6*z**2 - 3*z - 6. Let m(p) = 483*p - 80652. What is the smallest common multiple of m(167) and b(-5)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -745237*a - 8942856. Determine v(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/17 >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075289 to 4 dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u**2 + 2*u - 2. Suppose 6*v = 11*v - 10. Suppose f - 6 = -v*f. Let h be w(f). Calculate the highest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1152\/1080)\/(-8*5\/(-330)).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 12. Does 11 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -7444.\nAnswer: -7444, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3) + (-1)\/3. Suppose 2*b + 5*w = -10, 1 = 2*b + 2*w - s. Let d(o) = -o**3 - 5*o**2 - o - 3. What is the remainder when b is divided by d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(16\/3)*h*h*h\/h**(4\/3))**5)**(-2\/85) assuming h is positive.\nAnswer: h**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/34 + (-2800)\/476.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383516665?\nAnswer: 5, 7, 41, 267259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/8152 and 4\/104957?\nAnswer: 839656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**0\/j*j))**(-8\/11) assuming j is positive.\nAnswer: j**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) 0.4 (b) -54966 (c) 0.5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 842.88 + -843. What is the second smallest value in 3, -0.8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*q + 1945*q**2 + 27*q - 9*q - 2 - 2*q - q**3 to l*q**2 + x*q**3 + u + i*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {k: 4, b: 4, x: 1, y: 3, v: 2, t: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*p - 35, -2*o + p - 4*p + 7 = 0. Suppose 21 = -o*z + 10. What is the common denominator of 11\/(-30) - z\/(3\/6) and -37\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/20 - 5*i**4\/12 - i**3\/3 + i**2\/2 + 6*i + 3. Determine c(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v**2 - v + 1. Let f(h) = 30*h**3 - 2*h**2 + 45*h + 2. Let q(k) = 2*a(k) - f(k). What is the second derivative of q(u) wrt u?\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6055 - -6062. What is the remainder when 69 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(2 + (sqrt(153) + 0)**2).\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 3. Suppose m = -3*h - 23, -4 = -h + 5*m - 3*m. What is the remainder when n(h) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*m**3 - 122*m**2 - 10*m.\nAnswer: -1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 323210553 - -50?\nAnswer: 323211043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2172*y - 10150 - 44150 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12*q = -7*q + 188, q + 172 = z. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 + 3*r**2)*(-3 + 3 - 3)*(-2*r - 7*r + 2*r).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -13 + 33 + 29?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77615.35 and -0.06.\nAnswer: -4656.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 28*t**3 + 164*t**2 + 132*t = 0. Calculate t.\nAnswer: -3, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712335?\nAnswer: 3, 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3 - 10*d**2*m - 2*d*m + m + 4 wrt d?\nAnswer: 24*d - 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 15. Let u be (-2)\/s + 1\/3. Let y = -16.6 + 17. What is the closest to u in -0.1, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -25) + -13 + -8 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2605, -3513, -4421?\nAnswer: -5329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = -0*q. Solve -4*w - w - 26 = -q*r, -3*r = -4*w - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**4 + 6*s**4 + 0*s**4 - 3 + (-2 - 1 + 1)*(7 - 4*s**4 - 7).\nAnswer: 7*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-97 + 1)*30\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - t = -118548 + 118569, -n - 87*t - 92 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -3, 0.15, 0.033, 1, 3?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + u**3 + 2*u**3 + (-u + 2 - 2)*(-2*u**2 + 0*u**2 + 0*u**2) - 3*u**3 - 21*u**3 - 17*u**3.\nAnswer: -38*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001944?\nAnswer: 2, 7, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992382.\nAnswer: 2, 3, 165397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 145. Let i = -51 - a. Solve 0 = 2*u - 5*v + v - 14, -2*u = -2*v - i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Suppose l*i = 6 + 4. Suppose 5 = i*x - 33. Solve -5*a - 35 = 2*m, -5*m - x = 3*a + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -3, -5, 0.203351, 1\/2?\nAnswer: 0.203351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/2 + 23\/18. Sort -2, 1, 0.2, u in decreasing order.\nAnswer: 1, 0.2, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/85 - -156\/595. What is the second smallest value in 5, h, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2. Let p be (-2 - 2)*180\/(-15). Let b(q) = -31*q + p*q - 25*q. What is c(b(d))?\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*d + 43, 3*q = -76*d - 9*d + 97*d + 135 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 1\/5, -17518?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053911.\nAnswer: 19, 55469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 3*o**2 + 3*o**2 + 5 - o**3 + 4*o + 3*o**3 + 4*o**2. Calculate x(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:27 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 10*l + 66 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*((sqrt(330)\/(sqrt(6) + sqrt(54)\/sqrt(9)) - sqrt(55))\/sqrt(5) - (1 + (sqrt(66)\/sqrt(6) + sqrt(11) + -1)**2)).\nAnswer: -42 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24*y - 59. Calculate j(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)\/(r\/((r**(-3)*r)\/r))*(r\/r**(-2\/13))\/((r\/(r\/(r**13*r)))\/r*r) assuming r is positive.\nAnswer: r**(-1945\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:07 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 1978704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402956 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 1}. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 7 - (-11 + 2 + 38)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/2653 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 c when four letters picked without replacement from erercrerceeurcmue.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105.362804 rounded to zero decimal places?\nAnswer: -3105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 911 and 6858919.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -46. Let b(q) be the first derivative of 19*q**2\/2 - 13*q - 10. Let m(x) = 3*x - 2. Determine n*m(k) - 6*b(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-9*x - 260 + 260) - 3*x + 2*x + 2*x + (x + 0*x - 2*x)*(-2 + 3 - 2).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341584900 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2894243 is divided by 495?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 + 2*p**3\/3 - 2*p. Let b be (24\/(-6))\/(-2 + 1) + 5. Let y(k) = -2*k + 13. Let r be y(b). Determine a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 105 + 96 = 0. Let d(z) = 14*z**2 + 2*z - 5. Let m be d(-5). Suppose -y = -4*g - t, -5*y = -g - 3*g - m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16131449 is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0)\/(81\/3024). Suppose 33 - 24 + 6*y + 109*y**2 - w*y**2 = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 636 or 634?\nAnswer: 634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/5*(-105 - (-6594)\/63). Factor 48\/5*g**2 + 54\/5 + 21*g - q*g**3.\nAnswer: -3*(g - 18)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b + 1. Suppose m = -4*m - 15, 0 = -5*o + m + 78. Suppose -5*w + s - 12 = 0, 4*w + 2*s = s - o. Determine g(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -621 - 1?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 16*f**2 + 34723*f\/3 + 23210.\nAnswer: -(f - 165)*(f + 2)*(f + 211)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-6\/5))\/x**(2\/9))**(-5\/6))**(-7\/2))**18 assuming x is positive.\nAnswer: x**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) - (sqrt(576)*3 + sqrt(576)) - sqrt(576))\/((sqrt(72) - sqrt(72)*3)\/sqrt(6))*-1.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z**2 - 4*z**2 + 2*z**2 + (2*z + z - 2*z)*(-3*z + 5*z - z) - 14*z**2 - 2 + 2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240.37*1360.\nAnswer: 1686903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 5*m + 5. Let d be b(4). Let r be (-16)\/(-3) - d\/3. Suppose -1 = -c - 2*y, -12 = c + r*y - 1. Solve 7 = -2*f - 4*j - 5, -j = -f + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2189 + 1397 + 1411)*(-4 + 2 - 1)*(-y + 2*y + 0*y).\nAnswer: -1857*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272\/170*(-750)\/(-40).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffsy when four letters picked without replacement from ffffffyfyfsfyyyyyf?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s**2. Let m(h) = 5*h**2. Calculate l(m(t)).\nAnswer: 475*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110110010 (base 2) in base 9?\nAnswer: -4086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 836, 1933, 3758, 6311, 9592, 13601, 18338?\nAnswer: 23803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7270*o - 7296*o = 598 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-3*h**4 + h**4 + 0*h**4) - 3*h**4 + 6*h**4 - 2*h**4 - 2*h**4 - h + h + (65 - 65 - 49*h**3)*(-31 + 31 - 9*h).\nAnswer: 436*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 63?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u - 80. Let s(f) = -9*f + 53. Let w(q) = 5*k(q) + 8*s(q). Let a be w(13). Sort -5, 5, a in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764958700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o**2 - 10*o + 1224. Let n(d) = 3*d. Calculate n(u(r)).\nAnswer: -45*r**2 - 30*r + 3672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 3. Determine z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9720\/33858 + 4\/(-22)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-2) + (-5473 - -5460)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56426, -56347, -56276, -56213, -56158, -56111?\n\"Answer: -4*d**2 + 91*d - 56513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 6*j - 4. Let d be l(-4). Suppose 0 = -g + 5*v - 8, g - 7*v + 11*v = 10. Solve 14 = 3*t + g*r, -r + d*r = -5*t + 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ba + 1aac3?\nAnswer: 1b09d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1703\/4 - -430. What is the common denominator of ((-2)\/50)\/((-6)\/645) and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g + 6*g. Let l be (g\/2 + -2)*-2. Let p(b) = 9*b + 2. Is 13 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 18*d + 3. Give b(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*w**4 + 23502*w**3 - 11935849*w**2 + w.\nAnswer: 2232*w + 141012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (3 + -1 + (-18 - 28) + 38).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/3 - u**2\/2 + 3*u - 4. Let b be n(0). Let r = 8 - b. Let k(y) = -y + 5. Determine k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 103286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/3 + o**3 + o**2. Let m = 104 - 99. Is c(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11235643 - 2*v**3 - 11235641 + 0*v**3.\nAnswer: -2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25838662 by 12919331.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*n + 0 + 30 = 0, 0 = -4*x + 3*n + 3. Let g be -2 + 1 - -2 - -1. Put g, -5, x in increasing order.\nAnswer: -5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*r**3 - 20729 + 20729.\nAnswer: 433*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1010)\/17925*(-36)\/(-48) and -19\/6?\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6750*f + 509*f**2 + 6750*f.\nAnswer: 509*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6444, -12875, -19308, -25743, -32180, -38619?\n\"Answer: -a**2 - 6428*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 236.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 25*n + 8. Give c(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -66334*b + 1724682. What is q(26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/(-7920)*40)\/(16\/(-3)). Which is the closest to -1\/3? (a) -3 (b) w (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 310262052 + -6?\nAnswer: 310262044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/3 + 2*p + 10. Let o(r) = -18 + 12*r + 9 + 0*r. What is o(u(j))?\nAnswer: -24*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/11 + 40*d - 2200 = 0.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 326, 0, -5 in increasing order.\nAnswer: -5, -4, -1, 0, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -34*g**2 - 132*g - 95. What is h(-6)?\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2*x. Suppose 4*y + 4 = -4, 0 = x*m + y - 18. Let s(p) = p**2 + 3*p - 6. Let l be s(-5). Which is greater: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 810074, 810077, 810080, 810083, 810086?\n\"Answer: 3*o + 810071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22441, -22414, -22325, -22144, -21841, -21386, -20749?\n\"Answer: 5*m**3 + m**2 - 11*m - 22436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from {f: 1, r: 1, q: 3, y: 2, p: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -4819\/37. Do o and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100.2 + 100. Let l = 4175\/3 + -1391. What is the nearest to d in l, 1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 3. Let k(h) = -34*h - 14. Let b(p) = -3*k(p) - 14*z(p). Let s(x) = x. Let o(t) = b(t) - 3*s(t). Let l(q) = 2*q**2. Calculate o(l(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v + 1. Let i(x) = -16*x + 2. Let r(d) = 2*i(d) - 5*j(d). What is r(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**3 + 5*i**3 + 51*i**3 + 2*i**2 + (i - 3*i + 0*i)*(0*i**2 + 2*i**2 - i**2) to g*i**3 + l*i + t*i**2 + q and give g.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23030138 to the power of 1\/2, to the nearest integer?\nAnswer: 4799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccocoocoooooco. What is prob of picking 1 o and 2 c?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 169*w**3 - 4*w**2 + 3*w + 2. Let x be i(2). Suppose 0 = -2*y + 18*y - x. What is the remainder when y is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1569, 1570, 1571, 1572, 1573?\nAnswer: 1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*n - 16, n + 53 = 5*g + 57 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1222*n**2 + 735*n**2 - 443*n**2 as k + y*n**2 + p*n and give y.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758514?\nAnswer: 2, 17, 51721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*t**2)*(-3 + 5 - 3)*(5435 - 4316*t**2 - 10852 + 5419) as m*t**3 + x*t + l*t**4 + g*t**2 + r and give l.\nAnswer: -8632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 290619138*b**2*j**3 + 3273*b**2 - 5*b*j**2 - j**2 + 34*j - 1 wrt j?\nAnswer: 1743714828*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.001 or -41\/4?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32531, 32541, 32563, 32603, 32667, 32761?\nAnswer: 32891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/3, -571.\nAnswer: -571, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119663 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**5*f**2 - 1926*c**4 - 82*c**2*f**2 - 256*c**2 wrt c.\nAnswer: -240*c**2*f**2 - 46224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from cczdddcszddq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.94 - 7.89. Let d = m + -1.17. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 725 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1560\/455*(-14)\/4*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2. Let t(b) = 410*b. Calculate u(t(o)).\nAnswer: 1008600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + (-27 - -3 - (46 - 118))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153, 2\/2999, -0.7, -2\/11, 4\/5?\nAnswer: 2\/2999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 - 13 + w + 3*w**4 + 0 + w**3 + 11 + 0*w as l*w + d*w**2 + j*w**3 + h*w**4 + z and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3*p)**(-7\/3))**(-7\/8) assuming p is positive.\nAnswer: p**(245\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.90356 and 0.05.\nAnswer: 0.545178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**2 - 22 + 19*g - 16*g - 4*g)*(-5 - 3*g + 5).\nAnswer: -42*g**3 + 3*g**2 + 66*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85 + 24*i + 164 - 99 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65.736 - -5.\nAnswer: -60.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**2 + 4*i**2 - 29*i**2)*(-227*i + 227*i - 50*i**2) to the form u*i**3 + d*i**2 + j + k*i + x*i**4 and give x.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/14 + (-15)\/(-35). Suppose -5*v = -4*v + u. Let k(o) = 6*o**2 - o. What is the tens digit of k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crjcyqrjbrc. Give prob of sequence yq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327*-17.7.\nAnswer: 5787.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -121131?\nAnswer: -121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - 60 = -40 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4332.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*k*s**2 + k*s - 347189*k - 2*s**2 - 359*s wrt s?\nAnswer: -18*k*s + k - 4*s - 359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0*l**2 + 0*l**5 - 4*l + 0*l**3 - 7\/30*l**6 - 1\/3*l**4 + 0. Find the third derivative of f(g) wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-510)\/15 - -45 - (4 + -1 - 335). Suppose 7*a - 3*a = 84. Calculate the greatest common divisor of a and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157 or -109?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -76*y**2 + y + 6. Let m be v(-5). Is (6\/(-9))\/(6\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 1. Let a be (2 + -1)*15 + -1. Suppose -u + q = 3*j + a, 0 = 4*j + 20. Solve u*p - 1 = 3*k + 3, 0 = 2*k + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 97*f - 98. Let c be b(98). Sort -24, 0.2, c in decreasing order.\nAnswer: 0.2, c, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**2 + 44*m + 10. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34546176 to the power of 1\/2, to the nearest integer?\nAnswer: 5878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/259, -2, -1\/7, -1\/2?\nAnswer: 1\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 55*l**2 + 123*l + 269. What is the tens digit of s(54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:50 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.22 (c) 1.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 325.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let g(k) = -8*k. Let u(b) = 3*f(b) + g(b). Find the second derivative of u(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.86 and 12931.\nAnswer: 11120.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1350, 1347, 1344, 1341, 1338, 1335?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.47 from -575.\nAnswer: -567.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -21102203323?\nAnswer: -21102203321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 24 = 6*p. Solve -13 = p*a + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42280626247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-24) + (-2)\/(-12). Let o = j - -1. Suppose 4*s + o = s. Which is the nearest to s? (a) -0.4 (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*70\/(-20)*(-6)\/(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 22 + 10*f**2 - 2*f**2 as o*f**2 + r*f + g and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 36*n**2 - 1516*n - 13920.\nAnswer: (n - 30)*(n + 8)*(n + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*s + 5 = 0, -5*u = 4*s + 5 - 6. Let l be ((-4)\/(-5))\/(801\/90 - 9). Sort l, u, -2 in descending order.\nAnswer: -2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4 + 788*c**3 - 750*c**2 - 29084*c - 27545 = 0.\nAnswer: -5, -1, 7, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:13 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 1. Let p(v) = -1 + 6 - 4 + 0. Suppose 3*y - 5*a + 12 = 0, -3*y = -2*a - 25 + 28. Give y*b(j) + 4*p(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49595112 divided by 6?\nAnswer: 8265852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 468 - 3?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -713186215 by -5.\nAnswer: 142637243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 18. Let w(m) = 4089*m**2 - 2 - 4088*m**2 + 2. Give l(w(d)).\nAnswer: d**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26\/3)*p)\/(p*p*p**(-3\/10)) assuming p is positive.\nAnswer: p**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 4*g + 20, 4*o + 4*g - 8 = 0. Suppose -12 - o = -4*b. Find the common denominator of 16\/b - 56\/19 and 53\/11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (0 + -1)*-2. Let i(k) = 8*k**2 - 4*k + 3. Let c(d) = 9*d**2 - 5*d + 4. Let l(q) = -4*c(q) + 5*i(q). Is 6 a factor of l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10) - ((-56)\/30 - -2). Suppose -11*n - 100 + 584 = 0. Let d be (50\/36)\/1 + n\/(-198). Which is the closest to -0.2? (a) 1\/4 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319794 a multiple of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.12. Let s(j) = j**3 - 14*j**2 + 13 + 0*j**2 + 13*j**2. Let f be s(0). Which is the third biggest value? (a) -0.1 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 0*h**4 + 0 - 5*h**2 - 31*h**2 + 4*h**4 - 1 + h - 6*h**4 to c*h**3 + x*h + i*h**2 + n + l*h**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let l(u) = -u**2 + 7*u - 4. Let h be l(i). Let k be (-4)\/(-6) + h\/(-12). Which is smaller: -1\/2 or k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**2 - 32*s - 12. Let r be p(6). Let l be -6 + 2 - 13\/((-234)\/r). Determine k so that -6*k**3 + 22\/3*k**4 + l*k**2 - 8\/3*k**5 + 2\/3*k + 0 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*m - 2, -1 = -5*m - 21. Suppose -y*k = -0*k - 4*w - 4102, 3*k = -5*w + 6164. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/52*8\/96*-6*12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {o: 3, f: 4, i: 9}?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 548640481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 383 = 3*b, w - 60 = -4*b + 20. Suppose 3*c - w = -c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(8)\/sqrt(4) - sqrt(14)\/sqrt(7)*4) + 2 + 1 + -3)**2.\nAnswer: 24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170*r**2 + 2011*r + 22.\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1405456 (base 7) to base 9\nAnswer: -314247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**4 + 4*w**2 + 3*w. Let l(i) = i**4 - i. Let d(q) = -h(q) - 3*l(q). What is the third derivative of d(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111001 (base 2) in base 8?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/28)\/(-1)*(-7)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrd when three letters picked without replacement from {d: 5, r: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.00536 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 0 - (-86 - (6 + -8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1\/(69\/(-12) - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 + 7*q - 6. Let s be h(6). Suppose 2*a + 4*m - 4 = s, 4 = 5*a + 4*m - 0. Let o(u) = u + 31. What is the units digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218270960.07 - 506.\nAnswer: -218271466.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 49*u**2 - 255*u + 51. What is the lowest common multiple of 30 and k(43)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 24780*g**3 - 3*g.\nAnswer: 24780*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*m - 54, 3*m - m + 6 = 0. Let s be d\/(-2)*4\/3. What is the remainder when (-992)\/s + (-9)\/(-63) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, 1847, 3114, 4655, 6470?\nAnswer: 8559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225358.7 centuries in months?\nAnswer: 270430440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 662 or 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17366)\/(-112879)*(-754)\/(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 13*c**2 + 34*c + 28. Calculate n(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00121874547 to five dps.\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 35470*b - 125128968.\nAnswer: -2*(b + 4859)*(b + 12876)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6*a - 3*i + 12 = 0, 4*i - 11 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Let o(j) = 33124*j**2. What is l(o(a))?\nAnswer: -66248*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-3))\/((-104)\/24*(-28)\/364))\/164\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2 + 3 - 2 + 3 - 4*l. Let s(k) = 5*k - 2. Suppose 7 = -4*q - 5. Calculate q*s(r) - 4*o(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.66 - 0.1.\nAnswer: 11.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15521586 and 0.1.\nAnswer: 1552158.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 1, g: 1}. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h**3 - 640*h**3 + 0*h**2 + 0*h**2.\nAnswer: -693*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 904595, 1, -3.\nAnswer: -3, 1, 904595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2109 and -3113?\nAnswer: 6565317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-560 + 1119 + 209*o - 560)*(-3*o**3 - o**2 + 2*o**2 + 2*o**3 + (2*o**3 + 2*o**3 - 5*o**3)*(0 - 2 - 1)).\nAnswer: 418*o**4 + 207*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151473 + 11937 = -1348*b + 3789*b + 4903*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - sqrt(68)*-3) + sqrt(68) + sqrt(68))**2 + (-1*sqrt(2057))**2 + 4 + 3 + (-1*-2*sqrt(17))**2.\nAnswer: 5464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4502, -9002, -13502, -18002, -22502, -27002?\nAnswer: -31502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 170 = -5*y + 3*c, 4*c - 47 = y. Let n = y - -49. Calculate the greatest common divisor of 220 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 48*k**2. Let s(o) = -8781*o - 15. Give s(m(z)).\nAnswer: -421488*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1309, 1311, 1313, 1315?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8*w**2 + 38*w - 24 = 0.\nAnswer: 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152*n + 99*n - 2*n**3 - 2390 + 1166*n**2 - 251*n wrt n?\nAnswer: -6*n**2 + 2332*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 2868699 = -11*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 3, p: 3, b: 4, t: 4}. What is prob of picking 2 t and 1 d?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -45*c**2 - 11694*c + 1219. Calculate u(-260).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 - 5. Let s(r) = -3 - 4 - w*r + 2. Let i be s(-5). Solve 3*j + 12 = 3*q, -5*q = -8*q + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000381079871 to five dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 - 23*w**2\/2 - 76*w + 546.\nAnswer: (w - 6)*(w + 7)*(3*w - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -749, -2628, 3, 4 in decreasing order.\nAnswer: 4, 3, 2, -749, -2628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -73, -163, -303, -499, -757, -1083, -1483?\n\"Answer: -d**3 - 16*d**2 + 9*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - 76\/24).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 24, -58, 9, -83?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34719*u**4 - 73068.\nAnswer: -138876*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((1*4)\/((-273)\/(2548\/28))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -8*k + 3. Let q = -16\/17 - -79\/102. Suppose 2 + 10 = -3*m. What is the second smallest value in k, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 c when four letters picked without replacement from licacaliaaaal.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 + 6*n + 5. Calculate o(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -47*c**2 + 2615*c - 1646. Give r(55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Let o(a) = a**2 + 5*a + 6. Let w be o(-4). Suppose -h*i + 29 = w*x - 5, -4*x + 63 = 3*i. Solve 2*v + v = -x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 - -250. Let i = 153.00146 - u. Round i to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-255)\/(-20))\/(-17))\/(6\/4). Let z be 24\/45 + 2\/(-5). Which is the closest to 0.1? (a) z (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998634 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5122248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203114, -203049, -202984, -202919, -202854?\nAnswer: -202789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + -4415?\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422409 - 191409. Round j to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 1601, 2377, 3151, 3923?\nAnswer: 4693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1387 - 1388. Are i and -45\/1087 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/(-29) - -30 - (-2 + 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316263 is divided by 316260.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 8*p**2 + 61*p + 159. Let a be l(-12). Sort -3\/8, a, -2\/13, 1.3, 0.1 in descending order.\nAnswer: a, 1.3, 0.1, -2\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8725, 2\/5, -6, -32 in descending order.\nAnswer: 8725, 2\/5, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 - 3 + 0*p + 74 + 13 + p + 38*p**3 + 55 wrt p.\nAnswer: 12*p**2 + 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-48))\/((-4)\/48)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let s = h + 0. Suppose -4*t + 7*t - 3 = s. What is the closest to -1 in -0.3, t, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(4\/(-12)) + 7. Suppose 3*r = -u*x + 56, 5*r - 3*x - x = 40. Solve -2*f + 2*y + 10 = -6*f, 3*y = -5*f - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:31 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 589*w**3 + 85*w**2 - 28*w**2 + 2*w - 28*w**2 - 31*w**2 to d + m*w**3 + x*w + y*w**2 and give m.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 7) to base 6\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3\/(-5))*(-2144)\/670?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b54823 (base 12) in base 7?\nAnswer: -33133620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (64\/20)\/(1\/20). Suppose 76 = 4*n - l. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/130*10*(3\/9 + 160\/(-12))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 2 = -3*b - 7*u, -6*b - 3*u - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -263 and 160.49?\nAnswer: -42208.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 3688983.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -4, 15\/173, 0 in ascending order.\nAnswer: -20, -4, 0, 15\/173, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + s - 9 = -1, 3*d + 5*s = 12. Solve -4\/9*m**3 - 2\/9*m**d + 4\/9*m + 2\/9 + 0*m**2 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.408 and -17015.\nAnswer: -17015.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442720621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(4 + (-15)\/(-18)) - 1*3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -15810 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/40*z**4 + 2*z**2 + 0*z + 1\/20*z**5 - 1\/10*z**3 + 3\/200*z**6 + 0. Suppose c(v) = 0. Calculate v.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 6 + 5*i**3 - 15 - i + 13 to the form c*i**2 + y + v*i**3 + s*i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3682796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.5277 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + c**2 + 0*c**2 - 2*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e06 + -3?\nAnswer: 3e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -22, -3, -40 in increasing order.\nAnswer: -40, -22, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(2*q + 1 - 1)*(-740 + 172 - 1069) to y + n*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.15. What is the second biggest value in 1\/4, a, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 730560*k + 26685895680.\nAnswer: 5*(k - 73056)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/15 + 208*q**3\/15 + 534*q**2 + 16008*q\/5 + 5184 = 0.\nAnswer: -24, -4, -3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1.66\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-21)*(1058\/69)\/(-23)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31983 and 247058014?\nAnswer: 10661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 3*n**2 + 2*n + 1. Let f be s(2). Let v be (6\/4)\/(2\/4). Let j be (-2)\/v - (-39)\/45. Which is the nearest to 0.1? (a) f (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(3*h + 0*h - 4*h) + (0*h + h + 0*h)*(-3 + 1 + 3) + 252*h - 149*h - 127*h to p + w*h and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**30)\/o**(-24))\/(o\/o**(-6\/7))**(1\/18) assuming o is positive.\nAnswer: o**(-643\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -23, -48, -81, -122, -171, -228?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1687 and -119\/1446?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113212103202 (base 4) in base 6?\nAnswer: 340331510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142 and -1.3.\nAnswer: -184.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -3*m**5\/100 - 3*m**4\/10 - 6*m**3\/5 - 12*m**2\/5 + 3*m. Let l(z) = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + u**2)*(-u**2 + 4 - 4) + 0*u**2 + 0*u**2 + 2*u**4 + (4 - 4 + 2*u**2)*(-u**2 - 3*u**2 + 6*u**2) + 3*u**4 - u**4 + 0*u**4.\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*u + 28, d - 5*u = 2*d - 24. Suppose -4*o - d*b + 4 = -2*o, b = -3*o + 6. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v - 37 - 108 = 89 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37035672 divided by -471\nAnswer: -78632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13*h**3 + 2*h**2 + 2*h + 2. Let n(t) = 12*t**3 - 3*t**2 - t - 3. Let k(s) = -3*i(s) - 2*n(s). Find the second derivative of k(o) wrt o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/2 + -4. Let d = 0.4 + -0.1. Let t be (-2)\/(-12)*-2*-6. What is the second biggest value in t, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcxw when four letters picked without replacement from fwpfwwcxfp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 23*r - 21*r = -19, 0 = 4*q - r + 85. Let w(h) = -2*h + 30. Let d be w(14). Sort 4, 5, q, d in increasing order.\nAnswer: q, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3 - 3*o**2 - 404*o + 4944 wrt o?\nAnswer: 6*o**2 - 6*o - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-48))\/(-3*(-15)\/54)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/4, -4323?\nAnswer: -4323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p + 2*p**3 + (4*p - 2*p + 2*p)*(5*p**2 - 1 + 1) - 3*p**3 + 10*p**3 - 17*p**3 + 4*p**3 + p**3 - 6*p**3 + 0*p**2 - p**3 + 0*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 0 - 1\/12*m**4 + 3*m**2 - 1\/6*m**3. Let y = -1 - -2. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5716.2 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14661 times 9779?\nAnswer: 143369919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4)\/4 - (-33 + 12\/3) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*(-13)\/1560)\/(1\/(-64))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*k. Let m(c) = c - k*c + 4*c. Let u(s) = 8*s**2. Determine u(m(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 43 - 65 = -10*x. What is the least common multiple of x and 407?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*r - 33 = -r, -11 = -h + 5*r. Suppose 22*g = 1796 - 608. What is the remainder when g is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232971123 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 4:47 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/(-10) + 210\/4)*2. Is 112 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23408 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*c**3 + 6 + 8 - 2*c**2)*(13*c + 15*c - 19*c)*(-2 + 5 + 6).\nAnswer: -243*c**4 - 162*c**3 + 648*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 3, m: 6, q: 7, l: 2}. What is prob of picking 2 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13355078 is divided by 339?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -47464\/9 less than -5274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1036.2*0.117.\nAnswer: 121.2354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 6. Let i be d(-2). Let z be (-6 - (-16)\/i) + 1*-2. Suppose -8 + z = -m - 3*n, -3*m - 9 = -2*n. Put -2, 3, m in decreasing order.\nAnswer: 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/4)\/(-20)*368\/(-161))\/(76\/190)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhxq when four letters picked without replacement from qxxrvhxhx?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 - 14*t + 22. Let w be v(5). Solve 3*n + 15 = -w*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -35) + (-2 - (27 + -2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*p + 1, 2*p + 2*f = -3*f + 21. Let s = 6 + p. List the prime factors of ((-25)\/s)\/(1\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 2747.\nAnswer: 16482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 119634*j. Let m(o) = 2*o. What is g(m(y))?\nAnswer: 239268*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 3, z: 1, s: 1, r: 5, x: 1}. What is prob of picking 1 z and 3 f?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248106 and 2?\nAnswer: 248106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3\/7, 2, 1, -1\/5.\nAnswer: -1\/5, 3\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454771 is divided by 484917.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481340 is divided by 12338.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = o + 406, -z = -52*o + 47*o - 374. Calculate the remainder when 2083 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*w**2 - 40486*w**2 + 3521*w**2.\nAnswer: -38064*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 427053?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 316, -4, 4, 0, -40 in decreasing order.\nAnswer: 316, 4, 3, 0, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*n - 205, -5*o + 0*o = -3*n - 390. What is the highest common divisor of 85 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, -5, -4, 4, -2\/3, -24, 3 in ascending order.\nAnswer: -24, -5, -4, -2\/3, 3\/10, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8457 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 5, u: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j + 1 - 33 = 56. Calculate the greatest common divisor of j and 222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 3. Let o(r) be the first derivative of 1\/3*r**3 - r + 0*r**2 + 10. Give -10*o(f) - 4*y(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101111001110110 - -1101011100?\nAnswer: 1111110000111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, 1\/6, -3, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11648 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 2*l + 7 = -5*q, -q = 2*l - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 2. Suppose 4*u - z = -22*u. Which is the closest to 0.2? (a) u (b) 0.1 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3838, 3, -2, -9, 1\/2, 5 in decreasing order.\nAnswer: 3838, 5, 3, 1\/2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from auauuauaauaaauuaaauu.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 - y + 1. Let k be d(1). Suppose 10 = 5*h - 20. Let u(b) = b**3 - 7*b**2 + 3*b + 12. Let o be u(h). Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2398 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1118*g - 4695. What are the prime factors of a(-12)?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 405 = 3*d - 132, 3*v + 171 = d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y - 141. Let u be w(15). Let o(v) = -2*v + 11. Determine o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:59 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 2*k - 40, -3*k + 175 = 4*u. Let i = u - 41. Suppose -3*q - 4*o = -7, 0 = q - i*o - 3 - 12. Let h(w) = -w + 6. What is h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169 - 453. Let x = -166 - h. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 79\/9 + 24\/108. Let w(u) = -16*u**2 - u - 5. Let i(y) = -3*y**2 - 1. Let c(k) = -11*i(k) + 2*w(k). Let a(r) = 2*r**2 - 5*r + 2. What is d*c(p) - 4*a(p)?\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q = v - 36*q + 6, -12 = 3*q. Let x(f) = -f + 10. Let l be x(0). Let p = l - 2. Solve 5*w - 3 + p = -5*m, v*m - 4 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 7\/5*f**2 - 12\/5*f.\nAnswer: -(f + 2)*(7*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.26*-0.31.\nAnswer: -0.3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -1110, -2097, -3454, -5169, -7230, -9625, -12342?\nAnswer: -15369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z**(-6)\/z*z)\/z*z)*z*z**(1\/8)*z assuming z is positive.\nAnswer: z**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771*d**2*y - 81064*d**2 + d*y + 17228887*y wrt d?\nAnswer: -1542*y - 162128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500217803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17860616, 35721227, 53581834, 71442437, 89303036, 107163631, 125024222?\n\"Answer: -2*h**2 + 17860617*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 776323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -175023 and 186.\nAnswer: -32554278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*k - 2*s, k = -137*s + 132*s + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 26 = -g. Let h = 284 + -180. Calculate the highest common factor of h and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 28*j - 5*w = -16, 3*w = -3*j + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((1 - -62) + -1)*(-137 - -153).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 13*s**2 - 6*s + 12. Let x be u(-7). Suppose -4*t + x = -3*t. Solve -c = -4*p + 3*c, -2*p + t*c = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114792344.1ns to weeks.\nAnswer: 0.00000018980215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 134525300?\nAnswer: -134525253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/68250 - -1831397\/1501500. Find the common denominator of 53\/110 and h.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 - -170. Solve -l + 5*l + m*g + 22 = 0, 3*l + 20 = -5*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678000 rounded to the nearest 10000?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1799799 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9231 is divided by 2635?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297 + 845*v**4 - 154 + 253*v**4 - 154 - 2*v wrt v.\nAnswer: 13176*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o. Let f = o - -1. Solve -n - 4 = -f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(704) - (-2*sqrt(704)*2)**2) + (-4 + ((-1*sqrt(704) + sqrt(704))**2 + sqrt(704) - sqrt(704)))*6 + 3.\nAnswer: -11285 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipllllplpliiippp. Give prob of sequence plpl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.197, -3, 8 in decreasing order.\nAnswer: 8, 0.197, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*d**2 + 2*d**3 + 0*d**3 + d**2 as l*d**2 + c*d + v*d**3 + k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let h = 1 - v. Suppose 2*u = h*g - 101, 5 - 74 = -2*g + u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Let b be 3\/2*(-6 + 2 - -12). Suppose -b = 7*n - 10*n. Is n bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 10 + 29 + -7 + -7. Calculate the greatest common factor of 50 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-15)*(49 - 34). Which is the closest to 1\/4? (a) 3 (b) k (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*p = 10, p - 22 = 14*j - 19*j. Let i(r) = -17*r + 5. Let w(c) = c - 1. Calculate j*w(m) + i(m).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*i + 24, -5*w - 2*i + 21 = 2*i. Let n be 0 + 12\/4 + w. Solve 2 + 14 = -n*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463009114787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -j - 0*j + 3*l, -4*j + 2*l + 20 = 0. Suppose -2*p - j*p = 35. Let y = -3 - 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: Let b be 5\/(10\/(-6)) - -6. Let q(d) = 1 + d - 2*d + 1 + b*d. Determine q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -32. What is the least common multiple of 6 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2802 by 6.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1701883141 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*h + 4 - 1 + 37*h - 3*h**2 in the form z + p*h**2 + x*h and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73 times 0.06\nAnswer: 4.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f**2 - 2*f - 10. Let m be d(-7). Suppose -7 - 5 = m*p. Let v(k) = -k**3 - 3*k**2 + 3*k + 4. Determine v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.86 or 0.064643?\nAnswer: 0.064643","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**47*(s\/s**(-1))**49*((s\/s**(-2))**(-7\/5))**(2\/55) assuming s is positive.\nAnswer: s**(26908\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 - (6 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 9031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6452*b - 3239*b + 1027246 = 0 for b.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1886385\/(-16893))\/(5\/(-3))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 234, 1, 546, -4 in ascending order.\nAnswer: -4, 1, 234, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11799, -23592, -35385?\nAnswer: -47178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 231594\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49856278 and 21.\nAnswer: -49856257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 486722167.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from tttttetttttettet.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -27*v**2 + 0*v**3 - 29\/5*v**5 + 63 + 0*v + 0*v**4. What is the second derivative of u(f) wrt f?\nAnswer: -348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1097, 4975, 11437, 20483?\nAnswer: 32113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**33\/z*z*z)\/(z\/(z*z*z\/z**(1\/28))))\/((z**(-15)*z)\/z**(-25)) assuming z is positive.\nAnswer: z**(727\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 6 - 3*y**4 - 3*y**2 + (-y + 5*y + 2*y)*(11*y - 11*y - 8*y**3) to z*y**4 + n*y + p*y**3 + v + g*y**2 and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 8)*(-2*q**3 + 2*q**3 - q**3)*(-4*q + 4*q + 2*q).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -97. Let q(y) = 7*y**2 - y. Let p be q(1). Suppose 2*l = p*l. Put s, l, 4 in descending order.\nAnswer: 4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 772 and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j = -3. Factor 0*m - 2*m**4 + 4\/7*m**j + 0*m**2 + 0.\nAnswer: -2*m**3*(7*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-78))\/((-1)\/(-4)*(-32)\/120)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 2, u: 6, a: 1}. What is prob of picking 1 p and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 8*f**2 + 10. Let r be k(8). Suppose -r - 22 = -a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**3 - 3*i**2 + 3*i - 2. Let c be b(1). Calculate the least common multiple of 66 and 6\/(1 + (-3)\/c).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**39\/((m*m\/(m**(-30)\/m*m))\/m*m*m**(1\/36)) assuming m is positive.\nAnswer: m**(-217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -806.8277 to 1 decimal place.\nAnswer: -806.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 c when four letters picked without replacement from ccccccllc.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 + -98. Let l = k + 197.1. Let i = l - 16. What is the nearest to -0.2 in -1\/3, i, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1005 - -1027. Let f be -12*(3 - h\/8). Suppose -4*w + 2*y = -56, -2*w + 30 + 14 = -5*y. Sort w, 0, f, 1 in descending order.\nAnswer: w, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3594*y**3*z**2 - 2*y**3*z - 25204*y**2*z - 2*z**3 wrt z.\nAnswer: 7188*y**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3 - 473208*v**2 + 18578826240*v + 6447235891200 = 0?\nAnswer: -344, 79040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.979058 years?\nAnswer: 0.00979058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672*b + 675*b + 21306 = 0. Let w = b - -11963. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*s + c, 94 - 19 = 3*s + 3*c. Let u = s + -6. Let o = -7 + u. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 1. Let m = -1.764282 + 6.764347. Let o = r + m. What is o rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16 and ((-38)\/12)\/(33\/(-27))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 39*f**2 - 45*f**3 - 21*f**2 - 15*f**2 to m + r*f**3 + h*f + s*f**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5950*w + 5976*w + 5*t + 100, -27 = 3*w - 2*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let l = m - -1. Let v(b) = -b**2 - 5*b + 3. What is the least common multiple of l and v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 37471?\nAnswer: 37471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2987 = -832*w - 16046 - 2599 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-20) + 0 - 60\/(-80)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 732 and (-390)\/(-28) - (-10)\/140.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z + 87*z = -55716. Let x = z + -4679. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + g + 0*g = 122, -3*l - g + 72 = 0. Let i = -12 + l. Let r = 11 + i. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*j - 140, 2*f + 0*f - 5*j = 56. Let m = f - 28. Let c = m + 3. Solve -2*s + 7 = d, 4 = -c*d + 3*s - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -22*m**3 - 2*m**2 - m. Let x be v(-1). Let n = x - 19. Suppose 0 = -n*g + 3*o + 103, -4 = -o - 3. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 5*w**2 - 2*w**2)*(-20 + 39 + 22).\nAnswer: 82*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798642 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + 5 + 1376*w - 23*w**2 - 1377*w - 21*w**2 to k + i*w + s*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176307 is divided by 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 82. Let j = q + 33. Let w be j - 2*2 - (-18)\/3. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275551 (base 8) in base 3?\nAnswer: 11221020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooooloooooooo. Give prob of picking 2 o and 1 l.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 798 - 797.6. What is the closest to 5 in l, -1, -1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let r(t) = 6*t**2 - 2*t + t + t. Calculate r(m(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 155.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56369815 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*z + 16 = 0, 3*z - 2 = 2*b + 6. Sort b, -3, -9 in increasing order.\nAnswer: -9, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + 5*k)*(-50*k - 75*k + 68*k)*(4 - 1 + 0).\nAnswer: -171*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-22))\/((-1728)\/(-3168))*-27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29230787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3122*o**2 - 12874*o + 1544 = 0 for o.\nAnswer: 193\/1561, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(o - 4*o + 4*o) + (1 + 2 - 1)*(-2 + 2 - 2*o) to the form s + c*o and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*p + 9 = 0, -3*s + 16 = p - 2. Suppose 0*n = 4*a + 5*n + 5, -s = -2*a - n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48197, 35898, 23599, 11300, -999?\n\"Answer: -12299*a + 60496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1242, -82 in ascending order.\nAnswer: -1242, -82, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 7 = 11. What is the closest to -1\/2 in -1\/3, 2\/9, -2, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i + 1. Let v be n(1). Calculate the highest common divisor of 60 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 1849*o**2 + 922*o**2 - 5*o + 924*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/3)\/(b*b**(2\/7)))**13\/((b**(-2\/3)\/b)**43*(b\/(b**(-3)*b))\/((b\/(b*b**0))\/b)) assuming b is positive.\nAnswer: b**(478\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-255 - 72 - 236)*(13*i + 25*i - 11*i) to the form d + g*i and give g.\nAnswer: -15201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1328183 + -20?\nAnswer: 1328163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1008)*-1 - sqrt(1008)) + -3*(sqrt(1008) - (sqrt(1008) - (sqrt(1008) + sqrt(1008) + 2 + sqrt(1008) + sqrt(1008)))) + sqrt(1008))**2.\nAnswer: 2808*sqrt(7) + 170433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -348.08461 and -4.\nAnswer: -352.08461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 655 and 88955419.\nAnswer: 444777095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 + 199. Let m be -2*t\/(-3)*(-16)\/(-232). Sort -3\/2, -2\/5, m.\nAnswer: -3\/2, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n + 36. Let i be w(-12). Calculate the highest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.66872 years in millennia?\nAnswer: 0.05066872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/270 - 155*t**4\/108 - 314*t**3\/27 - 13*t**2 - 7*t + 5. Solve l(m) = 0 for m.\nAnswer: -2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by -14?\nAnswer: 67\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3028, -3165, -3302?\n\"Answer: -137*u - 2891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.6 + 47.4. Let s = 59.59 - y. Let u = 0.590052 - s. What is u rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 1 e when three letters picked without replacement from {n: 4, a: 1, e: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5 + 6396878*w**4 - 2*w**3 - 6396878*w**2 = 0.\nAnswer: -3198439, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799*t - 1784*t - 945 = 0. Solve 17*q = -t - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 12:45 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d. Suppose -5*r - 5*b + 3*b + 241 = d, -5*b + 186 = 4*r. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260677\/180 - -4343\/3. Find the common denominator of 19\/636 and t.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142200 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 282 - 222 = 0. Let k = 14 + 2. Calculate the remainder when v is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d + 16*d**4 - 9*d - 5*d**4 + (2*d**4 + d**4 - 2*d**4)*(6 - 3 - 4).\nAnswer: 10*d**4 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -39077?\nAnswer: -39077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -11530?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from wzezqevzz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13215809721 + -781247760. Let f = w - 12434561910.00000049. Let k = 51 - f. Round k to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 24 - 80. Let j = 55 + t. Let p = -8 - -29. Calculate the highest common divisor of p and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12118581 is divided by 88.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g - 501. Calculate d(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*t - 15*t + 569049. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*42\/(-108)*-1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a0 - -5?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 199*w**6\/20 + w**5\/30 - 7*w**4\/6 + 8*w**3\/3 - w**2 + 11*w + 47. Find the second derivative of j(c) wrt c.\nAnswer: 7164*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.95 + -681.05. Let t = q + 373. Let y = -316.789 - t. What is y rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99448 is divided by 895.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 153291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 1\/4 (c) -3\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/720 + i**4\/144 - 8*i**2. Determine x, given that q(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321530, 321545, 321560, 321575, 321590?\nAnswer: 321605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millennium in years?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1 - (-16 + 15)) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 778644424*r - 37892946189143236 = 0 for r.\nAnswer: 97330553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 4*m**3 - m**4 + (3 - 3 + 1)*(4*m**4 - 6*m**4 + m**4) - 2*m**4 + 14*m**4 + 13*m**4.\nAnswer: 23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 0)*(-89)\/12 and 51\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 76145*a**2 - 289941120*a + 289864980 = 0 for a.\nAnswer: 1, 7614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:55 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2cc - 2?\nAnswer: -2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 + -6 - -8) - (5 + -37).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963171?\nAnswer: 7, 283, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5070 + 5091. Solve -11 = -4*s - d, -d + v - 14 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/(26\/(-8)). Let a = 4334.9 + -4335. What is the second smallest value in -1, t, a, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from drqdr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15697 + -596. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -310, -313, -318, -325, -334, -345, -358?\n\"Answer: -f**2 - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*h**6 + 16*h**5 + 9261*h**2 wrt h?\nAnswer: 16320*h**3 + 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 533*h**2 + 0*h + 4 - 512*h**2 + 33*h in the form j*h**2 + p*h + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -24739 at least -5962092\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25 and -137.93425905.\nAnswer: -162.93425905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/39 and -51\/27170?\nAnswer: 81510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 - -118. What is the third smallest value in 4, 0.1, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121512583 is divided by 3404.\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(4*sqrt(135)\/sqrt(5))\/(3*sqrt(99)\/sqrt(11) - sqrt(9)) + -2.\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 85 = -13*m. Let l(q) = 8*q**3 - 6*q - 5. Let f(y) be the second derivative of -23*y**5\/20 + 17*y**3\/6 + 7*y**2 + 3*y. Give m*l(i) - 6*f(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -7. Let a be b\/(-6) + 23400002\/(-6). Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 77*w - 103*w - 2*w**3 - w**3.\nAnswer: -5*w**3 - 180*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*s + 3. Suppose 4*h = -4*y - 8, -6*h + 8 = -s*h. Let l = 6 + y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k**2 - 1. Let i(n) = n**3 - n**2 + n - 1. Let w(t) = -5*t**3 + 8*t**2 - 6*t + 4. Let x(l) = 6*i(l) + w(l). Calculate -2*p(j) + 3*x(j).\nAnswer: j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/81)\/((-1)\/(-45)*-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39104, 42097, 45088, 48077, 51064, 54049?\nAnswer: 57032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*f**2 - 366*f**2 + 728*f**2 - 23877*f**3 - 19223*f**3.\nAnswer: -43100*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6753 + -3630. Suppose -1089 + x = 6*g. What are the prime factors of g?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - sqrt(171)*-1) + -3)**2 - (1*(sqrt(133) - (sqrt(133) + sqrt(133)*-3)))\/sqrt(7)) + 3.\nAnswer: -39*sqrt(19) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 2.0574?\nAnswer: -2.4574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93947, 187999, 282031, 376043?\n\"Answer: -10*k**2 + 94082*k - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701458351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/120 + 22\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -763*1.30592.\nAnswer: -996.41696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i**2 + 4*i + 6. Suppose 0*b - 12 = 3*b. Let f be o(b). Suppose -t + 3 + f = 0. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -108.9. Let c = h - -5. Let f = -0.35 + -1.15. Are f and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*v = -30, -3*x + 13 = v - 3*v. Suppose -p - x = -6. What is the third derivative of -4*q**p - 5*q**2 + 5*q**5 + 6*q**5 - 4*q**5 wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 16*s - 1 + 10 + 2.\nAnswer: 16*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - -3) - -9 - (-283 + 286)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 84*g**2 + 528*g + 960.\nAnswer: 3*(g + 4)**2*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from xqtttaq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**11))**24\/((y*((y**(5\/2)*y)\/y)\/y)\/y*y**(-24)*y) assuming y is positive.\nAnswer: y**(571\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + 2 + 4)*1. Let z be ((-14)\/(-4))\/(u\/2). What is the hundreds digit of (-33 + (-4 - z))*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -23, -37, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - 12?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3652 and 1408?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z + 7. Let y be d(6). Let f = -9 - y. Suppose -4 = 4*g - 3*j, f*j = -2*g + g + 10. Solve 0 = -c, b - 4*c = 6 - g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(3\/2)*k))\/(k\/k**(-9)*k))**14*k**0*k*k\/(k*k*k\/k**(-3))*k**7*k*k**(2\/9) assuming k is positive.\nAnswer: k**(-1285\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 6:52 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.3. Let f = 0.38 + 0.02. Suppose -4100*d + 4104*d = 20. What is the second smallest value in 1\/5, o, f, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcf when three letters picked without replacement from {q: 1, f: 3, c: 1, h: 6, w: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*t + 1, t - 4*b - 6 - 7 = 0. Let a = 20.91 + -18.9. Let i = a - 0.01. What is the nearest to t in i, -1\/6, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 2*u**2 + 2*u**2)*(-9*u - 10 + 9*u - u).\nAnswer: 3*u**3 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4)\/(f**(-5)\/f*f))\/((f\/(f\/(f*(f*f**(1\/4)*f)\/f*f*f)*f))\/f)**(4\/7) assuming f is positive.\nAnswer: f**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498903037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-two fifths of a tonne?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242 - 127. Calculate the greatest common factor of 46 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 29 = 4*x + 32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 81 + 212680*v**2 + 162 - 212785*v**2.\nAnswer: -105*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 + -52)*(-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*h + 0*h + 1 = -29, -4*r - 3*h + 85 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, 1\/4, -8, 49223 in increasing order.\nAnswer: -8, 1\/4, 5, 20, 49223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let g(v) = -13*v**2 + 12*v - 5. Let i(k) = -4*k**2 + 4*k - 2. Let j(a) = 3*g(a) - 8*i(a). Let q(l) = -j(l) - 6*t(l). Give q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780757112?\nAnswer: 2, 97594639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 6. Let s(a) = -7*a + 11. Let y(q) = 11*b(q) + 6*s(q). Let w(n) = -3*n**2. Give y(w(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99 + k**3 + 10*k - 33*k + 102 + 8*k to the form v*k**3 + t + y*k**2 + w*k and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36172954 is divided by 426.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 384 + -380. Suppose -2*v = -x - 4, 5*x - 5*v + 4*v - 7 = 0. Solve -k*r = 0, x*n - n + 3*r + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/3 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -18, -441 in ascending order.\nAnswer: -441, -40, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 + -5.29. Put k, -7, 5 in decreasing order.\nAnswer: 5, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g + 100*g + 108 + 216 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346193 by 8051.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 863422.740036 - -0.3.\nAnswer: 863423.040036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.09, 0.5, -1\/4, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-1 - -21) + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvg. What is prob of sequence vg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-6)\/(-36)*6. Is 5 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4434 is divided by 128.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323483707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4210434*n + 18057044.\nAnswer: -4210434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*b = -9 - 1, 5*b + 23 = -4*k. Let o be 1\/k - (-1070)\/4. Round o to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 378, 845, 1498, 2337, 3362?\nAnswer: 4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49051027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 27, 2\/19, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 2*y**2 + 5*y - 22. Determine j(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -545, -782, -1177, -1730, -2441?\n\"Answer: -79*x**2 - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432316820.\nAnswer: 2, 5, 13, 1662757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 71 = 3398. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 1. Let n = g + 6. Let f = -1.1 - -1.3. Which is the second smallest value? (a) n (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2*-1 + (sqrt(450) - sqrt(450)*1)*-6)\/((sqrt(250) - -2*sqrt(250)*1 - sqrt(250))*-5).\nAnswer: 3*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 plus 830494577?\nAnswer: 830494415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7.8. Let k = -0.5 - c. Sort -0.2, 5, k in decreasing order.\nAnswer: 5, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 775, 1597, 2387, 3127, 3799, 4385, 4867?\n\"Answer: -3*m**3 + 2*m**2 + 837*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasaaaaaaaaaasaaa. Give prob of sequence saa.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -4487.\nAnswer: -152558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 2. Let q(t) = 25*t + 11. Let r(l) = 11*h(l) + 2*q(l). Let o(v) = 5*v. Calculate r(o(m)).\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*-2)\/(4\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10010000010110 (base 2) to base 13\nAnswer: 4288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(117\/(-27) + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*x**3 - 16*q**3*x + 5321*q**2*x**3 + 260*q**2*x**2 + q*x wrt x.\nAnswer: -18*q**3 + 31926*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*i - 3*y + 4 = 0, 4*i + 2*y + 14 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2651165, 5302344, 7953523?\n\"Answer: 2651179*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2475 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 66, 86, 134, 222, 362, 566, 846?\n\"Answer: 2*a**3 - 4*a**2 + 2*a + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130929881.\nAnswer: 130929881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 divided by 438?\nAnswer: 199\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3002403 (base 6) to base 2.\nAnswer: -100010010100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 229317.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4 - 12. Find the third derivative of -7*u**2 + u**2 + 27*u**s - 13*u**2 wrt u.\nAnswer: 648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 152, -4\/99, 1, -3, -1\/6, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -92, -74, -48, -14, 28?\n\"Answer: 4*c**2 - 2*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 8. Calculate the remainder when 17 is divided by ((-9)\/4)\/(w*4\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Suppose -96 = -4*w + 4*u, 51 = i*w - 2*u + u. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2 - 23*y - 1. Determine z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3309 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: Evaluate 25 + (-12 - (-7 + 19 - 13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127.0315 - -127. What is n rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 0.3. Let y = -104\/3 + 35. Suppose -3*s - 29 = -35. Which is the third smallest value? (a) v (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121.75 - 121.25. Which is the nearest to 2\/13? (a) -0.4 (b) k (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 32*m**2 - 9*m - 13. Let d(q) = q**3 - 10*q**2 + 2*q - 8. What is the lowest common multiple of g(-1) and d(10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 104. Suppose -2*w + s = 2*a, -3*w - 16 = -0*a - a. What is the greatest common factor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/24 + 4*a**2. Let p be n(-2). Find u such that 4\/3*u**3 - 1\/3 + 1\/3*u**p - 4\/3*u = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16*2505\/(-7560) + (1 - (-16)\/(-14)) and -149\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 914118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 415 divided by -415\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*n - 9 + 1, -n - 2 = 3*c. What is the first derivative of 10*d**4 - n - 4*d**4 + 5*d**4 wrt d?\nAnswer: 44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 1, q: 1, h: 2}. Give prob of sequence qdh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/264 and 21\/9236.\nAnswer: 609576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 + 2*m**2 + 3*m + 6. Let n = 11 - 13. Let z be x(n). Is -40 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*n + 42294 = -2958*n + 65715 + 98019 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/4 + 1\/8. Let n be (0 - 28\/70) + (-23)\/5. Which is the biggest value? (a) -93 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1573\/10 - 168. Suppose -160 = 6*m - m. Calculate the common denominator of (1 - 2) + m\/14 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 807*y + 347. Let t be h(-161). Solve -11*q + 30 = -t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 4, 2\/5, -5 in increasing order.\nAnswer: -5, 2\/5, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*w - 155*w = 96 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rybrkako. Give prob of sequence yror.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -5*i**4\/4 - i**3\/2 + i**2 - 1327*i - 1. Let z(a) = a. Give z(k(n)).\nAnswer: -15*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 454, -2 in increasing order.\nAnswer: -2, 0.3, 2, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from ciuehtci.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/t**(-7)))\/(t\/(t\/(t\/t**(2\/9))*t))*t**(-9)*t*t\/(t\/(t\/(t**(9\/5)\/t))) assuming t is positive.\nAnswer: t**(-656\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-36))\/((-3)\/36). Let t(q) = 0 + 0 + q - 2. Determine t(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 136260, -5 in descending order.\nAnswer: 136260, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 350214 + 16.5\nAnswer: 350230.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 4*w - 1. Let f be o(3). Let c = -7 + f. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -2*h - f + 259, 6*h = 38*f - 196 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g - 5*l - 38, 0 = -3*l + 6. Let b(o) = -77*o**2 + g*o**2 - 4*o + 4*o + 14*o**2. Let u(i) = 14*i**2. Give u(b(h)).\nAnswer: 3150*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -0.1047 (c) 0.2 (d) 10 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6938201827 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 19*p = -16*p - 5, -2*p + 15 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 6*t**2 - 4*t - 3. Suppose -2 + 0 = 2*y + 4*c, y + c - 2 = 0. Suppose y*f - 20 = 5. Is 2 a factor of v(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 5*x + 16 = 0. Suppose x*r = 3*r + 130. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -62.9. Let r = d - 6.9. Let p be (2\/(-8))\/(12\/16). What is the third biggest value in 21, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab (base 12) to base 3.\nAnswer: -101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -37\/6*q**3 + 35*q + 0*q**2 + 43\/20*q**5 + 0 + 0*q**4. What is the second derivative of j(z) wrt z?\nAnswer: 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*z**2 + 99979*z - 322 = 0.\nAnswer: -161, 2\/621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 9*v**2 - 38 + 3*v + 78 in the form x*v + d + q*v**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-4 - -5) - 14) + -380 + 360\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/38*(-4)\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 5*o**2 - 3*o + 4. Let y(t) = -t**3 + 4*t**2 - 3*t + 3. Give 3*k(v) - 4*y(v).\nAnswer: -2*v**3 - v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)**(1\/32))**(-2\/31) assuming s is positive.\nAnswer: s**(-1\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257025*f**3 + 45*f**2 - 42*f - 13.\nAnswer: -1542150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -23*c + 34*c. Solve -3*x + 11*h = 6*h + c, 5*h = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l**2. Let q be 0\/((-24)\/(-11) - (-12)\/(-66)). Suppose q = -4*r + 2*n, 0 = n - 4*n - 6. Calculate c(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 57.505.\nAnswer: -28.7525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -17. Let c(u) be the second derivative of -u**5\/20 - 3*u**4\/4 + 11*u**3\/6 + 10*u**2 + 17*u. Calculate the smallest common multiple of c(-10) and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 + 2*v + 3. Let f(u) = -21*u**2 + 5*u + 8. Calculate 4*f(i) - 11*x(i).\nAnswer: -7*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 9*a**2 + 9*a + 1. Determine x(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311893251 rounded to the nearest 10000?\nAnswer: 1311890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m\/((m**(-7)\/m*m)\/m))\/m)\/m*m)\/m*(m\/m**(-6\/5))\/m)**(31\/3)*m\/(m**2*m*m)*m**(-7)*(m*m**(2\/3)*m*m)\/m**(3\/5) assuming m is positive.\nAnswer: m**(1322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 * 567.111\nAnswer: 20415.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 5*t**2 + 5*t - 13. Let s be g(6). Let n = s - -54. What is the remainder when n is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9 = 11*m, -i - 8*m = -4*m - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 231569632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcac when four letters picked without replacement from cathhchhactdthhhdctc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 4*s, -13*x + 12*x = 4*s - 4. Solve 7 = -x*l - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(8)\/(sqrt(4)\/sqrt(2))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 538\/9. Let a = 19 + -23. Sort k, 0.5, a in decreasing order.\nAnswer: 0.5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/7 - 15896*u**4\/7 + 60691798*u**3\/7 + 19702344888*u**2\/7 + 1536243739209*u\/7 = 0.\nAnswer: -153, 0, 8101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8804970 to the nearest integer?\nAnswer: 2967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + -2 + sqrt(637))*4.\nAnswer: -22 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 3.313\nAnswer: -16.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.049, -0.5, -3, 0.1, 1, 1.43, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -200\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 23. Let y(a) = -a**3 - 61*a**2 - 130*a - 712. Let x be y(-59). Put -0.2, g, x in decreasing order.\nAnswer: g, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 38*c**2 - 604*c + 19708. Determine u(41).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from {y: 5, g: 1, v: 5, t: 8}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 9*u - 10. Let d be f(5). Calculate the greatest common factor of d and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -4*t - 130. Let m(y) = -15*y**3 - 13*y**2 - 2. Let s(n) = -7*n**3 - 6*n**2 - 1. Suppose -d + 2 = -4. Calculate d*m(c) + t*s(c).\nAnswer: c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**4 + 58*p**3 - 87*p**2 + 2*p + 47. Let i(g) = g**4 + g**3 - g - 6. Let m(b) = -a(b) - 3*i(b). Solve m(v) = 0.\nAnswer: -1\/2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -4 - (-71 + 0). Let j = -39 + c. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121947*o**2*v + 188*o*v - 273 wrt o.\nAnswer: 243894*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 42. Suppose -2*v = -4*g + 38 + 8, -3*v = p*g - 19. Is 11 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/253 in -9, 87, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291119 is divided by 1051.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 = -5*j + 5*q - 406 - 35, 5*j = 3*q - 226 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 + -277\/2. Sort a, 4, 1, 0.2 in decreasing order.\nAnswer: 4, 1, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39888 divided by 6.\nAnswer: -6648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-167440)\/5424) + 2\/65?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 - 86 = 0. Suppose 5*b = -5*a + c, -3*a + 76 = 3*b - 8*a. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 8:04 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003959 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(12) + (sqrt(189)\/sqrt(9) - sqrt(21))\/sqrt(7).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:11 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 5*p + 5. Let j be l(4). Let a = j - -1. What is the smallest common multiple of (8\/a)\/(4\/10) and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 340321 and 912.18288.\nAnswer: 341233.18288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 12, a: 3}. Give prob of picking 1 u, 1 t, and 2 a.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -152, 71, 720, 2041, 4280, 7683, 12496?\n\"Answer: 41*n**3 - 33*n**2 + 35*n - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 10*t**2 + 24*t + 4. Suppose 2*s - 12 = -4*x, 17*s - 54 = 12*s - 2*x. What is y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/4 - 7*d**3\/3 + 9*d**2\/2 - 8*d + 3. Let k be b(6). Solve 0 = -6*v + v + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8 + -4 - (-11 - -18)) + (-43 - 1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/32)\/(97\/(-1940))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.64 - 0.64. Let u = s - 67.6. What is the nearest to 0 in 3, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*t**4 - 1134*t**3 - 1084305*t**2 wrt t?\nAnswer: 6456*t - 6804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1112, 2227, 3342, 4457, 5572?\n\"Answer: 1115*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*k + 8962 = 1049*k - 3900 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 6 - 3)*(-2*s**2 - s**2 + 2*s**2) - s**2 - 2*s**2 + 0*s**2)*(5*s - 3*s + 0*s + (-2*s + 8*s + 2*s)*(5 - 5 + 5)*(-2 + 0 + 1)).\nAnswer: 190*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z**3 + 4*z**2 - 4*z + 109. Let w(x) = -5*x - 9*x**3 + 2*x**2 + 2*x + 73 + x**2. Let o(p) = 5*c(p) - 7*w(p). What are the prime factors of o(0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 20 = 4*k, 5*k - 2*l - 30 = -11*l - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 23373?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 467202158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 + -22?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/5 + 399*h**4\/5 + 13284*h**3\/5 + 25824*h**2 + 68640*h - 97200 = 0. What is h?\nAnswer: -10, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -533*c. Let i(d) = 3149*d. What is k(i(a))?\nAnswer: -1678417*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4350194011 and 0.2.\nAnswer: -0.2350194011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, -6\/11, -0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7802 + -62497\/8. Calculate the common denominator of r and (275\/(-15))\/(8\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 6, -206*x + 3 = -5*g - 204*x. Put -1, g, -4.2 in ascending order.\nAnswer: -4.2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*h + 256*h - 103*h - 92*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - j - 3. Let m be o(3). Solve m*t = t - 2*x, -4*t - 3*x + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1663 = 3*k - 3*g - 182, -g + 2 = 0. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(6)\/sqrt(3)))**2*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-189)\/42 - 7\/(-2). Is 1\/447 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u - u + 2*r, 5*r = 3*u + 18. Let n be -1 + u\/(4\/8). Which is the closest to n? (a) 5 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1 (c) 2\/1585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 5*a + 15*a + 22*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10365893 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-162)\/(-10) + (155\/(-25) - -6). Calculate the highest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28*c**3 + 4 - c**2 - 13*c**3 - 5*c**3 - 13*c**3 - 3*c. What is the tens digit of u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10698, 21398, 32098, 42798, 53498?\nAnswer: 64198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 10. Let y be k(10). Suppose 0 = -y*d - d + 28. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1061161 - 20155430\/19. Let k = 349 - h. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 55. Let f(y) = -y**3 + 2*y**2 - 2*y. Let x(a) = 2*a**3 - 5*a**2 + 5*a. What is o*f(j) + 6*x(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - -42. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 6542312?\nAnswer: 6542260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4*w - 17. Suppose -3*x + 3*f = -18, 4*x + 710*f = 707*f + 59. What is t(x)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 7*z**2 + 6*z + 2. Let x be l(6). Let w be ((-8)\/16*52\/2)\/(-1). Let n = w + -10. Solve -3*q + b + x + 3 = 0, -4*b = n*q + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**2 + 0 - 1\/5*o**5 + 2\/3*o**3 - o + 0*o**4 + 1\/15*o**6. Factor d(y).\nAnswer: 2*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 525?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25395\/30772?\nAnswer: 25395\/30772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*t + 14, -4*t + 20 = 3*c - 3*t. Let r = 9 - c. Let m = 8 - r. Solve -m*a + 3*f = -22, 0*a - 5*f - 10 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1580*o + 1609*o - 99*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from pppfpppffpppfpfppfp.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.414 - 1.27. What is s rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8551356 is divided by 2850445.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g + 4. Let u be (-216)\/(-40) - g\/5. Which is the smallest value? (a) -1 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5470800 and -0.2?\nAnswer: 5470800.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34450 (base 7) to base 13\nAnswer: -4015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0952 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20*((-1953)\/(-12))\/21 and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 15*n - 14. Give h(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**3 + 1. Let n(b) = -28*b**3 - 166*b**2 + 3. Let m(y) = 3*i(y) - n(y). Factor m(t).\nAnswer: t**2*(t + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*o - o - 21, -2*o + 10 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37327491*i**2 + 542183*i - 13 wrt i.\nAnswer: -74654982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/126*14\/(-35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6338 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2975, 3538, 4479, 5798, 7495?\nAnswer: 9570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-65)\/(-10) - 12\/8. Suppose -3 = -5*t + 2. What is the remainder when 69 is divided by 5\/(j\/24)*t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -150.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(6\/13)\/(z**(-3))**(3\/7))**20 assuming z is positive.\nAnswer: z**(4860\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 - 5 = 0. Suppose m*t = 2*x + 10, 5*t + 2 = -3*x + 3. Suppose 73*o - 61*o - 120 = 0. Calculate the lowest common multiple of t and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -171?\nAnswer: 41\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/11 and -209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20347782.\nAnswer: 2, 3, 7, 13, 83, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Suppose d = y + 1. Suppose -d*f + 28 = -5*a - 17, 4*a - 60 = -4*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40 - (-5 + 1 + 2). Let i = -23 + g. Suppose -3*x = -5*y + y - 20, 3*x - 5*y - i = 0. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, -1, -2\/9, 3329?\nAnswer: 3329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3664 and 868621732.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 3*u - 1, 2*r - 4*u + 4 = 0. Solve 5 = -r*p + 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lupuuppgppgl. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 23 = -4*o, -d + 6*o = 2*o + 17. Suppose 2*h + 0*h - 26 = k, 2*h + 46 = -d*k. Is 32\/18 - 4\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 123?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u. Let a(b) be the second derivative of 0*b**2 - 76*b - 1 - 19\/6*b**3. Determine x(a(f)).\nAnswer: -247*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/736 and 93\/44.\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 25 = 5*x, x - 2*x = -2*o - 13. Suppose x - 15 = -6*u. Let y(k) = -k - 7. Let r be y(-8). Solve -q = -u + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/10 - (-59313)\/(-6978))\/((-126)\/130 - -1).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220 and 10.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (20 + 9 + (-33 - -13)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8364a (base 11) in base 10?\nAnswer: -121901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67345 divided by 5.\nAnswer: -13469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 683965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55157\/7 - 7889. Let t = -17 + 7. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Suppose 8 = -2*r - c*r, -3*u + 56 = r. Calculate the greatest common divisor of 220 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 + -0.499. What is v rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d*d**(4\/3)*d\/d**1)\/((d\/d**(-7))\/(d**(-2\/13)*d))*(d\/(d\/d**(-3))*d)\/(d\/(d*d**(-2\/9)))*(d**(1\/4))**(-3\/11) assuming d is positive.\nAnswer: d**(-21163\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -5 (c) -4\/11 (d) -2\/19 (e) 3 (f) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51444473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -132, -1 in decreasing order.\nAnswer: 3, -1, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.81 + 2.81. Which is the closest to o? (a) 0 (b) -16 (c) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:34 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592224000 to the nearest integer?\nAnswer: 24336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16770 is divided by 118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 1652*y - 2796*y**3 - 6*y**2 - 1652*y + 1067*y**3.\nAnswer: -1729*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32144126.638 rounded to the nearest 100?\nAnswer: -32144100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949 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: Is 1003841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -181 times -1.1\nAnswer: 199.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose o*k = -4*r + 4, -3*k - 4 = 2*r - 10. Suppose 0*j = 2*j - k. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1. Let c(u) = -u + 7. Suppose -12 + 5 = -j. Suppose -56 = j*r - 11*r. Suppose -4*v = -0*v - 8. Determine r*p(a) + v*c(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from cqqcubxccbccucccu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655018009.\nAnswer: 41, 1223, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -116 (c) -2 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y + 28. Let u(l) = 4*l - 14. Give -5*u(a) - 2*z(a).\nAnswer: -6*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 86*s + 4 - 4 - s**3 + 3111822*s**2 - 3111795*s**2 + 38*s = 0. What is s?\nAnswer: -4, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 44 (b) 0.1 (c) -0.4 (d) -0.5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - p + 6*p - 37, -4*o + 3*p - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/1700*5)\/((-4)\/32*3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 + 5*x - 13. Let h = 0 + 3. Let z(v) = 6*v**2 - 3*v + 7. Let b(q) = h*p(q) + 5*z(q). Differentiate b(k) with respect to k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-1*(sqrt(2448) + -2 - sqrt(2448)))**2*-2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 370 + 282. What is the third derivative of -v**2 + n*v**5 + 12 - 577*v**5 - 1 wrt v?\nAnswer: 4500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10541 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -180511534*d**3*v - 194481*d**3 - 177*d - 1 wrt v?\nAnswer: -180511534*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 448541*m**2*p - 305056108*m**2 - 3*p**4 wrt p?\nAnswer: 448541*m**2 - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-27)\/(-10))\/((-356)\/(-18245)). Let x = l + -138. Suppose 3\/8*i**2 - x + 0*i = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628074.\nAnswer: 2, 7, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11. Let k = 593\/5 + -119. Let j = -7 - -2. Which is the nearest to k? (a) -3 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000164038739 rounded to six decimal places?\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960 is divided by 481.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 466283773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, -3, 0.3, 6, 2\/7, 133, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -145094.\nAnswer: 145093.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q. Let h(z) = 25*z**2 - z - 1. What is h(o(m))?\nAnswer: 400*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (9 - -3) + -2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.91221 rounded to 1 dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -427*b + 51247. Calculate r(120).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674850576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69759091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-16) - -1)*(11 + 1). Let k(m) = -m**2 + 19*m - 79. Give k(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18176319 is divided by 81.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/184 - 3384\/(-12972). Let k be 8*(1 + (-2)\/4). Which is the nearest to -4\/11? (a) -0.19 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*(p**(-23)*p*p)\/p)\/p))\/(p**(-10)\/p)*p**(6\/17)\/(p**(2\/37)\/p) assuming p is positive.\nAnswer: p**(22203\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7920)*-1)\/((sqrt(5) + sqrt(45))*2).\nAnswer: -3*sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/15*240\/(-384)*-26.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftz when three letters picked without replacement from txqffxfxfqzfzf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19721 and 148.\nAnswer: 78884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(-23 + 4 + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 19 + -11 + 8 - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -999 - -3925\/4. Suppose -4*f = -5*h + 66, f - 57 = -4*h - 0*f. What is the common denominator of (-20)\/h - (-2 + 3) and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-241 - -223) + (-1 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttisttsi. What is prob of picking 1 s and 1 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4016 + -3184. Calculate the greatest common factor of i and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. What is the third derivative of -j**6 - j**2 + 0*j**6 + 0*j**d wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + -124085?\nAnswer: -124130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:46 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2*5\/(-20)*-190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 233.13085 to 1 decimal place.\nAnswer: 233.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + -2. Let u = -0.1 - o. Let w = -0.1 - u. Put w, 0.1, -2 in decreasing order.\nAnswer: w, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 - r + 1. Let z(c) = -6*c**3 - 4*c**2 + 2*c. Let a(l) = -5*d(l) + z(l). Let p be a(3). Sort p, 9, -3, -5.\nAnswer: -5, -3, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/m)\/m)\/(m\/m**(4\/11))*(((m*m*m*m**7*m)\/m*m)\/m)\/m*m**(-4\/3)*(m\/m**0)**(3\/17)*(m**(2\/11)*m)\/m*m\/m**6 assuming m is positive.\nAnswer: m**(-2026\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -68.9456. Let a = -0.053993 + k. What is a rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915956621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -759, -3059, -6897, -12273, -19187?\n\"Answer: -769*b**2 + 7*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 12*c - 5. Give v(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 - f. Let k(z) = z + 7. Let i be k(-8). What is p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 111*i - 115*i - 2 + 45*i as c*i + s and give c.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/40 and 707\/(-14352) + (-32)\/624.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = 0, -7*d + 2*d - 5 = -5*t. Let i be (t\/(-3))\/((-32)\/72). Suppose i*z = 377 + 376. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/4383, 3, 5, 987?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:51 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1940018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(110) - -2*sqrt(110))*1)\/(sqrt(100)\/(sqrt(160)*-1)*1)*2.\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2462279000 to the nearest one million.\nAnswer: 2462000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14230 and 48382.\nAnswer: 241910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 28*m - 6. Calculate r(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j + 2. Let u be o(-9). Let d(g) = g**3 + 9*g**2 + 5*g + 3. What is the least common multiple of d(u) and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-51) + 4\/(-9). Let i = -66 - -68. Let f be (i\/24)\/((-2)\/4). What is the second biggest value in 3\/10, 4, s, f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -564 + 0?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1241)\/(-73) - (9 - 1). Solve a*o + 346 - 310 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 3)*(2 - 2 + u) + 3*u - 2*u - 5*u)*(-3 + 3 - 1) in the form a + y*u and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/5148 and -95\/1722812.\nAnswer: 170558388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 8 = 0. Let w = -4222 - -4219. Let j = 3.93 - 4. Which is the third biggest value? (a) 4 (b) j (c) w (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -88.7. Let c = 5 - v. Sort 4, c, 2 in decreasing order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11 + 7*j + 4*j - 10*j - 3*j. What is w(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from xeqzzkkg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 405420, 810841, 1216262?\n\"Answer: 405421*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159427\/2 + 79718. Suppose -u + 3\/4*z + 15\/4*z**2 = 0. Calculate z.\nAnswer: -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 24 = -6. Suppose h*x - 2039 = -368. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1819142 by -42.\nAnswer: 909571\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.285 + 0.015. What is the third smallest value in -0.5, o, -5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose -29*z - 92 = -27*z. Let w = z - -46. Is w equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33373033271\/1089 + -30645586. Let o = r + -13\/363. Is -10 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -186 (c) -6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 12. Suppose m = 28 - x. Suppose -5*l + 215 = 5*y, -3*l - 68 = -y - m. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/48 and 139\/29088?\nAnswer: 29088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -390*i**2 - 202*i - 24.\nAnswer: -2*(3*i + 1)*(65*i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498\/(-321)*6\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4478025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:47 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.92 and 2260.\nAnswer: 2261.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 4 + 4 + 3*j + 10.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24977613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629 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: Three letters picked without replacement from ccoocceaceammcecmoc. What is prob of picking 1 c, 1 m, and 1 a?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 = 3*h, h - 3*i - 64 = -3*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 149.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/((-3432)\/(-2032)) + 23\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -4*s + 47 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 19 = -6. Suppose 0 = 4*o + 5*i - 80, -5*i + 95 + u = 5*o. Solve r - 3*f = 5, -o = -4*r + 2*f + f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 8 = -2*s, 5*s - 23*o = 10*s - 9 - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20830805.\nAnswer: 5, 1009, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-31071)\/21 - -1)*14. Round q to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 + -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 43.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 126*v + 1 - 176*v + (-5*v + 2*v + 11*v)*(0 + 4 - 2))*(2 + 4*v**2 - 3*v**2 + v**2)*(0 + 5 - 3).\nAnswer: -136*v**3 + 4*v**2 - 136*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 73*j. Let o(v) = 9*v**2 + 6. Determine o(g(d)).\nAnswer: 47961*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 + 239. Calculate the greatest common divisor of 56 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p - 19. Let y be h(-2). Let s(x) = -12*x - 30. What is the tens digit of s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20130.7 - -20131. Sort -5, o, -31, -0.2 in increasing order.\nAnswer: -31, -5, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 14*w**3 + 2*w - 5 - 3 in the form h + q*w**2 + r*w + p*w**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/42*15\/(-2). Let q be (30 + -30)\/(2*-1). Suppose q = -6*f + i*f + 3. Solve -v - f*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1612 and 4?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 426 + -156?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-4)\/2*-7. Suppose -3*c - o = -2*p, c + 2 = 3*p - 5*p. Let i(z) = -z**2 - 3*z + 2. Calculate i(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4557*o + 3212 wrt o?\nAnswer: 4557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 244212*u**2 + 7455181824*u + 14909386816.\nAnswer: 2*(u + 2)*(u + 61052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-36)\/64*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 70 (b) -0.1 (c) 4 (d) -5 (e) 1.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3507 divided by 1\nAnswer: -3507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-69 - -53) - (1 + 14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203476 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -b39?\nAnswer: -b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g)**(-2\/53)\/(g\/g**1)**(-24) assuming g is positive.\nAnswer: g**(3\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2618, 4355, 6094, 7835?\n\"Answer: g**2 + 1734*g + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*s**3 - 3*s**2 + 106*s**3 - 11 - 33 to the form p*s**3 + t*s + a + v*s**2 and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) - (-38)\/171. Suppose z*d + 3 = 3*p - 4*d, 2*p - 2*d = 4. What is the third smallest value in 0.1, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -66*a. Let k(g) = -1135011*g**2 + 2. Give p(k(b)).\nAnswer: 74910726*b**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8270283 and 167\/230370?\nAnswer: 82702830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56056 + 100100. Suppose 0 = 45*j - j - a. List the prime factors of j.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**2 - 4*a**2 + 4*a**3)*(2 - 3 - 1)*(6*a - a - 3*a)*(1 - 2 + 2) in the form x*a**4 + s*a + b*a**2 + v + q*a**3 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*w**3 + 143 wrt w?\nAnswer: -408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004454 rounded to six dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdh when four letters picked without replacement from hhddhhhh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13115778792199.999999 - 13115765478895. Let v = c + -13313271. Let g = v + -34. Round g to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313003, 312854, 312453, 311674, 310391, 308478?\nAnswer: 305809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6)\/(7\/2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2580\/12)\/((62755\/154)\/(-163))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2076 + 16633\/8. Let n(o) = -o**3 + 11*o**2 - 12*o - 8. Let u be n(11). Calculate the common denominator of 14\/49 - 737\/u and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**5 + 0*a - 1\/3*a**6 + 0*a**3 + 35\/2*a**2 - 51 + 0*a**4. Find the second derivative of o(v) wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10438 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/431340 and 167\/184860.\nAnswer: 1294020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9555821 a multiple of 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 18.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -113\/4 (b) 4\/5 (c) 0.2 (d) 1\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*15\/(-3)*-11*(-3)\/(-99).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o - 1\/12*o**4 + 0*o**3 + 0 + o**2 + 1\/60*o**5. What is the units digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r**2 + 839*r - 68. What is o(-42)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/8437 and -51\/649.\nAnswer: 8437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5863 is divided by 165?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -61391870 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000455951995 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*w + 3*h, 95 = -2*w + 7*w + 5*h. Let d be (-4)\/w - 11\/(-9). Let s = 6 - d. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*f - 10, 4*f - 7*s + 45 = -2*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1426563 or -1426564?\nAnswer: -1426563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4 + 38478*p**3 - 1152459*p**2 + 10481952*p - 25950288 = 0.\nAnswer: 4, 13, 12796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 1. Let v(p) = 4*p**2 + 7*p + 6. Let y(i) = -5*m(i) + v(i). Determine y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 75?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 2, c: 2}. Give prob of picking 1 q and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.4. Let q be (-33)\/11 + 2\/((-30)\/(-47)). Let h = -2650\/13 + 204. Which is the third biggest value? (a) p (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2350*i + 2354*i + 24, 5*v = -5*i - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2459 + 2460. What is the nearest to -43 in 16\/3, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 4*w + 2*w - 6 + w + 2. Let m be p(6). Let t = m + 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8*y + 803 = 0. List the prime factors of y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195369138?\nAnswer: 2, 37, 101, 159937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30803 by -1.\nAnswer: 30803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 40*j**2 - 2*j - 2. Let y be o(-1). Let x = y + -38. Suppose -x*g - g + 0*g = 0. Which is the second biggest value? (a) g (b) -4\/3 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 26*s + 104, 0 = -0*r + 3*r - 5*r - 3*s + 4*s + 26 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, j: 2, b: 2, x: 5}. What is prob of picking 1 j and 3 v?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 96*d - 1543. Determine g(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -18. Suppose 3*r - 34 = 4*b, 0*b - b = 5*r - 49. What is the least common multiple of j and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 10*w**2 + 8*w - 26. Give x(10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-21) - 60\/(-14). Let j(u) = 11 - r*u - 4 + 3*u. Let s be j(9). Which is the second smallest value? (a) s (b) 2\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -565, -958, -1623, -2560, -3769?\n\"Answer: -136*q**2 + 15*q - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5134 by 17.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 2*x - 53. Suppose -9*g + 8 = -1. Let c(o) = o**3. Let j(a) = g*l(a) - c(a). Differentiate j(w) wrt w.\nAnswer: -12*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9263643 and 373869.\nAnswer: 83372787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 532 + 1251441?\nAnswer: 1252413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/7 (c) -6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:37 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6375.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l + 13*l**2 - 134151044 + 134151044.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hhmw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(0*t + 0*t - t**2) + 0*t**2 - 2*t**2 - 14*t**2)*(0 + 1 + 3).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 77*t = -80*t - 68, 0 = -l - 5*t - 121 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 42. Let r be (l\/(-1) - 4)\/(26\/2301). Let t = 154 - r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**3*w**5 + 18*l**3*w**2 + 3*l*w**2 + 216*w**5 + 3 wrt w?\nAnswer: 300*l**3*w**2 + 12960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-5) - 40\/(-100). Let r be q - 2 - (2 - -20). Is r at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18420*p**2 - 16193*p.\nAnswer: 36840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) 1\/5 (c) 2 (d) -11 (e) -53 (f) -0.4 (g) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(33)*1*2)\/((sqrt(220) - sqrt(220)*-1)\/sqrt(5)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**9)**50 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/4))**(-16\/3)\/(y*y**(-1\/5))**30)**34 assuming y is positive.\nAnswer: y**(-3400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3001*l + 30012. Calculate o(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 5*r**2 - 6*r - 2. Let m be k(-2). Is 2 - m - -4 - (-1199 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2421 and 9536050.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217, -2255, -2297, -2325, -2321, -2267, -2145, -1937?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 + 3*i**2 + 15*i + 9 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 0.2, -0.4 in decreasing order.\nAnswer: 3, 0.2, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z. Let y(w) = 886486*w**2. What is u(y(g))?\nAnswer: -14183776*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113116, 113110, 113104, 113098, 113092, 113086?\nAnswer: 113080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/(-57)*3\/24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.02 + -33. Let a = -3.98 - o. Sort a, -1, 4, 0.1.\nAnswer: a, -1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24002 and 1.\nAnswer: -24002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148980 and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116818, 233634, 350450?\nAnswer: 467266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 33 = 5*f, -6833*c - 5*f - 59 = -6854*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 56*y**2 - 188*y - 5003. Determine o(-54).\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhsmshshshsshss. What is prob of picking 4 s?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 46354?\nAnswer: 46440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c - 4. Let q be d(-3). Solve -q*o + 11 = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -j. Suppose 0 = 15*h - 19*h + j. Suppose 0*m + 2*m - 14 = -d, -28 = -2*d + h*m. Is d equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 11 - (-110)\/(-15))*12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.7397 (b) -3 (c) -19 (d) 8 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*u**3 - 7*u**3 - 170*u**3 + 2*u**4 - 106*u**3 - 2098*u**2 + 594*u**2 wrt u.\nAnswer: 48*u - 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 17*j**2 - 2922*j - 4478. Determine w(173).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 92*o - 11. Let b(c) = -c**2 - 25*c + 3. Let y(q) = 22*b(q) + 6*r(q). Let d(k) = k**2. Give y(d(h)).\nAnswer: 2*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w - 358 = 2*i + 66*w - 19*w, -2*i = w + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 - 42098084?\nAnswer: -42097806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000587546 rounded to five dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*2\/((-2)\/1). Suppose -8 = k*s - 28. Suppose 6 + 7 = c - x, s*c - 27 = -x. Which is smaller: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -7. Let x = 28 - 23. What is the second smallest value in 0, x, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/36*(40\/(-70))\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 2 - 4. Suppose 8*w = 2*t + 3*w + 16, 0 = 5*t + 4*w - 26. Suppose 2*v + 1 - 25 = 4*s, 2*s = -4*v + 18. Sort t, v, b in decreasing order.\nAnswer: v, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -1 (d) 0.2 (e) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490431 rounded to the nearest 10000?\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 13*r**4\/24 - 2*r**3\/3 - 20*r**2. Let p(k) = -1 + 5*k + k - 2*k. What is 7*p(j) - 2*z(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4 - 43796*s**3 + 87604*s**2 - 43804*s = 0?\nAnswer: -10951, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -9*r**2\/2 + 6*r - 183. Let j(a) = 6*a - 4. What is -5*d(l) - 7*j(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = r + 1180, -5*c + 872 = -2*c - 4*r. Suppose -3*x = p - 588 - 330, 3*p + c = x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 2*i - 0, -i - 4*k + 16 = 0. Let n be ((-3)\/(-1) + (-4 - -2))*2. Suppose -2*a + w + i = -3*w, n*a = -w - 1. Is 0.3 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(3 - 1)*(0\/(-1) - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 27843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548002138?\nAnswer: 2, 274001069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 o, and 1 z when four letters picked without replacement from {w: 5, o: 3, l: 4, z: 1, p: 5, c: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -0.382?\nAnswer: 0.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 2)*((-102)\/5 + 21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - 10?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 46 - 22*v**3 - 3*v**4 - 28*v**3 + 2*v**2 + 110*v**3 - 28*v**3 - 31*v**3 to the form s + i*v**2 + n*v**3 + w*v**4 + o*v and give s.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/8 + 3*a\/8 + 1\/4 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -279 + 283. Suppose 3*q = 2*q + 5*n + 2, 2*n - 59 = 5*q. Put d, q, 0.5 in increasing order.\nAnswer: q, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.21 + -2.71. What is the biggest value in 5\/8, -4\/3, r?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*m + b, -10*m - 22 = 4*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 5. Let z be j(0). Suppose -5*s = 4*i - 106, -3*s + 5*i + 115 = 2*s. Suppose -z*m + 2 = s. Sort m, 4, 1 in descending order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13977581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -14 (c) -0.1 (d) 0 (e) 0.09 (f) 15 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 247, 251, 255, 259, 263, 267?\n\"Answer: 4*u + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/26 + 532\/91. Let l = -4 - -2. Calculate the remainder when 140\/u + l\/6 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s - 5 = 0. Let q be 48\/8 + s + (-2 - -4). Let a(m) = 10*m**2 + 3*m - 4. Let o be a(q). What is the highest common factor of o and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.7823 rounded to one dp?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12\/(((g\/(g**6\/g*g))\/g)\/g) assuming g is positive.\nAnswer: g**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1819? (a) -26 (b) -2 (c) -2\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133080, 133634, 134188, 134742?\nAnswer: 135296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14125 and 7386358?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 2 - 2*v**3 - 6*v + 3*v**3 + v**2 + 9*v. Let l be b(-1). Find the common denominator of -49\/16 and (-35)\/(-40)*l - -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -166. Suppose -h*d - 14*d = -75. Solve -4*n = 19 - d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 701*z = -478*z + 27117 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 8*d**2 - 10*d - 9. Let r be (3 - 3) + (-84)\/3. Let j = -5 - r. What is the remainder when j is divided by g(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/7)*t)**(-1\/52))**(5\/14) assuming t is positive.\nAnswer: t**(-10\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(31\/(-186))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.0446546\nAnswer: -0.01339638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -273 + 272. Is r less than or equal to -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, 1, 1\/2.\nAnswer: 1\/2, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2, 2*i + 19 = 2*d + 25. Let h be (-2 + 1 - -5) + -1. Solve -i*m + h - 19 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:31 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(1 + sqrt(125)))**2 - (sqrt(275)\/sqrt(45))\/(-6*sqrt(33)\/sqrt(3)).\nAnswer: 6481*sqrt(5)\/18 + 4541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -19. Suppose -4*d - 116 = -b*d. What is the highest common divisor of 87 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028398626 plus 0.4?\nAnswer: 0.428398626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12300 and 4585850.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 12. Suppose -5*s = -5*i - 0*i + 70, p*i + s - 31 = 0. Calculate the highest common factor of 20 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 299 - 315 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 6. Let c(d) = -3*d**2 - 4. Let j(w) = 3*c(w) - 2*t(w). Let s(f) = -f. Let z(k) = k. Let l(h) = -s(h) - 4*z(h). Calculate l(j(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 10*v + 17. Calculate the remainder when 44 is divided by q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 6272*w**3 + 9784192*w**2 + 157753344*w + 632623104.\nAnswer: (w - 3144)**2*(w + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 16 = -3*x. What is the tens digit of x\/28 - 186\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -142. Calculate the least common multiple of 3 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13055*a**2 - 3*a + 2. Let m be n(-6). Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2810 - 2843. Suppose -19 = 2*q + 35. Let o = q - d. What is the remainder when 22 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 35243178 and 35243177 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-26)\/(-84))\/(-13)). Let y = 4 + -2. Let j be (6*5\/(-10))\/(-1). Solve 4*o - 18 = -4*i - x, j = y*o - 3*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-3 - (-262)\/86). Let d = 197 - w. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149*m - 1182 = -1146*m. Which is smaller: m or -392?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 956.9999989857 - 957. Round i to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**3 + 10*w**2 - 59*w + 26203 wrt w.\nAnswer: -3*w**2 + 20*w - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let i(u) = 2*u**3 + 8*u**2 - 2*u + 3. Let h(c) = 3*c**3 + 9*c**2 - c + 2. Let v(o) = -3*h(o) + 4*i(o). Determine v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 - (-2 + -3 + 1)) - (65 + -116)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 234, -0.84, 0.1, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - 7*p**3\/6 - 2*p**2 + 10*p + 1. Calculate y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -35*y**4\/6 + 233*y**3\/6 + 211*y**2. Is x(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 2. Let t(y) = 2*y - 1. What is -2*b(h) - 4*t(h)?\nAnswer: -4*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 1486677*b.\nAnswer: 3*b*(b + 495559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.102 - 0.061. Let l = 21.959 + m. Let x = 22.00065 - l. Round x to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1099 * -48.9\nAnswer: 53741.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15.6 in 0, -6, -2, -100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 39, 62, 95, 138, 191, 254?\n\"Answer: 5*x**2 - 2*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(35) - sqrt(315)*-2) + sqrt(315)*1)\/(6*sqrt(196)\/sqrt(7)) + 3)**2.\nAnswer: 20*sqrt(5)\/3 + 701\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.8 + -53. Let q = -1.3 - w. Which is smaller: q or 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3261 = -488*n + 613*n + 2864 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40430 - -10?\nAnswer: 40440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -785*k + 2. Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-4))\/((-2)\/24). Let z be (-75)\/(-10)*(-32)\/(-24). What is the greatest common divisor of v and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + (132 - 139) + 12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 304\/3. Let z = 15 - 15. Suppose -4*f - 4*t + 24 = -z*t, 12 = 4*t. Is f smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 150.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -4*v, -4*z - 23 = 5*v - 5. Let r be v\/(-6) - (1 + 0). Let u = 4.3387 - 4.9387. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-15)*((-36)\/48 - 0). Let s be (-10)\/45 - 58\/(-18). Sort k, -19, s.\nAnswer: -19, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*a = 37, 5*u - 5*a = 2*u - 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.157118 rounded to two dps?\nAnswer: 85.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y - 10. Suppose y = 4*u - 10. Solve -2 = -u*o - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 15) to base 9\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/55 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.91 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z + 7. Let u be n(-7). Let k be ((-3)\/(-4))\/(3\/12). Suppose k*m = -u*m + 48. Calculate the smallest common multiple of 2 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from {p: 7, s: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8810 + 8999. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 93. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2272814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087 > 4087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1.6\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*f**4 - f**5 - 37 - 334*f**2 + 1682*f**2 + 18 + 19 wrt f?\nAnswer: -60*f**2 - 648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7848*n**3 + 3*n**2 + 651*n + 29?\nAnswer: -47088*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - k = -41 + 4, 4*k = 3*r - 28. Let a be 4\/(r\/(-12)) - 1. Is 35 a factor of ((-32)\/(-24))\/(a\/(-210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -424, -3, 10, 2, 4 in decreasing order.\nAnswer: 51, 10, 4, 2, -3, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2142?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -879*s - 865. Let q be m(-8). What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-5)\/(-30)). Let q = -5 - k. Suppose b + 53 = 2*c, -4*c + 53 + 71 = q*b. What is the greatest common divisor of 140 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 84737 - 84578 + h**2)*(-22*h - 2*h - 3*h).\nAnswer: -27*h**3 - 54*h**2 - 4293*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-14)\/(-4))\/(3\/80). Suppose w = -19*t - 36. Which is the nearest to -0.1? (a) t (b) -1\/6 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294)*-2*-6 - (-1*sqrt(294)*2 - sqrt(294)))*-1)\/((sqrt(112)\/sqrt(32))\/(sqrt(168)\/sqrt(6))).\nAnswer: -420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/7 + 12*g**4\/7 + 24*g**3\/7 + 20*g**2\/7 + 6*g\/7 = 0. Calculate g.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1057287\/65 or -16265?\nAnswer: -16265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-63)*(20\/(-180))\/((-10)\/315).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 603*x**2 - 299*x**2 + 9*x**3 - 5*x - 306*x**2 as r*x**2 + y + i*x**3 + w*x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 43 = -g - 9, g + 7 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17003386105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*(5\/3 + 1). Let d be -1 + ((-4)\/(-2) - 85). Let y be (-216)\/d*56\/3. Calculate the greatest common divisor of y and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/15 - 1481648*z\/15 - 493882\/5 = 0. What is z?\nAnswer: -740823, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 + 6*l**2 - 26*l + 1. What is f(-5)?\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 300375 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - -1*sqrt(209)*1) + sqrt(209))\/(1*sqrt(1331)))**2 + -3.\nAnswer: -192\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46680, 46676, 46670, 46662?\n\"Answer: -k**2 - k + 46682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6137 = -11*j + 7292. Calculate the greatest common divisor of j and 10815.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3565\/6 + -1187\/2. Let b(t) be the third derivative of -2\/5*t**5 + 8*t**2 + 1\/12*t**6 + 0 - j*t**3 + 3\/4*t**4 + 0*t. Factor b(s).\nAnswer: 2*(s - 1)**2*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257 or -185962?\nAnswer: -185962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4) - 1)\/(381\/(-11430)). Suppose -3*a + n = -13 - 2, 5*n + f = 0. Factor -2\/7*t**3 + 2\/7*t - 2\/7*t**a + 0 + 2\/7*t**2.\nAnswer: -2*t*(t - 1)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3502.468 + 3537. Round j to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {s: 2, j: 2, d: 2, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 1217411 = -459073. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/16*q**6 - q - 1\/4*q**4 + 0*q**3 + 17\/80*q**5 - 14*q**2 + 0 + 1\/280*q**7. Solve v(c) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218 - 314 - 8*f**2 + 433 + 2*f wrt f?\nAnswer: -16*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1756 = 740. Is 52 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/12 + 11*z**3\/6 + 62*z**2. Suppose -p + 7 + 1 = 0. What is g(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 10*p + 13*p - 17566, -87798 = -5*y + p. Round y to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-6 + 10)) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4405351 is divided by 424.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80737020 + 8?\nAnswer: 80737028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-1 + 2)*-2. Let n(t) = t**2 + 7*t + 4. Let z be n(o). Let r = z - 4. Solve r = 5*q + 3*m - 25, q - m + 0*m - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 1\/15*h**3 + 0*h**4 + 1\/150*h**6 - 93*h - 1\/10*h**2 - 1\/50*h**5 - 2. Factor t(v).\nAnswer: (v - 1)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 21 = 3*s, 443*s - 447*s - 4*i = -56 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 2 + -1 + sqrt(7) - (sqrt(847) - (5*(sqrt(847)*-5 - sqrt(847)) + sqrt(847))))**2.\nAnswer: -19740*sqrt(7) + 4546272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/16 - 177\/16. Calculate the common denominator of u and -69\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -6. Let p = x - -8. Let s(k) = -7 - k**3 + k + p*k**3 + 3 - 5*k**2 + 3. Determine s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -137\/4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53\/12 (b) 300741 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1724*p - 243907 = 1808*p + 218785 for p.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -11*u - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*d - 4, n + 12 = -2*n. Suppose -2*g - 14 = -b, 0 = -d*b + 4*b + g - 11. Let u = 117 + -81. Calculate the highest common factor of b and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001194 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75041 is divided by 8322.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 39. Suppose -4*o + 82 = 10. Calculate the greatest common divisor of o and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 7*p + 62. Let a = -41 - p. Suppose -5*m + 69 = 5*f - a, -52 = -3*m - 2*f. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f + 4*a - 55, 2*f - 25 = -a. Let v be 8\/f - (-2)\/(-10). Factor -2\/3*q + 1\/3*q**2 + v.\nAnswer: (q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p**4 + 3*p + 41 - 41)*(0 - 1 + 3) in the form j*p**3 + v*p + c*p**4 + h + s*p**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9896\/28)\/2 - 2\/(-7).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 11*p**5\/60 + p**4\/12 - 84*p**2. Let q(s) = s - 4 + 4. Determine k(q(o)).\nAnswer: 11*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Suppose -2*w - 4*w + 48 = c. What is the second derivative of 31*y**3 + w*y - 6666 + 6666 wrt y?\nAnswer: 186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -10. Suppose -v - 14 = -4*a. Solve 2*h + a = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*28*6\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 103050*i + 18. Let m(o) = -73608*o - 13. Give -13*j(u) - 18*m(u).\nAnswer: -14706*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1798215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378.1 + -378. Let t = 5 - 2. Let h = t - 2. Which is the nearest to j? (a) h (b) 0 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2943, 2957, 2985, 3033, 3107?\n\"Answer: x**3 + x**2 + 4*x + 2937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*a - 60*a**3 - 107*a)*(1 - 1 + 2*a**2).\nAnswer: -120*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 41 - (-6 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 174 - 153?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 14*s + 7 - 125*s in the form h*s + c and give h.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egegvqegqeqge. Give prob of sequence vegg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333799*j**5 - 159090*j**2?\nAnswer: 20027940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 17. Calculate the least common multiple of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 11, 72, 2, 0.1 in decreasing order.\nAnswer: 72, 11, 2, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65389230761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 0.2 (c) -1\/2 (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 29697 + 15933. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -5*x, 0 = -4*x + 2*h + 2*h - 8. Solve 2*b = -4*t - 8 - 2, x = -4*b - 5*t - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93625?\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 374767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let t = -33 - -47. Let y(w) = 0*w + 0*w + 12*w**2 - t*w**2. Give s(y(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 27\/15)\/((-28)\/10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 7*q**2 - 8*q - 5. Let p be h(-6). Let n = p + -19. What is the common denominator of 6\/9*(-258)\/n and 37\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 813498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 18000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.089079 - -2.087. What is r rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4*(-10)\/(-3))\/1. Solve d*t = 2*m + 4, 0 = 4*m - 0*t - t - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003008167 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(14\/5)\/g)**(19\/3)\/(g\/(g**17\/g)*(g**10\/g)\/g) assuming g is positive.\nAnswer: g**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276 + -156. Let m(h) = -2*h**2 + 7*h + 5. Let t be m(8). Let d = t + w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2135 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -5. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1651.3 - 1650.3. Put 0.2, -2\/13, g, 3, -2\/61 in ascending order.\nAnswer: -2\/13, -2\/61, 0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 18. Give l(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 26*u + 22 = 29*u + 215, s - 10*u - 1 = 0 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -97. What is the smallest common multiple of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f1 + -338?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27495 and 2145.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 946\/13 in -24, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/3 and -64\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 118072866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -c - 7 - 3, -i = 3*c - 20. Solve 0 = i*f + 4*u - 2, 2*u = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3196?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + 720 - 1418 + 12*v + 689.\nAnswer: v - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + j**2 + j**2 + 0*j - 2*j**2 + 0*j - 18*j**2 + 15*j**2 + 37*j**2 + (0*j + 3*j - 2*j)*(-2*j + 0*j + 0*j) - 2*j**2 + 0 + 0.\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31509 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 1 (c) 3 (d) -1\/15 (e) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*b + 12 = -28, 28 = 5*d + b. Let y be (-1 - -5)*(-3)\/d. Let v = 1.5 - 2.5. What is the closest to 1 in y, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibzbzfvztbbzitv. Give prob of sequence zvfz.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 215418*g**2 + 50*g - 1852. Let x be s(33). What is x rounded to the nearest one million?\nAnswer: 235000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247869765 minus 122890?\nAnswer: -247992655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 59\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-39)\/(-26))\/(3 - (-102)\/(-32)) - -1462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 8, 12, 20, 32?\n\"Answer: 2*m**2 - 6*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -20. Let k = p - 23.6. Let n = k + -2.2. What is the nearest to n in -3, -13, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1563 - -1571. Let h(b) = 15*b + 4. Let d(n) = 13*n + 5. Let t(w) = -7*d(w) + 6*h(w). Calculate t(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.46 - -13.03616\nAnswer: 11.57616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 9, a: 1}. Give prob of sequence vauv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 189364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -478 (base 11) to base 2\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32962033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 3, 5\/17, -3\/2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 70*x**2 - 544*x - 38065. Give i(-70).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 7*z**2 - 7*z - 3. Let b be u(-8). Let p = b - -25. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-781)\/710 + 2\/((-8)\/(-2)). Let y be (-15)\/(-12)*3 - 3. What is the fourth smallest value in 1\/5, 14, y, m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a - 730 = -1585 - 675 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 2*s, 3*s = c - 3*c + 16. Factor 15 - 4 + s*o**2 - 8*o - 3.\nAnswer: 2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*o - 7*f, 151*f - 153*f - 4 = 6*o + 48 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z**3 + 3*z**2 + 2*z + 1. What is q(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 223, 224, 225, 226, 227?\n\"Answer: u + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 367936\/29 or 45?\nAnswer: 367936\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 951 and 11968335?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000011111000101001 (base 2) to base 14.\nAnswer: 2d5001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-51)*(-252)\/84?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2477, -1\/114, -2\/5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -3*s - 566, 3883*s - 3880*s + 2*x = 134 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k - 10*k - 4*k**2)*(1 - 1 - 2*k**2) - 3*k**3 + k**4 + 3*k**3.\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155 - 1421 = 69*y + 2951 - 1421 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -641?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 - 4*k)*(72 + 75 - 116) + k + 4*k + 1 + 0*k to d*k + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -350 in 1\/4, -20, -2\/3, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-4)*-18*(-53)\/(-3339)*612\/17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*u + 115*u + 79 = -v, -u = 7*v + 526. Which is the nearest to v? (a) 1\/2 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10 + 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 29946*y**2 + 16230736*y + 2168 = 0.\nAnswer: -542, -2\/14973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6545\/140 - 48)*24.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 975 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -70?\nAnswer: -69.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:44 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r, -4*j = -r - 8 - 27. Suppose -5*i + 4*i - 4*g - j = 0, -g + 8 = 2*i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 598135615\nAnswer: 598135615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.83336 rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 34*y + 3*w - 29 = 0, -76 = 10*y + 3*w for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (29 - 3 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.85019 millilitres to litres.\nAnswer: 0.04485019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 682 - -1b?\nAnswer: 69d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -16 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.044 + 14.956. Let w = 30 - g. Let z = w + -15.0135. Round z to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1152\/1105529 + 7275341664093\/133769009. Let b = -54387 + q. Let d = -7267\/2420 - b. Find the common denominator of -111\/22 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -76, -261, -632, -1255?\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuhhgelleegeeee. What is prob of picking 2 g and 2 h?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/12995412 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -420965*h*p**3*w**2 + 21*h*p**2*w**2 + 154*w**2 - 1 wrt p?\nAnswer: -2525790*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2 + 0\/6. Suppose -5*g + f*n - 5*n = -100, n = 5. Suppose 0 = d + g - 54. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1536?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -99053? (a) 0 (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**3 - q**2 - q. Let d(l) = -147*l**3 + 7*l**2 + 162*l - 1. Let z(j) = d(j) + 7*h(j). What is the second derivative of z(u) wrt u?\nAnswer: -1092*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 824316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**4 - 8*x**3 - 388*x**2 - 280*x + 2112 = 0.\nAnswer: -8, -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.5 and 3431886?\nAnswer: 3431891.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 1 - ((-155879)\/11 - 270\/1485).\nAnswer: 2, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t - 328 = -23. Let d(v) = 7*v - 4 + 4 + 7*v**2 + 4. Let a(l) be the second derivative of -l**4\/4 - l**3\/2 - l**2 - l. Calculate t*a(y) + 2*d(y).\nAnswer: -y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141\/3 at most as big as -0.3122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = s. Let w(n) be the first derivative of n**3\/3 - 4*n**2 + 4*n + 2. Let i be w(7). Sort i, 1, s in increasing order.\nAnswer: i, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 + 18*r**4 - 122*r**3 - 554*r**2 + 3120*r - 2464 = 0.\nAnswer: -11, -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -101\/6 (b) 10\/7 (c) -3 (d) -1\/3 (e) -0.1 (f) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(678\/136 + -5). Calculate the greatest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/108)\/(2\/(-6)). Let a = 22 + -18. Suppose -39 = -3*x - 5*w - 15, 0 = -5*x - a*w + 27. What is the biggest value in x, p, -0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/7)*f)\/f*f\/(f\/f**1*f))\/((f\/(f*(f**1*f)\/f)*f)\/(f\/(f\/(f*f**(4\/7)))*f)) assuming f is positive.\nAnswer: f**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 65 + 2*z**2 - 34.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5129*t = -5098*t - 1705 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43259 is divided by 2403.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -40895709*y. Let v(g) = -2*g**2. What is a(v(f))?\nAnswer: 81791418*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (98\/2)\/(2 - (-3)\/(-3)). Suppose 0 = 3*m - 3*f - 13 - 11, 5*m - j = -4*f. What is the lowest common multiple of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 13*s**2 - s - 16. Let w be (-8)\/(-20) - 67\/5. Let t be i(w). Which is the second smallest value? (a) t (b) 4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(170)\/(sqrt(50)\/(-2*sqrt(5)) - sqrt(10)))**2.\nAnswer: 95\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 + 2*f - 1 - f. Let j = 6 + -4. Let x = 0 + j. Let s(p) = -3*p - 2. What is x*i(m) + s(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24029900 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3371991 divided by 5327\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcb when three letters picked without replacement from bbcbbbbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 72, 147, 250, 381?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 79, 72, 61, 46, 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i**2 - i**3 + 4*i + 6*i + 2*i - 4*i**2 + 2. Let y be z(-6). Solve 2*n + 3*d = y*d - 2, -3*d - 12 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 15*z**2 + z + 1. Give r(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53332207, 53332231, 53332255?\nAnswer: 53332279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1306931 - 1298730.052. Let u = -8220 + b. Let d = 19 + u. What is d rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184299 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i + 3. Let x be g(4). Let m = 4 + 4. Let s be m\/(-44) - 6868\/(-22). Calculate the greatest common factor of s and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30602786 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 254*c - 780.\nAnswer: 2*(c - 3)*(c + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-18))\/(((-32)\/6)\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74400475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -6, -8, 5.\nAnswer: -8, -6, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38, -17, -329, -2?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89558803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26515, -106127, -238813, -424573?\nAnswer: -663407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50.2 - 50.19966618. What is n rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 1)\/(4\/(-8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120327*z + 5*f + 129 = 120324*z, 3*f = -4*z - 161 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 6*b + 6. Let n be u(-4). Let x(g) = 7 - g - 5 + 0*g. Let t be x(3). Sort n, -5, t in increasing order.\nAnswer: -5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1821909 + -6?\nAnswer: -1821914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b - 40. Let w be d(8). Let j = -72 + w. Solve -6 = 3*c, 4*c + j = -y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from {z: 2, p: 1, b: 2, e: 1, i: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 41458739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53402.59ml to litres.\nAnswer: 53.40259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.340734 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 154872774?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -14\/75, -2.3, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6713252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011100001000101010 - -100?\nAnswer: 1110011100001000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 95*v**2 - 418. Let b(m) = 821*m. What is b(k(y))?\nAnswer: 77995*y**2 - 343178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -141\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-6))\/(32\/(-48)). Which is greater: -6 or o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 39628034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.59859 + 0.29859. Which is the second smallest value? (a) -1\/3 (b) 6 (c) -2 (d) t (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 14 - 10 + 7.\nAnswer: 2*x**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 + 32\/105*f**6 + f + 8\/147*f**7 + 19\/21*f**4 + 2\/3*f**3 + 5\/7*f**5 + 2\/7*f**2. Factor o(i).\nAnswer: 4*(i + 1)**3*(2*i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67142159.\nAnswer: 7, 769, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 1130385.79889 and -0.04.\nAnswer: 1130385.75889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 34 - 11*u - 34. Is r(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -136*o - 774. What is r(-5)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15649419 is divided by 2978.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h - 36\/5 + 1\/5*h**3 + 2\/5*h**2.\nAnswer: (h - 4)*(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 minus 43275?\nAnswer: -43272.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4592.817 months?\nAnswer: 382.73475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.2 + -48.2. What is the closest to -0.2 in d, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 392971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 135 + 119 = 0. Suppose i*d = 3297 - 1017. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -b - 1, -2*b - 3*q + 3 = -3*b. Suppose 3*f + h = 4*h + 3, -f - 5*h + 13 = b. Calculate the remainder when f*1 + 2 + 44 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 4*m - 3. Let s be d(2). Let x(l) = -l**3 - 13*l**2 - 22*l - 8. Let v be x(-11). Does 11 divide -3 - (-27)\/(2\/v*s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 7364 - 2468. Calculate the highest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 + 0)*(0*i**2 + i**2 + i**2) - 4*i + 4*i - 21*i**2)*(-i**2 + 0*i - 4*i + i) in the form a*i + w*i**3 + g*i**2 + d*i**4 + z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 + 440 = 2*g. Suppose 0 = -3*i - 2*s + 128, -2*i = -2*s - 105 + 13. Calculate the highest common divisor of g and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**2 - x + 7*x**2 + 1 + x**3 - 22*x**2 in the form g*x**3 + n*x + s*x**2 + v and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8*l - 3*l = 20, 4*y = 5*l - 20. Let j(o) = o**3 + 4*o**2 + 3*o + 3. Let q be j(-3). Solve -s = -y*s - q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 168 = -39*w, -2*w + 21 = 82*b - 85*b - 23 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 12 = 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10250 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -3*y - 120. What is the second derivative of -34*g - 20 - y*g**2 - 3*g**2 + 20 wrt g?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233\/2 - -118. Let i(s) be the second derivative of f*s**2 - 1\/2*s**3 + 0 - s. Differentiate i(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/96050 and -31\/5.\nAnswer: 96050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 12*s - 6 = 9*s, -s - 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 19*z - 1406 = 19*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*t + 20. Let p(y) = y**3 - 2*y**2 - 3*y + 1. Calculate the lowest common multiple of ((-32)\/5)\/((-6)\/t) - 6 and p(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 42*n + 18. Let c(g) = g. Determine h(c(v)).\nAnswer: 42*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 3*q)*(9*q - 4*q + 9*q)*(0 + 0 + q + (-2*q + 0*q + 0*q)*(4 - 3 + 1)).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144485.\nAnswer: 5, 11, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/10 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1651, 1611, 1527, 1387, 1179?\n\"Answer: -2*x**3 - 10*x**2 + 4*x + 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-1)\/t))\/t)**31)**(-40)\/((t*t**(-3\/5))\/t**(-2\/3))**(-1\/22) assuming t is positive.\nAnswer: t**(-409192\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1992*g + 1945*g + 501*g.\nAnswer: 4438*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 940, 459, -20, -497?\n\"Answer: k**2 - 484*k + 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18*s. Let p(j) be the second derivative of j**3 - 2*j + 66. Calculate p(f(l)).\nAnswer: -108*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -35. Suppose i*z - 5*z = 0. Let w be 20\/5 - 4 - z. Solve w = -2*j - 0*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602 = 19*a + 203. Calculate the remainder when 1908 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(126\/135))\/(96\/(-56)). Which is smaller: 267 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 940*b - 959*b + 122 + 334 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**5 + 5*u**4\/4 - 5*u**3 - 25*u**2\/2 - 10*u - 15. Factor l(r).\nAnswer: 5*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)**(14\/9)\/(h\/(h*h\/(h*h\/h**(-1\/2))))**34)**(-1\/29) assuming h is positive.\nAnswer: h**(445\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 - 6*w**2 + 2*w + 5. Let b(u) = -21*u**3 - 31*u**2 + 10*u + 25. Calculate -11*a(o) + 2*b(o).\nAnswer: 2*o**3 + 4*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**3 - 4*t**3 + 7*t**3 + (707*t - 707*t - t**2)*(-3 + 2 + 0)*(-3*t + t + 3*t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 6*o**2 + 1. Give n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/30, 660, -4, 8?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4278, -7263, -8964, -9387, -8538?\n\"Answer: -o**3 + 648*o**2 - 4922*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -20*b**3 + 3522*b**2 - 352*b + 48. Calculate p(176).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 98*s**3 - 97*s**3 - 4*s - 4*s - 2*s**2 - 4 to c*s + i + u*s**3 + x*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 0*w**3 + 6*w**3 - 235*w + 235*w - 104*w**3 + (-4*w**3 + 2*w**3 + w**3)*(1 + 1 - 4) in the form j*w**3 + i*w**2 + g*w + l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -40. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 + 0*v**5 - 3*v**5 + (3*v + 17 - 17)*(2*v**4 - 3*v**2 + 2*v**2 + 0*v**2).\nAnswer: 5*v**5 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/70*((-3)\/(-2) - -1). Solve p*x - 9 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15 - 15 + 4*n. Let q(z) = 9*z**2 - 5*z - 5. Let m(o) = -5*o**2 + 3*o + 3. Let d(r) = 5*m(r) + 3*q(r). Give d(w(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - t - 2*t + 16 = 0, t + 12 = 3*d. Suppose -8 = -d*g - 0. What is the common denominator of (94\/48 - g)\/((-1)\/98) and 65\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -534*p - 7. Let n be d(-9). Suppose -493 = -3*i + n. Suppose 2*c + i = 16*c. What is the highest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 2*v - 3. Let l be a(4). Suppose -4*q + 0*b + 3*b = -99, -130 = -5*q + l*b. Does 5 divide 12\/(q\/12 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69683858 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 59. Let i(z) = -z**2 - 1. Let y(t) = t**2 - t - 4. Determine b*y(m) + i(m).\nAnswer: -2*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 31\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.977 rounded to one decimal place?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5 + 9*u**2 - 7*u**2 - 2*u + 6*u + u. Let b(w) = w - 1. Calculate -5*b(p) + o(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 7*c + 8*c - 8*c to the form m + j*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531 and 708?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 1, 6 in ascending order.\nAnswer: -7, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14850868.\nAnswer: 2, 3712717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 12. Determine h(17).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5181 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -0*k + g + 4, 29 = k + 12*g for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -213, -425, -637, -849, -1061, -1273?\n\"Answer: -212*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*p**2 - 12970*p - 320.\nAnswer: -5*(p + 32)*(81*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 270328*d - 270306*d + 638 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 3052 - 2516 = 0 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose v - 123 = -m - 2*v, -x*m = v - 401. Let b be m + 1*(-1 - 2). Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 770 = -18*k + 2*u, -5*u - 1300 = -5*k. Calculate the highest common factor of k and 2451.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15457336 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 922.605 millilitres?\nAnswer: 0.922605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 4, z: 3, w: 2, q: 1}. What is prob of picking 1 b and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-504)\/(-22) - 11\/(-121). What is the nearest to -0.3 in u, -4\/5, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/2 + 182181*x**2 + 728718*x + 728716 = 0.\nAnswer: -364358, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117)*-2 + sqrt(117)) - -1*sqrt(117)*-6)\/(sqrt(54)\/(sqrt(42)\/(-4*sqrt(7)) - sqrt(6))).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 8*s = -15*s + 128190. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68765256 divided by 34314.\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 minus -0.12891?\nAnswer: -84.87109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 15 = -423. Let y = o + 54. Let q = -20\/9 + 158\/63. Sort 0, y, q in descending order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*1*((-6)\/15)\/(42\/(-35)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*b - 4*b = -22, -3*w + 4*b - 14 = 0. Suppose w*g = -g + 90. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:14 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 - -2.7. Let k be 6\/(-21) + 92\/28. Which is the closest to 0.1? (a) g (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2310*s - 2291*s + 4599*s.\nAnswer: -2*s + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 m when four letters picked without replacement from mfadlfymafym.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6578 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, -47, -1, 3, 9 in increasing order.\nAnswer: -281, -47, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62098.7844 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*i - 8*c*i**3*v + 4*c*i*v**3 - 5*i**3*v**2 + 8*i**2*v**3 wrt c.\nAnswer: 4*c*i - 8*i**3*v + 4*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62192 is divided by 64.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*d + 7 + 1, -2*w = -d + 3. Suppose -k - 4*i = -d*i - 103, -5*k - 2*i + 550 = 0. Which is smaller: k or 109?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhttthhhmtm. What is prob of sequence hm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/6)*c*c*(c\/(c**(-6)\/c))\/c)\/(c**0\/c)**(-2\/17))**(-27) assuming c is positive.\nAnswer: c**(-9837\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. Suppose r = a*r - 8. Is (r + 117\/(-12))*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 91310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 2*h + 1147, f - 2*h = -389. Let r = 1014 + f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(33)\/sqrt(3)*4) + -1 - 2*((4*sqrt(143))\/sqrt(11) + 0).\nAnswer: -31*sqrt(13)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24*t**2 - 1677*t + 231. Determine o(-70).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + 6.8. Let n = -13 + b. Let f = 161 - 161. Put 1\/7, n, f in decreasing order.\nAnswer: 1\/7, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 10*h = -56. Let z = -12 + 14. Suppose -3*s - 5*d = -55, d - 62 = -z*s + 4*d. Calculate the remainder when s is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose 5 = 2*j - s. Differentiate -2 + j*w + 0*w - 5*w with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 4*r**3 - 2*r**3 - 5*r**2 + 3 - 3*r. Let w be x(2). Suppose -8*p + 3*p = -w. Solve -n = p - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(16\/6)\/((-15)\/(-9)). What is the tens digit of m\/((-48)\/553) + 2\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*b + 17 = 0, 9*l - 4*l + 3*b = 0. Let n(g) = g**2 + 6 - 5 - 6*g + l. Give n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 times 8?\nAnswer: -0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11427 + 5716 - 8*v**2 + 5711.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - (-206)\/6. Let o be (-9 - (-4608)\/105) + (-21)\/(-6)*2\/5. Is s > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -14 (c) -8 (d) 1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*d*m**2*p**3 + 4*d*m**2*p**2 - 11*d*m - 13*d*p**2 - 20*m*p**3 wrt p.\nAnswer: -336*d*m**2 - 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9644, 2, 4 in increasing order.\nAnswer: -9644, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7069 - 169681\/24. What is the common denominator of 71\/15 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d = 9369. Let v = -1217 - d. Let m = 6699 + v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 225851, 451820, 677779, 903722, 1129643, 1355536, 1581395, 1807214?\n\"Answer: -i**3 + i**2 + 225973*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0077 - -0.007699924. What is l rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/120 + 2*c**4\/3 - c**3\/6 + 91*c**2\/2 - 74*c. Let u(a) be the second derivative of b(a). What is u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3044 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9625\/1032 or 9?\nAnswer: 9625\/1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 17*y**2 - 43*y + 1130. What is d(12)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 5*x - 2*p, -3*x - 5*p + 4*p - 86 = 0. Let c be (-3 - 56)\/(2\/(-2)). Let k = c + x. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*t**2 - 123*t**2 - 240*t**2 + 40*t**2 as o*t**2 + d + v*t and give o.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 70. Suppose w - 17*r + 21*r - 137 = 0, t*w = -4*r + 488. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(33) + sqrt(1617)*-3)*-3)\/((sqrt(432)*-3 - sqrt(432))*6 - sqrt(432))*3.\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12447, 24894, 37341, 49788, 62235?\nAnswer: 74682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(3*sqrt(152))\/sqrt(8)*5.\nAnswer: -90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/30 and 133\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2046.68499 hours to weeks.\nAnswer: 12.18264875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7785564 by -4.\nAnswer: -1946391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 - 2. Let b = 5.8 + f. Sort 0.1, -4, -1, b.\nAnswer: -4, -1, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 11:24 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(931) - -2*sqrt(931)) + sqrt(931) - sqrt(931)) + 5 + 1)**2 + (sqrt(931) + -1*sqrt(931)*-3 + 5)**2)*-5.\nAnswer: -116680 - 2660*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -478 - -477.751. Let v = -6.908 - -6.808. Is c less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331330 (base 4) to base 5.\nAnswer: -224220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -318 in 1\/3, -5, -3, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-2)\/9). Suppose -3*r = -0*r + 2*k, 0 = -k + h. Let f = 0 - r. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3505.11\nAnswer: -3505.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -99*w + 95*w, -5*h = -5*w - 125. Solve 3*n + 2*m = 0, -4*n + 4*m - h = -0*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1963 + -0.3037. Which is the third biggest value? (a) 1 (b) -52 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15) - 102\/140)\/((-224)\/(-3528))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 189. Let d(r) = 3*r + 3*r - 6*r + l*r**2. Let x(t) = -6*t**2. What is x(d(k))?\nAnswer: -726*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -11. Suppose -o + 2*q + 9 = q, -5*q - b = -o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z**2 + 0*z)*(23*z**3 - 22*z**3 + 57*z**3).\nAnswer: 58*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35\/(-9 - -4) + 177 is divided by 93?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21b (base 12) to base 15\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 34 = -5*q, -3*q + r - 1 = -19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 - 9*j**2\/2 - 9*j + 81\/2 = 0.\nAnswer: -3, 3, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38386 + -344122\/9. Factor -g - 104\/9*j - 2\/9*j**2.\nAnswer: -2*(j + 26)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28649464*s**3 - s**2 - 27*s + 7745 wrt s.\nAnswer: 171896784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/8, -0.0974?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5.5. Let v = 1.35 - 0.28. Let x = v - 3.07. Sort 1\/8, x, 2, s.\nAnswer: x, 1\/8, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 117\/(-21) + 3\/((-84)\/(-128)). Sort 5\/4, p, 0.03 in descending order.\nAnswer: p, 5\/4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/12 + (-13)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/26 + 12\/13. Let s = -5583\/2 + 2790. Let i = -330 - -5612\/17. Which is the closest to -1\/2? (a) s (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(12\/(-6))\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3 (c) 22 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-63)*7\/(-56)*6\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.5 - -50. Let t = i - 10. Let r = 5.5 - t. Which is the third biggest value? (a) r (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596844836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 57, -1.6, -2\/9, 4, -0.13, -2\/15?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 - -140. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-1\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1793664947 and 307.325.\nAnswer: -1793664639.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1645667 + 1645667 + 5*x + 16*x**2. Let m(i) = 104*i**2 + 32*i. Give 32*f(t) - 5*m(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2 + 20*u + 61. Calculate d(8).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*l + 3*l - 38, 4*l - 60 = -n. Suppose -5*y = -3*i + l, 2*y = i - 2*i + 1. Sort y, 3, -4 in decreasing order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f + 450*f + 11985 = -293*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, v: 4, b: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is the fourth biggest value in 89, 0.2, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -17097*(9 + (-28)\/3)?\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176*g = -1209*g - 363 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 2*r + 2*r - 12 = 0. Solve -5 = 3*i + z, 3*i + k*z - 5*z = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 0*n**3 - 1710 - 375*n - 160*n**2 - 720*n + 3*n**3 + 2*n**3 = 0.\nAnswer: -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 25 = l, -325*l + 15 = -330*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17591836 to 4 dps.\nAnswer: 0.1759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 v, and 1 t when four letters picked without replacement from gvvxxvvotxxtvtoxxxx.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -432845, -865929, -1299013, -1732097, -2165181, -2598265?\n\"Answer: -433084*m + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*b + 2)*(-2*b + 3*b + 2*b)*(2 + 1 + 0).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 737, 1659, 2949?\nAnswer: 4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3920\/(-42))\/(-14)*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1558 + 2313. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 68*f + 93)*(-2*f**2 + 0*f + 0*f) to k*f**2 + q*f + b*f**3 + v and give b.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4163923 + -4163857.99927. Let s = u - 65. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7855.5um to millimeters.\nAnswer: 7.8555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -926 - -928. Let b(w) be the first derivative of 1\/2*w**3 - 18 - 3\/10*w**5 + 1\/6*w**6 - 1\/8*w**4 - 1\/4*w**j + 0*w. Let b(d) = 0. What is d?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.1. Let q = 0.54 - 3.54. What is the biggest value in b, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -46*l + 112 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-40)*-5*(29 - -39).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 917223450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from rrrrrrjjrrjrrrrrjr?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let t(f) = 9133010*f**2. Give t(h(l)).\nAnswer: 9133010*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.4. Let v be (-16)\/(-12)*2\/(-12)*3. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21778 + -21829. Let x = 33 - 85. Are h and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-98) + 7044\/345156?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + 1 - sqrt(11)*4*2)**2 - (4*(sqrt(55)\/sqrt(5) + 0)**2 + -4).\nAnswer: -56*sqrt(11) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let t(a) = -912*a - 908*a + 1791*a - a**2. What is g(t(q))?\nAnswer: q**2 + 29*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Which is the second biggest value? (a) h (b) 2\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 18. What is the least common multiple of r(12) and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -63063*k + 189163. Determine o(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.046, -0.1, -5, -2\/23, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 50 = 4*f. What is the remainder when 69*(11\/(-3) - -4) - 5 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-198)\/30 - (-28)\/45.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -555369914 and -0.3.\nAnswer: -555369914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 p when four letters picked without replacement from {d: 2, f: 1, p: 4, m: 2, i: 4, c: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17*19.6\nAnswer: -333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 7:08 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*m + 74*m + 620453. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1 + -4 + 4 + (1 + sqrt(272) - sqrt(272) - sqrt(272)) + 2)**2 + 1 + 3 + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 74692.\nAnswer: 74691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 6*n + 2. Let x be j(-6). Suppose x*f - 22 = 24. What are the prime factors of -2 - (1 + 2 - f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 9. Let w be a(-4). Suppose -w*b = -12*b - 100. Does 7 divide (35\/b)\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -12*k + k**2 + 12*k. Let t(v) be the first derivative of v**4\/12 - 2*v**2 + 2. Let n(i) be the second derivative of t(i). Give n(r(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) 1\/10 (c) -36 (d) 3\/8 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 - 517*k**2 - 206*k = 0. Calculate k.\nAnswer: -103, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1608*k - 34. Let r be q(5). Suppose -3*a = 5*p - 4815, 6*a - a + 2*p = r. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 856*o + 416*o - 38 + 79 - 24 - 22.\nAnswer: 1272*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -165474\/7 and -23639 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52386111 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 40393.\nAnswer: -10\/40393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*b + 3, -2*a - 2*b + 338 = 0. What is the greatest common divisor of a and 925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 17*m**2 + 10*m - 15. Let z be i(8). What is the units digit of (-1 + -12)*-13 - (z - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -113.7 and 5.191.\nAnswer: -108.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 3:41 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-161)\/(-49) + -2 + 24\/14. Let l(u) be the second derivative of -n*u + 1\/20*u**5 + 5\/6*u**3 + 1\/2*u**4 + 0 - 5\/2*u**2. What is l(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 286*y**3 - 14*y**2 - 12*y + 8. Let t be f(-6). What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 11221310203?\nAnswer: 11221310213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(1\/5))\/o)\/o)\/o**(-1\/7)*o\/(o\/o**(4\/7)*o)*o\/(o\/(o*o\/(o**1\/o))) assuming o is positive.\nAnswer: o**(67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89437 - -244?\nAnswer: 89680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-12))\/(3\/8). Suppose 4 = -f + 9. Put -5, f, q in decreasing order.\nAnswer: f, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -95*k - 38. Let p be d(-1). Let t = 0 + 4. Find the second derivative of -3*w + p*w**t + 3*w**5 - 57*w**4 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 5. Let k be n(0). Let t = -0.03 + 0.03. Let x = 0.1 - t. Which is the third biggest value? (a) x (b) k (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054305 rounded to 6 dps?\nAnswer: -0.000543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1250 + 102*n**2 - 1250)*(-6*n + n - 15*n - 11*n).\nAnswer: -3162*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g + 3. Let m(r) = -18*r - 4. Let y(i) = 6*a(i) + 5*m(i). What are the prime factors of y(5)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2446*m**3*o - 2*m**3 + 711*m**2*o - 9*m**2 wrt m.\nAnswer: -14676*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6430 and -89\/6.\nAnswer: 19290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 93 + 12*i + 94 + 142 - 419.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2375861966.\nAnswer: 2, 1283, 925901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 2*q**2 - 3*q + 6. Let v be x(7). Let y = -2440\/3 - v. Which is greater: -13 or y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g - 2. Let r be w(-3). Suppose -133 = -46*o + 51. Calculate the highest common factor of r and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -351 and -1225 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -536*u - 29. Let y(z) = 177*z + 11. Calculate -4*q(p) - 11*y(p).\nAnswer: 197*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/900 and 79\/2?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1677 - 1694) + (-25 - 7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312 + 6550\/21. Is 0 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-10))\/(6\/(-15)). Suppose -4*t - 4*j = -8, -4 + 2 = v*t + 2*j. Is 0 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4051428 rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3325 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, -58, 1\/3 in increasing order.\nAnswer: -58, -3, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 235003 divided by -106\nAnswer: -235003\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1488.7?\nAnswer: -1492.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -351 + 356. Solve 4*o + 5 = 3*x, 3*o - 3*x = -x - r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -2, 56271, 5.\nAnswer: -2, 5, 77, 56271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30611163857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 79 + -10 + (24 - ((-9 - -13) + 6))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5031676, -5031681, -5031690, -5031703, -5031720, -5031741?\nAnswer: -5031766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 38 + 120)*(20*g - 9*g + 17*g)*(g + g + 0*g) as i*g + x*g**2 + j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*g + 0 + 2\/5*g**2 - 2\/5*g**3.\nAnswer: -2*g*(g - 3)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530812619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c - 53?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5042.2 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 20*p = -792. Let b = p + 247\/3. Find the common denominator of b and 25\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1042522 and 72254.\nAnswer: 7297654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 + 712. Suppose 105 = 2*c - a. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**3 - 9*u**3 - 10 + 41*u**2 - 43*u**2 as w + y*u + h*u**3 + v*u**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t - 1. Let i be 1\/2*(-3 + 5). Give y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 27 + 31 - 67*o - 62. Let l(w) = -68*w - 7. Let b(s) = 3*l(s) - 4*p(s). Differentiate b(f) with respect to f.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/(-72) - (-14)\/(-24). What is d in l*d**2 + 1\/3 - 1\/2*d = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = -2*w, 3596*w - 46 = 3598*w - 5*k. Solve -1\/2*q**5 + q**2 + 0 + w*q**3 - 3\/2*q - q**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 4\/(-12). Let q(z) = -4*z. Let j be q(f). Suppose 3*b + t - j = -b, 2*t = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-2 - -1) - -2) + (-84 - -76)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822636699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155255?\nAnswer: 5, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6074d7 + -17?\nAnswer: 6074c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20156, -80662, -181496, -322652, -504124?\n\"Answer: c**3 - 20170*c**2 - 3*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -103. Let b = i - 6. What is the greatest common factor of b and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 798, -24, 733, 1, 0.5, -5?\nAnswer: 798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:08 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1346 = h + 2*q - 6*q, 0 = -5*h + q + 6787. Let t = h + -696. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10883\/38023 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 12. Let f = -10.2 + i. Which is the smallest value? (a) -3\/8 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = o - 0, -4*o = 4*j - 24. Suppose 0 = 2*c - 4*c + 126. What is the highest common divisor of c and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 26 = -15*p. Suppose -4*c - 1 = 5*i - p, 0 = -4*i + 4*c + 24. Suppose -i*q = -5*q + 109. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.8 or 0?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-13*a - 24*a + 180*a)*(1 + 0 + 1) + a - a - 9*a as j*a + q and give j.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 4*t + t)*(-t + 2*t - 3*t)*(1 - 4 + 2).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4226 - 165?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-999)\/(-9435))\/((-2)\/10*(-3)\/(-2))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004785463525 to 7 dps.\nAnswer: 0.0000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435\/1547 - 1\/221. Which is the second smallest value? (a) -3\/7 (b) -12 (c) -3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:33 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4982*c**2 - 81*c**4 + 4982*c**2)*(2 - 2 - c).\nAnswer: 81*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + -15 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/3955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, o: 1, f: 3, q: 3}. Give prob of sequence ffft.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1208190 - 10*n - 3*n + 1208190.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11709715 - 11?\nAnswer: -11709726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*90*5\/765?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10063 is divided by 64?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364752266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v + 5\/12*v**4 + 2\/3*v**3 + 1\/15*v**5 + 0 - 30*v**2. Factor c(k).\nAnswer: 2*(k + 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968185 is divided by 726?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1123045 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5080, 5466, 6106, 7006, 8172, 9610, 11326, 13326?\n\"Answer: b**3 + 121*b**2 + 16*b + 4942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23577 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66720 - -105?\nAnswer: 67025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2060, 4134, 6208, 8282, 10356, 12430?\n\"Answer: 2074*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3 + 68 + 6*x + 22*x**5 - 24*x - 8*x**5. Find the third derivative of m(f) wrt f.\nAnswer: 1680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -69.\nAnswer: 62\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -11133?\nAnswer: 11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - -2 - (888 + -841)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/3 + i. Let r(q) be the first derivative of 0*q**2 + 43 + 0*q - 1\/3*q**3. What is a(r(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.97. Let o = l + 0.03. Let r = 30 + -31. Which is the nearest to r? (a) o (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 4:24 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1460*r - 1504*r + 352 = 0. Calculate the lowest common multiple of 8084 and r.\nAnswer: 16168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.10950938 + 0.06551025. Let k = v - -0.044. What is k rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 7081. Let f(p) = p + 4045. Let r(g) = -7*f(g) - 4*z(g). Suppose 3*i - u + 28 = 0, -2*i - 52 = 2*i - 5*u. Determine r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/677567 and -1\/1705?\nAnswer: 3387835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872) + -2 + -3.\nAnswer: -5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44880 = -6*x - 20*x + 2*x. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92 and 0.1.\nAnswer: -91.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -170\/3. Let f = 0.5 + -0.2. Which is the closest to 2? (a) p (b) -3\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -8 - 14 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -30742, 4?\nAnswer: -30742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -68*w**3 + 197*w - 1656 + 51*w**3 + w**4 - 4*w**4 - 209*w + 1242*w**2 - 388*w**3 = 0?\nAnswer: -138, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/36)\/(3\/(-8)). Solve -4*x = -4*n - 32, -5*n = -m*n - 2*x + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8217683 to the nearest integer?\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 52962, -4, -3 in increasing order.\nAnswer: -5, -4, -3, 52962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 574, 573, 572, 571, 570, 569?\n\"Answer: -f + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -73 + 1. Solve 3*c - 9 = n*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 + 4 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -773133*m**6 - 3449286*m**2.\nAnswer: -92775960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3546 and -5.\nAnswer: 1.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 10*l - 6. Let a = -278 - -268. Determine q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**6\/360 + b**5\/8 + 3*b**4\/8 + 226*b**3\/3 - 213. Let g(x) be the third derivative of f(x). Give g(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -12*y + 7*y. Let d = -10 + y. Sort 2\/5, 0.3, d in increasing order.\nAnswer: 0.3, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 3971?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:43 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 26 = 5*w, 4*l + l - 10 = 3*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -612 (base 16) to base 2\nAnswer: -11000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 2590?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12004?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1007523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1023?\nAnswer: -4\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58b770 - -35?\nAnswer: -58b739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*m + 826 - 1490 = 2021 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 457 + -402. What is the least common multiple of q and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.3078 (c) -5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 3. Let c be s(-1). Let y(d) = d**2 - 3*d + 2. Let g be y(c). Suppose g = -6*j + 7*j + 111. What is j rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138.1 + 138. Let j = 14 + 4. Let d = j + -17.7. Which is the closest to g? (a) d (b) 0.5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjuu when four letters picked without replacement from {u: 9, x: 1, j: 9}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -39*s + 132. Calculate q(6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -10 + 7 + -14 + -143.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 53 - 36 - 29 + (-4*v + 3*v + 0*v)*(-2*v + 4*v - 4*v).\nAnswer: v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/24 and -17\/51696.\nAnswer: 51696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:01 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 48*i**2. Let l(v) be the third derivative of v**4\/24 + 167*v**2. Determine l(s(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5848 + 13052 = 0. Suppose 6*y - 3054 = c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5395 and 830?\nAnswer: 10790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20332 - 10102?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 4, 0.4, -55.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3814840 or -3814842?\nAnswer: -3814840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971 (base 10) to base 11.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Suppose i = -2*s + c - 19, c + 4 - 9 = 0. Let a(f) = -f**3 - 7*f**2 - 2*f - 5. What is the units digit of a(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25214764 by 4.\nAnswer: 6303691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 50*p + 17. Let h be (-8)\/(-10) + ((-1008)\/35)\/(-9). Does 9 divide v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42532 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3814*n**3 - 13*n - 9*n - 3850*n**3 + 6*n + 2 - 18*n.\nAnswer: -36*n**3 - 34*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-616) + (-7230)\/168.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320 + 161. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.051 (c) -1 (d) 0.8 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22014, -44103, -66192, -88281, -110370?\n\"Answer: -22089*d + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30186 and 20124.\nAnswer: 60372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f**2 - 15 + 6*f**2 - 8*f**2 - 7*f**2 to r + n*f**2 + u*f and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r + 77. Determine f(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 681, 2\/117, 2\/9, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 35 + 23 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/11)*m*m**37 assuming m is positive.\nAnswer: m**(414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(19*a - a - a).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 358*j**2 + 2*j + 1. Let a(u) = -2*u**3 + u**2 + u - 1. Let i be a(1). Let d be f(i). Is d\/4 + 1\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*q + q. Suppose b - q*r - 1686 = 0, 4*b - r + 2383 = 9070. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61463, 59172, 56881?\nAnswer: 54590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645932228413 minus 12?\nAnswer: 2645932228401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 0 + x**4 + 0*x**3 + 0*x**2 + 0*x**5 + 5\/42*x**7 + 9*x + 0*x**6. Find the third derivative of l(z) wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727 - 735. Let p = 1\/14 + -3\/14. Which is the biggest value? (a) d (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (-1 + sqrt(68)))*-6)**2 + 1*(sqrt(68) - (sqrt(68) - 3*sqrt(68))) + (sqrt(51)\/sqrt(3) + 5 - (sqrt(2057) + 0) - sqrt(204)\/(4*sqrt(48))).\nAnswer: -33*sqrt(17)\/8 + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:57 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 56*x**2 + 2*x - 1. Let p be s(1). Let r = 134 + 10. Let u = r + -125. Calculate the highest common divisor of p and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x + 23 - x**3 - 4 + 25*x**2 + x + 10. Is r(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 376*q - 8. Determine u(-94).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27\/13 - -9\/52. Determine x so that 3\/4*x**4 + 9\/4*x**3 - 3\/2 + 3\/4*x**2 - i*x = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -1. Let w be (5 - q) + (-23)\/(-10). Let k = -7\/15 + w. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r - 14*r - 30*r as f + l*r and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.7, -1\/441, -3.7, -28.6?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -99*o**5\/10 - 5*o**3\/6 - 15*o**2\/2 - 3*o - 21. Find the second derivative of g(k) wrt k.\nAnswer: -1188*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8125 - 708. Let s = j - 103777\/14. Find the common denominator of s and 1\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-206)\/43054)\/(15*(-8)\/528)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-10)\/(-990))\/(5\/((-40)\/(-4)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10332 and 98472570?\nAnswer: 590835420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11) + (sqrt(11) - -4*sqrt(44)\/sqrt(4)).\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 773 = 562. Let a = n + -170. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 349 = 1891. What is the highest common divisor of 48 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**3 + 253*z**2 + 216*z - 313. What is q(37)?\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3485 - -3488. Let r(d) be the third derivative of 0*d**l + 0 + 1\/6*d**5 + 1\/30*d**6 + 0*d**4 + 0*d - 3*d**2. Find the third derivative of r(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is abe61 (base 15) in base 2?\nAnswer: 10000101011100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 20 = n, -4*n + 9*q - 4 = 6*q. What is the second smallest value in 0, n, -2\/309?\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 404*x + 10739. What is a(25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6389400589?\nAnswer: 11, 13, 44681123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -917 less than 178?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 26 - 37 = 9*y, -43 - 5 = 2*f + 5*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2849985*b + 90. Let g be h(-6). What is g rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/(-52)*17\/(323\/38).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from wwwkwwwkwkwwwwwkkk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3015117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*p = 1, -105 = -2*d - 4*p - 93. Let s = -9 + 16. Solve -d = u - 3*u, 3*j + 4*u + s = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 10. Suppose 3*h = -x - 10, x = 4*x - 5*h - 40. Solve -5*v + x*p = -g, -v - 1 = -3*v - p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 1, u: 1, x: 1, z: 1}. Give prob of sequence qhz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than -2.50582344804?\nAnswer: -3.80582344804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*u**2 - 141*u + 41*u + 64*u + 38*u.\nAnswer: 325*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/102 and 29\/60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 1, j: 6, c: 3, t: 4}. Give prob of picking 2 t and 1 j.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 76 = 23*l + 37 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010 (base 2) in base 12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 116 = 2*t - 5*k, 5*t - 3*k = -282. What is the units digit of (-5094)\/15*90\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*-5 + -5 + sqrt(17) + sqrt(1088) + (sqrt(1377)*-2 - sqrt(68)\/sqrt(4)*3))**2.\nAnswer: 170*sqrt(17) + 4938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 108047382\nAnswer: 108047394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-36)*-3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - 1)*-3)\/1. Let j be (-13)\/(-2) - 12\/8. Suppose 0 = -5*z - 2*o + j - 0, 3*o = -4*z - 3. Solve -2*d = s*k - 19, z + 16 = 5*k - 3*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 3*n - 20, 3*p + 2323 = -5*n + 2319 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104491615.\nAnswer: 5, 20898323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 105 + 195. Suppose 0 = 4*t + 6*j - 11*j - 41, -3*t + h = -3*j. Calculate the remainder when 80 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(204)\/(sqrt(36)\/sqrt(3)) + 2 - (3 + -3*sqrt(17) + sqrt(85)\/(2*sqrt(5) - sqrt(5))))**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + w**3 + 8 + 36 - 2*w**4)*(3 + w - 3).\nAnswer: -2*w**5 + w**4 + 76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -293.6 + 293.65276. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 15*o - 10. Let l(y) = 2*y**2 - 9*y + 6. Let j(m) = -5*l(m) - 3*p(m). Let k(h) = 3428*h. Calculate k(j(x)).\nAnswer: -3428*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/20 and -29\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + -75. Let h = 16 - y. Sort -2, -2\/17, h.\nAnswer: h, -2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -74. Suppose -14 = -4*q + 4*l + 158, 5*l - 72 = -x*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143153 (base 6) in base 2?\nAnswer: -1110101110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 8*d**2 - 9*d - 4. Let s be y(7). Let w = s + 30. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 107616*n**2 + 1076560*n = 0 for n.\nAnswer: -10, 0, 26914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g - 40. Let o(d) be the third derivative of -d**6\/120 - d**5\/6 + d**4\/24 + d**3 - 6798*d**2. Calculate o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**6\/14 - 3*j**5\/35 - 15*j**4\/28 + 5*j**3\/7 + 6*j**2\/7 - 12*j\/7 - 2538. What is u in n(u) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*n + 324*n + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 1821580\nAnswer: 21\/910790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 6.150127?\nAnswer: 3.0750635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -0.3 (c) -1.47 (d) 5 (e) 0.2 (f) 15\/7 (g) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 31. Let p = -197\/6 - -33. What is the biggest value in -4, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020872143831 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g**3 + 2*g + (40*g - 12*g + g)*(-2*g - 2*g**2 + 2*g) - 2 + 3*g**3 + 2)*(-1 + 10 + 8).\nAnswer: -884*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 80. Suppose 3*o - 5 + 3 = 2*t, q*o - t = 3. Suppose 3*l - 465 = -o*p - 69, 0 = -3*l - 2*p + 402. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, d: 5, k: 1, f: 2}. Give prob of sequence fpd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 25388183 to the power of 1\/2, to the nearest integer?\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 <= -34406\/3259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20)\/((270\/16)\/5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - -6*-2*sqrt(143) - -5*sqrt(143)*2)\/((-1*sqrt(539) + sqrt(11) - sqrt(11)) + sqrt(11) + sqrt(539)*2).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289075086?\nAnswer: 2, 3, 23, 698249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15c790a + 11?\nAnswer: 15c791b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.035 + -0.189. Let n = -0.046 + o. Let p = -0.5 + -2.5. What is the second smallest value in n, -5, p, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-6) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 6*g**3 + g + 3*g**3)*(4*g**2 - g**2 - 5*g**2).\nAnswer: -12*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -917 divided by 38\nAnswer: -917\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18443320 divided by -3688664\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**2 + 7*t**2 + 3*t**2 + (43*t - 22*t + 19*t)*(-1 + 3*t - t - 3) in the form x*t**2 + p*t + y and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*-1)\/sqrt(3).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 1068. Let w = -156 + m. Suppose -95 + 8 = -3*o. Calculate the remainder when w is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p - 30*p - 165*p.\nAnswer: -140*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y - 6. Suppose 4*r = y*r + 14. Solve -r*x = -2*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 - r - 1. Suppose -3*s + 51 = 3*v, 0 = 4*v + s + 2*s - 67. Suppose 0 = -v*q + 13*q - 3. Calculate h(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**2 - 61*p**3 + 74 - 40*p**3 - 74 in the form s*p + h*p**2 + k*p**3 + r and give k.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19577888\/135 + 145024. Let s = x + 16\/27. Calculate the common denominator of s and -5\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7)*(-7)\/(-3). Let z be (1 - (-6)\/(-8))*0. Is z greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inip when four letters picked without replacement from niilnliilnp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 17. Let q be 4\/1*(-1)\/4*-11. What is k(q)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 - 16*z + 20. Let a be h(-9). What is the second derivative of -50*k - 279*k**a + 9*k + 2 + 1 - 14*k - 2 wrt k?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j - 74. Which is bigger: j or 24?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((3 - -1) + 29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 961, 1087, 1295, 1585?\n\"Answer: 41*h**2 + 3*h + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 911*m**5\/60 + 589*m**3\/6 - 46*m**2. Differentiate s(b) wrt b.\nAnswer: 1822*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7354 + -1.\nAnswer: 7353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 35311*y**2 + 78101026*y - 758131959.\nAnswer: (y - 4409)**2*(4*y - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1858 - 1858.5. Let m = 71\/2 + -37. Let q be (1 - -3) + (0 - 0). Which is the nearest to q? (a) -0.3 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:57 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let p be (-1)\/(q\/(-360))*3. What is p rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7866272309 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65804?\nAnswer: 2, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 505753221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 698429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -2952.1.\nAnswer: -2952.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*4 + sqrt(77))*1*-5)\/(5*sqrt(1100)*-4).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 12096958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/7)\/(21\/147)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5908 + -5905. Which is the second smallest value? (a) -3 (b) 0.06 (c) -4 (d) j (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((((i*i**(2\/13))\/i)\/i)\/i)\/i)*i**(1\/8)\/i*i\/((i\/i**5)\/i)*i*i**(-4))\/(i**(-2)*i\/(i\/i**6)*i*i)**(2\/43) assuming i is positive.\nAnswer: i**(25455\/4472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 36*c**2 - 36*c. Let f be ((-4)\/8 + 0)*-12. Let v(t) = f*t - 8*t - 3*t + 5*t**2 + 0*t. Let r(o) = -15*v(o) + 2*z(o). Factor r(j).\nAnswer: -3*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffiviiii. Give prob of picking 1 v, 1 i, and 2 f.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 62994.5m?\nAnswer: 62994500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, m: 2, n: 2, q: 1}. What is prob of picking 1 m and 2 n?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 150, 344, 616, 966, 1394, 1900?\n\"Answer: 39*n**2 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*u - 7, 0 = -4*u - 5*q - 1 - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 + 717631*i**3 + 17*i**2 - 5*i - 138?\nAnswer: -120*i**2 + 4305786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + (-270)\/(-72). Suppose 0 = -3*t - 5*d + 32, -i*t + 37 = -0*d + d. What is the remainder when 61 is divided by (6\/t)\/(1\/24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*1*62\/(-217).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*k**2 - 35*k - 376 wrt k.\nAnswer: 36*k - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -44. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -p + 22, 446*p - 6 - 4 = 445*p + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*f**4 + f**3 - 796*f - 239*f**4 + 1129*f**4 wrt f.\nAnswer: 11268*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 1122097.\nAnswer: -12\/1122097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -91, -95, -103, -115, -131?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541357, 1082713, 1624069, 2165425, 2706781, 3248137?\nAnswer: 3789493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by 48.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959327.\nAnswer: 17, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.532518 millilitres to litres.\nAnswer: 0.008532518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*b - 1774*b**3 + 124*b + 30824*b**3 - 670*b**3.\nAnswer: 28380*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 435.592 * 5\nAnswer: 2177.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 15*d = 2*r - 90277, 0 = -3*d - 4*r + 54183. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 24 = -21*t. Solve -t*p = 20, s = -3*s - 5*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16285, 10942, 5601, 262?\n\"Answer: f**2 - 5346*f + 21630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1608, -1, 2140 in ascending order.\nAnswer: -1, 1608, 2140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687834 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, -1\/8, -0.14, -102?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 141*p**2 - 193*p - 7426. Determine x(-140).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7 + 2*o - 9 + 16. Let c(v) = -19*v**2. Give w(c(z)).\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 65.95799t?\nAnswer: 65957990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 820759631467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**9\/98280 + q**8\/14560 - q**4\/6 + 5*q**3 - 10*q**2 + 3. Let i(o) be the second derivative of v(o). Factor i(n).\nAnswer: -2*n**3*(n - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 494506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -29.3431?\nAnswer: 88.0293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - 14*x**2 - 8*x**2 + 37*x**2 + 61.\nAnswer: -x**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + 0 + (-438)\/(-9). Suppose 23 - d = -k. Solve -2 = -7*q + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(448) + 1 - sqrt(448))*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 27. Let t be w(-9). Suppose t*x + 0 + 1\/2*x**2 - 1\/4*x**4 - 1\/4*x**3 = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -698, -667, -578, -401, -106, 337, 958, 1787?\n\"Answer: 5*k**3 - k**2 - k - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = -37. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7899782 to the nearest integer?\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111182834*p - 111182750*p = 7560 for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-5 + 2 - (8 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5, 3*d = -39*y + 43*y + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let n be o(1). Let m(l) = -l**2 + 2*l - 2*l**2 + 2 + 3*l + 2*l**2. Let h be m(5). Solve h*b + 8 = -n*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3730\/13 - 60759\/208. What is the common denominator of (-440)\/64*((-21)\/28 - -1) and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - 522\/(-5). Let d be k\/5 + 2\/10. Let j be (-6)\/(-2) + d + -19. Solve -2*q - 8 = -3*i + j*i, -5*i = -3*q - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4 + (-7 - -9). Let r = -13\/10 + 9\/10. Let o = 7 - 7.3. What is the nearest to 2 in r, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0*f**3 + 0*f + 4\/3*f**4 - 4\/3*f**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437220 is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-5))\/(1 + -5). Let q be (4\/(-12))\/t*-6. Suppose -q*l - 45 = -3*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.93 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, p: 1, n: 1, k: 2, g: 3, y: 4}. Give prob of picking 1 p and 1 k.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045297 * -122.\nAnswer: -5.526234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 1045*j**3 - 13010*j**2 + 25100*j + 5000 = 0.\nAnswer: -2\/11, 50\/19, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 25. Suppose 0 = n*a + 5*d - 10, 5*d + 4 + 2 = 3*a. What is r in 6*r + 0*r**a + 9*r - r**2 - 4 - 11*r = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)\/w*w**15)\/((w\/(w**(2\/3)*w))\/(w\/w**10)) assuming w is positive.\nAnswer: w**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*l**3 - 33*l**2 + 33*l**2)*(3*l - 5*l + 4*l).\nAnswer: 14*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 24. What is the remainder when 37 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1600 is divided by 748?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81068.3 millilitres in litres?\nAnswer: 81.0683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 724 + -514. Calculate the least common multiple of 693 and s.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (71*b - 95*b + 64*b)*(3*b + 2*b + 0*b + (-4 - 3 + 3)*(b - b + 2*b)).\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 9557?\nAnswer: 95570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -210, -16, -1, 5, 1 in descending order.\nAnswer: 5, 2, 1, -1, -16, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95359603?\nAnswer: 71, 241, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 145096\nAnswer: 4788168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 - -3?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 18*l**2 - 30*l - 38. Let c be r(16). Let o(f) = -f**2 - 7*f - 2. Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 501*j**3 + 16*j**2 + 5*j + 154. Let f(v) = 1502*v**3 + 52*v**2 + 17*v + 463. Let g(w) = 13*d(w) - 4*f(w). Find the second derivative of g(k) wrt k.\nAnswer: 3030*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/14 and 131\/3918.\nAnswer: 27426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34019*m**3 + 17231*m**3 + 16786*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 3, k: 4, g: 1}. Give prob of sequence oh.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88 - 12?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 415 = -3*p, -2*c - 770 + 180 = -4*p. Let f be 6\/(-4)*(-174)\/9. What is the greatest common factor of f and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Suppose 2*g - 28 - 4 = 0. Let s(n) = g*n - n - 16*n. Determine -m(p) - 4*s(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 38*n + 4*w = 88, -5*w = 5*n - 190. Solve 28*v - 8 = n*v + 2*p, 4*v - p = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 0*m**2 - m**2. Let h(a) = 3*a + 1. Let k be h(1). Let v(y) = k*y - y - 4*y. Determine v(s(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/4 - 26955*f**2\/2 + 259000875*f\/4 - 37079967375 = 0 for f.\nAnswer: 660, 8655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 = -2*y - 64, 4*y = -16. Let b = a + -88. Let s = 60 + b. What is the lowest common multiple of 84 and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 1100010?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*f - 3, -2*b + f = 3*b - 5. Let d(u) = 2*u - 26*u**3 - b - 3*u + 25*u**3 + u**2 - u. What is d(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*-10 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, e: 3, w: 3, g: 1}. What is prob of sequence ww?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30003461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*o - 10*o - 106*o)*(-5*o - o**2 + 5*o).\nAnswer: 245*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 1}. What is prob of sequence kb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55549340 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = 5*n, -5*m = -3*n - n + 37. Suppose 9 = -3*c - 3*x, n*c + c = x - 32. Let r(w) = -w**3 - 6*w**2 + 5*w - 8. What is the units digit of r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84982.\nAnswer: 2, 42491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 722817961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -29 (c) 239 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5\/6, 0.5, -1, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -14554 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 12:23 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:34 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -16)*7 - (1 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/55 + (8900\/55 - 1). Differentiate -k**3 - 53*k + 13*k + 8*k + 8 + l + 2*k**3 wrt k.\nAnswer: 3*k**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - w + 2 = 3, -2*w - 2 = -n. Let c(r) = -2*r**2 + 9*r + 20. Let k be c(6). Suppose -3*t + 8 = k*b, 6*t - 8*t = -4*b. Solve -m + t*m - 5 = n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t. Let y(m) = 101*m**2 - 16*m + 2. Let r(w) = -4*s(w) + y(w). Let a be r(5). Let p = a - 928. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -3, 1, -117, 0, 12 in increasing order.\nAnswer: -117, -3, -2, 0, 1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 6) to base 9.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3227 smaller than -313617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (44 + -51 - 15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122397 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*18\/(-441) - 2\/(-7). Suppose q = -20*v + 10*v + 11*v. Sort v, -4, 3, -3 in decreasing order.\nAnswer: 3, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.117? (a) 1.1 (b) -9 (c) 5\/4 (d) 0.1 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {p: 2, n: 8, f: 1, v: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -385, -786, -1243, -1774, -2397, -3130?\nAnswer: -3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s - 192*s + 3075 = -15*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 0)\/((-33)\/(-55)). Suppose 0 = 2*m + 3*m + l - 18, -f*m + 21 = 2*l. Solve 0 = m*d - 2*a + 17, 2*d = 3*a + 1 - 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**4 - 2*l**2 + 2*l + 1. Let v(f) = 59*f**4 + 2*f**3 - 2512*f**2 - 10*f - 5. Let i(p) = v(p) + 5*w(p). Find the third derivative of i(r) wrt r.\nAnswer: 1656*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -160\/7*c + 148\/7*c**2 + 12\/7 = 0.\nAnswer: 3\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -33. Suppose 5*n - y*n = 132. What is the remainder when n is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*y + y. Let v = -1.49 + 2.49. Put y, v, -2\/11, 0.5 in decreasing order.\nAnswer: y, v, 0.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*u**2 + 37*u**2 - u + 126*u as o*u + r*u**2 + d and give o.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + 0*o**4 - 2*o**4 - 2*o**4 + o**4 + 3*o**4 + (0*o + 0*o + o**2)*(3*o**2 - 3*o**2 + o**2) - 80*o**4 - 140*o**4 + 403*o**4.\nAnswer: 188*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 55 = 5*r + 5*o, x*r = o + 7 + 6. Let n(f) = 5*f - 13. Let y be n(r). What is the highest common divisor of 34 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c = 30. What is the highest common factor of c and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + 3 + 2 - 6 + (-2 - 1 + 2)*(-2 - 3 + 3))*(-j + j + j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5447948.2479 and 24.\nAnswer: -5447924.2479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 17) + 160 + 4 + -74 + 36.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*y = -28338, 5*y = 2*v - v - 5690. Let p be (-56563)\/(-10) + -20*18\/(-45). Let k = p - v. Find the common denominator of k and -33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/1*(-5)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7575, 1\/2, -0.5, 18\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**3 + 2*u**3 + 5*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 13, -16, 0 in descending order.\nAnswer: 13, 2, 0, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31836635 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*(-15)\/(-35). Let u = 11.5 + -9.5. Put u, -16, k in ascending order.\nAnswer: -16, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14*(-4)\/40*-5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*h**2*j + 172*h**2 + 21*j - 1 wrt j.\nAnswer: -16*h**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*j**2 + 1 - 1 - 80*j + 78*j as f + v*j + d*j**2 and give d.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -73.0488. What is a rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1524 + 3851 + 7685 + 10531 - 3922 + 10420)*(3*o**4 - 2*o**4 + o**4).\nAnswer: 54082*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 8:04 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13948 - -55445\/4. Let n = -87 - j. What is the closest to 2\/5 in -3, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 507?\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14)\/(h\/(h**17*h*h))*(h*h**(8\/7))\/(h**(-17)\/h) assuming h is positive.\nAnswer: h**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4113.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -76.5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 2. Let u(j) = -3*j + 15*j + 4*j**2 + 9 - 11*j. Let v(s) = -9*g(s) - 2*u(s). Find the second derivative of v(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(336\/7)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -47\/3, 0.5, -2\/25, 80, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -5\/12*f**4 + 3*f - 5\/2*f**2 + 0 + 1\/20*f**5 + 1\/3*f**3. What is the units digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 plus 704523.09?\nAnswer: 704423.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n**2 + n)*(-10*n - 17*n - 15*n)*(-2 - 2 + 3)*(0 + 8 + 3).\nAnswer: -924*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1324093968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + -360 + 338.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58a879 (base 13) to base 16.\nAnswer: -202bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13329.95 - 44?\nAnswer: -13373.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(6292)*-3)**2.\nAnswer: -906048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -233*y**2 - 488*y**2 + 2592*y**2 to the form u*y**2 + d + m*y and give u.\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(50)\/(sqrt(5)*1 + sqrt(5))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*h**3 - 18140*h + 36647*h - 5*h**5 - 15*h**4 - 18347*h + 70*h**3 - 300*h**2 = 0 for h.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 426\/(-12) + 1\/2. Let a = s + 61. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10510, 10511, 10512, 10513, 10514, 10515?\n\"Answer: i + 10509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/35292 and -143\/816.\nAnswer: 141168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krsrrzzorsozrrzkzcor. Give prob of picking 1 k, 1 c, and 1 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/6 + (-2)\/3. Let w(i) = -7*i + 4. Let o = 3 - 7. Let l(z) = 6*z - 3. Let u(j) = o*w(j) + p*l(j). Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1183*t**2 + t*x - 15*t - 13432*x wrt t?\nAnswer: 2366*t + x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 92. Suppose 0 = 4*b - 4*z - 1524, -x*z + 1524 = -b + 5*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = 2*n, -n + 3*n - 32 = -4*u. Suppose -5*k = 3*t - n, -3*k - 5 + 3 = t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 divided by -431?\nAnswer: -957\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 8 - 3, 5*n + t = 29. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -i - 21. Let r = 11 - 1. Calculate the least common multiple of r and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 106\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 78426.06um?\nAnswer: 0.00007842606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000011222 (base 3) in base 4?\nAnswer: -103100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/24 + 25*f**5\/12 - 85*f**4\/6 + 110*f**3\/3 - 596*f**2. Factor p(k).\nAnswer: -5*(k - 22)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 2*q)*(q - 6*q + 3*q) + (3*q - 3*q - 5*q)*(-2 + 2*q + 2).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 + 18*n**2 - 4*n**2 - 3*n**2 - n as a*n + m*n**2 + k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597296 is divided by 29579?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/6 and (-309)\/36 - 2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.48 * 79.\nAnswer: 5409.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.347 - -2.346997894. Round v to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -19. Which is the second biggest value? (a) o (b) 0.15 (c) -3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*w + 24 = 471*w - z, 82 = -5*w + 3*z for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 3*(-16)\/12. Is -1\/3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 148441, 296855, 445269?\n\"Answer: 148414*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.87964 months in decades?\nAnswer: 1.048997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 40. Let j = 65 + -64. Let a(g) = 6*g**3 - g**2 - g + 1. Calculate the remainder when l is divided by a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 6*n**3 + 30727576789 - 30727576789.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -44, -63, -90?\n\"Answer: -4*n**2 + n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from ppbuppbbupppupuppp.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t - 11. Let o be k(5). Let x(n) = -n**2 - 17*n - 9. Let j be x(-15). Let i = o - j. Solve 0*z + i = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 40 = p + p, 5*g + 5*p - 50 = 0. Let h = 13 - g. Suppose 4*o = f - h*f + 42, -5*o + 80 = 5*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1228 divide 150140250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1\/14 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 4:40 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 200?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryijryyiyyryyirjy. Give prob of sequence ri.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2 - -1)*2. Suppose t - u = 42, t = p*u - 20 + 62. Suppose -t = -n + 3*g, 0*n + 5*g - 236 = -4*n. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5254 + -1449. Suppose m = 5*q - 5*l, 2*q + 29*l - 1557 = 24*l. List the prime factors of q.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78650 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/182 (b) 3 (c) -6 (d) -887\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -24. Solve 0 = z*a - 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-40))\/(25\/15).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 336.0196 millennia?\nAnswer: 33601.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -18. Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20 + 33*a - 66*a + 38*a. Let i be p(13). Let d be (-10)\/i - (-4)\/34. Solve d*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -3\/5 (c) 10\/79 (d) 2\/3 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**3 + 6*n + 4. Let t(m) = 3*m**3 - 3*m - 2. Determine -4*k(l) - 9*t(l).\nAnswer: -3*l**3 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 4*s + 3. Let f be t(-5). Suppose 0 = o - u - 9 - f, -3*o = 4*u - 72. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -0.2. Let k = -13282\/3 + 4371. Let n = k + 56. What is the biggest value in 7, n, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 75*f - 15*f - 512992. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42580822 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117329028 to the power of 1\/3, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -78, -98, -122?\n\"Answer: -2*n**2 - 10*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 7*d**2\/2 - 5*d - 3. Let m(i) be the second derivative of -i**3\/2 + i**2 + 3*i. Give -2*k(s) - 5*m(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*q**4 + 33*q**2 - 96*q wrt q.\nAnswer: -120*q**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 31977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1074\/455, 3, -3.\nAnswer: -3, -1074\/455, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -11. Let d = c + 7.05. Is d less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g**2. Let h(v) = -5*v**2 - 7*v + 14. Let m(t) = -3*t**2 - 4*t + 8. Let p(j) = -4*h(j) + 7*m(j). Give u(p(n)).\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 7, c: 2, f: 3}. Give prob of sequence cfwf.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01887996522 to four dps.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*v - 350, v = 2 - 7. Let x be 3 + -5 + j\/6. Let b = 45 - x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127145.\nAnswer: 5, 59, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 79. Let a(u) = u**3 + 14*u**2 - 17*u + 19. Let g be a(-15). Let d = 89 - g. Calculate the lowest common multiple of d and m(19).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7230, -5791, -4352, -2913?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(2*t**2 + 26 - 26 - 3*t**3).\nAnswer: 9*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 550\/(-4)*6\/(-270) - (-9)\/(-3). Let x(t) be the first derivative of 0*t + 0*t**2 - r*t**4 + 29 - 1\/45*t**5 - 1\/27*t**3. Factor x(d).\nAnswer: -d**2*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + -4*sqrt(13)*3 + sqrt(13))*1)**2*4.\nAnswer: -264*sqrt(13) + 6331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40338 - 3894754912\/96553. Let i = 168002198\/1062083 + z. Let t = i - 158. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9510608 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 7*k + 7. Let q = 134 - 299. Let r = -157 - q. Calculate x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -18 - 2. Let i = v + 18. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -806 - -564. Let s = k - -242.4. What is the third smallest value in -1\/31, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -93. Calculate the remainder when g is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1520 and 200?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140449433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 45*a + 26. Let r be (-736)\/28 - -4 - 2\/(-7). Let b be g(r). Suppose -5*x - 10 = -110. Solve b*k + x = -0*k - 4*t, -5*k - 23 = 3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 4081046?\nAnswer: 4081050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 42. Suppose 0 = -2*w + 8, 0 = 2*f + 3*w + 2*w - 42. Let u(s) = s**3 - 11*s**2 + 7. Calculate the remainder when o is divided by u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/((18\/(-2))\/(3*36\/(-24)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 9:41 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/3)\/((-1195)\/(-2151)). Suppose 20 = 4*a + a. Calculate the highest common factor of a and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 13) to base 3.\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33021222 (base 4) to base 12.\nAnswer: 2bab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114096880 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1212521 or -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 3*w**4 + 0*w**4)*(-10 - w + 22 - 11).\nAnswer: -3*w**5 + 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5164 - 220.6164. Let t = 210 + o. Let u = 10 + t. What is the third smallest value in -2, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5218 plus 2.2?\nAnswer: 1.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 887073331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3090 + 3097.028. Let v = 91 - 84. Let c = v - z. What is c rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*i + 165 = 4*i, -4*c + i + 111 = 0. Is 0 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450473?\nAnswer: 37, 103, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 1, x: 3, y: 1, j: 2, b: 1}. What is prob of sequence tx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711888133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*b + 25*b + 2*i + 325233, -4*i + 325269 = 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15*w + 9*w - 8892 = 0, -4*w + 5888 = 2*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 + 218 + 124 + 125)*(-g**3 - 1 - g**3 + 3) to the form q + h*g**2 + d*g**3 + y*g and give q.\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 + -130. Let r be (-20)\/(-30)*(0 + 3) + 1. What is the remainder when k is divided by (11 - 8)*13\/r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 379 in decreasing order.\nAnswer: 379, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -c80e?\nAnswer: -c811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-20) + 6\/8. Suppose 3 - y = -m. Which is the nearest to -1? (a) -3 (b) 3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/16 and 31\/18624.\nAnswer: 18624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458289403 to the power of 1\/3, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 27. What is p(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1 (b) -0.14 (c) 2\/3 (d) -2.99 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g + 103. Give i(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/76 and 73\/266?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - (-528)\/9. Suppose g + 6 = 5*k. Let o be (140\/15 + -9)\/((-2)\/(-18)). Solve -o*q + k = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215124, 215019, 214852, 214629, 214356, 214039, 213684, 213297?\nAnswer: 212884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1066 and 2665.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 756, 642, 522, 396, 264, 126?\n\"Answer: -3*r**2 - 105*r + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Suppose -g*c = -2 + 14. Which is smaller: c or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m + 34*m + 2*m**2 - 9*m - 19*m + 3 + m**3 - 13*m to the form x + g*m + u*m**2 + q*m**3 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7 + 3*n**3 + 6*n + 4*n - 4*n - 9*n - 2*n + 4*n**2. Suppose -h = -6*h - 25. Let b(p) = p**3 + p**2 - p + 1. What is h*b(i) + s(i)?\nAnswer: -2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12472704 and 80200.\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24304, -46891, -69478, -92065, -114652, -137239?\nAnswer: -159826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -4 (c) -1\/7 (d) -0.81716 (e) 0.0017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (384*z + 317*z - 4 - 762*z)*(-2 + 4 - 5).\nAnswer: 183*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 18*q - 16. Suppose -5*h + 848 = 3*m + 455, -3*h - 3*m + 231 = 0. What is the remainder when h is divided by o(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9058403 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 7. Suppose t + 45 = 2*t + 5*n, 5*t - 4*n = 341. What is the remainder when t is divided by v(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 + 52*b**4 + 228*b**3 + 380*b**2 + 200*b = 0. What is b?\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229260, 229239, 229218, 229197, 229176?\nAnswer: 229155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6527427 divided by 159.\nAnswer: -41053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85641 and 12?\nAnswer: 342564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -1423, -3351, -6071, -9595?\nAnswer: -13935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38228 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 558401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 32*g + 1917. What is y(-60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (190\/(-1520))\/((-5)\/(120\/3))*-66\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 28*r**2 + 99*r - 20. Let q be x(3). What is the closest to -0.2 in -1\/6, q, -5, -11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 4*i, -5*i - 2*g + 7 = -2. Suppose -2*s + 5*m - 32 = m, -i*s = 5*m + 37. Let w = s + 26. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12220422 - 30?\nAnswer: 12220342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 41. What is p(-16)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x**2 + 1)*(-1 - 4 + 2)*(-24 + 24 + 16*x).\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -14. Suppose 5*o - 6 - 9 = t. Is 2 + 77 + (o - 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*v - 11, -5*c + 10*v - 11*v - 21 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 10 + 5*o - 10 to k + r*o**2 + n*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 195, 376, 671, 1080, 1603?\n\"Answer: 57*g**2 + 10*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16, 3*b - 40*i + 37*i - 12 = 0. Let s(t) = t**2 + t + 6. Let x be s(0). Sort b, x, -3, -1.\nAnswer: -3, -1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*q**2*v + q**2 + 142*q*v + 233*q - 9*v + 15401581 wrt q.\nAnswer: -80*q*v + 2*q + 142*v + 233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -67, -77, -87, -97?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16\/5)*x*((x*x**(-5\/3))\/x*x)\/x)**(-14\/3) assuming x is positive.\nAnswer: x**(812\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 5. Let q be k(-4). Let h(o) = -o**3 - o**2 + o. Let x(n) = 3*n**2 + 5*n + 4. Let a(d) = q*x(d) + h(d). Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*u + 24, 5*u - d - d = 26. Let k be 1\/18*u - 2244\/(-108). Suppose -k*w = -22*w + 55. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from xfofrxfoxffrhrfccffx.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/9 + 8*y**3\/9 + 26*y**2\/9 - 8*y\/9 - 8\/3 = 0.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 minus -438695?\nAnswer: 438741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = u. Let c be (-1)\/u*2*-17. Let m = -8 - c. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmubm. What is prob of sequence mbmu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27055855 or 27055859?\nAnswer: 27055859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4995 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -1 (c) -5 (d) -167 (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -1, 32, 89, 176?\n\"Answer: h**3 + 3*h**2 - h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4, -0.1, -4\/11 in ascending order.\nAnswer: -4\/11, -0.1, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4\/24 - 19*t**3\/6 - 54*t**2 + 2. What is x(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*s**4 + 18*s**3 - 57*s**2 + 23069*s - 6 wrt s.\nAnswer: 372*s**2 + 108*s - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74430330 and 104.\nAnswer: 297721320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 53\/(-52) + (-27)\/(-108). Let b = p - -27\/52. What is the nearest to b in -1\/4, 5, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13097 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41379161?\nAnswer: 41379161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 23*u + 12. Let k be v(-21). Let t be 3\/k + (-183)\/(-30). Solve -7*g = -t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 21*d + 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 45*a + 13. Calculate l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/4 - 18422*x**3 + 847990*x**2 + 3613016*x + 3686700 = 0. Calculate x.\nAnswer: -73734, -2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902206990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 122 + 111 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**2 + 237*s - 182. What is the remainder when c(-41) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2943 - 5864 + 2921 + 8*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 535*k**2*n**2 + 16*k*n**2 + k*n - 3*k wrt k?\nAnswer: 1070*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - 0) + (-9 - -8 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 1 - (16 - 51) - (0 + 126)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 39, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15*(-1)\/55)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -953, -116, -3, 1\/11 in decreasing order.\nAnswer: 1\/11, -3, -116, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113419*x**3 + 113403*x**3 - 226825*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w + 4. Let l be ((-8)\/(-6))\/((-7)\/21). Calculate d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b + 2329 = -2288 + 4485 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1638.\nAnswer: 655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 3*h + 45, -n + 9 = h. Let w be ((-3)\/7)\/(4\/(-28)). Determine v, given that -2*v**3 - 10*v + n*v + w*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2277110 and 629666.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 14. Let a(o) = -2*o**3 + o**2 - 8*o + 6. Is a(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110111 (base 2) to base 9\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 73*l - 8. Let h(b) = 2*b + 3. What is 3*h(q) + u(q)?\nAnswer: 79*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.2 (c) 7.04 (d) 4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by 122\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117600\/17*m + 2\/17*m**3 + 5488000\/17 + 840\/17*m**2.\nAnswer: 2*(m + 140)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.33 - 3.67. Let y = 0.1 - 0. Which is the closest to y? (a) 3 (b) -2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105291.\nAnswer: 3, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -74, -88, -112, -146?\n\"Answer: -5*q**2 + q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -26, -4, 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -358 - 5?\nAnswer: -35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - -5*sqrt(170))*2 - sqrt(170))*3)\/((sqrt(10) - sqrt(120)\/(sqrt(36)\/sqrt(3))) + (sqrt(100) + sqrt(100)*2)\/sqrt(10)).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6087 is divided by 52.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*u - 0. Let m = 33 + -34. Let o be (0\/22)\/(2\/m). Solve o*t - u*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147d59 (base 16) in base 9?\nAnswer: 2465880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3651*a = -3454*a - 5910 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33523 (base 8) in base 6?\nAnswer: -145323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41340936 divided by 52?\nAnswer: -795018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8105*w**4 - 5*w - 8107*w**4 - 16*w**3 + 16*w + 2 to the form t*w + z*w**2 + l*w**4 + k + v*w**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67587, -67635, -67683, -67731, -67779?\n\"Answer: -48*g - 67539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 o, and 1 y when four letters picked without replacement from ofvyohvfvf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 22 (c) 2.3 (d) -1\/5 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*m - 0. Let y be 2\/(6\/9)*m. Suppose y = 3*g - g. Put -1, g, 1 in decreasing order.\nAnswer: g, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + (29 - (14 - -2)). Let g(k) = -k**2 + 8*k + 8. Let c be g(6). Solve 5*m = -q*m - c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (853\/2)\/(8 - 7). Let v = k - 444. What is the common denominator of 125\/6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 4*m - m. Let p = 1349\/3 - 441. Let d = p - 191\/21. Does d = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/286)\/((-1)\/(-2))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*a**2 - 150*a**2 + 345*a**2 + 412*a**2.\nAnswer: 788*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360159586?\nAnswer: 2, 127, 1693, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 150 = -5*d. Let g be 6\/10 + (-420)\/d. Let q be -1120000*g\/(-6 + 1). Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2 + a + 5*a**2 + 0*a + a**3 + 4*a. Suppose 0 = -4*i - 2*u - 0 + 2, -4 = 4*u. Let c = i - 4. Give m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnm when three letters picked without replacement from {m: 2, q: 9, n: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.98 - -48. Let y = 0.35 + i. Let x = y + -0.47. Is -6 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 6*p + 5*p. Let l(m) = -m**3 - m**2 + m - 2. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21431 greater than or equal to -21439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-4 - (15 + 15 + -51)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*k*w**3 + k*w - 99*k + 2*w**3 wrt w.\nAnswer: -195*k*w**2 + k + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 12*a + 12. Give w(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12102380607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = 4*v, -4*o - 23*v - 4 = -22*v. Solve o = 5*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 76 = 60. Suppose -w = -l - l. Let o = 246 - l. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + 8 + 44\/(-6). Solve -8\/3*r - z*r**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 g when three letters picked without replacement from gzvzvxevzqzxz?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46113 is divided by 11398?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddedededddeedeeddee. What is prob of sequence eddd?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p = -5. Is 10 a factor of (-7 - 14)*(-1)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 9*x - 6 + 5*x - 35 to the form k + c*x and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4236 - -4316. Put 4, l, -2 in increasing order.\nAnswer: -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -63, -4, 99.\nAnswer: -63, -4, -2, 1, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + 128. Suppose c - 671 = -b. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*3 + (sqrt(14) + sqrt(896)*4 - sqrt(14)))\/((1*sqrt(189))\/((sqrt(30)\/sqrt(2))\/sqrt(5))).\nAnswer: 38*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + o**3 - 6356*o**2 + 2 + 7*o + 6353*o**2 to the form w*o + z*o**3 + n + f*o**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 45*i**2 + 757*i - 103. Let x be p(51). Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-450)\/504)*(7 - 0)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.3 + -35429667783?\nAnswer: -35429667850.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y + 14. Let k be o(6). What is the remainder when 5 is divided by (k\/(-35))\/(2\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16628 is divided by 14891.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 5*x**4\/8 - x**2. Let b(g) = -g. Calculate l(b(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -78. Let j = 7.4 + -6. Which is the closest to 1? (a) 4 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -234, -1, -4\/5, 6, 1\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.1, -1\/5, -0.1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x. Let r be (-1)\/4 - (-116)\/16. Suppose 4*y - 2*u = 22, 5*y + 2*u - r*u = 40. Does 21 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqirqqo. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31162 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-976)\/(-72) - 322\/23. What is the fourth biggest value in -8, r, -1, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139602 and 18776469?\nAnswer: 37552938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/26 (b) 4\/5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49293112951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1000231 (base 4) to base 5\nAnswer: 113031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120011 + -10?\nAnswer: -10120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -111423 (base 5) to base 16\nAnswer: -f94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - x - 27 = 0, r + 3*x = -5 - 6. Let h = 8 + -9. Which is the second biggest value? (a) r (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:24 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*l + 294 - 960. Let a = 0 + 0. Let p = a - 0. Sort p, -1, l, -2 in increasing order.\nAnswer: l, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-175)*(-567)\/(-8100)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134752617?\nAnswer: 41, 509, 102293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/685 or -49?\nAnswer: 2\/685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7350, 1, 4 in increasing order.\nAnswer: 1, 4, 7350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**6\/1620 - z**5\/135 - z**4\/27 + 29*z**3\/6 + 15*z. Let f(s) be the second derivative of w(s). Suppose f(m) = 0. What is m?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttt. Give prob of sequence tt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 569801845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 88 + 233 = -119. Suppose 3*p = k + 8, -3*p - 2*k = -p. Suppose o = -p*o + 42. Calculate the remainder when t is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzywlzlzygv. What is prob of picking 1 w and 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-4)\/((-12*(-3)\/144)\/(-1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74\/5? (a) -0.01 (b) 5 (c) -3\/2 (d) 4 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 14\/5 - (-740)\/50. Solve 3*y = -4*d - 0*d - 17, -5*y = -2*d - m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 + 39*k - 208. What is the remainder when 219 is divided by a(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49332, -98644, -147936, -197208, -246460?\nAnswer: -295692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2 + 1. Let d(p) = 5*p - 5 + z + 0. Let f(i) = -1 - 6*i + 6 + 0. Calculate 4*d(s) + 3*f(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((8\/(-12))\/((-2)\/3)). Which is bigger: -3\/14 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -24*p + 91. Give r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3\/8 (b) -1 (c) -2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 232*i. Let k(d) = d + 8. What is p(k(r))?\nAnswer: 232*r + 1856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116103 (base 12) in base 10?\nAnswer: -3266067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/110 - s**4\/3 + 100*s**3\/33 - 104*s**2\/11 + s - 224. Solve y(t) = 0 for t.\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q - 6, 2*z = -4*q. Let h be z*(2 + (-22)\/8). Let c(r) = r**3 + 4*r**2 + 5*r + 2. Calculate c(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x - 33 = -26*x. Suppose 9 = x*v - 2*v. What is the remainder when (v + 17\/(-2))*(-30 - -20) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfpyfp. What is prob of picking 1 f and 1 y?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v - 199 = -7. Solve -2*p + 27 = -v*z + p, 2*z = -2*p - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 + 6724*k + 2 - 2 - 13997*k + 7273*k.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -18, -4, 0 in descending order.\nAnswer: 0, -2, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -168*t**2 - 3*t + 386. Let g(k) = -505*k**2 - 8*k + 1158. Let i(r) = -3*g(r) + 8*h(r). Differentiate i(p) wrt p.\nAnswer: 342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 35 = -2*w + 12*s, 4*w = -s - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 12*l - 76. Let i = 22 + l. Differentiate i + 5*t**4 - 16 - t**4 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*42\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/2115 and 8\/71205.\nAnswer: 213615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**6*o - 316*j**3*o**2 - j**2*o**2 + 1050*j - o**2 wrt j.\nAnswer: 720*j**3*o - 1896*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 609, 671, 827, 1077?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15074 = -13*h + 22834. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.7486589 to three decimal places.\nAnswer: -25.749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 76 = -70, -2*f + 8 = 4*g - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -5, -3, -1?\n\"Answer: 2*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 8:41 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 81*f**2 - 5*f - 5. Let n be l(-1). Suppose 3*o - 2*z = 220, -5*o = z - n - 277. Find the second derivative of 33*a - 72 + 17*a**3 + o wrt a.\nAnswer: 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = -537*h + 43444 + 38906 for h.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:21 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*x + 160703 = 152381 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Let d = j - 2. What is the third derivative of -4*g**2 - 15*g**3 + 0*g**d - 3*g**2 - g**2 wrt g?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420007785 to the nearest integer?\nAnswer: 20494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 8*u**2 + 8*u - 9. Let m be s(8). Suppose -m = -6*f - 49. Let x be (9\/(-2))\/((-6)\/4). Sort -1, -11, f, x.\nAnswer: -11, -1, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 22 (c) 0.66 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-315)\/(-260)) + (-32)\/(-144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 13*z**2\/2 + 9*z + 8. Let n be (-1 - 12)*(1 - 0). Let w be k(n). Round w to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s - 7. Let m be (-1)\/((-1)\/21*3). Suppose 4*p + 3 = -2*l - m, -5*p = 2*l + 11. Let i be n(l). Solve 4*a - i = -3*c, 5*a = -3*c - 13 + 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51898 divided by -5\nAnswer: 51898\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 75*g**2 + 73*g - 182. Give z(-76).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11370955 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3267*z**3\/5 + 65736*z**2\/5 - 7932*z\/5 + 48 = 0 for z.\nAnswer: 2\/33, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*d - 56 = 0, d = -2*n - 0*d + 22. Suppose 17*w - 13*w - 32 = 0. Calculate the least common multiple of n and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*x**2*y**2 + 10*x**2*y + 25769*x**2 - 61327*x*y**2 - 2*y wrt y.\nAnswer: 22*x**2 - 122654*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - j**2 - 5 + (0*j + 3*j - 5*j)*(0 + 0 - 3*j) - j**2 + j**2 + j**2 + (0 + 3 - 2)*(4*j - j + 2*j)*(1 - j - 1).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006329 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*a**2 - 2744*a + 833012.\nAnswer: 192*a - 2744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 2 = 0. Suppose 5 = 3*u - p. Suppose b = u*b. Let i(r) = r**2 + r + 7. Give i(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qquw when four letters picked without replacement from {u: 2, w: 2, e: 3, q: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*s = 696, 3*s - 4*s = 2*p + 279. Let t = p - -225. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/61 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61915*o**2*z**3 - 18*o*z**3 - 360*z**3 - z wrt o.\nAnswer: 123830*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 850190?\nAnswer: 850190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*f - 108*f + 25 = 0. What is the second derivative of -2*q**4 - 52*q - 6*q**f + 158*q - 26*q wrt q?\nAnswer: -120*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*60\/84*(-6)\/(-10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -0.5, 1, -0.053, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 (base 11) in base 14?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 5*w - k - 1, -3*w = -k + 4. Let j(d) = -d**2. Let m(t) = -7*t**2 - 2*t. Calculate w*m(r) + 6*j(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 731950*v + 26787540125.\nAnswer: 5*(v + 73195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 5*u + 3*u**2 + 2*u**3 - 6*u - u**4 + 3*u**4 in the form a*u + j + k*u**3 + t*u**2 + d*u**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 - 393. Let d = c - -205. What is the closest to d in -0.4, 0, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from qoqoqqooqooqnq?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*z = -18, -5*m + 5*z = -8*m - 26. Let h be (6\/9)\/(m - 0)*-81. Solve 5*j + 7 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10300)\/140*1*-7. Let t = 520 - k. Solve -2*b - 3*b - t = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*k**3 - 127*k**3 + 72*k**3.\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 + 2*y + 1. Let k be f(-1). Suppose -4*l = r, 2*r + k*l + 12 - 2 = 0. Let a be (20\/r)\/(1\/(-2)). Solve -a*u = -5*z, z + 3*u + 20 = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + ((sqrt(567)*1 - sqrt(567))\/sqrt(9))\/(-1*sqrt(1089)))*5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153994 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b, 0 = 3*a + 4*b - 34 - 138. Let u = a - 42. Calculate the remainder when 24 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*b - 48*b - 119186 = 0. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3*j - j - 2834 = -2833, 165 = 50*u + 3*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddlld. What is prob of sequence ddll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasaoaaossossossco. Give prob of picking 1 a and 1 s.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37659 is divided by 181?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1405 equal to -1712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + sqrt(432)*1 + (-2*-2*sqrt(243))**2.\nAnswer: 16*sqrt(3) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 3892*t**5\/5 + 4693*t**2\/2 - 4296. What is the second derivative of m(s) wrt s?\nAnswer: 46704*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 16*u**2 + 9*u - 28. What is the remainder when l(-15) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 + 256*a - 6. Determine i(51).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z + 1. Let i(m) = 2*m + 3. Let x be i(13). Let p = x + -20. Calculate the remainder when 109 is divided by o(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -600, -2400, -5392, -9570, -14928, -21460?\n\"Answer: z**3 - 602*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + 64\/28. Suppose -6 = -q - 4*o, -2*o - 118 = -s*q - 3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -20.7. Which is the closest to 0? (a) -0.2 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0, -1 in increasing order.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 27144 = 8*g. What are the prime factors of g?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124781 is divided by 762?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 3. What is the lowest common multiple of k\/3 - (-18 + 1) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -178 - 207. Let m be (1\/(-7))\/((-90)\/p). Is m equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (13 - 3) - 3) + (-2 - 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-16)\/(-168)*-7)*(-1)\/(-18)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(39)\/(sqrt(3)*2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:36 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 38*k + 132 = 0. Let n = 69\/8 + -939\/56. What is the common denominator of 68\/(-20) + (0 - k) and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4482117 and 5478143?\nAnswer: 49303287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:20 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54145*n + 54187*n - 108326*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 203533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 361876561 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z - 16*z + 5 + 58*z - 15*z - 12*z. Calculate a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33\/1220 + 4517\/13420. Let s = 0.1 + -0.2. What is the closest to s in 0.4, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56 - -8)\/(-3)*(-254)\/(-4). Calculate the common denominator of (c\/(-42) + 2\/(-14))\/1 and -32\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(6))\/sqrt(2))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46449\/10 + 4639. Let x = z + 443\/70. What is the third smallest value in 15, x, -0.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(1900) - -5*(0 + sqrt(1900) + sqrt(1900)))*-6 - (2 + sqrt(1900) + 3 + sqrt(1900) + sqrt(1900) - (3*sqrt(1900) + -4 + sqrt(1900))))**2.\nAnswer: 12780*sqrt(19) + 9577981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465.\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1*(-4)\/(-12)). Let g(p) = 10*p**2 - p + 15. Let y(m) = -30*m**2 + 2*m - 47. Let h(t) = z*y(t) + 8*g(t). Find the second derivative of h(d) wrt d.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 69*j**2 + 3*j - 59*j**2 + 91.\nAnswer: -128*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -10*f**3\/3 + 12*f - 6. What is the derivative of s(g) wrt g?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**5 - 3638*t**4 - 146616*t**3 = 0. What is t?\nAnswer: -149\/4, 0, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 3. Let u be n(-5). Is -6\/5 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + 2)*1\/(-3). Suppose -a + 3 + s = 0. Solve -c - 5*q + 3 = -a, -4*q + 12 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33088 and 22272?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5236*m + 5209*m. Let l(v) = -4*v**2 + 8*v + 5. Let n(f) = -f**2 + f + 1. What is m*l(o) - 5*n(o)?\nAnswer: o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 50. Calculate the remainder when 215 is divided by o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91) - (sqrt(91) + (-2*1*sqrt(91) - sqrt(91))) - sqrt(91)) + sqrt(91)))\/(sqrt(28)\/sqrt(16)*-4).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 x, and 1 w when four letters picked without replacement from cxwrwrwwjxcchjjjcccc.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244678622?\nAnswer: 2, 89, 109, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6555404um in kilometers?\nAnswer: 0.0000000006555404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from bvxcnncbcnbbxbbc.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/64 or -403\/3?\nAnswer: -403\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = l - 4*m, 2*l - m + 21 = 0. Let z = l - -17. Solve -z*a = -9 - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210736 is divided by 463.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*c + 18 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3012005135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 24. Let j = 17 - x. Calculate the lowest common multiple of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 - 85*t**2 - 264*t + 887. Calculate j(20).\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*m**2 - 1044\/7 + 1042\/7*m.\nAnswer: 2*(m - 1)*(m + 522)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -36*((-12)\/8 - -2). Calculate the highest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*b - 502 - 1276 = 1945 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28947619*x**5 - 51385349*x.\nAnswer: 578952380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/6 - 4*f**2\/3 + 10*f\/3 - 8\/3 = 0. Calculate f.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4644916, -18579660, -41804232, -74318632, -116122860, -167216916, -227600800?\n\"Answer: -4644914*x**2 - 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 117 = 27. Suppose 27*p = 21*p + h. Suppose -g + 5*s = -2305 - 4478, -2*g = p*s - 13614. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*l - 303 + 103 + 98 + 101.\nAnswer: 413*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128562678 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267.675 - -212.71. Let a = j + 55. Let p = a - -0.465. Round p to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630683 take away 0.029?\nAnswer: 630682.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 7*u**3 - 3*u**2 + 1715*u**4 - 3*u**2 - 1707*u**4.\nAnswer: u**2*(u + 1)*(8*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v - 3*i + 5, 9 = 3*v + 2*i. Solve 4*p = v + 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (105 - 104) + (-4 + 12 + -6 - 50)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 71549*k - 1860950.\nAnswer: (k - 71575)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 5. Let c(a) be the third derivative of -a**3\/6 + 42*a**2. What is -5*c(d) + v(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -1\/120*k**6 + 33*k**2 - 1\/30*k**5 + 0*k + 0*k**3 + 1\/24*k**4 + 0. Give i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 35988 = -53948. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18*i**2 + 152070 - 6*i - 152071 + 6*i. Let l(a) = -19*a. Determine c(l(n)).\nAnswer: 6498*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q + 70. Let c be d(0). Let z be 12\/(-2)*((-775)\/c - -11). Solve z*x**4 + 39\/7*x**2 + 12\/7 + 36\/7*x + 18\/7*x**3 = 0 for x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1236*o**2 - 13*o + 48592 wrt o?\nAnswer: 2472*o - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 15 - 8) + -3 - (-4 + -6 - -91).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s. Suppose s = 10*u + 9 - 29. Let t(j) = -u*j + 6*j + 4*j - 5*j - 4. Determine t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 0 + 72\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 135892281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b98 (base 12) in base 3?\nAnswer: 100102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3462836 and 3.2.\nAnswer: 11081075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**6\/1620 - f**5\/540 + 4*f**3\/3 - 3. Let a(s) be the third derivative of u(s). Determine h, given that a(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558896, -558897, -558898, -558899?\nAnswer: -558900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87, -77, -55, -15, 49, 143, 273?\n\"Answer: z**3 + 3*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/g**(-1\/35)*g\/(g**3\/g))\/(g**18)**(2\/37) assuming g is positive.\nAnswer: g**(2662\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = 3*s + 2*k, s - 5*k = 20. Suppose 4*q - 3*m - 9 - s = 0, 2*q = 5*m. Let j = 62 + -42. What is the highest common divisor of j and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6\/720 - q**5\/20 + 35*q**4\/12 - 17*q. Let v(r) be the third derivative of x(r). Determine v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -20*t + 67. Let n be z(18). Which is smaller: -292 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*((sqrt(2299) - (sqrt(2299)*1 - sqrt(2299) - sqrt(2299) - sqrt(2299)))*-5 + sqrt(2299))*-6)**2.\nAnswer: -3696*sqrt(19) + 64886977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 4*s**2 + 2 - 3 + s**2 + 0*s**2 to the form m + z*s**2 + h*s**3 + y*s and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -22. Suppose -2*k + 31 - l = 0. Let b be 2\/5 - (-24)\/15. Calculate the highest common factor of b and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117, 99, 93, 105, 141, 207?\n\"Answer: r**3 - 25*r + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/177 != 75.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ac3 (base 14) in base 5?\nAnswer: 32011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*p + 112 = 188*p - 3*s, 2*p + 12 = 5*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -59*n**3 + 15*n**2 - 282*n + 3833. Let c(a) = -7*a**3 + 2*a**2 + 1. Let b(o) = -8*c(o) + g(o). Differentiate b(u) with respect to u.\nAnswer: -9*u**2 - 2*u - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -0.093.\nAnswer: -6.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178802934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 3. Let x be j(-5). Let o(p) = p**2 + 7*p - 7. Let v be o(x). Which is smaller: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1371*q + 159. What is the tens digit of f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 4*c - 3*i = -5*c + 10, -5*c - 11*i = 56 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (51\/(-6))\/((-2)\/4). Suppose -k + w = -135. Suppose 2*r + 2*r = k. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 57) + 7 + -1 + (1 - 6) + 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from vvuhvvuvguhvvvvuug.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 10. Let v be p(8). Let z be 25\/(-2)*12\/v. Let r be 5\/(-8)*10\/z. Sort 2\/21, r, -3 in descending order.\nAnswer: r, 2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.4 and 40679.1.\nAnswer: -219667.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = h. Let c(z) = z**2 - 3*z + 3. Let x be 3 - 5 - (-4 - 0). Let p be c(x). Let j(q) = -q. Let y(k) = -8*k - 1. What is h*j(u) + p*y(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255 + -226.2. Round b to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/15*6*(-30)\/(-1224). What is the third smallest value in i, 7, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 6*q**4 - q - 4*q**2 + 2\/3*q**3 - 14. List the prime factors of n(2).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359 = -3*w - 4*y - 1327 + 2603, -w + 2*w = y - 23 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/(-7) + -2 - 5754\/980 and 6\/30*625\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5141493*d**2 - 6364993*d.\nAnswer: -10282986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, w: 7}. What is prob of sequence wwp?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(-3*g - 713 + g + 820) in the form n + a*g and give n.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let j(u) be the first derivative of 3*u**2\/2 - 7. Give g(j(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2647\/11 - 241. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15 = -2*o. Suppose -o*n = 5*k + 35, n + k = -2*n - 17. Let w(v) = -v + 4. What is the units digit of w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 + f**3 + 2*f**3 + 94 as u*f**2 + l*f + r + q*f**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 39*q**2 - 7*q - 43. Is k(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 38 (b) 472 (c) -1\/4 (d) 0.4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 9:02 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*s**3 - 8 wrt s?\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348476 is divided by 132.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6720 - -4359. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-24.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - g = -48, 3*k + 3*g = 2*k + 1. Let m = -10 + k. Solve -4*d = -n - 0*d + 4, m*d = 4*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 3*q + 5. Let d be w(2). What is the second smallest value in d, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*z - 23*z + 5*m + 35, -z + 5*m + 10 = 0. Which is the smallest value? (a) 14 (b) z (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-201)\/134)\/(3*4))\/(6\/40)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/183600 and 143\/45900?\nAnswer: 183600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 + n**3 + 5*n**2 + 2*n**2 - 7*n + 11 - 3*n**3. Let t be x(-8). Differentiate -t*h**2 + 7*h - 7*h - 1 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265075 is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1726, -6790, -15196, -26944, -42034?\n\"Answer: -1671*o**2 - 51*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:14 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -238691500 rounded to the nearest one hundred thousand?\nAnswer: -238700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 33, 1496, -3 in descending order.\nAnswer: 1496, 33, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 38, 55, 68, 71?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-387)\/(-135) + -3 - 76\/330. Which is the nearest to 1\/4? (a) -0.3 (b) -2\/11 (c) j (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9. Suppose 2*z + 5*o + 5 = -18, 5*o + 25 = v. Let x(l) = l - 2. Calculate the remainder when z is divided by x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3313 - 102?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/24 + 7*g**2. Suppose 3*d = 4*d. Let c(h) = -h + 4*h + d*h. Determine c(p(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 39*d**2 - 84*d + 82. Suppose 0 = 2*k - 2*u - 70, 46*u - 47*u + 416 = 10*k. Calculate p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471280215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 43*v**2 - v + 4. Let o be c(-4). Suppose 1571 - 1531 = 20*t. Suppose -347 = -t*i - 3*k, -o = -4*i - 0*k - 4*k. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w - 2*w + 2*w)*(w - 4*w + 0*w) + w - 2*w**2 + 5*w**2 + w - 42*w**2 + 7*w**2 + 8*w**2 in the form z*w + i + u*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -4 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.6, -2\/19, -32?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6105)\/1628*(-4)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40993 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*f = 25*f - 572 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3646*u**2 - 74*u + 403. Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125657 (base 8) to base 14.\nAnswer: 12035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3216824642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414441 + -113?\nAnswer: 414323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-16)\/k*k*k**(-8))\/(k**(2\/57)*k*k**(1\/15)*k) assuming k is positive.\nAnswer: k**(-7439\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbllbll. Give prob of sequence bbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(3*j - 2*j + 0*j)*(0 + 3 + 1)*(-1 - 2 + 1)*(5 - 515 + 206).\nAnswer: -2432*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -1.815497162041?\nAnswer: -1.615497162041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j = -48*j + 93*j. Suppose j = 14*c - 159 - 79. Suppose -16 = 4*a, 2*l - 3*a - 182 = -3*l. What is the highest common divisor of l and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {n: 3, g: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111395 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 424, -3, -5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 30 + 64 - 34.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25443 - 12002. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -0.1, -2, 3\/10, 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let q be 1 + -2 - -1 - l. Let c(w) be the first derivative of -w**4\/4 - w**3\/3 - w**2\/2 + 12*w + 10054. Calculate c(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 15, -4, -35, -78?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -15*i + 552. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + 13. Differentiate 20*d**4 - 7*d**4 + p - 43 with respect to d.\nAnswer: 52*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -986, -1916, -2804, -3650?\n\"Answer: 21*s**2 - 993*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218018 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -1630.6?\nAnswer: -97.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 3*z**2 - 2*z - 4. Let b = -78 + 74. What is k(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*24\/128*5\/50.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8713237.07332 - 8713086. Let o = -151.1 + d. Let w = -0.02 - o. What is w rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:24 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/((-3)\/(-180)*-6). Is 48 a factor of (-2)\/c + (-45144)\/(-120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -462 - 26916?\nAnswer: -27378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 804*c**3 - 40*c**2 - 8*c - 8. Let a(r) = 536*r**3 - 27*r**2 - 5*r - 5. Let f(g) = 8*a(g) - 5*j(g). Find the third derivative of f(s) wrt s.\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 10. Let z = t + 3.5. Let m = z - -0.7. Round m to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 5124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 74240*t + 296951. Give q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 5*p + 8, 0 = -o + 5*p - 13. Suppose 11959 = -o*q - 13031. What is q rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 26 (c) -93 (d) -0.4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36090983 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 7. Let g = 99 + -98. Calculate the lowest common multiple of m(5) and 0 + (10*g)\/(3\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - -21. Let o = 27 - h. Let k = 15 + -10. Which is the third biggest value? (a) -1\/3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 698310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 142? (a) 0.3 (b) 4.66 (c) -2\/19 (d) 2\/9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 16425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-1 - -3) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4688 + 1551722\/331. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**2 + 71*p - 16. Let q be j(-8). Solve q = 7*h + 70 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -71*y + 2. Suppose -4*u - 3*a - 10 = 0, -4*u = -0*u - 4*a - 4. What is the units digit of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m + 2. Let a(r) = 6*r - 95. Give -a(v) + 2*y(v).\nAnswer: 8*v + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-100)*(-2 + 1). Let p = 0.1 - 0.1. Let x = 413 - 414. What is the closest to p in m, 5, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000671342 to 7 decimal places.\nAnswer: 0.0000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 56. Let m = -58.00061 + k. Round m to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2 + (90\/10)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7650488.9 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, a: 4, c: 4, f: 1, h: 7}. Give prob of sequence ycc.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 94. Let m = 63 + u. Solve i - 2*i - 3 = -4*x, i - x - 3 = m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004861 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27005?\nAnswer: 5, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4 - 1 + 0 - m. Let i be v(-4). Let t be (-2)\/(-2)*(1 + -4)*1. Sort 3, i, t in ascending order.\nAnswer: t, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:40 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 240 = 7*w - 232, n = -2*w - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*n**2*u**2 - 15*d*n**2 + 387*d - 4*n**2*u + 188*n**2 - 5*n*u**2 wrt d?\nAnswer: 2*n**2*u**2 - 15*n**2 + 387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/7? (a) -1\/3 (b) 0.045 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23941.\nAnswer: 89, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b2 + 5?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - -2023433302?\nAnswer: 2023433112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 896*a + 261635. Determine s(-292).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -167. Suppose -4*s - 4*s = -176. What is the highest common divisor of s and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0*u + 4*u + 38*l - 444 = 0, 76*u - 71*u + 5*l - 40 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -62\/6785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001101120 (base 3) to base 15.\nAnswer: -be70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56159 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqo when three letters picked without replacement from crosqci.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, 4, 1, -4.\nAnswer: -16, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/486 and 143\/270?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 + 17*x + 11. Determine g(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 830, 835, 838, 839, 838, 835, 830?\n\"Answer: -t**2 + 8*t + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-7))\/((-4)\/18). Let i(w) = -w**2 + 9*w - 1. Let z be i(r). Suppose 6*s = 18 + 12. Sort z, 3, s in decreasing order.\nAnswer: s, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d - 66. Let w be 130\/(-18) + (-54)\/(-243). Does 2 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071962 to 4 dps.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*z = 4908, 807 = 2*f + z - 1650. What is the least common multiple of 22 and f?\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Solve 6 - 18 = r*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/3802565 and -25\/1976?\nAnswer: 30420520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 17*c**2 - 4*c + 27. Let s be l(-11). Suppose -s = -u + 692. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11765162369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.354 + 4.\nAnswer: 1.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2652.87 + -2653. Which is the third biggest value? (a) -0.4 (b) -4 (c) o (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (-1 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14*a. Let x(r) = r**2 - 11*r + 12. Let t be x(10). What are the prime factors of q(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 16 + 8*r**2 + 19*r - r - 9*r. Let k be b(4). Calculate the highest common divisor of 450 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/195*-13)\/((714\/(-72))\/(-7)).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -64, -97, -154, -241, -364?\n\"Answer: -o**3 - 3*o**2 + o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 10. Let d(s) = 8*s - 12. Let n(h) = -5*d(h) - 6*g(h). Let r(m) be the second derivative of 1\/4*m**4 + 0*m**3 + 0 + 0*m**2 + 2*m. Give n(r(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -427, -850, -1273, -1696?\n\"Answer: -423*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9386179.4 to the nearest one thousand.\nAnswer: -9386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/7 - 31887*b + 446430\/7.\nAnswer: -3*(b - 2)*(b + 74405)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqqqqoqooqpghq. What is prob of sequence ooo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20850\/1351 + 3144\/193. Factor d*j + 1\/7*j**2 - 27\/7.\nAnswer: (j - 3)*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2 - 3*q**2 + 2*q**2 + 10*q - 2. Let a be w(9). Suppose -a*p + 88 = 5*f - 47, 4*p + 153 = 5*f. Calculate the highest common divisor of f and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 18861887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/56 and -11\/1128.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2628 and 5913?\nAnswer: 23652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 74*f\/3.\nAnswer: f*(f - 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x = -53*x. Suppose 97*y - 96*y - 241 = x. What are the prime factors of y?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.256 - 0.06\nAnswer: 40.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*b - 310*b = 233*b - 4956 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:56 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 - 4*w**2 - 2007 + 2055 - 14*w. Let g be u(11). Solve -2*s - g = -7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1888, -7508, -16864, -29956, -46784, -67348, -91648?\n\"Answer: -1868*h**2 - 16*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*c - 12 = -2*c, 0 = a + c + 3. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 14*j - 5. What is the least common multiple of v(-6) and 1\/(-4) + (-4)\/32*-82?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 5*g**4 + g**4)*(-1 - g + 1 + (0*g - g + 0*g)*(2 + 3 - 3) - 1 - 2*g + 1 + (3 - 5 + 1)*(-4*g + 3*g + 0*g)).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -417 - -422. Let q = 27\/8 - 49\/24. Which is the second smallest value? (a) q (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r - 16. Let s be h(3). Solve s*l = 11*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/49 (b) 4 (c) 10 (d) 0.08 (e) -4 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-117)*19\/(-38)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29862654, 119450607, 268763862, 477802419, 746566278, 1075055439?\n\"Answer: 29862651*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 895137.41.\nAnswer: -358054.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (2 + 1*sqrt(117) + sqrt(117)))**2 + sqrt(117).\nAnswer: 15*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 8 = 9*l - 5*l, 8 = -3*l + 4*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 240432337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/2 (b) 0 (c) 3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7 + 4960\/1085.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298198, -596394, -894592, -1192792, -1490994, -1789198?\nAnswer: -2087404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10181\/234 - 588\/13. Let q = 80\/19 + -97\/190. What is the common denominator of q and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a4a (base 14) to base 13.\nAnswer: -4891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8462662*o**4 + o**3 - 2364539.\nAnswer: 33850648*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7610818um in nanometers?\nAnswer: 761.0818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158542*h**2 - 1452030*h**2 + 616503*h**2.\nAnswer: -1994069*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 34537650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8208 is divided by 390?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**3\/7 - 9*f**2\/14 - 6*f\/7 - 2. Suppose l(y) = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 2*f**3 + 0*f**3)*(-63 + 24*f**2 + 63) + (2*f**2 - 10 + 10)*(-2*f**3 + 3*f - 3*f).\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 193. Suppose 3*w = -w + g. Let l = 865 + -786. What is the remainder when l is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - x - 39*x. Let k be h(-1). Is 2 + -2 + -2 + k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115850 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*g*u**2 + c*g*u + 223*c*u**3 + 13*g*u**3 with respect to g.\nAnswer: -c*u**2 + c*u + 13*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjm. What is prob of sequence jmj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -25. What is the nearest to 1\/6 in h, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/10 + 347*s\/10 + 35352\/5 = 0.\nAnswer: -144, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/153 (b) -0.3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/5 - 2644*p**2\/5 - 2120*p - 10608\/5 = 0. Calculate p.\nAnswer: -2, 1326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, c: 11}. Give prob of sequence ccct.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 + 0.4. Let j = -26.8 - -26.967. Let s = j - k. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3142871*i**3 + 12611*i**2 - 2*i - 32 wrt i.\nAnswer: 18857226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/177*-14*(-51)\/(-119)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*n + 4*n + y, -n = -2*y + 10. Which is the third biggest value? (a) -2\/7 (b) 4 (c) -1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221*t**3*v**3 + 2091*t**3 - 180433*v**3 wrt t.\nAnswer: 663*t**2*v**3 + 6273*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:01 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274115?\nAnswer: 5, 73, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4 = -4*j, -5*j + 18*k - 13*k + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/(-34) + 37 + 93)*((-3)\/(-3) - 2)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7261*y**4 - 105*y - 14 wrt y.\nAnswer: -87132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + 0.2. Let w = q + -3.5000006. What is w rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 38*n + 175 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5 + 13*j**4 - 150*j**3 - 184*j**2 + 320*j = 0.\nAnswer: -20, -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x + 4. Let d be (8\/(-10))\/(x\/(-10)). Is (-331)\/(-7) - d\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -27, -1\/9, -0.5, 30, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.6\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0984 + -491.9016. Let k = 426 + g. What is the biggest value in k, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*w**2 - 1462*w**3 + 754*w**3 + 505*w**2 - 1005*w**2 + 719*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -21, -36, -53, -72, -93?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -23*o + 28*o, -3*p - 1 = -4*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/11 and -55\/3273.\nAnswer: 36003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.110703 or -0.1?\nAnswer: 0.110703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2) + 0 - sqrt(704)*1) + 1.\nAnswer: -7*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 13*l - 14. Let n be b(-12). Let f be n\/(-3) + (-4148)\/18. Let j = -230 - f. What is the third smallest value in j, 3, 4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507082 is divided by 1198.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 114. Let g = u + -21. Calculate the remainder when 102 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7*d - 1 - 2 - 1 + 4.\nAnswer: -7*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*v - 35 = -5*v, 3*v - 19 = -s. Suppose 20 = s*d + d. Factor 0*t**2 + 2\/7*t**5 + 0*t + 0 - 2\/7*t**d + 0*t**3.\nAnswer: 2*t**4*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzzsszsxxznznzszzx. What is prob of sequence zs?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166\/(-249))\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76640 + 161427. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -7, -5.\nAnswer: -7, -5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1376 - -8245. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.5847029 and -40?\nAnswer: 143.388116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 2*w, -8*h + 5*h = w + 9. Solve -m + 4 - 1 = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-7))\/((-222)\/(-703)) and 37\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1036 - -1038. Solve -j + t = 2*j - 17, t + 13 = a*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10059866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*v = -6*v - 14, 2 = -5*g + 2*v. Calculate the remainder when 45 is divided by (g + 5)\/((-2)\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*f = 12, 0 = n - 17*f + 14*f - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*u + 6 = -5*k - 125*u - 38, 5*k + 14 = 13*u for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1700892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98353.\nAnswer: 59, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.147, 7\/113, -1\/304 in ascending order.\nAnswer: -0.147, -1\/304, 7\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 + 7*a - 21. Let h(t) = 5*t**2 + 4*t - 12. Let p(m) = -7*h(m) + 4*v(m). Let y(r) = -2012*r. Determine p(y(i)).\nAnswer: 4048144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. What is the remainder when 9 is divided by (0 - z)*3\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248377758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 462?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 18*l - 22. Let d(w) = -w**3 + 5*w**2 + 7*w + 2. Let c be d(6). What are the prime factors of x(c)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8437490669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from bbibzbqbo.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26750 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722879 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6810.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x. Let z(d) be the second derivative of d**4 + 184*d - 360*d + 132*d. Determine z(h(t)).\nAnswer: 4800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 1. Suppose -17*y + m + 232 = -15*y, -4*m - 226 = -2*y. Calculate the highest common factor of x and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76724136 divided by 19181034\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207\/91 - 17\/7. Let y = -43.6 + 44. What is the smallest value in y, 1\/4, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1401 = 146*v - 963 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-15)\/6)*3\/9. Let c = 0.01 - 0.07. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 63*y - 6. Let i(l) = 52*l**2 - 2*l - 2. Let d be i(-1). Let r = d + -48. Let a be n(r). What is a rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 n, and 1 m when four letters picked without replacement from {n: 1, k: 4, i: 2, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 3. Let o(a) = -4*a - 14. Let s(f) = f**3 + 5*f**2 - 8*f + 2. Let m be s(-6). Let c(t) = m*u(t) + 3*o(t). What is the units digit of c(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095701645 is divided by 2346.\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -5 (c) 69 (d) -118 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 141380*h - 5796571. What is k(41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -q + 12, 3*q - 4 = -2*q - 4*p. What is the common denominator of 20\/13 and 79*(q - (-123)\/(-30))?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975700999 to the power of 1\/3, to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014908 rounded to 5 dps?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 132*o - 6152. Determine i(45).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2 and -23\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjuqjuqjujqjjj. Give prob of picking 1 j and 2 u.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 48 = -528. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -3*p**4\/7 - 10*p**3\/21 + 8*p**2\/7 - 9*p + 1. Factor s(q).\nAnswer: -4*(q + 1)*(9*q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 9\/2*k**2 + 5\/24*k**4 - 1\/3*k**3 + 0 + 1\/60*k**5 - 28*k. Let s(p) be the first derivative of o(p). Calculate s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823 greater than or equal to 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 69*o - 3. Let u be v(2). What is the highest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2349\/17020 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3221353 and -42254909.\nAnswer: -45476262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = -5*u + 8, -5*v = 3*u - 1. Suppose -4*t + 355 = -5*f + 98, u*t = -5*f + 91. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7352441 (base 8) to base 7.\nAnswer: 22422005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 37611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -10. Let q(a) = -18*a - 19. Let w(p) = 16*p + 19. Let c(j) = -3*q(j) - 4*w(j). Is c(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = -r, 0*r - 2*w = 3*r - 39. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-2*v - 1 + 1)*(-39*v**2 - 53*v**2 - 7*v**2).\nAnswer: 198*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.088236963 to 3 dps.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvfdibdfivih. Give prob of sequence vi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.2\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -254*s**2 - 1174 with respect to s.\nAnswer: -508*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/14800 and -51\/645280.\nAnswer: 3226400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65279725 divided by -490825.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*m + 32, 8 = r - 0*r - 4*m. Let l(y) = -11*y - 11. Let b(v) = 4*v + 4. Let s(x) = r*b(x) + 3*l(x). Let i(h) = -4*h - 3. What is 2*i(f) - 6*s(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrzzrrzzzzrzz. Give prob of picking 4 z.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -10 (c) -1\/11 (d) 5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058996 rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 39*z**2 + 125*z + 42. What are the prime factors of g(-35)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (86\/(-1548))\/((-8)\/(-9) + -2). Let j = 4\/3 - 8\/9. What is the second biggest value in j, 2, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -2\/101, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -400*a**6 + 4*a**4 - 22*a**3 - 1242*a**2 - 108*a - 2 wrt a?\nAnswer: -48000*a**3 + 96*a - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*w = 61, 4*o - o + 5*w = 89. Let j be (-6)\/4*-5*o\/735. What is the closest to j in -5, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**7\/147 - 2*b**6\/105 - b**5\/70 - 22*b. Factor z(t).\nAnswer: -2*t**3*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7708227 millilitres?\nAnswer: 0.0007708227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**3 - 21*q**2 - 60*q - 45. Let y(b) = b**2 - 4*b - 1. Let r(s) = w(s) + 6*y(s). Factor r(j).\nAnswer: 3*(j + 1)**2*(6*j - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**3 + 25*b**3 + 51*b**3.\nAnswer: 98*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(86\/(-50))\/(2284\/(-11420))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2311790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 15aa171?\nAnswer: -15aa169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 2*b - 2*b)*((3 - 6 + 2)*(2 - 2 + b) - 2*b + 2*b + 2*b)*(-9*b + b + 6*b) as g*b**2 + w*b + u*b**3 + n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(891) + sqrt(11) + -4*(sqrt(11) + sqrt(99)))**2.\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3762356 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biyy when four letters picked without replacement from {y: 2, s: 6, d: 2, b: 1, i: 1}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 10*h**2 - 75 - 6*h + 17*h.\nAnswer: 10*h**2 + 6*h - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 191*b - 194*b + 5*n, 5*b - 50 = 5*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/10 + (-2)\/(-5). Let a be 806\/3 - 2\/i. Let r = a - 189. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/2))**(4\/3)\/(d**(3\/14))**(-39) assuming d is positive.\nAnswer: d**(201\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 508, 273, -56, -479?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9214 to 1 dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -39. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/15)\/((-2)\/(-30)). Suppose -5*x - 2*d + 182 = 0, -g*d + 4*d = x - 34. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121413000 to the nearest one million.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131585 - -131597. Suppose -3*l + 5*l - 62 = 0. Suppose -l = 5*j - 6, 4*j + 52 = f. What is the smallest common multiple of h and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18\/11, 82, 31419\/5?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -1) + 147 + -6. Let o = i - 118. Solve o*x = 25*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z - 2. Let b(d) = 5*d**3 + 11*d**2 - 26*d + 4. Determine -b(l) - 6*f(l).\nAnswer: -5*l**3 - 5*l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -111010101?\nAnswer: 111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5834.\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 15*q**2 + 8*q - 162. Calculate j(15).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 163*h = -164*h + 34, -2*d + 5*h = -46. Let q = 10 - 4. What is the highest common factor of d and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3443 - 3431. What is the greatest common factor of g and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + v - 4 + 0 - 10 + 15 + 22*v**4 in the form a*v**3 + j*v**2 + r*v**4 + p*v + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143926 is divided by 142967.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174583.7 - 174583.6119939. Let a = w + -0.088. What is a rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39529920 and 2592.\nAnswer: 1067307840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 4. Let f(j) = 5*j + 9. Let a(o) = 4*f(o) - 7*x(o). Let y be a(13). What are the prime factors of ((y + 35)\/(-6))\/((-1)\/4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3612674 is divided by 319.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48047968 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-692)\/1730*-15*2\/16)\/((-63)\/(-816)).\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19))**2*-1 + 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. Let p(i) = 14*i**2 - 7*i + 24. Let y(l) = -29*l**2 + 16*l - 54. Let u(d) = 9*p(d) + 4*y(d). What is b(u(a))?\nAnswer: -20*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 10*c**2 + 6*c - 25. Let v(i) = i**3 - 2*i**2 - i + 5. Let z(q) = 2*r(q) + 11*v(q). Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2839*p**4 - 473*p + 1336*p - 4050*p**4 wrt p?\nAnswer: -14532*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + -1 - ((4 - -2) + (-41 - -23))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -400 - -844. Suppose -5*j - v = -3*g - 0*j, 0 = 4*g + j - 569. Is g - -5 - (-2 + 6) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51077927 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6175 is divided by 1190?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 63*s + 70. Let o = -51 + 124. What is the remainder when o is divided by y(-15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-802*m**2 - 20 + 800*m**2 + 66)*(-5*m + 2*m + 0*m).\nAnswer: 6*m**3 - 138*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22 + d - 12 + 24*d**3 + d + 4*d**4 - 5*d**4 wrt d?\nAnswer: -12*d**2 + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.05 (b) 103 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5237 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246631?\nAnswer: 7, 11, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-9)*2\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50a1 (base 11) to base 15.\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*y = -7*h, 26 = -2*h - 5*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*y + 10, 4*d = -3*y - 3. Solve 16 = 5*m - 3*c, 0 = 2*m + d*c - 1 + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9.2, -1, 0.2, -0.3, -35\/61, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13269919 by -23.\nAnswer: -576953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 9*f**2 - 10*f - 6. Let z be s(-8). Suppose -5 + z = 5*v. Solve 6 - v = 5*j + 5*g, -3*j + 13 = 5*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 651 divide 159807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/10)\/((-222)\/370))\/(14\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -33. Let h = 118\/3 + n. Let d = -1 + 2. Does d = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -3. Calculate the remainder when o is divided by (-3)\/((-27)\/102) + (-1)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = 4*o - 9, 20 = -5*o + 5*s. Suppose c - 218 = -43. Suppose o*a + c = 5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:49 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**7\/42 - 113*z**4\/12 - 466*z**3\/3 - z**2\/2 + 3315*z. Find the second derivative of y(p) wrt p.\nAnswer: -20*p**3 - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-10 + -8) - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-3*k + 2*k - k) - 8*k - 65*k - 10*k + 0*k + k + 2*k + 1 - 1 + k + (-4 + 6 - 4)*(k + 3*k - 3*k) + 3*k - 4*k + 0*k - 2*k + 2 - 2 + 4 - 4 - k.\nAnswer: -81*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1215484, 1215482, 1215480, 1215478, 1215476?\n\"Answer: -2*y + 1215486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*o**2 + 2*o**3 + 144*o**2)*(13 - 3 + 10).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - (-64 - 0)) + 63.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {s: 3, i: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*sqrt(132))\/sqrt(11) - (sqrt(12) - sqrt(540)\/sqrt(5)))\/(sqrt(576) - (sqrt(576) + (sqrt(576) - -5*5*sqrt(576)))).\nAnswer: -5*sqrt(3)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93289 - -983728. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 986 and 16?\nAnswer: 7888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 52 = -3*j - 10, -3*r - 2*j = -43. Suppose -r*d - 61 = 59. Let k = 16 + -16.1. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from cynyjnjnyjmcnxcjymmc.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 6*a - 3*a - 145, 2 = -x. Suppose 5*k - 45 = -4*n, -4*k + n + a = k. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4)**(-3\/10))**(-41) assuming f is positive.\nAnswer: f**(246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8928 and 310?\nAnswer: 44640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.76 + -0.24. Let l = 13 + r. Let h = -4.9994 - l. Round h to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*g + 29. Let n be (g + 6)\/(1\/87) + -3. What is the greatest common divisor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -o + 16, -4*b - 8 = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -35*y. Let u be ((-6)\/4*1)\/((-3)\/50). Let x(i) = -27*i**2 + 4 + u*i**2 - 4. Determine x(q(t)).\nAnswer: -2450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -5 in increasing order.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4546 and 2.\nAnswer: -9092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 4 (c) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(9\/5)\/v*v*v*v**(1\/6))**8)**4 assuming v is positive.\nAnswer: v**(1424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 18*b + 10*b + 157 - 245.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -9227057?\nAnswer: -9227057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74664*y - 74756*y + 566 = -906 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2546859847.\nAnswer: 7, 2039, 178439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -3*c + 8, o + 30 = 4*c. Let z = 23 - c. Let j(d) = -3*d + 18. Let l be j(-9). What is the greatest common factor of l and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w = -4*x + 27*w - 57, w = 4*x + 19 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*h = -6*i - 6, 3*h = 4*i - 17. Solve i*v = -1 - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (10 - 0)*(1 + 1 - -33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 99?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0223? (a) -1.9 (b) -4\/23 (c) 0.085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791269?\nAnswer: 3, 13, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u - 2. Let o be (-34)\/(-8) - 1\/4. Let n be (-30)\/o - (-4)\/(-8). Let w be r(n). Sort -5, w, -4 in ascending order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-32)*(9450\/(-45))\/21*(-8)\/(-120)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-8 + -8) - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56203383 to the nearest integer?\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/135 in 3, 0, -0.5, -683?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*c + 612 = -31*c. What is the lowest common multiple of 21 and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(56\/48)*3\/(-15).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*v - 4, -2*v = d - 11456. List the prime factors of d.\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) -1.7 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -328598 (base 13) to base 16\nAnswer: -1226ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.011462*0.4.\nAnswer: 0.8045848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 271. Calculate j(64).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9671, -9658, -9643, -9626, -9607?\nAnswer: -9586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32.7914 and -4?\nAnswer: -131.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10) + 3\/120*4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683147 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a + 68. What is the tens digit of (-4)\/a - (-280)\/(-68) - -235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:18 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s - 8*s - 46*s - 31*s.\nAnswer: -108*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 842 + -484. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4305 (base 10) to base 15\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5647 - -9076. Let a = x + -8334. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 378*h - 5 + 3.\nAnswer: 378*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 - (-3)\/4). Suppose q*p + n - 65 = 0, -p = 4*n - 0*n - 35. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 8. Let y be x(8). Put 0, -3, 4, y in ascending order.\nAnswer: y, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Let m = 0.1299 + -6.2599. Let g = m + 1.13. What is the smallest value in g, -3, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82, 77, 72, 67, 62?\n\"Answer: -5*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 5*n + 4*n)*(4 - 4 + 2) - 4*n - 2*n + 3*n + 7 + 8*n + 8*n - 18*n.\nAnswer: -9*n + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 16*y - 2040 = 0. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 813*g**2 + 184782*g - 185592.\nAnswer: -3*(g - 418)*(g - 1)*(g + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*r + 3*r + 4*s + 5 + 3, 0 = -4*r - 4*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-k + 4 - 4) + (3 + 1 + 0)*(3*k - 4*k + 4*k) - 463*k + 739*k - 988*k.\nAnswer: -701*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.4, 0.5, -0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -78.84+-861\nAnswer: -939.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((-11 - -11) + (0 - -42))) + 9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*u = -4*t + 536*u - 20, 3*u - 33 = 3*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k - 3556 = 2360 + 1164. What is the remainder when (59\/(-2))\/(2\/(-8)) is divided by k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Let a be 0\/s - (0 - 3). Solve q = a*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 - 2*l**2)*(-18*l - 15*l + 11*l) - 4*l**3 - 4 + 4 + (-5 + 5 + l)*(-2*l**2 - l**2 + 2*l**2) + 0*l**3 + 2*l**3 - 3*l**3.\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9)*2\/(-8). Which is the second smallest value? (a) 0.3 (b) m (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/18)\/(8\/12). Let f be ((-135)\/(-6))\/9*(u - 5). Let q be (-118)\/(-8) - (-4)\/16. Which is the third smallest value? (a) f (b) -3\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-27) - 30800\/(-1800).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-63)\/18 - (-3 + -1). Let g = 0.9 - 1.3. What is the smallest value in -2, x, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-13) + ((-136755)\/39)\/(-3).\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -6, 2\/21, 6, 8\/7, -5, -4, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4296924619.\nAnswer: 13, 2971, 111253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*(-1291 + -2)\/3)\/((-2)\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -496 + 498.09. Let d = p - 2.09089. What is d rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1132 - -1637. Suppose -49 + t = 2*u. Let h = u - 146. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y + 28*y - 10*y - 100*y**2 - 2.\nAnswer: -100*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*u = -27, n + 5*u + 16 = -1. Suppose -3*q + 17 = 2*h, 5*q - 2*q = 3. Let r = n + h. Solve -3*l - 15 = r, 1 + 3 = -2*x - 2*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76563, 76678, 76793?\n\"Answer: 115*t + 76448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135523426.\nAnswer: 2, 67761713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a - 2. Let w(d) = 9*d + 3. Let u = 0 - -7. Let m be ((-650)\/(-715))\/((-2)\/(-11)). What is m*w(v) + u*i(v)?\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0*j**2 - j**2)*(11*j**2 - 13*j**2 - 2 - 7) - 102 + 102 - 8*j**4.\nAnswer: -10*j**4 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/12*(-194)\/6305*3\/((-3)\/(-2))?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-35)\/(-210)*(-6)\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 928 + 1.1\nAnswer: 929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 5, p: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 8 + 16)*(-3 - 4 + 6)*(2*y + 2*y - 2*y) as g*y + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 21*l**2 - 40*l - 54. Calculate the remainder when 246 is divided by w(23).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 5470153.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829038631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:27 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 20 = 0. Suppose -64 = -4*y + 88. What is the remainder when y is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*b*d*h*s**3 - b*d*h*s + b*d*h + 4*b*d*s + 11*d*s**3 wrt h.\nAnswer: -12*b*d*s**3 - b*d*s + b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10921615275\/1508 + 94093221\/13. Let i = 4511 + n. Find the common denominator of i and -93\/16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010000111001 (base 2) in base 7?\nAnswer: 101630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*b - 437*b - 9798 + 7474 = -84*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15343 - 15339. Solve 82\/7*n**2 - 8\/7 - 40\/7*n + 176\/7*n**h + 514\/7*n**3 - 32*n**5 = 0 for n.\nAnswer: -1, -1\/4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + c = 20, 2*c - 40 = -3*p - 3*c. Suppose 136 = p*m + 26. Which is smaller: -1\/5 or m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsrrbewrrsbbrbrbb. Give prob of sequence werb.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 7*x**2 + 9*x - 8. Suppose -5 = 5*j, 3*h - 4 = 3*j + 2. Let f be (h\/1)\/((-1)\/(-7)). Is b(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 less than -18.164010448?\nAnswer: -228.164010448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**2\/(((t*t\/(t\/(t**(4\/7)*t)*t)*t*t)\/t)\/t**7) assuming t is positive.\nAnswer: t**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o + 85*o + 210 = 0. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxo when three letters picked without replacement from gpgoxxgoxogppogggoo.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:56 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 747.2 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (2 - 2) - (536 + -539)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (4 + 3*sqrt(637) + sqrt(637) + sqrt(637) - (5*sqrt(637) + 0)) + -1)*-5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixs when three letters picked without replacement from siirssxsssixisss?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, g: 1, y: 4, x: 2}. What is prob of picking 1 c and 1 g?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036467 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -750 - -3?\nAnswer: -74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 15*o**2 - 15*o - 12. Let r be z(-14). Solve -4 = -2*d + r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2. Let u(w) = 17*w + 15*w - 34*w. Give u(q(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtcaejaeeceq. Give prob of picking 1 a, 1 j, and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 694200187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.3 - 6.5. Which is the nearest to -1\/2? (a) z (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/9 (b) -1 (c) -0.01 (d) -17.7 (e) -14 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.4. Let w = 4.07 - 0.07. Let y = -0.02 - -2.02. Put n, y, w in descending order.\nAnswer: w, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114765 - 114764.9719828. Let u = 0.028 - r. What is u rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + 0 + 1 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k = 28*k - 24902. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let j(c) be the first derivative of -43*c**3\/3 - 7. What is o(j(f))?\nAnswer: 1849*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -45, -67, -89, -111?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233260 divided by -1070.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 13*d**5\/20 + d**4\/12 + d**3\/6 + d**2\/2 + 1985*d. Let x(w) = w**2 - w - 1. Calculate -h(u) - x(u).\nAnswer: -13*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 28*i**2 - 4*i - 4. Calculate v(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.156 + -0.32988\nAnswer: -0.48588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3427, -4030, -4647, -5284, -5947, -6642, -7375, -8152?\nAnswer: -8979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -355 + 173. Let f = 40 - z. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -7 (b) 1.071 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c - 163ba?\nAnswer: -16459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k + 139 - 1\/4*k**4 + 1\/3*k**3 + 0*k**2. Let h(w) = -8*w**3 + 4*w**2 - 3. Determine -h(b) + 3*i(b).\nAnswer: 5*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -30 + 1 + 9?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 50. Let p be (-1*716 - a)\/(12\/8). Is (-3 - p) + 2 + -1 + 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 0*n + 0*n**4 - 2\/3*n**6 + 0*n**3 + 0*n**5 - n**2 + 5. What is the second derivative of b(h) wrt h?\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2489798 and 1520.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -44. Let u = -22 + t. Suppose -46 = -3*a - 13. Calculate the least common multiple of u and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 4, -530?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1308282741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y. Let q(t) = -24*t. What is q(a(m))?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/194150 and -167\/2912250.\nAnswer: 2912250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -30*v - 45. Let s(c) = -19*c + 103. Let p be s(6). What is the hundreds digit of j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - (9 + -3 + -1 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*g, -q - 708*g = -710*g + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-9)*(-2682)\/298. Solve -5*a - r*a = -54 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 31528 = 20*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 2. Let z(o) = 63*o - 33. Let d(j) = 33*m(j) + 2*z(j). Let q(h) = 3*h**2. Determine q(d(s)).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*y - 7578, -y + 9*o + 2517 = 13*o. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54027 divided by 3\nAnswer: -18009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752146554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26239 and 2310413.\nAnswer: 43897847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4}. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**8\/168 - m**5\/30 + m**2\/2 + 2*m. Let y(w) be the first derivative of i(w). Find the third derivative of y(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(2299) + 0)*4 + (sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114) + 6*(sqrt(114)*-2 - sqrt(114)) + sqrt(114))))\/sqrt(6)*-3)**2.\nAnswer: 290*sqrt(19) + 399476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160)\/sqrt(4))\/sqrt(4))\/(sqrt(5) + sqrt(5) + sqrt(60)\/sqrt(192))*-1 + 3)**2.\nAnswer: -8*sqrt(2)\/3 + 761\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 5*o**4\/24 - 86*o**3\/3 + 42*o**2. Give x(21).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 10\/3*f**3 + 35*f - 25\/12*f**4 + 0 + 5\/2*f**2. Factor s(h).\nAnswer: -5*(h - 1)*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w + 20. Let g(s) = 8*s + 7. Let n = -9 + 11. Let b = -4 - n. Let r(p) = 5*p + 13. Let u be r(b). What is u*g(y) + 6*j(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102064745\/511 - -199735. Let i = -2\/73 - d. Factor i*z**2 + 6\/7*z + 4\/7.\nAnswer: 2*(z + 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(832) - sqrt(832)) + 3 - (sqrt(117)*-6 - (1*sqrt(13) + -3 - sqrt(13))))*1)**2.\nAnswer: 8788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11517 divided by -349?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -239109569, -239109567, -239109565?\n\"Answer: 2*i - 239109571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2316251 or -35?\nAnswer: -2316251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 + 17360*z\/3 - 75342400\/3.\nAnswer: -(z - 8680)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 9*h + 3. Let y = -14 - -5. Let v be a(y). Suppose -l = v*l + n - 16, -3*l + 1 = -2*n. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + (9 - 5) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 1963*v + 600308. Determine m(379).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:03 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.107 times -0.02844\nAnswer: -0.00304308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -295, 0 in descending order.\nAnswer: 4, 0.4, 0, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -477, -936, -1381, -1806, -2205?\n\"Answer: b**3 + b**2 - 469*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*k - 93*k - 2 = 0, -57 - 28 = -4*x + k for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 - 235*q**3\/4 + 1383*q**2\/4 - 2065*q\/4 + 229.\nAnswer: (q - 229)*(q - 4)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*m - 5*m**2 + 8*m**2 + 2*m**2 - 4*m**2 + 128*m - 2 in the form j*m**2 + z + k*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - (sqrt(5) - sqrt(50)\/sqrt(160))) + (5 + sqrt(5) + sqrt(5)*1 - sqrt(5)))*1 + -5 + (sqrt(180) + 0 - sqrt(5))*-5)**2.\nAnswer: 45125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 581172 + -4649311\/8. Let x = -5892 + 288723\/49. Calculate the common denominator of b and x.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63\/(-9) + 6\/(5*12\/32970)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3619121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = -54*w + 17*w + 705540. List the prime factors of w.\nAnswer: 5, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(7))**2 + -2*sqrt(847) + (sqrt(14) - (sqrt(14) - -6*sqrt(56)\/sqrt(4)))\/(sqrt(72) + sqrt(72) + sqrt(72) + -2*sqrt(72)))*-4.\nAnswer: -128 + 124*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 6, m: 5}. Give prob of sequence me.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -7031.365.\nAnswer: -210940.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 13972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*i - 5. Suppose 30 = -5*j + 5*l, i*l + 20 - 6 = -j. Let w = j + 14. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/88)\/((-9)\/(-12)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -12\/17 (c) 4\/7 (d) 0.4 (e) 1\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Suppose -2*x = 6*u - 2*u - 20, -4*u - 5*x + 26 = 0. Suppose 0 = -2*m + 14 - u. Let z(g) = m*g - 3*g - g. What is z(q(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6 = -23*b + 21*b, 3*u - 5*b = -16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 f when four letters picked without replacement from wvhhwhhvwhffh?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7)\/(d*d\/((d*d\/d**9*d)\/d)))\/(d\/((d*d**10*d)\/d)*d**(-26)\/d) assuming d is positive.\nAnswer: d**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1872, -2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2715\/543)\/((10\/20)\/((-2)\/4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174975134.110856 - 174975741. Let u = 538.8891319 + v. Let j = -68 - u. Round j to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124270963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:24 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = 484*i - 485*i. Sort i, -3, 4, 1 in ascending order.\nAnswer: -3, 1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15)\/i**0*(i*i**(1\/29))\/i*i**(-13) assuming i is positive.\nAnswer: i**(-811\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 1 - 2*z + 3*z**2 + 2*z + 11*z**3. Is q(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/4 + 5*z**3 - 39*z**2\/2 - 55*z - 121\/4.\nAnswer: -(z - 11)**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n + 105*n = 556305. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37804*n + 2*n**2 + 20507*n - 4*n**2.\nAnswer: -2*n**2 + 58311*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0 - -8?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-329))\/((-23)\/(-23)))\/((-2)\/7).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59852, 119701, 179550, 239399, 299248?\nAnswer: 359097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2578243946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - x + 111 = 0, 2*s = 4*s - 5*x - 257. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4*q - 8. Suppose -7 - 13 = 5*z. What is the units digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from zoehe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 21111210202?\nAnswer: -21111210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, w: 1, e: 5}. Give prob of sequence bbb.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 21. Let c be l(22). Let z = 12 - c. Suppose 0 = 4*o - 1410 + 430. What is the greatest common divisor of o and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 1.9. Let g = -0.4 + k. Which is the nearest to 0? (a) g (b) -4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1, 2, 7, 14, 23, 34?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22 = -5*j, -4*j + 5*j - 2*d = -4. Suppose -v - 18 = -w - j*w, 4*w = 5*v + 24. Sort w, -2, 3 in decreasing order.\nAnswer: w, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 3, z: 5, w: 2, k: 3}. What is prob of picking 2 r and 2 z?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 9?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1383690643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 81. Suppose -2*g + p = g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 - 6*y. Let q(k) = -2*k**2 + 7*k - 1. Let a(l) = 3*b(l) + 2*q(l). Suppose -3*n - 2 = 7. Is a(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 144 - 44 = 0. What is the remainder when 36 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/7 + 1002*p\/7 - 9180\/7 = 0.\nAnswer: -510, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44691656 and 1199776?\nAnswer: 178766624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -296 (base 11) to base 14.\nAnswer: -1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -11.462 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10340 and 42625.\nAnswer: 8013500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.50249399 minus 10?\nAnswer: -15.50249399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19391899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-17 - -7) + 7217 + -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5776*v**4 - 9246122*v**3 - 11259212*v**2 - 4562112*v - 615168 = 0.\nAnswer: -8\/19, -3\/8, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjpjjjpppppjjjp. What is prob of picking 1 p and 2 j?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/5, 1\/65, -0.785?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558444, -558441, -558438, -558435, -558432, -558429?\nAnswer: -558426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 171?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l**(-1\/3)\/l)**25*(l\/(l**(1\/2)*l)*l*l\/(l*l**5)*l*l)\/(l\/(l\/((l*l\/l**(-5\/4)*l*l)\/l)*l)*l*l\/l**(2\/5)) assuming l is positive.\nAnswer: l**(-20087\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + 6*3*((sqrt(1300) - (1 + sqrt(1300) + -3)) + sqrt(1300) + sqrt(1300) - (sqrt(1300) - (5 + 1*sqrt(1300)))))**2.\nAnswer: 90720*sqrt(13) + 1700676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11\/(c\/((c*c\/(c\/c**(-5\/3)))\/c)))\/(c*c\/(((c\/((c\/(c\/(c*c**(-7\/5)*c*c)*c))\/c))\/c)\/c*c))**(2\/69))**(-16\/7) assuming c is positive.\nAnswer: c**(-15248\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + o)*(-2*o**3 + 5*o**3 - 2*o**3) + (2*o - 2*o - 2*o)*(6*o**3 + 9*o**3 - 6*o**3).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 14 + 3*d + 1 + 15.\nAnswer: 5*d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 12. Suppose 5 = c, z - 2*c = -2 + 12. Solve g*j + z = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65913 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37626564 divided by -9406641.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9335928ns?\nAnswer: 0.0000000009335928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = -9. Suppose -5*y + 49 = -0*a + p*a, -4*y = a - 26. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 743\/2 + -390. What is the second biggest value in i, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 50 + 52 = -2*x, 4*x - 2*c = -204. Let z = -36 - x. Solve d + z = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 3*m + 3*j, 2*m - 28 = -j + 60. Suppose 5*w - 27 = 2*w. Calculate the remainder when m is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1331*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n - a = -23, 3*n - a = 12. Let t = 23 - 18. Suppose 3*w = -n*v - w + 135, -w = -t. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1188729461 - -3739.2\nAnswer: 1188733200.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 420911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 5.1.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 minus 0.15?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555073291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3*l - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -36*t + 4\/3*t**3 + 97 - 16*t**2. Suppose d(q) = 0. Calculate q.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 107*b**2 + 140*b - 24959. What is v(106)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13 (b) 6 (c) 0.2 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (((sqrt(175) - sqrt(175)*-2) + 4)*2*-6*1)**2).\nAnswer: 17280*sqrt(7) + 229108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-153932885.\nAnswer: -769664425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 1. Let r be a(6). Let w(d) = 1. Let s(c) be the third derivative of -3*c**2 + 2\/3*c**3 + 0*c + 1\/24*c**4 + 0. What is r*w(v) + s(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64117490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 921, -1, -9, -71 in decreasing order.\nAnswer: 921, 5, -1, -3, -9, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w - 10. Suppose 19*j + 4 = 34*j - 16*j. Which is the biggest value? (a) w (b) 5 (c) j (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221514.363 to the nearest ten.\nAnswer: 221510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t*t\/(t\/((t\/t**(1\/2))\/t))))*t)**(-18)*(t**(-1)*t*t)\/t**3*((t**(-3)\/t)\/(t**7\/t*t))**27 assuming t is positive.\nAnswer: t**(-326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166016289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let s = 4 + o. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3132*t + 203. Let u(k) = -35 + 154 - 31*k - 38 - 45 - 34. What is 2*q(c) - 203*u(c)?\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277031, -554029, -831043, -1108079, -1385143, -1662241, -1939379?\n\"Answer: -c**3 - 2*c**2 - 276985*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/53)*(g*((g**(4\/25)\/g)\/g)\/g)\/g*(g*g\/g**22*g)\/(g**(-2\/41)*g) assuming g is positive.\nAnswer: g**(-1240183\/54325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -2\/21 (c) 2\/17 (d) 12082 (e) -3 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-133)\/(-3363)) - 25?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 460 (c) -3\/4 (d) 3 (e) 2\/13 (f) -1\/3 (g) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8601 and 516906.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a factor of 3600168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 20*w**2 - 38*w.\nAnswer: -w*(w + 2)*(w + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/113229 and -49\/849491.\nAnswer: 175844637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(111\/(-148))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofjyqsjs. What is prob of picking 1 y, 1 s, and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.14664 seconds to milliseconds.\nAnswer: 16146.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13558, 27145, 40718, 54277?\nAnswer: 67822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f - 33*f + 20. Suppose -45 = -5*n - f. Suppose n*l + c - 297 = 0, -1 + 7 = -2*c. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068672484?\nAnswer: 2, 11, 89, 24809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let u(c) be the third derivative of c**4\/24 + 11*c**3\/2 - 27*c**2 - c. Give h(u(q)).\nAnswer: -2*q - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -45. Solve -5*b = -j + 44 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*k**2 - 46 + 531*k**2 + 46 + 529*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2 - 1. Let a be h(0). Let p be (a + 1)*1\/2. Solve p = 3*o + o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1357889730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -885 - -891. What is the highest common factor of 78 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 40*x + 30*x - 60 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101.837 + -0.163. Let s = k - -101.99576. What is s rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a microgram in nanograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -131*d**3 - 8*d**2 + 49*d + 33. Is h(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2655 = -2069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112000 - -1?\nAnswer: 1112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 52. Let k(g) = -g**3 + 5*g**2 - 6*g + 3. What is k(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 42 = 111. Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 160 = -5*n - 4 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/((-14)\/42). Solve 4*y**5 - 69*y**2 - 70*y**2 + 16*y**3 + 29*y**2 + 32*y**4 - 148*y + 6*y**z - 56 = 0 for y.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -843*f + 67. Let s(i) = 211*i - 15. Determine 2*h(b) + 9*s(b).\nAnswer: 213*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4487, 3, 2\/9 in increasing order.\nAnswer: -8, 2\/9, 3, 4487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 160 = 70. Suppose 5*o + 0*d = -2*d + 326, d = -2. Calculate the highest common factor of o and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*(-13 - (-120)\/9). Suppose 0*g = 3*g + 6. Let h be 7\/(-60) - (-3)\/12. What is the closest to 0.03 in o, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248736.\nAnswer: 2, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72689*p**5 - p**3 - 106*p**2 - 36*p wrt p.\nAnswer: -4361340*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1966*z + 171056. Calculate y(87).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 1519?\nAnswer: 1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*t + 253*t + 250*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 1. Let z(p) = -7*p - 24. Let y(a) = -6*b(a) - z(a). What is the least common multiple of y(-6) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + 0*v**2 + v**2)*((-4 + 3 + 3)*(3 - 7 - 11) - 5 - 2 - 7) to the form f*v**2 + b*v + m and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -1 (c) 2 (d) -3 (e) -85 (f) -2153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-7) - -1*4. Suppose i + 4 = d*n, 0 = -0*i - 4*i - 3*n - 16. Let t(y) = 3*y + 4. Calculate t(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5d0 (base 16) to base 10.\nAnswer: 42448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 10*u**2 + 5*u + 1. Suppose 17*w = 13*w + 40. What is the units digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4890\nAnswer: -4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 2)\/3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -1.5. Let y = k + 1.14. What is y rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1648*a**3 - 4931*a**3 + 1646*a**3 + 1636*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/445462645 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (359 - 375) + (-1 - (-2 + -84))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*f - 1 = 3, -f = 3*l - 16. Suppose -19 = -p + 3*x, -1 = x + l. Put p, -3, 5 in decreasing order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 8*v + 12. Let g be j(6). Solve 9 = 3*b - g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329269.7 centuries to months.\nAnswer: 395123640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21547\/54 - 399. Let s(t) be the second derivative of 0*t**3 + 0*t**2 - t - i*t**4 + 0 + 1\/90*t**5. Factor s(m).\nAnswer: 2*m**2*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1945627, -1945625, -1945623, -1945621, -1945619?\nAnswer: -1945617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/81002 and 40\/7777.\nAnswer: 6237154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 0.13 (c) 2\/3 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*c - 2*h + 151, 3*c - 2*h - 142 = -155 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 15*g + 18. What is i(4)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1937 + -1937. Put -23, 2\/9, -32, i in descending order.\nAnswer: 2\/9, i, -23, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3932157722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/43)*b\/b**(-3\/8))\/((b\/(b\/(b*(b\/(b*b**(-1\/7)))\/b*b)*b))\/((b*b**(-2\/41)*b)\/b)) assuming b is positive.\nAnswer: b**(309695\/98728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3389 and 57301212.\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from {c: 19, m: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let u(k) = -k**3 + 6*k**2 - 5*k. Let g be u(5). Let t = l - g. Calculate the least common multiple of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.004 + 0.404. Let a = 14 - 12. What is the nearest to d in 4, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/97795 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901 - 9713916*u + 901.\nAnswer: -9713916*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/4*116\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 2*k**2 + 34*k**3 - 16*k**3 - 22 - 17*k**3 to c*k + h*k**3 + g + w*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of (-221 + 647)\/(1\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 690 and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1. Let m(h) = h**3 + 11*h**2 + 10*h + 7. Let k(w) = 6*a(w) + m(w). Let b be k(-10). Let z be b*-1 + 7\/(-7). Is 0 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-3 - -5)) + 0 + (8 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -355, -709, -1063?\n\"Answer: -354*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*g + 10 = 0, -4*p - 31 = -p - 5*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 + 3*q**2 + 4*q. Let y be c(0). Solve y = -3*f + 4*l - 22, 3*l = f - l + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*w = -2 - 7, 2*w - 7 = 3*t. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-10)\/(-55) - 304\/(-22) and (-4)\/(-12) + 5\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174517 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 624, 623, 622?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 145*f**4 - 46370*f**3 + 1247405*f**2 + 1563620*f + 269700 = 0.\nAnswer: -1, -6\/29, 31, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l - 12 = 0. Let y = 83\/12 + -20\/3. Find g, given that -y*g**4 + 1\/4*g + 0 + 1\/4*g**2 - 1\/4*g**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 24 = 3*f - 186, 4*n - 4*f = 224. Suppose 3*w + 3*y - n = -10, 2*w = -y + 27. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 40. Let f be t(0). Let w be (4 + -1)\/(f\/(-16) - 1). Solve 0 = 3*d + w*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-128)\/154 - 60\/(-210). Let x = q - 26\/33. Calculate the common denominator of 8\/(-10)*(-185)\/(-18) and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k - 2\/3*k**3 + 0 + 1\/12*k**4 + 3\/2*k**2. Let u(n) = 0. What is n?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 13*h = -8. Let s be 0\/((-4)\/(h\/1)). Suppose -4 = -z - 3*n, s = -2*z + 3*n + 5 + 3. Let q(l) = l**3 - 3*l**2 - l - 3. What is q(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*c**2 + 15384*c - 1643524 = 0. What is c?\nAnswer: 641\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 46. Let v(d) = -3458*d - 91. Determine 2*g(j) - v(j).\nAnswer: 3460*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 67, -0.3, -11, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*c = -28030 - 6818 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -73 + (1700 - 1666).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*j = -226*j + 9600 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(30\/5708). Let z = 95 + m. Which is the third smallest value? (a) -1 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52583881 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -29*(134 - (-3 + 10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006868 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - 201?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 333, 331, 329?\n\"Answer: -2*d + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6567)\/(-1194))\/((-165)\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -528362240 divided by 139520\nAnswer: -3787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2002836306 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55048325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let h(v) = -12538*v**2 + v - 1. Determine h(q(m)).\nAnswer: -50152*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17)*x\/(x**(-15\/8)*x))**(-41) assuming x is positive.\nAnswer: x**(-9799\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/120 - 217*q**4\/16 + 439*q**2. Factor d(y).\nAnswer: -y*(y + 651)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c7 (base 16) to base 6\nAnswer: -10503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - a = 13, 2*a - 20 = 3*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 352.7146 + -317.25354. Let w = -0.55794 - s. Let q = -36 - w. What is q rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1136\/4025 + -2\/575. Let c be (2 + -1)*(23 - 24). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 + (4 - -4) + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88467, -88455, -88435, -88407?\nAnswer: -88371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 34 = -2*t + 4*s, 2*s + 7 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 14*l**2 + 79*l - 114. What is s(4)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146596423 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108.1 - 108. What is the nearest to -0.2 in o, -23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230898, -468013, -705126, -942237, -1179346?\nAnswer: -1416453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/70)\/(2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15678, -15581, -15426, -15219, -14966, -14673, -14346, -13991?\nAnswer: -13614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -668411*b**3*q**3 - b**3*q - 4*q**4 - 2964367*q**2 wrt q?\nAnswer: -4010466*b**3 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -33. Calculate the remainder when q is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 + -0.0055136?\nAnswer: 0.6244864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 12. Let p(h) = 860*h**3 + 6*h**2 - 6*h - 72. What is p(m) - 6*t(m)?\nAnswer: 860*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -409741.615 rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/3)\/7*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 + -75433?\nAnswer: -75506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-6)\/18*3)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 1, -1\/10, 550, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.194948616 to four dps.\nAnswer: 0.1949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -56050 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5701 + -5686. Let z be (1\/(-3))\/(8\/(-336)). Is b != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 8 - 14 + 5*d - 81 + 115.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*n + 53*n + 1448 - 1441 + 11*n**3.\nAnswer: 11*n**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1570)\/(-75) + 2\/(-20) and -69\/65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -2, -4, 3 in decreasing order.\nAnswer: 3, 1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5\/5 - 3*f**4 - 27*f**3\/5 - 21*f**2\/5 - 6*f\/5.\nAnswer: -3*f*(f + 1)**3*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13744 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d - 3. Let p be g(-3). Let h(o) = -10*o + 3. Let k be h(p). What is the greatest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from {s: 4, q: 3, v: 9, i: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/3)\/(-4))\/(4 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:31 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24615247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538574807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*k - 2172 = 2047 + 10543 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepppppppeppep. Give prob of sequence eppe.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 6*v + 7*v - 7*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(320) + 1*sqrt(320)))**2 + ((sqrt(20) - sqrt(40)\/sqrt(2))\/sqrt(4) - (2 + sqrt(80)))**2.\nAnswer: 16*sqrt(5) + 21509\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/10 of a decade?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63380, 127971, 192562?\nAnswer: 257153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r - 39. Let u be y(2). Let c(p) = -p**2 - 34*p - 104. Let v be c(u). Calculate the highest common divisor of v and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31337833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 13*t**2 - 13*t + 16. Determine h(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21257, 85128, 191577, 340604, 532209, 766392?\n\"Answer: 21289*f**2 + 4*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -115*x**2 + 31*x - 31. Determine w(1).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*p**2 + 213*l*v**3 + l + p**2*v**3 - 2*p**2*v - 7*p*v**3 with respect to l.\nAnswer: 2*p**2 + 213*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2414 and 213.\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222528 is divided by 4274?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 2. Let u be (-9)\/(-3)*6\/9. Let g be c(u). Suppose g*s - 18 = s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101, 135, 201, 311, 477?\n\"Answer: 2*b**3 + 4*b**2 + 8*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 14743910?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 2*z**3 + 0*z + z + 0*z to the form x*z + k*z**3 + c*z**2 + u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*84829\/2069?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -47 + 16 + 17 + 14 + 1446*r**2. Let u(g) = 2*g. Determine x(u(v)).\nAnswer: 5784*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1433*y**5 - y**4 + 2*y**2 + 7176*y wrt y.\nAnswer: 28660*y**3 - 12*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 61*s - 1. Let m be u(3). Suppose 152 = 2*p - 98. Let o = m - p. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let w(l) = -3*l**2 + l. Let v(n) = i(n) + w(n). Let t(a) be the first derivative of a**3 + 3. Determine t(v(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 16 = 5*y + 4*o, 14 = -3*y - 2*o. Sort 4, y, 2.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 132, 143, 162, 195, 248, 327?\n\"Answer: w**3 - 2*w**2 + 10*w + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/4 - 2*w**3 - w**2\/2 + 8*w - 1. Suppose 0*p - 18 = -3*p. What is the units digit of x(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*k, 0 = -5*p + 4*k - k + 40. Let i(q) = -6 + p - 8*q + 2*q. Let v be i(-1). Solve v = 5*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*c**2*d**2*p + 12*c**2*d*p**2 - 100*c**2*p - 2838557*d**2*p**2 + 4*d**2*p wrt p.\nAnswer: 24*c**2*d - 5677114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502422 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 105027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3507, 3575, 3665, 3759, 3839, 3887?\nAnswer: 3885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 3\/(18\/(-92))*-477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49156530 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11603448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76251148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023771801?\nAnswer: 3, 13, 26250559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 19 - 19)*(-2*o**3 + o**3 + 3*o**3 + (-o - 5*o + 5*o)*(2*o - 2*o - 2*o**2)) to the form g*o**3 + x*o**2 + s*o**4 + p*o + n and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**6\/39 - 8*m**5\/65 + 3*m**4\/13 - 8*m**3\/39 + m**2\/13 - 4. Factor g(p).\nAnswer: 2*p*(p - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.74 - 5. Let w = -0.74 + d. Let r = -7 - -6.81. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-18))\/((-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -110, -147?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**7\/840 - 7*m**6\/360 + 7*m**5\/120 - m**4\/3 - 29*m**3\/3 - 26. Let n(l) be the third derivative of b(l). Determine n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23097.31l in millilitres?\nAnswer: 23097310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h*h\/((h*(h*h**(-1))\/h)\/h)*h)*h)**(-27)*h*h**(-3)*h*h*h**(-1\/4)*h*h**(-8)*h*h*h**(-1)*h**0\/h**(-3) assuming h is positive.\nAnswer: h**(419\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2 + 10. Let b = h + -33. Let n = 38 + b. What is the remainder when 20 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 + 21*p**3 + 19*p**3 + 23*p**3 - 75*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 10. Let h(o) = 0 + 1088*o - 1 - 542*o - 547*o. What is -a(s) - 5*h(s)?\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -4. Let n = -3 - r. Let z = -38 - -48. Are n and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44018309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 10520443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/14*(-630)\/(-27). Solve -1 = -6*j + n for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18241248 and 16.\nAnswer: -2.91859968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 5) in base 4?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, -236, 4 in decreasing order.\nAnswer: 4, -236, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -566037 + 566037. Suppose 6 = -4*n - 2*u - 3*u, -5*n + 11 = -3*u. Sort -1.5, n, x, -1\/6 in decreasing order.\nAnswer: n, x, -1\/6, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3\/4, 1\/3, 6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -0.1 (c) 26 (d) 2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**2 + 37*a**2 - 479 + a + 479 - a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-6)\/4)\/((-72472)\/9056 + 8) and 16.\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172867 is divided by 57537?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0265 and 64?\nAnswer: 1.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = 7. Suppose 1 = g - 1. Is g + (p - -42) + 1 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 1705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -203519 rounded to the nearest 1000?\nAnswer: -204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/15*(-9)\/2. Let j(c) = -c**3 + 7*c**2 - 6*c + 4. Let u be j(v). Solve -u*w + 12 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 243 + -243. Let r be (4 - 3)*(i - 2)*-11. Let u be -4*2\/(-8)*2. Solve -3*y = -b + 7, u*y + 2*b - 7*b + r = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*c = 206*c - 8. What is the derivative of 79*r - 7 - 70*r - 2*r**c - 7 wrt r?\nAnswer: -4*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43354 divided by -2.\nAnswer: 21677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1053627, -1053610, -1053589, -1053570, -1053559, -1053562?\n\"Answer: -s**3 + 8*s**2 - 1053634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + 207. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2. Let j(a) = -6*a + 15. Suppose 13 - 38 = -2*p + 3*d, d = -2*p + 5. Suppose p*v - 85 = -10. Determine v*r(b) - 2*j(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n + 1 - 37. Solve r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0 - 3*x**2 + 0*x**3 + 1\/24*x**4 + 1\/60*x**5 + 0*x. What is the second derivative of s(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u. Suppose -5*b + 30 = -u*b. Suppose 0 = b*m - m - 28000. What is m rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-1)*f)))**41)**(-6)*(f**1)**(2\/37)\/(f**(-1))**(4\/7) assuming f is positive.\nAnswer: f**(162\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-8)*h*h\/(h\/(h\/(h**(-6)\/h)*h*h))*h**(2\/45)*(h*h**3)\/h assuming h is positive.\nAnswer: h**(272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4419 - 4418.6954. Round n to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -11.223639 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 872765.243 rounded to the nearest ten thousand?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423531069?\nAnswer: 3, 13, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 297 = -543. Calculate the lowest common multiple of 91 and z.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 4601121100?\nAnswer: -4601121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -135.9. Let w = t - -7. What is the nearest to w in -4, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 64 - 67. Suppose -2*b + 239 + 348 = -5*a, -849 = -3*b - f*a. List the prime factors of b.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + 474\/(-48) - (-12224002)\/(-16). What is w rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100871 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11\/3 (b) -595 (c) 0.3 (d) -10 (e) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3813207132 - 773\nAnswer: -3813207905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -72*w - 1300. Calculate the remainder when 1966 is divided by h(-19).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -261*c**3 + c - 1. Calculate the lowest common multiple of 63 and d(-1).\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, -4\/13, 63, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1609*-4\nAnswer: -6436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 169087641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/j)**(-1\/63)*j**26\/j**(-8) assuming j is positive.\nAnswer: j**(2153\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - 13 - -42 - 22.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -876 or -875?\nAnswer: -875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704)*-1*2 + 3*(1 + sqrt(704)) + 4)**2 + 4.\nAnswer: 112*sqrt(11) + 755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 - 8*s - 7. Give x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-8) + (-30)\/(-12). Which is the second smallest value? (a) t (b) -4 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2 + sqrt(152))*2)\/((sqrt(8) + sqrt(8)*-2)*3).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 - 6*o + 16. What is y(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12023143 (base 5) to base 6.\nAnswer: -2214040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 + (-19 - 3890\/(-200)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3214 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Suppose 0 = -9*y + 311 - 77. Let a = 20 - y. Give s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 11.0468116?\nAnswer: 10.0468116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -14, 0.05, 22?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4202 divided by 382?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g - 6. Suppose 3*a = 15 + g. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -18. Let w(f) = -l*f - f + 17 - f. Let i(n) = -5*n + 8. Let o(d) = -9*i(d) + 4*w(d). Differentiate o(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/75)\/(1584\/(-1980)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 18 = y, 2*j = -2*y - 2*j - 28. Let u be (-32)\/(-6)*(-15)\/y. Let w = -9 + u. Put 5, -5, w in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63382265\/164787 + -7308\/19. Let r = 156145\/268863 + p. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 96*p + 90. Let k(t) = 23*t + 22. Let y(s) = 21*k(s) - 5*z(s). Let w(m) = -m - 1. Give 5*w(l) + y(l).\nAnswer: -2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-10)*(-480)\/264?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873041 minus -4426?\nAnswer: 877467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + d**2 - 101 + 205 - 97 - 5*d. What are the prime factors of h(5)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*k + 1 + 67 = 88, -k + 50 = 5*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -295196, -295159, -295122, -295085, -295048?\n\"Answer: 37*h - 295233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 23 - 10)*(0*w**3 + 0*w**3 - 2*w**3) - w**3 - 2*w**2 + 2*w**2 + (-5*w**2 + 2*w**2 + 4*w**2)*(-3 + 3 - 2*w).\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:44 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 298853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 25*h**2 - 228*h + 7. Calculate o(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 + 6 = 0. Let d be o - (-121 - 3)\/4. Solve -12 + d = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1 + (sqrt(2448) + -1 - sqrt(2448)) + (sqrt(2448) + -1)*-1 + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015967331.\nAnswer: 11, 23, 43, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -43. Suppose 3*l - a = -3*z, -6*z + 3*z + 8 = -2*l. Does 13 divide 106*l\/4 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 418, -2, 13372, 0 in decreasing order.\nAnswer: 13372, 418, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(140\/(-630))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 17*r**3\/3 - 9. Let a(k) = -k + 2. Let c(i) = 1. Let j(m) = -a(m) + 2*c(m). Give g(j(p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1419, 1424, 1431, 1440, 1451, 1464, 1479?\n\"Answer: j**2 + 2*j + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20883.99 to the nearest 100.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -0.2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 + 11*k - 16. Let m(f) = -2*f**2 - 6*f + 8. Let l be ((-12)\/(-10))\/((-3)\/15). Let p(r) = l*b(r) - 11*m(r). Differentiate p(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 20940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(4 + 1 - 4) - 2 + 0 + 1)*((-1 + 4 - 4)*(-3 - 1 + 6) - 5 + 1 + 2 + 1 + 2 - 5 - 2 + 3 + 1 - 303 + 38 - 475)*(-p + p - 2*p**3).\nAnswer: -4464*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(4500) + 3*sqrt(4500)*2)**2 + (1 + -1*sqrt(4500) - sqrt(4500) - -1*sqrt(4500)*5)**2)*4.\nAnswer: 7440*sqrt(5) + 1044068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -477413*b**3 + 56*b + 43477874 wrt b?\nAnswer: -1432239*b**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -508*r**2*s**3 - r*s**3 + 360*s**3 with respect to r.\nAnswer: -1016*r*s**3 - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5461452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 145*i. Let l(w) = -2*w**2. Give g(l(y)).\nAnswer: -8*y**4 + 290*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -480*v**3 - 4*v**2 - v - 73744 wrt v?\nAnswer: -1440*v**2 - 8*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -29*p**2 + 11999*p - 12000. What is v(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 55501844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18 + -2)*(-62)\/(-4). Let h = l - -4028\/13. Which is the third biggest value? (a) 2\/15 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 12. Let p(x) = -8 + 16 - 9. What is -12*p(l) - q(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5286853, 5286855, 5286861, 5286871, 5286885?\n\"Answer: 2*z**2 - 4*z + 5286855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10976*i**2 - 1159*i**2 + 9019*i**2 - 945*i**2.\nAnswer: 17891*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 + -2) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m - 22*m**2 + 18*m**5 + 4*m**2 - 10*m wrt m.\nAnswer: 1080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 25*j + 235. Let k be g(-9). Solve 6*o - k = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155569157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-12) - (19\/(-6) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2)*(-17)\/2. Let o be 4*(-85)\/(1 - 6). Calculate the greatest common factor of n and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 936 = 32*n. Does 5 divide n\/(-276) - (-4834)\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.352 + -4.2. Let j = -74 - -74.083. Let b = r - j. Round b to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55718.\nAnswer: 2, 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 7, -47, -33, 79, 319, 717, 1303?\n\"Answer: 5*g**3 - 11*g**2 - 94*g + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 3*n**2 + n + 3. Let l be o(3). Let c(x) = 3*x + 14. Let b be c(-6). What is the units digit of l\/b*6\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.168 - 18.032. Let k = b - -18.200031. What is k rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 340, 489?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 14*h + 3. Let b be c(14). Suppose 6*o - 909 = -b*o. Suppose 5*p - o = 154. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0 - 1\/20*g**5 + 0*g - 9*g**2 - 7\/3*g**3 - 1\/60*g**6 - 5\/12*g**4. Let p be w(-6). Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 305, 428, 531?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1*(-1)\/2*16)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 561255227 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t**2 + 10*t**2 + t**3 + t + 0*t**3 - 1 - 3*t. Calculate a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 64 + 7*z - 6*z + 302.\nAnswer: 2*z + 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*k - 30, 5*t + 34*k + 15 = 32*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 403*z**2 - 4830*z - 70. Let n be d(12). Suppose 8\/3*b**3 - 2*b + 0*b**4 - 4\/3*b**n - 2\/3*b**5 + 4\/3 = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 375570 + 375664 = 8*g, 0 = 4*g - 52 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 58186.95um?\nAnswer: 58.18695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8485\/12 + 2863\/4. What is the biggest value in 2\/63, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*r**2 + 2*r**4 + 40*r - 2881*r + r**2 + 7*r**2 - 27*r**3 - 10*r**3 wrt r.\nAnswer: 24*r**2 - 222*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5883 - 5878. Which is the fifth smallest value? (a) -1 (b) -5 (c) 0.22 (d) -2\/5 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/7251?\nAnswer: -2\/7251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -2157083?\nAnswer: 2157076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(3*sqrt(33)\/sqrt(3)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/1851 + 5543\/9255. What is the second biggest value in 2, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*r**2 + 26*r + 1716?\nAnswer: 94*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -13*i + 65 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/8 + 2*w**3\/3 + 2*w**2. Let v = 13 + -8. Let d(c) = -187*c + 1 + 60*c + 59*c + 67*c. Give v*x(s) - 20*d(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 2, m: 9, k: 2}. What is prob of picking 1 p, 2 e, and 1 m?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 25. Which is smaller: p or -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -211 + 4?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292\/14 + (-8)\/(-28)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -760.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/35)\/((-372)\/4650)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b**2 - 1985*b - 25386. Give i(-13).\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32337, 64696, 97033, 129342, 161617, 193852, 226041?\n\"Answer: -l**3 - 5*l**2 + 32381*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 82. Calculate the remainder when 135 is divided by u(12).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = -2*p - 364, -5*p = -10. What is the common denominator of 0 + 5\/(z\/(-476)) and -151\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/((-1)\/(-2)). Let z be (3 + -2)*(-1)\/d. Put -1, z, 0 in ascending order.\nAnswer: -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1561, -1565, -1569, -1573, -1577?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, t: 2, l: 1, k: 2, d: 3, f: 4}. Give prob of sequence nkft.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6345 and 45.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356491409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = k + 10, -5*k - 3*g = -20 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 - -7.62. Let u = -7 + x. Which is the closest to 1\/2? (a) 2 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.605 - -0.605. Let u = -0.3 + 0.4. Is u < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -5426134553.\nAnswer: 5426134548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8170 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1)*50\/(-20) - 9 - 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 + 0*b - 1\/30*b**5 + 2\/3*b**3 - 1\/12*b**4 + 21*b**2. What is y(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8249.357 + -8229.356988. Let z = j - 20. What is z rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 27. Let r(j) be the second derivative of j**3\/3 + 50*j + 4. Calculate x(r(b)).\nAnswer: -2*b + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100112121201000 (base 3) to base 13\nAnswer: -1087026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/40*(-10)\/4. Let w(b) = -b**3 - b**2 - b - 2. Let q be w(k). Solve -4*y + 20 = 0, 0 = q*x + 5*y - 0*y - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 35*m**2 + 107*m + 1955. Determine z(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t)**25*(t\/(t**(2\/7)\/t))\/(t\/t**(5\/6)) assuming t is positive.\nAnswer: t**(3215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 5. Let l be i(0). Suppose 0*p = 5*p + l. Let f(u) = -2*u - 3*u + 4*u. Let k(g) = g**2 - 4*g + 2. Calculate p*k(a) + 5*f(a).\nAnswer: -a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 832942 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:12 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11847516 divided by -2961879\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 3\/2*l**2 - 5 - 2*l - 1\/3*l**3 + l**4. Let f(x) = 7*x**3 - 2*x**2 + 6*x - 4. Let t(o) = -3*f(o) + 5*i(o). Determine t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 386 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 1:54 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -145 - -170 - (8 + -1 + -17 + 18)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 33 = 3*l. Let j = 13 - l. Suppose 0 = 4*g - 2*w + w - 38, j*w = -2*g + 24. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 8 + p**2 + 2*p**2 - 6*p**2.\nAnswer: -9*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9646 + -10701.8. Let l = k + 1155. Let d = l + -108. What is d rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-13)\/(-104))\/(3\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -78, -25, 60, 183?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 1 (c) -0.2 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*v**5 - 2157*v**4 + 6*v**3 - 2*v**2 + 641728?\nAnswer: -900*v**2 - 51768*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175584488 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 16, -9*s - 44 = -2*k + s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 + -0.18. Let r be (-3)\/(-1) - 22\/6. Put n, r, -5 in ascending order.\nAnswer: -5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32 + 12*f + 32 - 15*f**2 - 6*f**2 wrt f?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -719\/12. Let l = -3 - 1. Let w = -546\/5 - -1633\/15. Which is the nearest to t? (a) 4 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5202 - 14?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223055 or 223109?\nAnswer: 223055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 0, -6*y + y + 1 = -b. Let j be b - -1 - (-14 + 11). Solve -j*w - 4 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*k**3 - 46*k**2 + 0*k.\nAnswer: 2*k**2*(k - 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -9*w - 15, -15 + 11 = 4*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 16*h + 32. What is t(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 + g**5 - 2*g**5 + (-3*g**2 + g**2 + 3*g**2)*(2*g**3 + 3*g**3 - 6*g**3) - 5 + 5 + 8*g**5 + 25*g**5 + 16*g**5 - 29*g**5.\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 5*o - 1. Let d be ((-41)\/(-1))\/((-37)\/185). Let i = d + 211. Calculate l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - -1 - (5 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -11. Let h = -9 - q. What is the closest to 0 in h, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1180 divide 8316307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10714 - 7120. Let s be ((-150)\/(-175))\/((-4)\/w). Let a = s - -772. Find the common denominator of -81\/8 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 42164*t**2 - 45779*t**2 - 3*t**3 + 0.\nAnswer: -3*t**3 - 3615*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbsss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 401, 491, 581, 671, 761?\n\"Answer: 90*n + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678464 by -16.\nAnswer: 42404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 7*n**4 + 352*n - 80*n**3 + 87*n**4 - 54*n**3 + 543 - 278*n**2 - 183 - 2*n**5 - 40*n**3 = 0.\nAnswer: -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*i**4 + 21*i**4 - 12*i**4)*(-24 - 27 - 56) as q*i**3 + v*i**4 + n + w*i**2 + j*i and give v.\nAnswer: -4173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 2*x**2 - 2*x**2)*((4*x - 4*x - 3*x**2)*(-2 + 1 + 0) + (7 - 1 - 2)*(-84 + 84 - 156*x**2)).\nAnswer: 4347*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = -2*u + 5, -2*u = 4*y - 10. Suppose 1 = 3*q - y. What is the third derivative of -x**4 - 3*x**4 + 0*x**q + 5*x**2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -12088\nAnswer: 12087.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k - 9*k**2 - 29 - 30*k + 29.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 7*f**2 + 8*f + 11. Let w = 156 - 161. What are the prime factors of q(w)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6*s + 685178 = 0, -2*m + 342590 = 5*s - s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/59 equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11243, 10779, 10305, 9815, 9303?\nAnswer: 8763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.1, -0.7, 4\/3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6164 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*0\/((-108)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1\/3*i**5 + 0 - 1\/3*i + 0*i**3 + 2\/3*i**2 - 2\/3*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 2. Calculate m(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118737 is divided by 38169?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8924 (base 10) to base 7.\nAnswer: 35006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124212002 (base 5) to base 14\nAnswer: 12095c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**4\/24 + 3*i**3\/2 - 57*i**2. Determine l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p - 2. Let l be g(-1). Let t = 12 + -12.2. What is the third smallest value in 0.2, l, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 36. What is the units digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -228.\nAnswer: 47\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28953 - -154816. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*l - 0*h + 466, 5*l = 4*h + 581. Suppose -3*f + 44 = 5. Calculate the highest common factor of f and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19721136?\nAnswer: 2, 3, 410857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 81\/(-21)*-1)\/3. Let z = -95.5 + 70.76. Let h = z - -25. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o - 475. Let a be j(42). Solve 5*q - a + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = 5*p + 8, 5*p + 5 = 5*k. Let s(z) be the second derivative of 8*z**4\/3 + z**3\/3 + z**2\/2 + z. Is s(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24547, -49093, -73639, -98185, -122731, -147277?\nAnswer: -171823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*o - 144*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2*g**3 - 4*g + (2*g - 7*g + 2*g)*(-43*g**2 + 57*g**2 + 28*g**2 + 2*g).\nAnswer: -128*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b + 45. Let p(r) = r**2 - 2*r - 1. Let x(u) = -2*u**2 + 11*u - 12. Let c(l) = -p(l) - x(l). What is the units digit of c(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1922 + -17299\/9. What is the fifth biggest value in 2, -0.3, f, 0, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w - 5*y, -4*w = -2*y + y - 13. Suppose 4*o - 3*o + 5*a + 16 = 0, w*o + 3*a + 4 = 0. Solve -g + o*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*z + 3*z + 62, 64 = 2*m - 5*z. Let s be (-4)\/m + 5814\/33. Suppose -s = -5*p + 134. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 15*h = -650, 3*h = 5*k - 62 - 95 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1 + (-3 - 1 + 3)*(-5 + 5 - 2) + (1 + 0 + 0)*((-18 - 4 + 6)*(-1 - 1 - 1) + (0 - 1 + 3)*(-3 + 3 + 2)))*(v**2 + 0*v**2 + v**2).\nAnswer: 104*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148042194317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/(-33) + 4\/(-22). Let m be -4 - o - (-5 - 2). Suppose -3*f = -4*f + 3. Solve 2 + f = -m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-5)\/(-10) - (2 + -2). Suppose -3*v + 2*v + 46 = x. Let k = v - -41. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-15 + 19 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273306.\nAnswer: 2, 636653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 + 3 = 0. Let p(t) = -3*t**3 + t**2 - 5. Let q(v) = -64*v**3 + 131*v**3 - 66*v**3 + 1. Give u*q(y) - p(y).\nAnswer: -2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -296, -651, -1148, -1787, -2568?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*x - 2714 + 1909 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 2*g**2 - 2*g**2 + (3*g - 3*g - 2*g)*(-4 + 2 + 4)*(4*g - 4*g - 2*g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxw when three letters picked without replacement from {w: 2, y: 7, x: 9}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66 and -83647.\nAnswer: -83581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u - 33. Let a(f) = f - 3. Let t(z) = 44*a(z) - 4*o(z). Let b(r) = 0*r - 2*r + 7*r. Give t(b(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.9 + 39. Let k = u + -4.1. Which is the nearest to 2\/5? (a) k (b) -3\/2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let z = 33 + -38. Let w = -5 + 3. Which is the second smallest value? (a) w (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 - -86. Let n = -190 - j. Calculate the remainder when n is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3\/7 - 34118044*d**2\/7 - 307062104*d\/7 - 272944064\/7 = 0. Calculate d.\nAnswer: -8529502, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/2*9*(-11)\/(-198). Sort -3, n, -1 in descending order.\nAnswer: -1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*d**3*l**2 - d**3*l - 28*d**3 + 2*l**2 wrt l.\nAnswer: 24*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2945980*p**4 - 1333181*p**2 - 2*p.\nAnswer: 70703520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b + 8. What is the tens digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2840, -3098, -3528, -4130, -4904, -5850?\n\"Answer: -86*a**2 - 2754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -17. Let y be ((3 - b) + -3)*1. Let u(x) = x**3 - 3*x**2 + x. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l - 27*l - 441 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose -2*m + 4 = 0, c - 5*m = -l*m - 8. Let n be -2 + 2 + -1 + c. What is the third smallest value in -2, n, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**2 + 160*m + 153. Let u be o(-17). Solve 2*k - 192 = u*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/15 + x**4\/6 - x**2. Let m(s) = 9*s**2 + 9*s. Let w be 6\/(1 - (2 + 7 + -9)\/(-2)). Determine w*m(l) - 13*h(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/7*12\/(-10))\/((-208)\/(-104))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 117*x**3 + x + 115*x**3 + 5*x**2 + 4 - 152*x**3 - 8*x. Is m(2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1213*h + 374860 = -1193*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((49\/(-21))\/7)\/(6\/414).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-17 - (-2904)\/168).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 5*n**4\/8 + n**3\/6 - 2*n**2 - 17*n + 8. Determine r(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1206182928*l + 219879596 wrt l?\nAnswer: -1206182928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*p**3 - p**2 - 20 + p**2.\nAnswer: -197*p**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2953854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**14*c*c\/(c\/(c**(15\/2)*c)))**(-2\/115))**45 assuming c is positive.\nAnswer: c**(-477\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 5)*(w**2 + 0*w**2 + w**2) + (w + 2 - 2)*(-1 + 1 + w) - 63*w**2 + 64*w**2 - 334*w - 3*w**2.\nAnswer: -5*w**2 - 334*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:09 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let s = -1 - w. Suppose x - s = -0*x. Solve 10 = -5*h - 5*j, x*h - 13 = h + 4*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 21*y. Let s(k) = 15*k**2 + k. Determine p(s(f)).\nAnswer: 315*f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14623009, -14623010, -14623011?\nAnswer: -14623012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d**2 - 3*d + 11. Let u be g(0). Calculate the highest common factor of u and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 956 and 7035443.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1353 + 1387 + (1 - -15)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42529\/6 + -7106. Find the common denominator of m and -65\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 326619203.5 to the nearest 100000.\nAnswer: 326600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - 3*g**2 - 2*g. Let s(d) = -4*d**3 - 3*d**2 - d + 1. Let w(r) = 3*a(r) - 2*s(r). Let o be w(-2). Solve 0 = 5*j + 27 - o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 77348, 34 in increasing order.\nAnswer: -5, 34, 77348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25812 - 25446. Calculate the smallest common multiple of q and 168.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14418 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 0. Solve 10 - 4 = -3*p + 3*w, s = p - 4*w + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 16, o: 2}. Give prob of picking 1 o and 2 b.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 491700 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2)*o)**48\/(o*o*o**(-4)*o*o**2))**(-47) assuming o is positive.\nAnswer: o**(-2209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14163, 29007, 43851, 58695, 73539?\n\"Answer: 14844*u - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 0.9. Which is the biggest value? (a) -1 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14433 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 96 - 107 + 214 + t. Let q(o) = -o**2 + 5*o. Let l be (-4)\/(-18) + (-86)\/(-18). Let j be q(l). Give s(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 53\/4 of a week?\nAnswer: 2226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or 91?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*36\/(-21))\/(26 + 4970\/(-196))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 5, 1618?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9932457?\nAnswer: 3, 3310819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1107 and 123.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 17*v**2 + 43*v + 56. Calculate r(-19).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - 2 - (-3 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361*s**6 - 11548630*s + s**2 + 9*s**5 + 1573 + 11548630*s wrt s?\nAnswer: 43320*s**3 + 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12512 and 64308?\nAnswer: 8745888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -580*j. Let b(m) = -46*m**2 + 11*m + 66. Let a(o) = 25*o**2 - 6*o - 36. Let n(y) = -11*a(y) - 6*b(y). Determine n(g(p)).\nAnswer: 336400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 821610504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 28. Let s = -29461\/18 + 1632. Find the common denominator of s and u\/126*-381 - 3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) -94\/3 (d) -9 (e) -0.01 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/20 + k**4\/3 + 7*k**3\/3 - 4*k**2. What are the prime factors of r(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d - 15. Let f(r) = -2*r**3 - 5*r**2 - r + 1. Let w be f(-2). Let s be q(w). Put 2, s, 4 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/60 and 99\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -13.2 bigger than 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12202000122221 (base 3) to base 11\nAnswer: 17a4584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t + 26. Let z(s) = s - 5. Let l be z(5). List the prime factors of g(l).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -879*j - 8080. Calculate w(-9).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*c + 152 = 0, -35 - 294 = -2*w - 3*c. Let i = w - 63. Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 13) in base 5?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9909?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18480*l**2 + 18480*l**2 - l**3 + 84*l**4 + (0*l**2 + 0*l**2 - 2*l**2)*(2*l**2 - l + l).\nAnswer: 80*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 2*t + 68. Let x be q(-9). Suppose -x*d = -3*k + 57, -3*k - 3*d = -19 - 14. Let -4\/5 - k*u**2 - 34\/5*u = 0. Calculate u.\nAnswer: -2\/7, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1897, -3738, -5579, -7420?\nAnswer: -9261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 12. Let d = 10 + w. Suppose 46 + 6 = 4*l. Calculate the remainder when l is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (4\/(-4) + 2). Suppose -47 = -w - s, w - 47 = h*s + s. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/2*(-4)\/3. Calculate the remainder when 3\/(-3)*57\/(-3) is divided by (g\/(-4))\/((-3)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32784 or 33732?\nAnswer: 33732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-44)\/8)\/(5\/90). Suppose 15 = 33*k - o. Let q(l) = l**2 + l + 2. Calculate q(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5315, -21268, -47857, -85082, -132943?\n\"Answer: -5318*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 3408*x - 967872.\nAnswer: -3*(x + 568)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**6 + 2*j**4 - 2673*j**3 - 80167*j**2 - 2 wrt j?\nAnswer: -840*j**3 + 48*j - 16038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*p - 22 = -42 + 38, 5*h = 11*p - 78 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4) + ((-66)\/(-156))\/(7 + 138\/(-18))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (2*sqrt(204)*6 - sqrt(204) - sqrt(204)))\/(sqrt(588) + sqrt(588)*-2).\nAnswer: 9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5507.376m in kilometers?\nAnswer: 5.507376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*m + 87 = 0, 18*t = 19*t - 3*m - 14. What is the remainder when 185 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose 3*u + 11 = -t*g, -3*g + 9 = -u - 3*u. Does 16 divide (3843\/(-15) - (-1)\/5)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1324*d**3 + 889*d**3 + 40*d**3 + 1242*d**3 - 867*d**3.\nAnswer: 2628*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 67*w**5\/60 - 25*w**4\/24 - 7*w**3\/3 + 26*w. Let p(n) be the second derivative of b(n). Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 16 = 182. Let x(k) = 152*k - 231. What is the thousands digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:24 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3782149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 16726\nAnswer: 2\/8363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 1 + 5)*2 - (sqrt(19) + 6*sqrt(1900) + -2 + sqrt(19) + -3))**2.\nAnswer: -1428*sqrt(19) + 33805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -6 - 9) + 1883*195\/17472.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 10 - 4)*(-34*m**2 - 15*m**2 - 9*m**2) to the form p + j*m + h*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**4 - i**3 + i**2 + 1. Let n(w) = -3*w**3 + 21*w**2 - 24*w + 12. Let y(b) = -3*k(b) + n(b). Solve y(j) = 0 for j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/2, -1, 9, -1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ytttccyctyzctct?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5124 and 50996.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-16 - -7 - -2) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 3*w**3 + w**3 + 215*w - w**3 + 2*w**4 - 219*w to the form u*w**3 + a*w**4 + p*w**2 + v*w + l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p - 717. Let x be t(51). Is x at least -32\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + (sqrt(72)*3)\/sqrt(6)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -122300 to the nearest 1000.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28370, 36664, 50494, 69866, 94786, 125260, 161294, 202894?\n\"Answer: a**3 + 2762*a**2 + a + 25606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 + 667?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 12, 0 = -p - 12*i + 7*i + 6100. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**4 + i**4 + 9*i**4 + (-i - i + 3*i)*(-i**3 + 0 + 0) - i**4 - 3*i**4 + 2*i**4 - 236*i**4 - 228*i**4 + 116*i**4.\nAnswer: -346*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2 - 7*p**2 - 3*p**3 + 2*p**3 - 9 + 1 + 7*p. Let i be (60\/105*42\/4)\/(3\/(-4)). Determine c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711547735 to the nearest integer?\nAnswer: 26675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**4 - y**3 - y**2 + y. Let n(f) = -573*f**4 + 6*f**3 + 6*f**2 + 6*f. Let o(z) = n(z) + 6*r(z). What is the second derivative of o(h) wrt h?\nAnswer: -6948*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5539516*p**2*q**2 - 672*p*q**2 + p + q**2 - 7 wrt p.\nAnswer: -11079032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71046690, 71046688, 71046686, 71046684, 71046682?\n\"Answer: -2*g + 71046692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*(q\/(q*q\/(q\/((q*q**(-2\/3))\/q))*q*q)*q)\/q)\/q))\/q)**(-42)\/(q\/q**(-5\/6)*q**(-4)) assuming q is positive.\nAnswer: q**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - w - 3 = 0, 2*w - 30 = 40*u - 35*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 19. Let w be i(0). Let k(t) = t. Let v be k(4). Solve 3*m + v*d - w = -d, 0 = -2*m + d + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25302, 21277, 17252, 13227, 9202, 5177?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1306616, 1306593, 1306564, 1306529, 1306488, 1306441?\n\"Answer: -3*q**2 - 14*q + 1306633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15009 + -15009.05. Which is the second biggest value? (a) 28\/5 (b) w (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 4*(-2)\/4 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768817381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -51*n - 307 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 77.1. Let q = 0.0236 + -0.2236. What is the nearest to o in 17, -11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Let h be 2\/((-8)\/(-36)) + -4. Solve a + h = -p*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/7 - 12*q**4\/7 - 16348*q**3\/7 + 98318*q**2\/7 + 147291*q\/7 - 32750 = 0.\nAnswer: -125, -2, 1, 7, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -201 - 474. Suppose -41293 = -685*t - 11150 + 18492. Calculate the remainder when u is divided by t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280 - -168. Calculate the highest common factor of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 3 (c) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 1, a: 5, u: 1}. What is prob of picking 1 c, 1 q, and 2 a?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 25 - 136 = 0. Let y = s + -25. List the prime factors of 0 + -1 - (-102 + y).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 385*d**2 + 785*d - 395.\nAnswer: -5*(d - 1)**2*(d + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 55. Let y be a(-16). Calculate the highest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -34, 5, -3 in descending order.\nAnswer: 5, 0.1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 3.\nAnswer: 157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*l = -124982, -2*h + 45*l - 47*l + 49994 = 0. List the prime factors of h.\nAnswer: 2, 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/21 and 608\/(-132) + 15\/5.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1029 and 441.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 9 = -9*q - 4*a, 3*q + 2*a = 7. Suppose q*i + 2*f = -3*f + 2730, 5*f - 15 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133835028*h*y**2 + 44838500*y**2 + 4 wrt h?\nAnswer: -133835028*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b. Let c(u) = -2*u - 8067. What is c(v(g))?\nAnswer: -14*g - 8067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 31?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16*r + 1. Let x be o(2). Let i = -67\/2 + x. Which is the closest to i? (a) -0.1 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-1 - (0 + 3)) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 5. Let l(h) = 3*h - 4. Suppose 3*g + 4 = 5*s - 6, g = s. Suppose -s*x - 4 = -x. Let t = x + -4. Determine t*l(z) + 4*r(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + r = -20*d - 19817, 2*d - 7934 = 4*r. Is 3962 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80 and 349621?\nAnswer: 27969680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 35*l - 30*l. Which is smaller: -3\/58 or l?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/25)*i*i*i\/i**(-5\/2))**(18\/13)\/(i\/(i**7\/i)*i*i\/(i*i**(-1\/11))*(i*i\/((i*i**(1\/5)\/i*i)\/i))\/(((i**(-5)*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(18661\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676531556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j - 0. Suppose j*f = -f + 40. Suppose h + f = 2*h. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103787b (base 12) to base 8\nAnswer: 13533437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70686000 divided by 6160.\nAnswer: -11475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 10. Let u be d(-8). Let p(v) = 5*v. Let h be (0 + 1)\/1*-2. Let z(a) = -16*a + 1. Let y(w) = h*z(w) - 7*p(w). Calculate y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 2, s: 9, h: 3}. Give prob of sequence hqqs.\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2074 and 24.77?\nAnswer: -5.137298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - 6*t**2 - 6*t + 9. Let s be p(5). Suppose -s - 183 = -3*a. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105.4 or -1?\nAnswer: -105.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70809 - 35122 = -10*s - 2*s + 35171 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 314004?\nAnswer: 314023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 12}. Give prob of picking 2 s.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11\/(s*s\/s**(1\/9)))**(-4) assuming s is positive.\nAnswer: s**(-328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 + 3*b**3 - 16*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -48. Put 2, p, -3, 5 in decreasing order.\nAnswer: 5, 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -413*a - 25. Let h(t) = 827*t + 54. Let c(g) = 2*h(g) + 5*w(g). List the prime factors of c(-1).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -683 + 667.06. Let f = -87.84 - y. Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 8, l: 4, c: 3}. What is prob of picking 2 c?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u**2 + 8*u**2 + 4*u**2 + 10 + 4*u. Let o = 15 - 8. Is n(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*2)\/(sqrt(176) - (sqrt(176) + ((2*sqrt(176) - sqrt(176) - sqrt(176)) + sqrt(176) - sqrt(176)) + sqrt(176))).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68812\/485199 - 2\/4901. Suppose -1903*f = -3815*f + 1911*f - 10. Calculate the common denominator of p and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.001 + 0.0115. What is t rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-308)\/(-6)*(4 + 14). Let c = -1923 + k. Is ((-2)\/(-6))\/((-3)\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-15 - -41)) + 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.3.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/8 - 5*u**3\/6 - 2*u**2. What are the prime factors of d(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/78 and -145\/63384?\nAnswer: 823992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*b**2 + 5*b**3 - 295*b**2 + 152*b**2.\nAnswer: 5*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 5*f**2 + 3*f**2)*(6*f - 5*f - 3*f) + (-4*f**2 + 2*f**2 + f**2)*(10 - 2*f - 10).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 0.1 (b) -0.07 (c) -38451 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -717281 - -1855317. Let j = f - 608036. What is j rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**2 - 31*v**2 - 10*v**2)*(0*v + 5 + 4*v - 9).\nAnswer: -204*v**3 + 204*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 28 = -3*n. Calculate the smallest common multiple of n and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -16.4. What is the smallest value in -0.27, -1, -0.1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*n + 3*k, 2*n - 6*k + 10*k = -26 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502634 divided by 45694.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*z + 2*z + 9, -4*y + 21 = 5*z. Let v be -2 - -3 - 220\/(-5). What is the greatest common divisor of v and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(777\/14))\/((-1)\/21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/108)\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 12*d)*(0 + 1 - 6).\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001002210 - -202002?\nAnswer: -1000100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 82*s**2 - 27*s + 123. What is the remainder when 2750 is divided by j(-16)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5583 + -1703. What is o rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 26*p - 4661. Let o be s(182). Solve -401 = -o*t - 117 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**4 + 6*b**3 - 491*b + 44596?\nAnswer: 16*b**3 + 18*b**2 - 491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -4266?\nAnswer: -4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-10 - -16 - (-1 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-22)\/275)\/((-2)\/(-10)). Is 25 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32 (b) -0.3 (c) 665\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95739 is divided by 133?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0549511232 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-18 + (-15 - -6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let q be (-24)\/18 - (-69)\/18. Let x(l) be the first derivative of -q*l**2 + 0*l - 1. What is x(k(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71511 + 643316. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-432 - 106)*(-83)\/2.\nAnswer: 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*s**3 - 27 + 27 + 0*s**3 - 2*s**3 + 0*s**3 + s**3 - s**3 - 2*s**3 + (s - 3*s + s)*(-1 + 1 - s**2) - s**3 + 0*s**2 + 0*s**2 + 6*s**3 - 5*s**3 - 3*s**3.\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663783273 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-2))\/(36\/2430)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -573 + 571. Let n = 334 - 2342\/7. What is the third smallest value in n, s, -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246853 is divided by 123425.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*o - 28*o - 206 = 0. Solve o*a + 2 = -4*t + 24, 0 = a - t + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 - 692*j**3\/7 - 12480*j**2 - 461300*j - 5524750.\nAnswer: 2*(j - 451)*(j + 35)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 6) to base 4.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*a = 23, -4*d - 264*a = -533*a + 261*a - 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14960249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-28)\/8)\/(((-272)\/952)\/((-16)\/(-3)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by 144\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*s - s. Suppose 4*o - 13 = s. Does 10 divide 1\/5 + 234\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 12. Let s be (16\/(-6))\/(2\/6). Let t be x(s). Suppose -3*d = 3*p - p + 2, -t*d + 3*p + 3 = 0. Solve 0*a + 5*a + 10 = d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 4*u + 0*u + 1)*(-2*u**2 + 4*u**2 - 9*u**2) in the form h + y*u + d*u**2 + l*u**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.8, 0.02, 0.5, 13, -1 in decreasing order.\nAnswer: 13, 6.8, 0.5, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1062, -938, -820, -714, -626?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 13*m**2 + 15*m - 19. Let g be x(14). Suppose -114 = -4*o + 5*r, 6*o - 116 = 2*o + 4*r. Let q = g + o. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from bbbbbpphcpbpbpppp?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773.53147 rounded to the nearest ten?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - 665*y**2 - 1324*y - 4. Calculate i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t**3 - 3)*(-5 + 1 + 3)*(1 + 0 - 2).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1662 = -3564. Round l to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6695 = 21*h - 941. Let g = h - -279. Solve 2*v - g*v = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 16*c - 18. Let f be n(-17). Sort f, -2, -4 in ascending order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071438302.\nAnswer: 2, 11, 23, 192497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -93. Solve w*q - 5 = -3*u, 4*u = 7*q - 6*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*d - 30 = -234*d. What is the second derivative of 10*j**3 - 3*j**3 + 5*j**3 + 56*j + d*j**2 + 1 - 3 wrt j?\nAnswer: 72*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5266, -10213, -15160, -20107, -25054?\n\"Answer: -4947*i - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1.284 (b) 3\/4 (c) 2 (d) -0.835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1084 + 1227. What is the highest common divisor of 117 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - 95. Let o be (-24)\/(-15) - b\/(15\/6). Let v = -2 - 2. Sort 1, v, o in decreasing order.\nAnswer: o, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 2\/21 in descending order.\nAnswer: 5, 2\/21, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 150 = -14*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 56 = 1. Suppose -3*b + 2*b + 69 = 0. Let h = b + t. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-6))\/((-3)\/27). Let p = 17 - g. Let j(x) = 2 + 5*x - 2 - 4 + 2*x**p. Calculate j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 16*q**4 + 11*q**3 + 726*q**2.\nAnswer: -q**2*(q - 6)*(q + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1061735 > -1061734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*s**2*x + 3*s**2 - 6*s*x - 2*s - 1552*x wrt s.\nAnswer: 22*s*x + 6*s - 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**4\/5 + 18*i**3\/5 + 21*i**2\/5 - 18*i\/5 - 24\/5 = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:23 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000339137465 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74616 divided by 6218.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 47\/318?\nAnswer: 47\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5539 = 135*u + 784 - 6074 + 704 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**7\/7 - 14*p**3\/3 + 37*p. What is the second derivative of o(s) wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(-2\/5)\/k)\/k))\/k)\/(k\/k**(-1\/2)*k))\/((k*k\/k**3*k)\/(k\/k**(-3\/10))) assuming k is positive.\nAnswer: k**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -77000000 to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/((d**(-2\/13)*d)\/d))**(4\/23)*(d**(-2\/7)*((d\/d**(-2\/7))\/d)\/d)\/(d**(-2\/3)*d*d)**(-1\/2) assuming d is positive.\nAnswer: d**(1129\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:09 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069.081 + 123850?\nAnswer: 122780.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*c*m**6 + c*m**2 + c*m - 66103*c + 242*m**6 + 3*m**2 + 1 wrt m?\nAnswer: -18960*c*m**3 + 29040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63334 is divided by 31527?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 49. Let m(c) = -c**3 + 23*c**2 + 2*c + 4. What is the units digit of m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, 1, -0.1342, 6\/29, -5 in decreasing order.\nAnswer: 1, 2\/3, 6\/29, -0.1342, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*16\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-12)\/(-2))\/(-3))\/(2 + 2). Let i = 42489\/70 + -607. Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38633?\nAnswer: 7, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 7. Suppose -2*f - g*f + 75 = 0. Solve 0 = -2*n - 3*n - v + 3, -5*v + f = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982833 is divided by 163751.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3752*r + 119439 = -64409 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6189, -6178, -6159, -6132, -6097, -6054, -6003?\nAnswer: -5944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -3*w**2 + w - 6. Let m(f) = f - 1. Let g be -13 - -19 - 6\/3. Give g*m(o) + h(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j + 18 = -18 + 302. Let l = 30 - 5. Which is the closest to -1? (a) j (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18832*m + 7891*m + 1496488 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -0 - 0. Let o be (10 - 9) + 1 - a\/1. Solve -4*u = -o*u - 10, 3*z - 17 = -u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + j**3)*(289*j - 298*j + 6 - 4).\nAnswer: -9*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(150)*1 + sqrt(150) - (sqrt(270)*6 + sqrt(30))\/sqrt(5))\/(sqrt(30)\/(sqrt(1440)*2) + sqrt(30)\/(2*sqrt(810))).\nAnswer: -648*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Let b = j + -4.93. Let z = b - 0.07125. Round z to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h - 10. Let f be g(5). Let p be f\/10*-6 + 6. Does 13 divide p*(-7)\/(42\/(-208))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*u**3 - 38*u**3 + 3*u**2 + 10*u - 17*u**3 to the form j*u + q + n*u**2 + v*u**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a**4)\/(a**(-4\/5)*(a*a\/(a\/(a*((((a**(-1\/8)\/a)\/a)\/a*a*a)\/a)\/a*a)))\/a)*(a**3\/a**(-4))\/((a\/(a*a*a**1*a))\/(a**(-3\/10)\/a)) assuming a is positive.\nAnswer: a**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3793 = 11697. List the prime factors of l.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 9*g + 14. Let b be f(-6). Suppose -b*q + 38738 + 224334 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/31420 and 111\/30620?\nAnswer: 48104020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/(1\/(-185)). Let v = 61 - h. Let n(s) = -s**3 + 16*s**2 + 4. Let m be n(16). What is the third smallest value in v, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2910*q - 8730. Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -132798 less than -132767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212212022 + -11101021?\nAnswer: 12201111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10\/k**(-3\/7)*k\/((k\/(k\/k**(-4\/11)*k*k))\/k)*k\/(k*k**0) assuming k is positive.\nAnswer: k**(1139\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -757443497587\/5643 - -134227094. Let t = 1\/513 - g. Suppose -44*j = -172*j - 73*j. Is j at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51401, 205601, 462601, 822401, 1285001?\nAnswer: 1850401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4029061, 8058169, 12087277, 16116385?\nAnswer: 20145493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 5)*(-4)\/(-90). Let a = l + 3\/5. Find t such that -a*t**4 - 1\/3*t + 0 + 1\/3*t**3 + 1\/3*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1124)\/(-522) - -63*398\/112833\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -151, -141, -123, -91, -39?\n\"Answer: m**3 - 2*m**2 + 9*m - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3684934 (base 10) in base 12?\nAnswer: -129859a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 688001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)*p**2)\/(((p\/p**(-4\/9))\/p*p)\/p**(-5)))**(1\/7) assuming p is positive.\nAnswer: p**(-139\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8534)\/(-272))\/((-4)\/(-64)*-2). Which is greater: f or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 + 56*l + 24*l + 665 - 331.\nAnswer: 80*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*o + 229 = 4937 + 3122 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -6*y + 13*y. Let z(l) = -10*l**2 - 5*l + 3. Let w(t) = t**2 + t - 1. Give y*w(m) + z(m).\nAnswer: -7*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(105\/6)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 20*q - 12. Let i = 0 - -4. Let t be -2 + i\/(8\/10). Solve t*k - r + q + 12 = 0, 0 = k + 3*r - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 984, 1896, 2820, 3762, 4728, 5724, 6756, 7830?\n\"Answer: a**3 + 905*a + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 53. Sort c, -0.04, 6, -1 in descending order.\nAnswer: 6, c, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*a**2 - 197*a**2 + 123*a**2 - 144*a + 3 - 3 in the form o + z*a**2 + b*a and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -406, -170, 218, 752, 1426?\n\"Answer: -v**3 + 82*v**2 - 3*v - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 5*t**2 + 2*t**2)*(-10 + 10 + 7*t - 2*t**2) - 3*t + 2*t**4 + 3*t.\nAnswer: -2*t**4 + 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8017594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -1, 202, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -140. Let b = 156.9999821 - r. What is b rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675*h + 2*g - 16 = 1679*h, -6 = 3*h - 3*g for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -196*m - 74. Give j(-2).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(3*i + 0*i + 2*i) - 2 - i + 2)*(0*i - 2*i + 4*i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2394*s**3 + 1194 wrt s?\nAnswer: -7182*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (-12 - -40) - (-2 - -10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 962?\nAnswer: 55\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*d - 5*d - 27 = 0, -z + 17 = -3*d. Let p = z - 6. Is 3 a factor of 2*p - -5 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Determine l(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 150574635 less than 3?\nAnswer: -150574632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 294 (b) 8\/3 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1250215419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -59. Solve -a = -2*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -91. Suppose -y*d - 212000 = -4*d. What is d rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**4 - p**2 + 3*p - 4 + 14*p**4 - 19*p**4 + 7 to the form x*p**2 + c*p**3 + a + w*p + q*p**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34327666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*i + 576*i + 5*i**2 + 7*i**2.\nAnswer: 12*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + q = -10, 2582 - 1288 = -12*i + 5*q + 1312 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*x - 24 = 0, 4*x = s - 0*s - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187062*q + 187062*q + 669*q**3 + 2352*q**2 wrt q.\nAnswer: 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -26515?\nAnswer: -26510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -562*t**2 - 421 + 10*t - 3*t**4 + 13*t + 559*t**2 - 23*t as j*t**3 + w*t + p*t**2 + q*t**4 + y and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73739369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1066 - -2)*1\/30. Let r be 4851\/70 + -1 + -8. Let o = r + y. What is the common denominator of 31\/2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 4*n - 4 - 1 + 9*n + 58*n**2 - 9*n as q*n**2 + o*n + d and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-30)*21\/(-35)*200\/(-48)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*3.7\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 22, 26, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 1270564*y\/11 + 201791609762\/11.\nAnswer: 2*(y - 317641)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -872677, -1745657, -2618637, -3491617, -4364597, -5237577?\nAnswer: -6110557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3 + 21\/6). Let l be s*(-2)\/4*11. Let t = 3 + l. Is t < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -4\/15*o**5 - 40000\/3*o - 8000\/3*o**2 - 800\/3*o**3 - 40\/3*o**4 + 25. Let l(u) = 0. Calculate u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42a (base 15) in base 12?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 11*c - 10. Suppose -10*y - 12 = p - 14*y, 0 = -4*p - 2*y - 12. Determine f(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 1260*w - 6241. Calculate q(310).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -18.23. Let m = z + -0.13. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -60. Let u be ((-2)\/y)\/((-2)\/(-12)). Differentiate 15*f**u + 30 - 449*f**2 + 449*f**2 with respect to f.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48038317 = 3*m - 2*k, -2*m - k = k + 32025558. Let i = -28512775 - m. What is i rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 3540004\nAnswer: 3539980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -198011, -198005, -197999?\n\"Answer: 6*a - 198017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/3 + -7\/6. Find the common denominator of -85\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45363*p**4 + 290*p**2 - 2*p + 21 wrt p?\nAnswer: -1088712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - 2 - 3808\/(-680)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59001670 and 6578?\nAnswer: 649018370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(252\/(-90))*1*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 92 = 3*h + 21, 0 = 2*t - 4*h + 20. Let f be (35\/28)\/(2558\/t). Let l = 52539\/12790 + f. What is the common denominator of -51\/4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 + 2. What is the tens digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 26*h**2 - 5*h - 27. Let s be z(22). Suppose 23*g + 4512 = s. What are the prime factors of g?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/6*(-18)\/36. Sort 3, -2, 0.1, t in decreasing order.\nAnswer: 3, t, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let f(z) = 7*z**2 - 13*z - 1. Calculate f(c(t)).\nAnswer: 7*t**4 - 13*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131596\/25 + 5264. Let m = -0.2 - -0.1. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 + (-5)\/(-1). Let y(a) = 3*a**2 - 13*a + 1. Let o be y(k). Sort o, 3, -7.\nAnswer: -7, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-66))\/((-2)\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625) + sqrt(625)*2 + sqrt(625))*-1 - sqrt(625))\/((sqrt(320) - (sqrt(320) - 2*sqrt(320)))*-1).\nAnswer: 25*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-12))\/(30\/(-9)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 169*n - 2037\/4.\nAnswer: (n - 3)*(n + 679)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -9 + 4 + 9 - -6) + (32 - 76)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7262873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72212 = 6*k - s + 72233, -2*k + 2*s + 8 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vde when three letters picked without replacement from {n: 8, d: 6, e: 2, v: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0.0815.\nAnswer: -4.9185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 1995*h + 3994.\nAnswer: -(h - 2)*(h + 1997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 19. What is the second derivative of 8*p - 21*p - 7*p**2 + o*p + 13*p wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 8) to base 14\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11602367 or 11602366?\nAnswer: 11602367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - b + 5 = 0, 5*b - 25 = g - 5*g. Suppose -5*m + g*m + 15 = 0. Solve 0 = -3*w - m - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/762 and 95\/48.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 1118082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3985 and 1225.\nAnswer: 976325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2 - 11*g - 32 wrt g.\nAnswer: -4*g - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53, 151, 323, 575, 913, 1343, 1871?\n\"Answer: g**3 + 31*g**2 - 2*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from gtagatgatgg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - v + 13 = 0, 5*v = 5*o + 5 + 10. Let y be (-1)\/1 - (1 - 3). Calculate the highest common factor of y and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c + 119. What is the remainder when 84 is divided by n(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**13\/(p\/p**(-21\/5)*p)*(p\/p**(10\/7))\/p**(3\/4) assuming p is positive.\nAnswer: p**(787\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 182826691511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00599 - 391.10599. Let f = -356 - x. Let h = -50 + f. Round h to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165.9999874 - -166. Round v to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 83.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/5578 - -2049951\/22312. Do 91 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -0.4, -11, -0.06, 3\/16, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9493, 9512, 9503, 9448, 9329, 9128, 8827?\nAnswer: 8408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1778 + 3169. Calculate the remainder when m is divided by 235.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-4)\/14 - (-1236)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 1, s: 5, b: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.6473258 months?\nAnswer: 0.13727715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - 2*k + 2*k)*(-572 + 22 - 1219 + 208) to x*k + o + u*k**2 and give u.\nAnswer: -1561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 428 + -429. Which is smaller: x or 70?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j - j + j**2 - 14*j as u*j**2 + k + f*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759487854 to the nearest integer?\nAnswer: 27559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s + 104. Let m(x) = 9*x - 50. Let j(g) = -13*m(g) - 6*n(g). Calculate j(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let t(a) = 2*a. Let s(p) = -2*p. Suppose 14 = -c + 5*c - y, 5*c = -5*y + 30. Let l(b) = c*t(b) + 3*s(b). Calculate h(l(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {y: 2, k: 2, r: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250463000 rounded to the nearest 1000000?\nAnswer: 1250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 9. Let i = -40 + 37. Which is the closest to 1\/2? (a) i (b) w (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338280 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*j**4 + 24048*j**3 + j**2 + 54236222?\nAnswer: 3696*j + 144288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f + 23. Determine y(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -16. Let w be ((-26)\/(-4))\/(4\/(-112)*-7). Suppose 5*c - 5*i - 40 = 0, -i + w = 4*c - 3*i. Solve 2*z + 2 = q - 0, c*z = 2*q - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/185 (b) 2 (c) -8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 6*a**3 - 3*a**3)*(2*a**2 + 0*a**2 - 4*a**2) + (-2*a**3 + 4*a**3 - 3*a**3)*(0*a**2 + 0*a**2 + a**2) - a + 2*a**5 + a.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60846 = -4*y - 5*m, 2*y - 4*m - 29447 = 989. What are the prime factors of y?\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/81 and -11\/45295101.\nAnswer: 407655909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 - 119*a + 0 - 38\/3*a**3. Let s(r) = r**2. What is j(s(x))?\nAnswer: -76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9689.8 and -0.054?\nAnswer: 523.2492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -13*j**4\/12 + 2*j**3\/3 - 5*j**2. Is 32 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + ((1 + sqrt(68))*1)**2 - (3 + 0 + sqrt(17))*-5.\nAnswer: 11*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 2 in decreasing order.\nAnswer: 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1784 - 734.8216. Let k = u - -736. Which is the nearest to k? (a) 4 (b) 1 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14995545 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -641095, -1282186, -1923273, -2564362, -3205459, -3846570, -4487701, -5128858?\n\"Answer: -t**3 + 8*t**2 - 641108*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 501718 divided by -7\nAnswer: -71674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 5*l - 2*l)*(-5*l + 0*l + 0*l) as b*l**2 + f*l + p and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764112?\nAnswer: 2, 7, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 - -4)) + -1 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664*j - 5087*j - 14 + 4*j**2 + 15 - 2*j**2.\nAnswer: 2*j**2 - 3423*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.31 - 4.31. Is 0.1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2854\/2093 + 132\/91. Solve 2\/23 - 2\/23*f**2 - z*f + 2\/23*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*1104\/(-1656)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.56 * 4836059.\nAnswer: -7544252.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)\/(46\/(-4)). Is k < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) -0.1 (c) 926.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 + 11 = 0. Let v = 20 + y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140\/8*(-12)\/(-6) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.72962 litres in millilitres?\nAnswer: 54729.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18239795.\nAnswer: 5, 7, 521137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-37\/3)\/(a\/a**(-42)) assuming a is positive.\nAnswer: a**(-166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:48 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/10*p**5 - 1\/15*p**6 + 0*p**3 + 1\/6*p**4 + 1\/21*p**7 + 0 - p + 0*p**2. Factor y(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - 129.5. Which is the biggest value? (a) w (b) 5\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 67 + 210 = 0. Let k be 2*(-2)\/2 - 9. Is q bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 8073200?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*a - 107, -j - 4*j + 320 = -3*a. Let n = j + -57. What is the least common multiple of n and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(825)*3 - sqrt(33)))\/(sqrt(66)\/sqrt(24))*-1)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -633260 + -250243. Let d = o - -1543503. What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/666199 and 48?\nAnswer: 666199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -i, 0 = -5*i + 14*l - 9*l + 70. Let d = -10 + 20. Let t be (-3)\/((-6)\/d)*1. Sort t, i, -3 in ascending order.\nAnswer: -3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-42))\/(8\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2*l + l + 2*l + (-4*l + 0*l - 4*l)*(1 - 3 + 0)).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -30 - 5\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 720000. What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-175)*((-105)\/18)\/7\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7286 + 25766 = -1848*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 3. Let m be q(-5). Solve u = 3*b + 7, b - 1 - 5 = m*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*1\/(-2))\/(92\/46).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12)*(-9)\/6. Suppose -5*z = -2*z + 4*s - 68, -3*s = -15. Suppose 54 = 7*v - z*v. What is the third smallest value in v, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38034344345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58, 211, 446, 763, 1162, 1643, 2206?\n\"Answer: 41*m**2 + 30*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94534860 a multiple of 3290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from {l: 2, u: 7, j: 11}.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuixxfxuuwi. Give prob of picking 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(5*(-8)\/80)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4818 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: Let b(t) = t**3 + 11*t**2 - 2*t - 3. Let h = -1 + -10. Let p be b(h). Let i = p - 14. Solve m = i*v - 14, -3*v + 3*m = v - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.1734.\nAnswer: -0.6936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 2*u**3\/3 + 2. Let o(d) be the second derivative of 4*d**3\/3 + 7*d**2\/2 + d - 755. What is o(r(g))?\nAnswer: 16*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 q, and 1 f when four letters picked without replacement from {d: 1, f: 11, q: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 3*f - 3. Let d(y) be the first derivative of 7*y**3\/3 - 5*y**2\/2 + 5*y - 16. Give -3*d(n) - 5*p(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 7 + 48*o**2 - 108*o**2 + 51*o**2 + o**4 to t*o**3 + z*o**4 + c + m*o + y*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3525, -3833, -4225, -4701, -5261, -5905, -6633?\nAnswer: -7445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 2599?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 - 4*i + 2*i)*(24*i - 27*i + 8 - 4).\nAnswer: 6*i**2 + 28*i - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 61611?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 3*k**2 + 4*k - 4*k + 2*k. Let r be j(3). What are the prime factors of (-6)\/9 + (-23)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 3. Let u(a) = -12*a - 6 + 10 - 1 - 11. Determine 8*s(n) - 3*u(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67325, 67882, 68439, 68996, 69553?\n\"Answer: 557*g + 66768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.9804 tonnes in grams?\nAnswer: 301980400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 - 14 = -i, 2*v = -2*i + 18. Let c(z) = z**3 - 6*z**2 + 9*z - 2. Does 26 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mghmjhhimjmmmmh. Give prob of sequence hhj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 134455.11 less than -23741?\nAnswer: -158196.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t = 113*t - 8*j + 4*j + 34, 4*t + 3*j = 32 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 2*l**2 - 4. Calculate z(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*i - 93, -2*i + 3*r + 9 = -31. Let b = -333 - -338. Calculate the lowest common multiple of b and i.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + (1 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3896130309 + -315.3896416309. Let y = c - -315. What is y rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20202 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535298078?\nAnswer: 2, 7, 38235577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 13. Let k be j(-6). Does 9 divide (-70)\/(-4) - k\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 376442 and 188221?\nAnswer: 376442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38632207*k**3 + 36531199*k wrt k?\nAnswer: 231793242*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 6. Let p be h(-7). Let f be 5*1 + (3 - 4). Suppose -f*i = -3*k - 23, 2*k - 4*k - 2 = 0. What is the greatest common factor of p and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*l - 20, 5*d - 20 = -0*d. Let n(i) = -i**3 + i**2 + i. Let b be n(l). Put 5, -2, b in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -826425*t**3 + 8*t**2 - 23178699*t?\nAnswer: -4958550*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipip when four letters picked without replacement from ibbppbpqig?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q*r**4 - 4*q*r**2 - 121*q*r + r**2 wrt r.\nAnswer: 72*q*r**2 - 8*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2030 by 406.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 5*k**2 - 8*k - 1. Let g(t) = 5*t**3 - 9*t**2 - 18*t - 2. Give 4*g(l) - 9*z(l).\nAnswer: 2*l**3 + 9*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7624*g**3 + 2*g - 2*g - 2722*g**3.\nAnswer: 4902*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*g = 93*g + 800. What is the greatest common factor of 30 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86312 (base 9) in base 13?\nAnswer: -1ccc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965104 is divided by 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1600, -6386, -14356, -25510, -39848, -57370, -78076?\nAnswer: -101966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8187 = -z, -98*z - 4*i + 41109 = -93*z. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150860299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4814484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 1)*(-1 + 2 + 0) + (-2 + 1 + 3)*(-17 - 198 - 378))*(-4*f - 3*f + 9*f).\nAnswer: -2370*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 25. What is the smallest value in -4, -6, v, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let o(f) be the first derivative of 3 + 1\/3*f**3 - 2*f + f**2. Determine o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -18 - 12. Suppose 32 = 3*c + c. Let d = h + c. Does -2\/13 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:28 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -48. Let c = 25 - d. Is 14\/11 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4846513, -4846489, -4846449, -4846393, -4846321?\n\"Answer: 8*p**2 - 4846521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 7\/65, -1\/6, -55, -1\/3?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {q: 1, y: 3, w: 3, t: 1, o: 3, v: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.09191 grams to kilograms.\nAnswer: 0.09709191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.425 + -0.235. Let m = s + -1.18. Let h = 1 - -2. Which is the nearest to -1\/3? (a) h (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3)\/(-13*25\/(-325))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 8) to base 7\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:56 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 - 25 - 9 - 2*q**2 + 4*q**2 wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2)\/(-1) + 27. Suppose 2*h = 7*h + u. Let o(c) = 13*c + 15. Let j(g) = -7*g - 8. Let a(m) = 5*j(m) + 3*o(m). What is a(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7162546 (base 8) to base 16.\nAnswer: 1ce566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2*d*d)\/d)**20\/(d*d*d**(-2)*d**(2\/3)) assuming d is positive.\nAnswer: d**(238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 less than 4228731689496?\nAnswer: 4228731689495.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -3. Suppose 2*g - 18*m = -f*m + 17129, 0 = 2*m - 6. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 - 250 = -10*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9*m + 2*m**2 - 2*m - 5*m**2 + 2*m to d + q*m**2 + w*m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 2*w + 4. Let o(h) = 11*h**2 - 4*h - 8. Let q(t) = -13*i(t) - 6*o(t). Let n be q(4). Let g = 51 + n. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*j**4 + c**2*j**3 - 3*c**2*j**2 + 2*c**2*j*l + 119*c*j**3*l wrt j?\nAnswer: 24*c**2*j + 6*c**2 + 714*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -640\/81 + 44749\/3726. Let u = h - -1649\/276. Calculate the common denominator of -97\/14 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238.2 plus -775287?\nAnswer: -776525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456527071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + 2*j**2)*(1907 - 1919 + 6313).\nAnswer: 18903*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4694809\/150 + 31299. Calculate the common denominator of q and -15\/22.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9252 and 19296.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/60)\/(-3*(-1)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*y - 3*g, -58 = -4*y - 3*g - 3. Suppose 5*k - 5*d - 280 = 0, 2 = -2*k - 2*d + 118. Calculate the remainder when k is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4407*h**2 - 4421*h**2 + 13386*h**2 - 4560*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2638? (a) -0.3 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27166 = 14*i - 9360. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgoo when four letters picked without replacement from {o: 10, x: 3, g: 3, w: 1, l: 2}.\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/10640 and -73\/95760.\nAnswer: 95760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 198*h**2 - 1111537*h - 203*h**2 + 1111534*h. Let z(g) = 3*g + 4*g + 4*g**2 - 5*g. Determine 2*b(i) + 3*z(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -17*i - 11. Let h(x) = -x + 2. Let c(g) = 2*g - 10. Let j(b) = -2*b + 11. Let w(q) = 6*c(q) + 5*j(q). Calculate i*w(n) - 10*h(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -180, -153, -132, -129, -156, -225, -348, -537?\n\"Answer: -2*z**3 + 9*z**2 + 14*z - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - 4*d + 4. Let f(w) = -143*w**2 + 65*w - 65. Let j = 7 + -3. Let u(h) = j*f(h) + 65*b(h). Let x(q) = q**2. Calculate u(x(s)).\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4453315 (base 8) in base 2?\nAnswer: -100100101011011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 2, m: 2, u: 2, q: 4}. Give prob of picking 2 j, 1 q, and 1 o.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 = 2*l + 3, -4*l = -2*u. Let d(g) = 18*g**2. Is 6 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 15) in base 14?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -44. What is the third derivative of -16*o**g + 9*o**2 - 5*o**5 + 4*o**5 wrt o?\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12547.800813 rounded to the nearest 100?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/14)\/p*p*p**(3\/32) assuming p is positive.\nAnswer: p**(69\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/8*((-100)\/(-84) + -1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/33 and 83\/102?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.39 * -24.92.\nAnswer: 607.7988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12 + 4)*(-14)\/(-21) + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/5145)\/((14\/(-126))\/(4\/96))?\nAnswer: -1\/196","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071993266 to three decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 3. Suppose -5*t - 107 - 288 = 0. Does 16 divide t\/(-5) - 2\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*8\/(-20) + (-344)\/(-10). Let a = 361\/10 - x. What is the common denominator of -71\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6294 in -4, -2, 1\/8, -26, 2\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 35, 32, 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*a + 46*a + 5 + 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**8\/240 + 8*g**7\/315 - 17*g**6\/180 - g**5\/5 - 7*g**4\/6 + 5*g. Let p(l) be the third derivative of r(l). Factor p(x).\nAnswer: 4*(x - 1)*(x + 3)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130756 = -4*s - 4*g, -g - 20023 + 85404 = 2*s. Calculate the greatest common divisor of 44 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -3, -4\/7, -0.19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 30 + 36 = 3*u, -3*u + 5 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11399676\/13 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -244aa64 (base 11) to base 7\nAnswer: -51133140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -83*b + 1160, 101 = -3*w + 107 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 75*q**3 - 5*q**2 + 5*q - 5. Let m(v) = -75*v**3 + 6*v**2 - 6*v + 6. What is -5*m(s) - 6*x(s)?\nAnswer: -75*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26113279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 2*c - 5*c + (18 - 22 - 24)*(-2*c + 5*c + 0*c).\nAnswer: -88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 846, 1694, 2542?\n\"Answer: 848*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/65 - 163\/715. Let o(l) = -9*l**3 + 377*l**2 + 44*l - 95. Let f be o(42). Is f bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6115.4 + 6115. What is the smallest value in 0.3, k, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 6426423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1625 - 1625 - 3044*n as k*n + m and give k.\nAnswer: -3044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041975839 rounded to five decimal places?\nAnswer: 0.04198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/6, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 758*n + 31833. Give f(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {r: 4, q: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:45 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**(-7) assuming d is positive.\nAnswer: d**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -87. Does 38 divide 2 + 4 + (u - -134)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*q**5 + 253*q**4 + 10*q**3 = 0 for q.\nAnswer: -5\/4, -2\/49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61638.32396 and 42.\nAnswer: 61680.32396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1453 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 580*q**3 + 99*q**2 + 15*q + 11. Let b(h) = -290*h**3 - 54*h**2 - 8*h - 6. What is 11*b(v) + 6*u(v)?\nAnswer: 290*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 + 516229*f - 5167817 wrt f.\nAnswer: 3*f**2 + 516229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/3 + 1457587*v\/3 + 971726 = 0.\nAnswer: -2, 1457589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 4*d - 26. What are the prime factors of u(-6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 488 - 419. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 16*r**2 - 33*r + 10. Suppose -3*x = -a - 2629, 5*a - 4395 = -138*x + 133*x. What is the remainder when x is divided by y(-14)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4149355128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 4660 = -4*u. List the prime factors of u.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4187 * 0.2.\nAnswer: 837.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(0 - 1 + 2) + 2 - 4 + 1)*(2 + 1 - 6)*(-2 + 2 + 2*w**2) + w**2 - 3*w**2 + 0*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 1, -2\/7, -0.04, 1650, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/30 + 4*j**2 - 18*j. Let a(o) be the first derivative of z(o). Let k(n) = -22*n**2. Give k(a(p)).\nAnswer: -88*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 - 89. Suppose v = 2*v - f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by -36.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**3 + 0*c**3 + 0*c**3 + (-c - c + c)*(-3502 + 3502 - 55*c**2) + c**3 + 2*c**3 - 2*c**3.\nAnswer: 50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 15 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((16 - 42) + 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2 + l. Suppose -17*m + 14*m = 4*j - 5, 10 = -j + 3*m. Calculate w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.043 and -41583?\nAnswer: -1788.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*4*sqrt(228) - sqrt(228) - sqrt(228))\/sqrt(12) - (sqrt(931) + 0 + 5 + sqrt(931))).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012 + -30?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**6\/30 + 7*f**3\/6 + 8*f. What is the second derivative of q(n) wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 243.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -17) + -12 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2897.18 and 0.5.\nAnswer: 1448.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 take away -26659?\nAnswer: 26942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1 + 1)\/4. Let x be 1 - (-6)\/(-10) - 98\/(-280). Let y = 38.5 + -38.6. What is the nearest to y in -4, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 2908*i - 718377\/2.\nAnswer: (i - 121)*(i + 5937)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 - 18*z + 52)*(z - 58*z - 16*z) in the form s*z**2 + u + g*z and give s.\nAnswer: 1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i + 1233. Determine b(33).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0296 and 0.10342.\nAnswer: -0.003061232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 divided by -58.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -v - 0*p + 181, 3*v - 548 = 5*p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/70 - (-6)\/(-5). Put -1, l, -130 in decreasing order.\nAnswer: -1, l, -130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 949 and 7357610.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12409 - 12408.8. What is the closest to 2 in -1\/4, -2.94, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 b, and 1 k when four letters picked without replacement from kbbhbhkbhkbbbkbh?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*p + 64, 9*y - 5*y - 2*p = 50. Find the first derivative of y*g + 2*g - 293 + 215 wrt g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*g. Suppose 3*k + k = 20, -5*f - g*k = 10. What is the tens digit of (-31)\/(-3) + f\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9736 rounded to 2 decimal places?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:30 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4, -60*f + 300 = 2*q - 55*f. Calculate the remainder when 4646 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 8*p**2 + 4*p + 10. Calculate t(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-21) - 11\/77. Suppose v + 0*v + 277 = x*g, 0 = -5*g - 5*v + 715. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/29)\/(g*g**(-9)*g*g)*((g**(-6\/11)\/g)\/g)\/(g**(-7)*g) assuming g is positive.\nAnswer: g**(3038\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -165.4 times -26383\nAnswer: 4363748.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11300 (base 4) to base 3.\nAnswer: -111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:47 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-102)*-99 + 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 18301461.\nAnswer: 18301461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805544 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*l - 81*l + 72*l.\nAnswer: 229*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 7. Let i be (1 - 1 - -3)\/(-1). Let d be (1\/i)\/(8\/(-216)). What are the prime factors of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4707\/5 + -941. Put -2\/5, 0.2, a, -12 in descending order.\nAnswer: a, 0.2, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 0.0515.\nAnswer: -4.9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58714988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100235923?\nAnswer: 79, 13927037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 22. Let w(v) = -v + 13 + 9*v**2 + 7*v - 3*v**2. Let z be w(-4). Calculate the highest common divisor of o and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 375 = g. Suppose -3*n + 8*n - g = 0. Solve 2*t = 4*t - r - n, -4*t = 5*r + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66050 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 -381919875*m**4 + 423*m**2 - 280599?\nAnswer: -9166077000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2592\/5*b - 18*b**3 + 0 - 3\/5*b**4 - 864\/5*b**2.\nAnswer: -3*b*(b + 6)*(b + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39903 - 22375. List the prime factors of z.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (1 + 9 + -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -110000101101110?\nAnswer: 110000101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4113 - -0.0113. Let b = 1.4 + -2.3. What is the second biggest value in 3, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 70995120*s + 315019191488400.\nAnswer: 4*(s - 8874390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**2 - 11*w**2 + 0 - 15*w**2 + 2 wrt w?\nAnswer: -46*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v - 4. What is the tens digit of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67719127057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6002167, 6002176, 6002185, 6002194?\n\"Answer: 9*w + 6002158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 359740360 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 24aecec?\nAnswer: 24aece7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 0*g**5 - g**5 + (2*g**2 - 2*g**3 - 2*g**2)*(-g**2 - 1 + 1) - 2*g**5 + 0*g**5 + 3*g**5 + (-g - g**2 + g)*(18*g**2 - 18*g**2 + 2*g**3).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 2 (c) 1\/2 (d) -88 (e) -1\/4 (f) -15.377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227.6 + -269. Let q = w + 41. Let g = -290 - -290.3. Which is the third smallest value? (a) 0.5 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*t, 4*t - 20 = a + 3*a. What is the units digit of (-70)\/a*(-8)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -852*s - 1034?\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 8. Let m be k(-8). Suppose -j - 59 = -2*t + 2*j, 5*t + 2*j - 157 = m. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 + 30*n**4 + 45*n**3 + 20*n**2.\nAnswer: 5*n**2*(n + 1)**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 332*a**2 + a - 2. Let n be h(2). Suppose 8006 = 4*v + 3*m - n, 0 = 5*v + 2*m - 11671. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from mxsxxxxssxmmxm?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1295837 and 6980?\nAnswer: 25916740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, 3, 4\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 16. Suppose -30 + 10 = z*c. What are the prime factors of 3\/((75\/(-385))\/c)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from oooooeeoo.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221232 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 0. Suppose w = f - i - 131, 4*i + 14 = -2. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2865 smaller than -2865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -279, -419, -559, -699, -839?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l - 9. Let i be d(-8). Let w(b) = 3*b**3 - 27*b**2 + 12*b. Let a(q) = q**2. Let u(g) = i*w(g) - 15*a(g). Factor u(m).\nAnswer: -3*m*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -37\/2 (b) 41 (c) -832\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -76, -122, -196, -304?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166754208?\nAnswer: 2, 3, 31, 137, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -336, -1136, -2694, -5262, -9092, -14436, -21546?\n\"Answer: -42*c**3 - c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 9 + 0*q**3 - 2*q**3 as f*q**2 + a*q**3 + j*q + g and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 17 = -4*p, -p + 28 = 3*a + 10. Let u(x) = -3 + 3 + 2*x - 3*x + a. What is u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**11*i))\/(i\/(i*i**(3\/10)*i)))**(2\/77) assuming i is positive.\nAnswer: i**(-97\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -57.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p**3 + p**2 + 3*p + 2. Let n(f) = -f**2 - 7*f - 8. Let d be n(-6). Let u be w(d). What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229356 by -23.\nAnswer: 9972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 l when four letters picked without replacement from {g: 3, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - 4890\/24)\/((-6)\/80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4733*m - 4418*m = -19530 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 - 3*h**2 + 4*h + 0*h**2 + h**3 - 5 + 4*h**2. Is w(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 31*m - 1024. Give w(35).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-6)\/(-4))\/(32*(-120)\/(-64000))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -322, -728, -1296?\nAnswer: -2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0723553g to milligrams.\nAnswer: 72.3553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 62\/3. Let a(b) = 2*b**2 - 8*b + 5. Let y be a(5). Let n be y\/(-25) + (-14)\/(-40). Put n, i, 0.3 in descending order.\nAnswer: 0.3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u. Let k be n(1). Suppose -10 = -k*s + 22. Solve -v = v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -1, 44, 107?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497676 or 11?\nAnswer: -497676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 8*u + 96. Let n be c(-14). Calculate the highest common factor of n and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 21*p = -53589. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 8*f**3\/3 - 4*f - 5. Is j(3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11415704 divided by -34\nAnswer: 335756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-54) + (-2)\/9. Let s = p - -4. What is the lowest common multiple of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2025 and 16605?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 63, 239, 533, 945?\n\"Answer: 59*u**2 - u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 667*w**2 - 398*w - 1591. What is the units digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213112001420 - 4?\nAnswer: -213112001424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -1\/132*u**4 - 1\/22*u**2 + 39*u + 0 - 1\/33*u**3. Find c, given that n(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3240 - -3240.3. Sort -0.069, 1\/4, z, -22.\nAnswer: -22, -0.069, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -11.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8)*(-6 + (12 - 4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30474?\nAnswer: 2, 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q - 27 = 3*g, -q + 1 = -3*g. Suppose 70*i - 111*i = -10127. What is the greatest common divisor of i and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2 - 16) + 0 + 6 + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + k**4)*(-k + k - 2*k) - 13*k**5 + 26*k**5 + 29*k**5.\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -31 (c) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -161*z - 14. Let y(n) = -48*n - 5. Let v(c) = -3*w(c) + 10*y(c). What is v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155617 and 57962366.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**3 - 949830*y + 10*y**3 + 949795*y.\nAnswer: 2*y**3 - 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1841 + w**2 - 5*w + 4*w + 1947.\nAnswer: w**2 - w + 3788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 1\/10*c**5 + c**2 + 1\/24*c**4 + 0 + 0*c - 1\/6*c**3. Is n(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 10 = -d, 3*y + 6 = 0. Let l be 1\/(1 + 1\/d). Solve 2*u + 2*u = -12, l*u = 2*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -13. Which is greater: -0.3 or t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24412.4 plus -4193.6?\nAnswer: 20218.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75363209*t**2 + 214711593*t wrt t?\nAnswer: 150726418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 968*o - 137*o + 1037*o + 2834*o in the form i*o + c and give i.\nAnswer: 4702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(28*d - 13*d + 4*d).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1590367*b*l**3*q - 2*b*l**3 - 5361*b*l*q - 29*b + l**3*q - 26*l**2 wrt l?\nAnswer: -9542202*b*q - 12*b + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/84)\/((-6)\/14). What is the second biggest value in n, -10, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/18 + 74*h**4\/27 - 215*h**3\/27 + 62*h**2\/9 - 1786*h. Find q, given that y(q) = 0.\nAnswer: -31, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31677*g**3*j**2 - 206699440*g**3*l - 222*g*j**2 + 7*g*j*l + g*l wrt j.\nAnswer: 63354*g**3*j - 444*g*j + 7*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1198 - 4791\/4. Let t(a) be the second derivative of 0 - 10*a - 5\/24*a**3 + 1\/20*a**5 - j*a**2 + 1\/30*a**6 - 1\/24*a**4 + 1\/168*a**7. Factor t(m).\nAnswer: (m - 1)*(m + 1)**3*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) -1\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - -1 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-5))\/((150\/(-18))\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.247 + 2.753. What is the closest to -2\/3 in 0.1, 0.2, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 3*v**2 + v + 1. Suppose -3*s - 9 = -0*s - 3*r, 0 = 4*s + 3*r - 9. Suppose s = -3*p - 1 - 5. Give x(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.89 + 0.51. Let o = 9 - h. Which is the smallest value? (a) o (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 32*r**2 - r + 32. Let o be g(32). List the prime factors of 643 + (3 - (6 + o)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**5\/2 - 42435*n**4\/2 - 148373421*n**3\/2 + 11946676035*n**2\/2 - 72692157384*n + 241648548960 = 0.\nAnswer: -7112, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 7*o + 128. Let k(n) = -6*n + 3. Determine k(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 3. Let m = 1 + -2. What is the third smallest value in c, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25040 and 405.\nAnswer: 2028240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1321796)\/(-18) - (-72)\/(-648) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*q**2 + 11*q + 16*q - 58*q**2 - 29*q to the form m*q**2 + o + l*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21320 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*w + 54. Suppose 0 + w = 3*l + d, l - 4*d = 25. Let m(a) = a**2 - 3*a. What is m(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4771\/367 + ((-271)\/7 - 8\/28).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7.38, 3, -5 in decreasing order.\nAnswer: 7.38, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574 - 549 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-25)\/24)\/((-60)\/1344*4)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310750739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5544.847 decades?\nAnswer: 665381.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00120902 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiwwiiiwwiwii?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 - 2 = 5*n, 0 = -a - 3*n + 30. Calculate the least common multiple of 6402 and a.\nAnswer: 19206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.523396 kilograms?\nAnswer: 1523.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154611 - 51541 - 51538 + 4*f - 51532 - f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7574*v - 7576*v = -2*r - 30, -r - 3*v + 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/77)\/((18\/105)\/(-1)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 40, 41?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2179, -4382, -6585?\n\"Answer: -2203*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -45a22449?\nAnswer: 45a2244b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:05 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o\/(o\/(o\/(o**(-7)\/o)))*o))\/o*o)\/(o\/(o*o**(-1))))**(-40)\/((o**(-1))**(-2\/5))**(1\/58) assuming o is positive.\nAnswer: o**(69599\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2328, -4718, 5, -3 in increasing order.\nAnswer: -4718, -3, 1, 5, 2328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -5. Let i be 2\/x + 47\/(-7). Let d = 3 + i. Let m(c) = 2*c + 1. What is m(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - 36 - (0 + -2 - (16 - 13))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/423 and 71\/1598?\nAnswer: 14382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1334978*q**4 + 24045944*q**3 + 294170*q**2 + 900*q.\nAnswer: 2*q*(q + 18)*(817*q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1. Let v(u) = 7*u**2 + 4. Let m(f) = -4*h(f) - v(f). Let z be m(3). Let j = 158 - z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + p)*(0 - 2*p + 0) + 57*p**2 - 21*p**2 - 14*p**2 - 2*p**2 + 0 + 0 + p**2 + 2*p**2 - p**2 + (-4 - 2 + 5)*(-2 + p**2 + 2).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1085, -2161, -3229, -4289, -5341?\n\"Answer: 4*s**2 - 1088*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/10)\/7*4\/(-60)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -6, 71 in ascending order.\nAnswer: -6, -5, -3, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - 4) + (7 - 1). Let y(o) = o**2 + 9*o - 17. Let j be y(u). Suppose 17 - 3 = -2*m. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.5 - -8. Let x = 126 + -126. Which is the closest to 2? (a) w (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.64*0.4.\nAnswer: -8.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 387*g**2\/2 - 415*g - 229. What is the derivative of u(r) wrt r?\nAnswer: 387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1673*c**2 - 9*c - 15. Let t(z) = 836*z**2 + 4*z + 7. Let u(s) = -6*h(s) - 13*t(s). Let p be u(1). Let w = -432 - p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 129332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -287.139 - -287. Let b = -161.861 + a. Let m = 161.9901 + b. Round m to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x + 432 + 374 = 0 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4 - 4 + 2*x**2 + 8*x. Suppose 9*n - 35 = 12*n + 4*b, 2*n + 25 = -3*b. Calculate the remainder when 47 is divided by g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0 - 11*r - 1\/5*r**5 + r**4 + 2\/3*r**3 - 2\/15*r**6 - 4*r**2. Suppose t(x) = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97.44 times -0.22\nAnswer: 21.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let g(o) be the second derivative of 5*o**4\/12 - o**3 - o. Let p(u) = -11*u**2 + 13*u. Let t(z) = 13*g(z) + 6*p(z). Determine d(t(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 120*a**2 - 6260 + 17743 - 276*a**2 - 294*a**2 wrt a?\nAnswer: -900*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + (-1 + -5 - 15) + 10 + -3 - -7.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11\/540?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s**35))\/s*s)\/s)**(2\/51) assuming s is positive.\nAnswer: s**(-74\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 77. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 429\/(-27) - 2 - (-288)\/(-2592)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - 7238\/(-4). Suppose -w + 5930 = 2*k. Round k to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -67*i + 118. Let t(k) = 2 - 51 - 7 - 23 + 45*k. Let v(s) = 5*p(s) + 7*t(s). Is v(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-288))\/(52\/(-12) - -1). Let j(o) be the third derivative of p*o**6 + 1\/3*o**3 - 1\/10*o**5 + 0 + 0*o + 35*o**2 - 7\/24*o**4. Determine j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 9*s**2 + 38*s - 610. Does 73 divide m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0911 + -10.3511. Let v = d + 0.26. Let n = v - -10. Which is greater: -5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716805991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(28) + sqrt(252))\/sqrt(4)*-3)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 526 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 0.95.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 times -0.1\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate the highest common factor of 172360 and 134413.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 15*t - 5. Let m be v(13). Let i = -18 + m. Suppose 0 = 3*h - g + 3 + 2, 5*h - i = -4*g. Which is bigger: -6\/11 or h?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4226299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 365*o**3 + 6*o - 5. Let q(c) = -1462*c**3 - 22*c + 19. Determine 6*q(a) + 22*z(a).\nAnswer: -742*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18627162 is divided by 175.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -795265*o + 39763247. Determine x(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119.1 - -14.9. Let f = 137.38 - n. What is f rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:31 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404550 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -5\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2445130 by 53155.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:48 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9111984 by -12117.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 0 - n - 6*n - 5. Let h be 1\/(-4) + (-65)\/(-20). Let c(l) be the second derivative of 2*l**3\/3 + 3*l**2\/2 - l. Give h*w(k) + 5*c(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -25*a. Suppose 1736 = -24*r + 1760. What is i(r)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/175 - ((-82)\/5)\/2. Suppose -y*k = -0*k - 168. Suppose 2*s - k = 1. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -1. Let b = 34 - 49. Let s = 23 + b. Solve h - 3*g = -i, s*h - 13 = 3*h - g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 5. Let j(g) = 5*g + 2. Let x(k) = 10*j(k) + 4*q(k). Let t(p) = -25*p**2. What is t(x(s))?\nAnswer: -44100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53072 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 + 64 = 77*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -31 - 5*o**2 + 26*o + 41 - 29. Let a be v(21). Is (21\/42)\/((-1)\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/6, 14040\/17 in descending order.\nAnswer: 14040\/17, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5061\/22 + -459\/2. What is the common denominator of j and -2*((-5)\/16 - -2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let l(b) be the second derivative of -b**3\/3 + 8*b. What is l(v(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(343) + (0 + sqrt(343) - sqrt(343)))*-6*-6 + sqrt(343)*-1*3*-3 + -4)**2.\nAnswer: -12600*sqrt(7) + 3472955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 11*h - 14. Let f = -24 - -30. Let y be p(f). Calculate the remainder when 78 is divided by 81*((y\/12)\/(-5) - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3993*f + 3627. Let q(r) = 1996*r + 1813. Let b(k) = 4*d(k) - 9*q(k). Find the first derivative of b(p) wrt p.\nAnswer: -1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 2, n: 2, p: 2, j: 2, b: 1}. Give prob of sequence bnj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (2 - 6) - (-24 + (13 - -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 96\/36*(42\/4 + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -27*x + 36 + 32*x + 1. Let p be b(-3). Let r be p\/(-3)*(102\/(-4))\/1. Calculate the greatest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 4015 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121236208?\nAnswer: 2, 7577263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 281.\nAnswer: 14\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3191 - -3190. What is the nearest to b in -2, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1.5. Which is the biggest value? (a) -0.2 (b) -2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 486.27 and -246?\nAnswer: -119622.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 0.007.\nAnswer: 4.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2320 = 8*t - 7600. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -1\/6 (c) 488 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*(-8)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 132 - 136*q**3.\nAnswer: -136*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -22*z**2 + z - 1. Suppose -2*x - 7 = 3*p + 5, 4*p - x = -5. Let k(y) = -y + 1. Let h(q) = p*k(q) - t(q). What is the tens digit of h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * -7628.\nAnswer: 13730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 + l - l + l + 25*l**3.\nAnswer: 6*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -306, -285, -266, -249, -234, -221?\n\"Answer: -t**2 + 24*t - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 130280890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)\/(0 + 4\/2). Let f be 52\/10 + (-5)\/25. Solve 5*i - 25 = 0, m = -f*o + 2*i + i - 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 28. Let k be (1\/2)\/((-1)\/8). Which is the nearest to n? (a) k (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47200312 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 23548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + d - 49 = 0, 4*r + 0*d + 72 = 3*d. Let c(s) = -s**3 - 15*s**2 - 7*s + 10. What is the tens digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2112 and 2992?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 16*c + 2 = 0. What is the greatest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*r - 223*r + 622*r = -1860 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -582\/11, 1\/6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -46*q + 24. Suppose 5 = 12*t + 41. Let i(u) = 9*u - 5. Let j(k) = t*g(k) - 14*i(k). What is j(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -832 times -1933?\nAnswer: 1608256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/614 + 12267\/7982. Let f = q - 34\/39. What is the nearest to 4\/5 in f, 4, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 5*w**2 - 3*w + 2. Is d(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (33\/44)\/(2*(-1)\/(-144)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-10)\/2 + -3. Let t(q) = q**3 + 7*q**2 + 4*q + 4. Is t(o) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47493 and 26385?\nAnswer: 237465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -7658 and 52173528.\nAnswer: 52165870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -52, -130, -280, -526, -892, -1402, -2080?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:14 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1062\/1390357 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 12 = -h, -7*l = h - 2*l - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 6) to base 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*j + 20, -4 = 2*j + 2*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 9f7239e?\nAnswer: 9f7239c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17*p. Let h(y) = 8041*y. Calculate r(h(x)).\nAnswer: -136697*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 846 and 848 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 2:46 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -66167140 divided by -52\nAnswer: 1272445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 16, 2 in ascending order.\nAnswer: -3, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-8))\/(-1)*7\/(672\/(-128))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 14. Determine b(16).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -10 - -4) + (8 - 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3623040 and 9180?\nAnswer: 10869120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-2))\/(((-2)\/16)\/(330\/(-1980))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -281.2 + 281.15. Which is the third smallest value? (a) r (b) -2 (c) 1 (d) 1\/4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.354358 to 2 decimal places.\nAnswer: -143.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d8a - -4?\nAnswer: 2d8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 126*i + 84*i + 5)*(-2*i**2 + 6*i**2 + 2*i**2) to the form c*i + z + b*i**2 + x*i**3 and give x.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 + 5*t + 3. Let h be i(-3). Let d = -1148 + 1158. Find the third derivative of -46*g**2 + h*g**4 - 9*g**4 - d*g**4 wrt g.\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 285 + 245 = 4*i, -2*i - 2*h = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t, -45*b + 49*b + 5*t - 118118 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -5, 1, -64, -2, 6 in ascending order.\nAnswer: -64, -5, -2, 1, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 10211?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*t - 1499 + 1499 as o + h*t and give h.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 28475*k**3 - 3*k - 4*k - 28501*k**3 - 4 + 2*k**2 - k**4 + 4 as h + x*k**2 + d*k**3 + u*k + f*k**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22222 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 5. Let c be s(17). Let a be c*(-6)\/45*2*5. Solve n - 8 = -3*b - n, 3*b = 4*n - a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 608 - 588. Suppose 3*r - 69 = -x*r. Solve 12 + 0 = r*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u + 12. What is q(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80 + 199?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 36 = -186. Suppose -3*a - 4*g + 5659 = 0, 2*a = d*g - 11*g + 3776. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose s - 4*k = 5*s - 84, s + f*k - 31 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j + 3*j + 1 + 3*j**3 - j + 6*j**2. Factor y(g).\nAnswer: (3*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 122\/10 - 5\/25. Let n be k + -10 + (-76)\/(-2). Is 2*19*220\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 3*p + 2 + 444*p**2 - 555*p**2 to s*p**2 + j + o*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1432 and 204698135.\nAnswer: 1637585080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 6. Is o(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*o - 3, -3*m + 7*o = 2*o + 5. Solve m*w = 2*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*b - 18 = 0, 20 = 5*b + 5. Suppose 2*y = 2, -r*w - 5*y - 31879 = -6*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*s**2 + 17 + 11 - 37.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 46627.9\nAnswer: -186511.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111249*j**2 - 12038*j - 2?\nAnswer: 222498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 580*o + 12185. Determine n(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178.01 + 178.010058952. What is o rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -68*p**3 + 21*p**2 - 11*p + 25. Give o(3).\nAnswer: -1655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 - 8 + 7*v**3 - 9 + 5.\nAnswer: -2*v**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 330531571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 1509712695.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30 and 187\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -45*p**2. Let g(i) = 5*i + 42*i - 8*i - 16*i. Calculate n(g(w)).\nAnswer: -23805*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1368*d - 265*d + 465*d.\nAnswer: 1568*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*o**3 + 2*j**2*o**2*v**3 - j**2*o + 3*j*o**2*v**3 - 2*j*o*v**3 + 2*j*o*v**2 + o**3*v**3 wrt j.\nAnswer: 2*o**3 + 4*o**2*v**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a2aa - -6?\nAnswer: 4a2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvvl when four letters picked without replacement from xvvl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 27. Let y(f) = -5*f - 58. Let b(s) = -9*u(s) + 4*y(s). Calculate the least common multiple of 176 and b(-22).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -560*s**2 + 0*s**4 + s**4 - 96 - 324*s**2 - 331 wrt s?\nAnswer: 4*s**3 - 1768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - v**2 + v**2)*(1 - 1 - 1)*(-1 + 5 - 1)*(-3 - 1 + 5).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**1)\/(j**(2\/3)\/j*j))**(-3\/23)\/(j*j**(3\/10)*j*j\/((j*j**(-1\/15)\/j)\/j))**(-1\/7) assuming j is positive.\nAnswer: j**(1543\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121 (base 3) to base 2.\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**4\/4 + 6*x**3 - 11*x**2 - 45*x - 2. What is the least common multiple of t(-19) and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - f + 10 - 6 = 0, 4 = f. Let z(l) be the second derivative of 0*l**3 - 3\/4*l**4 + w - 3\/20*l**5 + 0*l**2 - 3*l. What is t in z(t) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:45 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/2 + 5*b**3\/2 - 3*b**2\/2 - 17*b\/2 - 5 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860*q - 88 = -864*q. Calculate the remainder when 54 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*t**2 - 23548*t + 16464.\nAnswer: 4*(t - 588)*(10*t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/24 + 145\/210\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -113?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.270094 times 0.07\nAnswer: -0.01890658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/5 of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:52 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 256\/(-12)*(-9)\/(-4). Let t = 50 + w. Suppose -7*f = -t*f - 90. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (-15 + -21 + 53)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -85. Let o be 6120\/119 - t\/7. Calculate the highest common factor of 39 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 11:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10)*3*(-380)\/(-114). Let z = 24 - 14. What is the greatest common divisor of z and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:01 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 38.57.\nAnswer: -115.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -152*u**3 + 2*u + 149*u**3 + 7*u + 13 + 14 + 32*u**2. Let w be o(11). Solve -2*h - 4*r = 3*h - 11, r - w = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 1*sqrt(170))*-6)\/((sqrt(20)*-2)\/sqrt(2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j. Let z(t) = 0*t + 0*t + 52*t**2 - 66*t**2. Give z(y(l)).\nAnswer: -224*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.0679.\nAnswer: 0.02716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let d = 8.03 - 8. Let z = d + 2.97. Put 0.2, z, j in decreasing order.\nAnswer: z, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88021197 to the nearest integer?\nAnswer: 9382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 10*j - 5*j + (-2*j - 2*j + j)*(0 + 0 + 1))*(-j**2 + 3*j**2 + 0*j**2) to the form v*j**3 + c*j**2 + b*j + q and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9268168691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/20 (b) 0.00534 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -4\/87 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s + 29*s - 79*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -25*z - 32. Solve -2*m + 0 = -z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**3*z**2 + 7*v**3*z - 5*v*z**3 - 1456*z**4 + 1598*z wrt z?\nAnswer: 6*v**3 - 30*v*z - 17472*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 164. Suppose z = x + 41. Is x not equal to -108\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 46. Let s(i) = 2*i - 4. Let n be s(4). Let c be 14\/n + (-1)\/2. Solve -r - 1 + m = -l, 5*r = c*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.025267 - -0.0257. Round k to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*h**3 + 2*h**2 + 16*h.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/30253 - -121022\/151265. Let -z*w**2 + 4\/5 - 2\/5*w**3 + 2\/5*w = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3*(-4)\/8)\/((-2)\/(-52))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14535483*s**2 + s - 14444886 wrt s?\nAnswer: 29070966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (31\/(-2046))\/(1\/(-441857)). Let q = 6694 - h. Find the common denominator of 137\/6 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22448*g - 110 + 63 + 47 as u*g + s and give u.\nAnswer: 22448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85624 is divided by 428?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(-5 + -1 + sqrt(125) + (sqrt(125) - (sqrt(125) + 1)) + 2))**2 + 3 + -4).\nAnswer: -11995 + 4000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81872, 81904, 81948, 82010, 82096?\nAnswer: 82212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 3. Let v be i(-6). Suppose -33 + 24 = -2*c + r, 4*r = 4*c - 28. Sort v, -4, c in descending order.\nAnswer: c, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -2013, -4530, -8053, -12582?\nAnswer: -18117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*o - 1335*m + 1330*m + 57, 2*m = -4*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 5*i = -24. Let j = 13 + i. Suppose j*u - 16 - 94 = 0. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37331429*z**2 - 2152*z - 1575.\nAnswer: -74662858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71454 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (685\/274 - (0 - (-142)\/(-20))) + -9\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29339 != 850850\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 790 and -7999?\nAnswer: -6319210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqdku. Give prob of picking 2 q and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 1, l: 3, c: 2, o: 3, v: 1}. Give prob of sequence co.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 2*a = 36*d - 32, 22 = 3*d + a. Solve -y + 4*c = -d, -3*y + 16*c - 4 = 15*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u. Let p(j) = -164*j**2 - 2. Calculate g(p(c)).\nAnswer: 328*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402285?\nAnswer: 3, 5, 13, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 17*g - 18. Let o be s(-4). Solve -p + o = 4*v, -5*p = -3*v - 3 + 28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5949 is divided by 1161.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 13*r - 1056 = 0. Let d = 173 + r. Calculate the remainder when 113 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(5*q - 2*q - 2*q) - 44 + 9*q + 44 - 3*q + q + q + (-2 - 1 + 4)*(-q + 0 + 0) + 2*q + q - 5*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -645444*n**2 + 4*n + 26290369?\nAnswer: -1290888*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34311, 33511, 32711, 31911, 31111, 30311?\nAnswer: 29511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/18010430 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*n + 374 - 50, -4*n = f - 69. Let h = -78 + f. Differentiate -h + 30*g**3 + 15*g**2 + 15 - 15*g**2 wrt g.\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3\/5, 5\/2, -1\/2 in ascending order.\nAnswer: -1\/2, 3\/5, 5\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285589, 285512, 285385, 285208, 284981, 284704?\nAnswer: 284377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (219 + -213 + 10\/(-2))*(-38)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201 (base 5) to base 14.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 42*f**2 + 5. What are the prime factors of v(3)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3 + 5 - 2*f**2)*(4*f + 2*f - 4*f) - 10*f**3 + 14*f**3 + 15*f**3.\nAnswer: 15*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183.89 + 185. Let k = 85.89 + i. Let w = 87.0047 - k. Round w to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*n + 18 = 2*n, 0 = -4*d - 3*n + 14. Suppose -3*w = -9, -3*b + 3*w = w. Let z(i) = 3*i**b - 7*i**3 + 14*i**3 - d*i**2 + i - 1. What is z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-6)*30423\/10. Let f = d + 2512. Calculate the common denominator of f and 13761\/5808 - (-2)\/(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*u + 176*u = t - 1, 6*u + 18 = 6*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -388, 0.5, -0.1 in descending order.\nAnswer: 4, 0.5, -0.1, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 63*m - 10. Is f(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-15))\/(2\/((-2)\/(-3)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 16) to base 2\nAnswer: 101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19391 (base 10) to base 4\nAnswer: -10232333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53790 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 14*w - 8. Let y(t) = 6*t**2 - 79*t + 39. Let z(m) = 11*g(m) + 2*y(m). Give z(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6493\/7 + (-9)\/(-21) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61.894 - -0.106. Let k = -61.99986 + n. What is k rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0 + 0*s**3 + 0*s**4 - 2*s**2 - 1\/10*s**5 + 0*s. Let w(b) = -2*b. Give w(c(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-383567395.\nAnswer: -38356739.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6, j - 6*j + w = -18. Solve j*g - 20 = -4*k, -2*k + 3 = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -5) + 3 + 1. Suppose h + h - d = 0. What is the third derivative of -243*a**h + 8*a**2 + 243*a**3 - 8*a**5 wrt a?\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4669*h**3*m + 21566042*h**3 - 3*h**2*m**2 - 6*h*m**2 with respect to m.\nAnswer: -4669*h**3 - 6*h**2*m - 12*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 218 - 193. Find the second derivative of d**4 - 11*d**3 + 13*d**3 - 10*d**4 + d**4 + v*d + 7 wrt d.\nAnswer: -96*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 1195\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 2}. Give prob of sequence pk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + (-1)\/(3\/(-30)). Let s(j) = -j + 2. Let y be s(k). Suppose 2*t + 7 - 1 = 0. Put t, 0, y in increasing order.\nAnswer: t, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 394.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*d**3*p + 425*d**3 + 17*d*p + 4 wrt p?\nAnswer: 61*d**3 + 17*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*r**3 - 250*r**3 + 128*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66569?\nAnswer: 66569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1967 and 21.\nAnswer: 5901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 477\/31 < 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89067689.116 - 654986.916. Let x = d + -88412753.20000021. Let h = x + 51. Round h to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-2)*c**4*c**(-1)\/(c\/(c\/c**(-6))) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 44*t**4 + 92*t**3.\nAnswer: -t**3*(t - 46)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 106\/5, 4, -1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 - 11 = 4*s, -4*s = -m - 13. Calculate the common denominator of (-2)\/m - 1188\/448 and 57\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0*g + 0*g - g**2)*(2*g**2 - 2*g**2 + g**2) + (-1 + 1 - g**3)*(-5*g + 8*g + 7*g) - 2*g**4 + 4*g**2 - 4*g**2.\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -1, -11 in ascending order.\nAnswer: -14, -11, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3937201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/9 - 4850*y**2\/3 - 178976*y - 44926336\/9 = 0. What is y?\nAnswer: -7163, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 + -1 + (-1798 - -1672)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfccciwwcnwfcconc. What is prob of picking 1 f, 1 o, and 2 c?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -671.8639 or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-105) - (-4 + 182\/49). Let u(n) = n - 13. Let a be u(11). What is the closest to g in 0.3, 6, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 39. Suppose -q*m + 3*m = -26. Let k(n) = 17*n**2 + 5*n - 18. Let f be k(-4). What is the greatest common divisor of f and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:49 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -12*b + 18. Suppose b*u = -0*u + 6. Suppose 0 = u*d - 1803 - 2697. Round d to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmdolmfnmllllnm. Give prob of picking 1 f and 1 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 6*c + 5. Let f = -330 - -325. Let s(p) = -3*p**2 - 5*p + 4. What is f*s(j) + 4*r(j)?\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*m + 149, -2*h - m = 3*h - 257. What is the remainder when h is divided by (-11 + -16)\/(-3) + 18?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-9 - -3 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287521.\nAnswer: 13, 17, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 151237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 - 5*g + 3. Let x be z(2). Suppose -8*r + x = -2*t - 3*r, -r = -5. Suppose 2*b + 5*d - 782 = 0, -493 = -t*b + 4*d + 1071. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3527500 and 86700.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 69, 185, 369, 633, 989, 1449, 2025?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*s = 8849, 5*s - 19617 = -4*r + 15804. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 + 4*d + 2. Let p be k(-4). Let f be p - (-2 + -2 + 0). Suppose 3*r + 8 = 7*r. Solve -r = -4*a + f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.032335kg to tonnes.\nAnswer: 0.006032335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -147631, -295875, -444119, -592363?\n\"Answer: -148244*j + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 - 218 - 251 = 14*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waaaawa. Give prob of picking 1 w and 2 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/3 + 736*w**2\/3 + 1456*w\/3.\nAnswer: 4*w*(w + 2)*(w + 182)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*i + 8. What is the greatest common factor of i and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 5*f**3\/3 - f. Suppose 4*j = 7*j - 6. Does 10 divide q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 67. Suppose -3*j + j + 44 = -2*u, -4*u = -2*j + t. Let o = 39 - j. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -463 + 470. Solve 4 = -u*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, k: 2, m: 2}. What is prob of sequence mmq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*48\/(-304)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15309\/25, -6, 0.2, 0.4, 0.1 in decreasing order.\nAnswer: 0.4, 0.2, 0.1, -6, -15309\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31\/8 (b) -3 (c) -0.14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/22 + 102\/(-374). Let y(j) = 1. Let t(v) = -23*v - 5. Calculate u*t(d) + 5*y(d).\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 252 = -39*h. Is h at most 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -1\/72, 0.8 in descending order.\nAnswer: 0.8, -1\/72, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -276 - 226?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 10*l**2 + 2*l**2 - 14*l**2 + l**2 to the form u*l + z*l**2 + b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 30) + 8 + (-8 - (-16 + 0))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 2*m - 5. Let s be d(4). Suppose 6 = q + 2. Suppose -4*z - i - 18 = -3*i, -q*i = 4. Put -1, s, z in increasing order.\nAnswer: z, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11121 (base 5) to base 7\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3236?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from woowoowwowowwooowwwo.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**6\/90 - k**3\/3 - k. Let o(r) be the second derivative of x(r). Let n(w) = 2*w**2 - 2*w**2 + 2*w**2. What is n(o(p))?\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y = 145*y - 13 + 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*q - 4. Suppose -w + 0*k + 30 = -2*k, -3*k = -q*w + 178. Calculate the remainder when 111 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(120\/16)*3\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ehvhvevvhhevehvvlvve.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6907?\nAnswer: 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3987*a - 3972*a - 105 = 0. Solve -3*g - i = -a, -g = 5*i + 6 + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -190*o + 6425. Let z(r) = 7*r - 238. Let b(f) = -2*g(f) - 55*z(f). Suppose 31*p - 28*p = -5*a, 4*p - 2*a = 0. Is 20 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 257.1 and 44136455.37.\nAnswer: 44136712.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3 - 60273820*g**2 + 802256321 wrt g.\nAnswer: -6*g**2 - 120547640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 19*t**2 - t**3 - t - 18*t**2 + 0*t - 1 + 2*t. Give w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 2*x + 33)*(-x - 2 - 12 - 9 + 8).\nAnswer: 2*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 = 5*w - 3, -2*m + 5*w - 25 = 0. Suppose 0 = 5*b - 5*j - 50, 3*b - 4 = -b - 5*j. Suppose -l + b*l - 1255 = m. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.2388 times -1165\nAnswer: -9598.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023078 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 28. Suppose 4*m - m + 7 = -4*p, -17 = m + 5*p. Sort d, 2, m in descending order.\nAnswer: d, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1803 + 1803 - 36*u - 3*u + 4*u + u + (-4*u + u + u)*(2 - 4 + 1).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74734435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Suppose -2*y - 2*t + j = -12, 27 = 5*y - 3*t. Calculate the highest common divisor of y and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1362096 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/9 - 8*v\/9 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118638, -118632, -118644, -118674?\nAnswer: -118722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1039293109 to six decimal places.\nAnswer: 0.103929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 4*b + 180 = -29*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10975262 or -54876307\/5?\nAnswer: -54876307\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(64))\/(sqrt(484)*2))\/(sqrt(1152)*-1 - sqrt(1152) - (sqrt(72) - (sqrt(72) + sqrt(72)*2 - sqrt(72)))).\nAnswer: -5*sqrt(2)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uugttatgititgiugtaa. Give prob of sequence tt.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1365 + -1359. What is the smallest value in v, -1\/4, -1\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 22. Let p be t(0). Let f be p\/4*(10 - 12). Let h = f - -55. Calculate the highest common factor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 45*y + 1122. Let l be b(-25). Let r be (-4)\/14 + 100\/7. Let m be (-6)\/21 - ((-1348)\/r - l). What is the highest common divisor of m and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 93.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/94704 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2. Let y(w) be the third derivative of 7*w**4\/12 + 23*w**2 - 1. Determine z(y(s)).\nAnswer: 1764*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 672. Suppose -14*k + 3546 = -h. What are the prime factors of k?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 102 = -338 - 16 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 4 + -1 - -3. Suppose 2*i + g*y = 6, -4*i - 4*y = -y. Let w(v) be the third derivative of v**5\/60 + v**4\/12 + v**3\/3 - v**2. Calculate w(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l + 30. Let n(w) = -2*w + 6. Let g(f) = 2*c(f) - 11*n(f). Let v be g(3). Differentiate -11 + 13*b + v*b + 12*b - 2*b wrt b.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36691*v**4 - 112530 with respect to v.\nAnswer: -146764*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - 2*n**2 - 2*n + 2. Let f be (-3 - 32\/(-4))\/1. Let l(y) = -11*y**3 - 5*y**2 - 5*y + 5. Calculate f*b(h) - 2*l(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 14263290\nAnswer: 14263289.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*i**2 + h*i*p**2 - 4*h*i*p - 2*h*i - h*p**3 + 51*i**2*p**2 - 3*i**2 + p**2 wrt p?\nAnswer: 2*h*i - 6*h*p + 102*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a7 (base 12) to base 9.\nAnswer: -8771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-700))\/((-3)\/(-2)*24\/28).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25 + -9 + 52\/20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 6*s + 6. Give v(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o + 64. Let v be p(-8). Let r = -97 + v. Solve 0 = r*y - 1 + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2534, 2, -93, 0, 5, -4 in descending order.\nAnswer: 2534, 5, 2, 0, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 + -2 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10.2. Let t = 0.6 + o. Put 1\/4, t, 3 in increasing order.\nAnswer: t, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) 1\/4 (b) 3 (c) 0.5 (d) 135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362*i**3 + 17*i**2 - 10 wrt i.\nAnswer: 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 136689*b + 546757. What is o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*(-2 - -1)*9. Let c = -50 - k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/9 - 0)*12. Factor l - 2\/3*z**2 - 2\/3*z.\nAnswer: -2*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (0 - 1)) + 2 - -2. Factor x*p - 18*p**2 + 575*p**3 + 2*p + 8*p**4 - 569*p**3.\nAnswer: 2*p*(p - 1)*(p + 2)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3594, 3597, 3598, 3597, 3594, 3589?\nAnswer: 3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (4 + sqrt(612))**2 + -1 + -5 + -1 + (sqrt(612) + sqrt(17) + sqrt(17) - sqrt(17)).\nAnswer: 61*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 0*o)*(115*o - 106 + 106).\nAnswer: -230*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2637 and 3\/153239.\nAnswer: 1379151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 340*c**2\/3 + 7168*c.\nAnswer: c*(c - 256)*(c - 84)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/3372 and -99\/41588?\nAnswer: 124764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3154, 3004, 2854, 2704?\n\"Answer: -150*b + 3304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p + 32. Let l be p\/6*(-12)\/8. List the prime factors of l\/(-3)*(-27)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -121*w**2 - 33*w + 33. Let c(y) = -15*y**2 - 4*y + 4. Determine 33*c(a) - 4*j(a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1806208600 by -3160.\nAnswer: -571585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**4*x + 72*u**3 + 2*u**2*x**2 - u*x**2 - u - 15*x**2 wrt u.\nAnswer: -48*u**2*x + 432*u + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 143752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24015224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5aca (base 14) to base 2.\nAnswer: -11110111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 4*x - 3. Let b(l) = l + 1. Let z be b(-3). Let d be i(z). Suppose 1 = 2*p - d. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(9\/(-3))\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/153 and 133\/186090.\nAnswer: 9490590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1204 - -1215.892. What is u rounded to one decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339648069 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 3680?\nAnswer: 33120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + -2*sqrt(117)))\/(sqrt(9) - (sqrt(9) + 2*(sqrt(27)\/sqrt(3) + sqrt(9)))) + (sqrt(156)\/(sqrt(972)*2)*-4)**2.\nAnswer: -5*sqrt(13)\/4 + 52\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 8513*z**2 - 2*z**3 + 16806*z**2 + 2*z**4 - 8509*z**2 as g*z**4 + v*z + h*z**2 + x + n*z**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -5491.\nAnswer: 112\/5491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 5 - 5)*(2*z**3 + 2*z**3 + 3*z**2 - 3*z**3) to d*z**4 + b*z**3 + c*z + i + t*z**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11391272 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10816182 divided by -92446.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2, 149, -3, -11628 in increasing order.\nAnswer: -11628, -5, -3, -2, 5, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 749 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 140. Determine v(50).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(175)*1)**2 + -5 + sqrt(49)\/sqrt(7) + sqrt(7) + 3.\nAnswer: 2*sqrt(7) + 4373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -704 + 109*i + 704 + (0*i - 3*i - 12*i)*(-1 - 1 + 4).\nAnswer: 79*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1*(-458)\/2. Let m = -145 + i. What is the common denominator of 62\/5 and m\/(-9) - (-8)\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1\/5 (c) -2\/11 (d) 4 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62 + 0.88. Let m = 1.50000135 - b. What is m rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = 6. Let w(f) = -f**3 + 2*f**2 - f - 2. Let l be w(2). Let z = l + 9. Solve -z*i - 21 = -n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13516 - 2?\nAnswer: 13514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -120, 406 in descending order.\nAnswer: 406, 4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125310 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4177899?\nAnswer: 3, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022051 rounded to four decimal places?\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12498633?\nAnswer: 3, 7, 198391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(132)\/((sqrt(24)\/sqrt(32) - sqrt(12)) + sqrt(12)).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*n + 45, -n + 3*n = -4*z + 28. Solve 0 = -n*x + 20 - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-3))\/(2\/(-3)). Let v be 12\/10*5\/2. Find the second derivative of 2 + t*r**v - 2 + 3*r wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872) + sqrt(1872))\/(-1*sqrt(16) + sqrt(4)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k. Let i(s) = -2*s. Let n(b) = -3*a(b) - 7*i(b). Let q = 2 + -4. Let v be n(q). Sort -3, -1, v in decreasing order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 584, 892, 1208, 1532?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/605397 and 41\/32422.\nAnswer: 35113026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - 7*h**2 - 7*h + 7. Let u(o) = 3*o**3 - 3*o**2 - 4*o + 4. Suppose 13*i - 5*i = -32. Let n(z) = i*b(z) + 7*u(z). Factor n(l).\nAnswer: l**2*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5\/4 (c) 16\/9 (d) -9 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-25))\/(6\/(-20)). Let s = -0.04 + 2.04. Let i = -196 + 196.4. What is the nearest to s in i, b, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -394603 in 4\/5, 0.1, 0.01, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95.6232t?\nAnswer: 95623.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 224770783 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 1.02. Let h = 0.6 + t. Put -0.1, -1\/2, h in ascending order.\nAnswer: -1\/2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099414 rounded to four dps?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 84*v - 37. Is m(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11090 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 22. Let c be r(-13). Let z be (-5 + 12)\/(2\/c). Let o(i) = -i**3 - 12*i**2 + 13*i. Let j be o(-13). Solve -2*n - 4 + z = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q. Let o be 68\/12 + 0 - 4\/6. Let d(z) = -z. Let x(y) = y**2 + y + 12. Let c be x(0). Determine c*d(p) + o*n(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 13. Let r(u) = -3*u - 20. Suppose -6*p = -3*p + 45. Let q be r(p). What is the greatest common divisor of q and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5, 211 = 3*l - 5*m + 3*m. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4974395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11173302 a multiple of 1169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose r = s + 4 - 0, -r - 3*s + g = 0. Put -2, r, -5 in increasing order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 8*f - 8. Let x be ((-2)\/(-3))\/(-2 + (-224)\/(-108)). Let n be -7*(-8)\/x - 28\/126. What is i(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2*y**2*z + 2*x**2*z + 6*x*z**2 + 70*y**2*z**2 + 1 wrt y.\nAnswer: 4*x**2*y*z + 140*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1. Let m = -12 + 13. Let v(w) = -w + 1. Let x(n) = -7*n - 1. Let t(q) = 5*v(q) - x(q). Let s(l) = m*t(l) - 6*g(l). Let u(j) = 2*j**2. Give u(s(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 25. What is a(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -17*c - 15. Let o(l) = -19*l - 16. Calculate -5*o(q) + 6*y(q).\nAnswer: -7*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 6, 0, -3, 1776 in decreasing order.\nAnswer: 1776, 6, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 183\/(-30) - 2\/4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*(-10)\/((-180)\/(-27))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/36 - (-6)\/8\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.67755762 to 2 dps.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157.09 - -154. Let r = -0.09 - z. What is the closest to r in 2, 0.3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 782*a*d**3 - 17*a*d**2 + 4*a*d + d**3 - 5*d**2 + 2*d - 41054 wrt a.\nAnswer: 782*d**3 - 17*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 257\/(-16) + (-7)\/(-112). What is the third biggest value in 4, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlxllllll. Give prob of sequence lll.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 2\/1789 (b) -13 (c) -2\/5 (d) -2 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*p + 851 = 875, -6 = 5*z + 2*p + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 23 = -3. Let l(c) = 19*c - 21. Let b be l(3). Let k be (-4 - b\/(-8))*-2. What is the second smallest value in s, -5, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -529091, -4232750, -14285545, -33862046, -66136823?\n\"Answer: -529095*y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6135 = 3*f, -6*f + 2*f = j - 8185. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) -5 (c) -1\/719 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296*z**4 + 392 wrt z.\nAnswer: 1184*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617956 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10553.807 - -30053?\nAnswer: 40606.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 20 - 95 + 54 + 22. Let h(o) = -16*o + 10. Calculate 2*h(f) - 20*q(f).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534 + -4?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 4. Let o(m) = -12*m + 15. Let b(s) = 15*d(s) + 4*o(s). Let w(u) be the first derivative of 4 + 1\/3*u**3 + 0*u + 0*u**2. What is w(b(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + t + 159 = 0, -12*t - 339 = 2*b - 17*t. What is the smallest common multiple of b\/90*20\/(-6) and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 at least as big as 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 0.5, 5, 5487?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1237830 and 936177.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1138 = 6*z - 8*z. Let d = -120 - z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r + 8. Let d(j) = 41*j - 15. Let c(p) = -298*p + 104. Let s(x) = -2*c(x) - 15*d(x). What is -13*g(u) + 6*s(u)?\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2483598790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*m - 14 = 2*k, -2*k + 4*m = -16. Suppose -5*s = k*s - 45. What is the third derivative of d**s - 33*d**2 + 33*d**4 - d**3 + 37*d**2 wrt d?\nAnswer: 792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 3*c - c + (3*c - 5*c + 3*c)*(-22 - 17 - 3) - 2*c + 0*c + c + (4 - 2 - 1)*(2*c + 0 + 0).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, -1, 0.2, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*m + 13 = s, 2*s - 4*m - 22 = 0. Let i(z) = -5*z**3 - 3*z**2 + 3*z + 3. Let t(h) = -6*h**3 - 4*h**2 + 4*h + 4. What is s*t(w) - 4*i(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 + -0.09. Let j = 4.3 - 4. What is the nearest to 0.1 in f, j, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -3*v - v. What is the remainder when v is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -673144710*t**2 - 13177813*t wrt t?\nAnswer: -1346289420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 63, 79, 79, 57, 7, -77, -201?\n\"Answer: -i**3 + i**2 + 30*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -337, -454, -369, -82, 407, 1098?\n\"Answer: 101*r**2 - 420*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1115)\/(-36795)*66\/54\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-30) - 733\/(-5). Let w = -38 + 59. Calculate the greatest common factor of u and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from oxooxoxoooxxx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a8 (base 14) to base 9\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3272 - -3325. Calculate the least common multiple of 477 and s.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.4, -3, -2, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8071*t + 8180*t - 27 = -5*i, -5*t = -5*i + 255 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 40, 45, 50, 55?\n\"Answer: 5*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*q = -1919*q - 3045 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*i**2 - 64 + 4 + 52.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3*p**(-3\/4)\/p)\/((p*p*p**(-4)*p)\/(p*p**3)))\/((p**1*p)**(-15)*p**(1\/5)\/p**(2\/11)) assuming p is positive.\nAnswer: p**(7971\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = -j, 5*g + 6*j - 22 = 2*j. Solve g*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 18 + 2. Suppose p - 3*i = 10, -2*p = i - 0 - 6. Suppose -5*k - 2 = 4*z, 2*k - p*z + 10 = -z. Put k, l, -1 in increasing order.\nAnswer: l, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741221\/24656 + (-2)\/32.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9230 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 5*m + 77, -f - 2*m = -33. Suppose 35*v - f*v - 54 = 0. Solve 4*c = 5*r + v, -5*r - 30 = -3*r + 5*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 - 23 = 64*a - 71*a. Solve a*s = 18*s + 6 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16440650 and -63\/1644065?\nAnswer: 16440650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36501 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11647 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 569918 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/93010895 and -89\/577110.\nAnswer: 558065370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -5*s - 506. Calculate the greatest common divisor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*(-14)\/63.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 11*p - 10*p + 23*p - 30 = q, 0 = 65*q + 5*p + 215 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykl when three letters picked without replacement from xklwkklwykkkxlwy.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {f: 5, m: 2, q: 4, o: 2}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1539)*-1.\nAnswer: -9*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45532 is divided by 45530.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 34 = -50*y - 197, -2*y = -390*x + 392*x + 46 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - q**2 + 4. Let k be p(0). Let g be (k\/3)\/(-6 + 3 - -7). Factor 0 - 1\/3*c**3 + 0*c + 1\/3*c**5 + g*c**2 - 1\/3*c**4.\nAnswer: c**2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kka when three letters picked without replacement from klkllakaklll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 20*q**2 - 15*q + 11. What is the tens digit of c(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2304 (base 5) in base 15?\nAnswer: -16e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*w**2 + 2)*(3 - 2 - 3) + 6*w**2 - 2*w**2 - 2*w**2 + (10 + 2*w - 10)*(-18*w + 30*w - 20*w)*(3 - 2 - 3) to d + m*w + s*w**2 and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Suppose -14 = -l + f + d*f, -4*l = -f - 56. Let x(y) = y + 12. Let u be x(-10). What is the highest common divisor of l and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 252 - 66. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72447546?\nAnswer: 2, 3, 83, 145477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 5*s**4\/16 - 15*s**3\/4 - 25*s**2\/4 - 38. Factor y(g).\nAnswer: 5*g*(g - 10)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213212 + -11?\nAnswer: -213223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-100.9\nAnswer: -40.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a7 - -7?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86507366 to the power of 1\/2, to the nearest integer?\nAnswer: 9301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -2\/5, 677 in ascending order.\nAnswer: -1, -2\/5, -0.1, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 24. Let r(u) = -u**3 + 11*u**2 - 9*u + 7. What is the tens digit of r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((99000\/80)\/(-55))\/(-21*6\/(-24)).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:21 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63167 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 0*a - 18 + 13*a**2 + 6*a - a**3 - 2*a. Calculate the remainder when (2\/(-4))\/((-3)\/126) is divided by b(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797153 is divided by 797150.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 360543697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfwf when four letters picked without replacement from {w: 1, x: 2, f: 2, r: 1, d: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -18.01?\nAnswer: 2.3413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**3 + 221. Let w(d) = 28*d**2. Give y(w(r)).\nAnswer: -4704*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**6\/360 - z**5\/20 + 3*z**4\/8 + 4*z**3\/3 - 6. Let h(j) be the third derivative of m(j). Factor h(i).\nAnswer: (i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -a - 0*a + 5, -m = -4*a - 16. Let h(n) = -m + 9*n + 20*n - 33*n. What is h(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/60 + h**5\/15 - h**4\/12 + 15*h**2. Let o(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -22310?\nAnswer: -22321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoao when four letters picked without replacement from {a: 2, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*l - 0*l - 23, 2*g - 2*l + 6 = 0. Let r be (-52)\/(-13) + g*-15. Let k be 15 + r - (1 + -2). Let c(u) = 5*u - 4. Give c(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 4:49 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 22 = -3*l - 4, 0 = -3*l - 2*m. Let 0*f - 2\/5*f**l - 2\/5*f**3 + 0 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3514816962771 from -2.\nAnswer: -3514816962773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*c = -4*v - 3722, 7504 = 2*v + 5*c. What are the prime factors of v?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411494 by -1.\nAnswer: 411494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.492 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4513*y + 4545*y - 992 = 0 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3*w**4\/2 - 7*w - 9. Find the first derivative of q(b) wrt b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 17\/3 (c) 0.3 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -13*h - 7. Let p(d) = -d**2 + 3*d + 3. Let i be p(3). Let b = i - h. Calculate the greatest common divisor of 80 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-350)*114\/9. Let g = w - -412\/315. Factor -g*j**4 + 0*j**3 + 0*j + 0 - 2\/9*j**5 + 0*j**2.\nAnswer: -2*j**4*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/5 + 75744*x\/5 + 717144192\/5 = 0 for x.\nAnswer: -18936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -11. Let j = 678.05 - 670. Let s = n + j. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + v - 7 = 2*l, 0 = v + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 = r - 5*r, -2*r + 3*j = -8. Solve 17 = -4*k + r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 5. Let p be w(5). Let o = 13 + p. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 375 divided by 125\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -517*b**2\/2 - 3*b - 8. Let z be c(1). Let a = z - -917. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*k - 76, 142 = n + 4*k + 110. Solve -5*l = -4*h + n, -5*l + h = -2*l + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2804 - 2804.07726. Round v to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-10))\/((-2)\/20). What is the hundreds digit of 2 - (o + -15)*13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*s**3 - 4468*s**5 - 10*s**4 - 6 - 70*s**2 + 6 - 15*s + 4483*s**5 = 0. What is s?\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/8 - (-1)\/4. Let x be 4\/12*(-1 + 16). Let o = 4 - x. Is n > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30698 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 + 3606*l + 21564 = 0. Calculate l.\nAnswer: -1797, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:26 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21807104389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/q**9)\/q**(-2\/5))\/(q**(-2))**(-2\/33) assuming q is positive.\nAnswer: q**(-779\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -8.3. Let r = -5.8 - i. Let b = r + -1.68. Round b to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4 - 24984*t**3 - 325308*t**2 - 1001296*t - 901296 = 0.\nAnswer: -9, -2, 6259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 576271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -14\/2425765?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Suppose 5 = -v*k + 4*q, -2*q = -4*k + q - 2. Let u be 1\/3 - k - -1. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 59042136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63448\/(-4))\/(-206)*(-2)\/((-2)\/(-1))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.969029 rounded to three dps?\nAnswer: 0.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 3. Let b be l(3). Suppose -b = -r + 3*r. Let p be 1\/(((-9)\/39)\/r). What is the highest common factor of 91 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, 52.75, 3 in ascending order.\nAnswer: -329, 3, 52.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -26. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 5*h**2 - h - 9. What is t(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 174887185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 12db47e?\nAnswer: -12db47f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 + 8\/3*k**3 - 1\/2*k**2 - 3*k. What is the units digit of q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/36 and 222\/132*(-2)\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 24. Let k be ((-62)\/(-10))\/(-1)*(6 + -11). Suppose -k = 9*n + 59. What is the smallest common multiple of 12 and w(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2 - 2)*(6*g**2 - g**2 - 3*g**2) + (g**3 + 3*g**3 - g**3)*(3 - 1 - 3).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 + -1?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(48) - (sqrt(52) + 0 + 1) - (-3*(sqrt(130) - -2*sqrt(130)) + sqrt(130) - sqrt(130))\/(2*sqrt(360)))**2 + 5)*1.\nAnswer: 3*sqrt(13)\/2 + 213\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20953.\nAnswer: 23, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**3 - 5*n**2 - n + 5. Let p be z(-4). Factor -3*j**2 - p + 3*j + 441.\nAnswer: -3*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - 0.1. Let a = 3.199958 + i. Round a to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q = -46*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3 - (-15 + 6)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Let i be (-54)\/10 + 2\/r. Let f(n) = -n**2 - 4*n + 5. Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -510, -1018, -1514, -1998, -2470?\n\"Answer: 6*z**2 - 526*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36725324039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 404\/(-34)*1 - (-2 - 2) - 186\/1581?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 >= 12\/5813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(162) + -2)**2.\nAnswer: -126*sqrt(2) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -296 in 0.3, 3, -0.07, 2\/5, -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from hehyuoeyhuhuzhouyhzy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8513*6\nAnswer: -51078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1982, 1977, 1976, 1979, 1986, 1997?\nAnswer: 2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -11. Let o be (-1)\/(2\/8) + (-84)\/(-12). Let b = 10\/3 - o. Sort 2\/19, b, q in descending order.\nAnswer: b, 2\/19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 921 = 5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2329.000005652 + 2329. What is j rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let h(l) be the second derivative of -l**5\/60 - 7*l**3\/6 + 2*l. Let f(k) be the second derivative of h(k). Give f(v(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.5, -16, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 220*p + 195*p - 2*p**2 - 2*p**2 + 4*p**2 + 28*p**4 as n*p**2 + o*p**3 + s*p + v*p**4 + u and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*n + 27811 = -120*n + a, 3*n - a = 20860. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 4033.54, -1\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10968 and 1536?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**4 + r**4 - r**4)*(2 - 7 + 3) + (0 - 2*r + 0)*(3*r**3 - 5*r**3 - 2 + 2*r**2 - 3*r**2) to n*r**4 + y*r**2 + f*r + k*r**3 + d and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(891) - (sqrt(11) + (sqrt(77)\/(sqrt(7)*-1))**2).\nAnswer: -11 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -13*x - 72. Let n be (-10)\/55 - (x\/33 + 1). Suppose 0 = -2*y + y + 11. Calculate the greatest common divisor of n and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 + b - 1. Let r(a) = 2*a**3 + 3*a. What is o(i) - r(i)?\nAnswer: -i**3 - i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 176 = 4*s, -15 - 73 = -2*s + f. Let p(z) = z**3 + 6*z**2 - 3*z + 5. What is the remainder when s is divided by p(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*d - 112*d = 36. Let m(f) = 13*f**2 + 3*f. Let r be m(-2). Suppose 2*l + r = 2*b, -3*b + 0*b + 29 = 5*l. Solve d*c - b = -3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*k - 54 = -55, 5*k = -5*i - 5. Which is the second biggest value? (a) 2 (b) i (c) -4\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**2 + 2*h - 24. Let f(g) = 6*g**2 + g - 24. Let d(b) = -2*f(b) + 3*q(b). Calculate the remainder when d(3) is divided by 9*-3*8\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -332*h**3\/3 + h**2\/2 + 1544*h + 1155. What is the second derivative of a(n) wrt n?\nAnswer: -664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 q when four letters picked without replacement from nddxddnqndqqyd.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*z + 3 - 9, -3*z + 5*m - 4 = 0. Suppose -3*r + 11 = z, -4*w + 5*r = -257. Let q = w + -37. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - 0 - 74\/(-4))*-2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21676 - -21960. Are 287 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1282075 - 7727803\/6. Let t = 5912 + d. What is the common denominator of t and (4 - (-108)\/(-40))*-9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -443\nAnswer: 108\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2 + 7*o + 21. What is p(-3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 9. Suppose 0 = f - 5*v - 14 - t, 0 = -f - v - 1. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - 10*k - 2. List the prime factors of r(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:15 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3483011 divided by 204883?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 734230 and 168980?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95346751 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s*s**(26\/3)\/s)\/s*s))\/s*s**22\/s assuming s is positive.\nAnswer: s**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-3\/5)\/r)\/r))\/(r**(-2)*r*r))**16 assuming r is positive.\nAnswer: r**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19 + 16)*(2 + 0). Let s(d) = -2*d - 2. Let c(r) = r + 1. Calculate i*s(v) - 13*c(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**3 - 5*r**2 + 2*r + 0*r**2 - 98*r**3 wrt r.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -587 + -15?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13*o = -40. Calculate the remainder when 9 - 0\/(-1*1) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = -j + 3441, -2*o + 3*j + 1703 = 0. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3. Let q be h(-7). Let s = 16 - q. What is the remainder when 9 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o + 2*s - 19262, 24073 = 5*o + s. What is the greatest common divisor of 232 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 3, p: 11}. Give prob of sequence pxpr.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 divided by -101?\nAnswer: 3010\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1100\/(-275)*2\/(-68).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 40?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/(d**(4\/15)\/d)*d**(3\/4)\/d**(2\/15))**(1\/25) assuming d is positive.\nAnswer: d**(-13\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/26*(0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {o: 8, f: 1, q: 2, s: 1, w: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2252278635 to the nearest one million.\nAnswer: -2252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1789 and 39\/2.\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-42)*(-54)\/3)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -13) + 26 + -31.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 - 323 = 13*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -8*o**5\/45 - 761*o**4\/18 + 2684*o**3\/27 - 385*o**2\/9 - 128*o\/3 + 1137. Let d(t) = 0. What is t?\nAnswer: -192, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(sqrt(190)*1 + sqrt(190)))\/(sqrt(90)\/sqrt(225)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/31040 and -25\/6.\nAnswer: 93120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8496272718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 339523620*o**3 + 339524031*o**3 - 11.\nAnswer: 411*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 + 152.1. What is the nearest to p in 1\/4, -13\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -40, -52, -64, -76, -88?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:04 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(1\/2))\/i))**(3\/5))**28 assuming i is positive.\nAnswer: i**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*l**4*v**3 - 161*l**3*v**3 - l**3 - 23*l**2*v**3 - 3*l**2*v**2 + 2*l**2*v + 3*l wrt l.\nAnswer: -912*l*v**3 - 966*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-20))\/(24\/(-60)). Let h(k) = -5*k + 1. Calculate h(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 4) + -7 + -76 + 56.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 1091, 2452, 4415, 7022, 10315, 14336, 19127?\nAnswer: 24730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-4)\/4) + -3. Let z be 4 + (s - 0) - -1. Solve z*i + 2 = -q - 9, 0 = -4*q - 2*i - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/1*(-2 - -3). Suppose m = -4*m + c. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.15 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)\/z)**(3\/10)*z**(-1\/7)\/z**(-1\/11) assuming z is positive.\nAnswer: z**(-659\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -206897\/5 >= -41380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 598, 1287, 2230, 3421?\nAnswer: 4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 52*g**2 - 4.\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -0*u - 3*u. Let q = u + -35. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t\/t**(-3\/2)*t)))\/t)\/(t\/t**(-18)*t)*t**(-41)*(t\/t**(1\/31)*t)\/t assuming t is positive.\nAnswer: t**(-3505\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 196.16, -3, 14, -0.3?\nAnswer: 196.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 672880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 - -b?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -16. Let t = -23.3 + u. Let h = 1 + -1. Which is the closest to h? (a) 3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -63. Suppose 2*v - 8 = 2*d - 0*d, -t*v + 28 = 5*d. Suppose 5*u**4 - v*u + 8 - 5*u**3 + 2 - 15*u**2 + 11*u = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7264 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310250 + 595351. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27132974 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1801993417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -214, -300, -378, -448?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 22 (b) 0 (c) -0.06 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 7571765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99176491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/3)\/a*a)\/(((a**(-3\/5)*a*a)\/a*a)\/a)*a**(-3)*a*a**(-2\/23)*a*a)\/((a*a**(-3))\/(a*a**(-2\/15))*a**(-2)*a**(1\/3)) assuming a is positive.\nAnswer: a**(312\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 s when three letters picked without replacement from hvrhsv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -6, -3\/14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -13 + 21 + -14 + -24 + -4\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 3, d: 3}. What is prob of sequence dd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3488\/7399 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27209 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3151*a**3 + 253*a**2 - 253*a. Let v(x) be the third derivative of -5*x**6\/24 - x**5\/30 + x**4\/12 - 1866*x**2. Give 2*n(q) + 253*v(q).\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2. Suppose -4*z = 4*n + 40, 4*z = -11721*n + 11719*n - 30. Let u(p) = 0*p - p + 0 - 4. Calculate z*h(g) - 2*u(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -53 (b) 2\/23 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2238407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1534839?\nAnswer: 1534839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3664, -817, 4.\nAnswer: -817, 4, 3664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuoouuoouo. What is prob of picking 2 u and 1 o?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 8048716088?\nAnswer: -8048716088.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -127, -194, -263, -334, -407, -482?\n\"Answer: -p**2 - 62*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113.953 + -114. Let t = u + 0.047001. What is t rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1754 + 1230. Which is smaller: -525 or h?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4257*n*v*z**3 + 2*n*v*z**2 + 2*n*v*z - 27*n*v - 71*n*z**3 - 427*n + v*z**3 - 2*v*z**2 wrt z?\nAnswer: -25542*n*v - 426*n + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 2*h - 5. Let j be n(-3). Let i = 19 + j. What is the highest common factor of i and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*c + 154*c - 8 = 0. Let i(o) = o**3 + o. Let t be i(0). Suppose 5*k + 9 - 34 = t. Calculate the highest common factor of k and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 7 - q + 31*q)*(0 + 1 + 2*q**3 - 4*q**3) in the form c*q**2 + t*q**3 + a*q**4 + z + m*q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4936380 and 5676837.\nAnswer: 113536740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4) + 0 + -1 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -74. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216036 (base 7) to base 12\nAnswer: 1a070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8 less than -14285.64?\nAnswer: -14276.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*l - 15 - 0, 0 = -4*f - 4*l + 52. Suppose -z + f = 3*z. Suppose c = 3*c. Solve -2*i - i + z = c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -696*y - 66. Let d(a) = -87*a - 8. What is -33*d(f) + 4*i(f)?\nAnswer: 87*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from {e: 2, d: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.167*-264.\nAnswer: -836.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 3, y: 3, m: 1, a: 1}. What is prob of sequence am?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -1\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*4\/8*-1. Solve 2 = a - i*s, 2*s - 4*s = 5*a - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4526*k + 8240*k - 485108 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 17, 21?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 27 = -33. Suppose -163 = -5*f - 3*l, -2*l + 156 = 5*f - 6*l. Let k = f + -27. Solve -13 = k*b + d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105, -129, -143, -141, -117?\n\"Answer: c**3 - c**2 - 28*c - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 - 1970*j - 1965 = 0. Calculate j.\nAnswer: -393, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/24 + (-26)\/248 and -52\/9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 8*w + 10. Let n be c(7). Suppose -8*f + 104 - 88 = 0. Solve 0 = -f*d - d - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065711 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) 1\/8 (b) -3\/7 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - 152\/(-7). Let v be j - (20\/5 + -5). Solve 0*i - 5*i + v = z, 4*i = -3*z + 25 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*(-17 + 9 + (14 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let q = 175820 - 175820.5. Let o = 1265\/7 - 181. Which is the nearest to 0? (a) n (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*x**4 - 344*x**3 + 4358833*x**2.\nAnswer: -3336*x - 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5564 = 2*j, -5500*j - t = -5495*j + 13949. Is j at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3464, 6930, 10394, 13856, 17316, 20774, 24230?\n\"Answer: -u**2 + 3469*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(51) - -3*sqrt(51)))\/(sqrt(75)*-1 - sqrt(75)) - -4*(((sqrt(1088) + 0 + sqrt(1088))*1)**2 + (1 + sqrt(1088))*3).\nAnswer: 94*sqrt(17) + 17420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 2*r**2 + 3*r + 2. Let h be a(-1). What is the third smallest value in 2, -0.05, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3168861 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/47 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l - 4. Suppose q - 2*o - 2*o - 2 = 0, -2*q = 2*o - 54. Let z = q - 19. Is k(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 1075519.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 8, d: 2}. Give prob of picking 1 x and 2 y.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.23 - 2.4. Let i = r - 0.18. What is i rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 1469*w - 27569. What is q(-19)?\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 72 = 8. Let s = j + -7. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let p(b) be the second derivative of -4 + 0*b**2 - 20*b + 0*b**3 + 23\/12*b**4. Calculate p(m(q)).\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10726719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177 + 117. Let i = -1 - t. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, e: 2, d: 2, l: 2, t: 3}. Give prob of sequence le.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11218, -11219, -11220, -11221?\nAnswer: -11222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1806 and -191\/218064?\nAnswer: 9376752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 81517654 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(48)\/sqrt(6)))**2 + 5 + (-1 + sqrt(13))**2.\nAnswer: -2*sqrt(13) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 155. Let d be (22 + w)\/((-3)\/2). Is (53\/(-4))\/((-5)\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2423200 - -2862.522.\nAnswer: 2426062.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -974*d - 9455 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 3. Let w be l(-2). Suppose -5*v = -6*v + 6. Suppose -v*m + w = -m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + a**2 - a**2 + (a**3 - a**4 - a**3)*(2 + 7 + 0)*(7 - 6 - 10).\nAnswer: 83*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -49. Suppose 11*a - i = -3*a. Solve 4*m + a*b + 30 = 0, 2*m - 3*b = 2 + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -62750*d + 1506017. Give o(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 31*x - 10. Let i be v(-10). Let h(f) = 68 + 26*f + 66 + 66 - i. Let m(b) = -12*b. What is m(h(t))?\nAnswer: -312*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6627, -26510, -59649, -106044, -165695, -238602, -324765?\n\"Answer: -6628*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*o + 50*o + 19438657. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124006204 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 19*r**2 + 10*r - 6. Let z be c(9). Solve 2*n + 20 = -4*u, -5*u + 0*n = z*n + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*j + 2*j - 5*i, -2*j = -4*i + 12. Suppose 12*r + 4*r - 64 = j. Which is the closest to -1? (a) -0.2 (b) r (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -4, -63293, 4 in descending order.\nAnswer: 174, 4, -4, -63293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 4. Let u be w(3). Solve r = u + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4\/333, 5.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4 = -2*y. Suppose -5 = 2*r + y, 3*r = -2*q - 1. Suppose -q*t + 3 = p, 0 = t - p - p - 12. Solve 2*v = 5*g + 31, 4 = -2*g - t*v - 0*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 929, 2088, 3711, 5798, 8349?\n\"Answer: 232*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 2 - 2*o**2 - 11*o**3 + 18*o + 11*o**3 in the form b + q*o**3 + n*o**2 + x*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-4 + -3 + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 3 + 0*u**2 - 26*u - u**4 + 22*u + 2 in the form n*u**4 + q*u**2 + f*u + i + k*u**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 14080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:20 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2331, -4644, -7029, -9522, -12159, -14976?\nAnswer: -18009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4397883 to the power of 1\/2, to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89, 46, 1, -46?\n\"Answer: -q**2 - 40*q + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Suppose 0 = -0*d - 3*d + o*q - 3, 0 = q - 3. Is d*(7 - 4 - -6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -28) + (-2 - (-8 - (2 - 3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1002, 1001, 1000, 999?\n\"Answer: -q + 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 2*a, 0 = 3*f - 4*a. Suppose 3*h + f*h = 0. Suppose -3*x - 4*w + 40 = h, 2*x + 4*w = -w + 29. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 7 + 4*l**2 - 10*l - l**3 + 2*l**2. Let z(c) = c**2 - 5*c - 7. Let x be z(5). Let t be d(x). Solve 3 = 3*j, -t - 1 = -4*g + j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 367\/1018996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 7*t - 4 - 3 - 7. Suppose 4*h - 176 = -64. Let n be (h\/(-35))\/(2\/10). Let i(d) = 3*d + 7. Calculate n*l(w) - 9*i(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16.38 * 0.055\nAnswer: -0.9009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 81?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5486322137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12820 + -12820. Solve 14*h - 9*h = k - 10, 3*h + 9 = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + b = -28, 0 = -5*f + 2*b + 137. Solve -4*n - 6 = -2*m, -4*m - 9*n + 4*n = f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 12\/1663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119332268 to the nearest integer?\nAnswer: 10924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.10066 rounded to two decimal places?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 2)*(0*w**3 + w**3 + w**3) - 87*w**3 + 22*w - 28039182*w**2 + 28039182*w**2 as d*w**2 + v*w**3 + a*w + l and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -5*q**6\/6 - q**4\/2 + 20*q**3 - 17. What is the third derivative of u(f) wrt f?\nAnswer: -300*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -138.8437\nAnswer: 138.7437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 237562957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 95 - 187 + 192 = 0 for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1410 divide 30372453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1702 divided by -6\nAnswer: -851\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -48489 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:38 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:52 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 997.6821 nanograms?\nAnswer: 0.0000009976821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565216.\nAnswer: 2, 41, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -7*r**3\/27 - 11*r**2\/9 - 16*r\/9 + 587. Suppose d(y) = 0. What is y?\nAnswer: -2, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5847?\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(-1 + 95\/75). Let u = v - -139. Put u, -5, -4\/5 in ascending order.\nAnswer: -5, -4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:35 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -5*r - 18*l + 24, -r + l + 6 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 - 527*m - 2777. What is x(-68)?\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9605155*n - 28815473. Calculate f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1183 = 2*w, -3*g = -6*g - 5*w + 1211. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*u - 7110 = 6140 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 48. Calculate the remainder when 41 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 906*y + 9. Let j(g) = g**2. What is s(j(i))?\nAnswer: i**4 - 906*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 5, -2 in increasing order.\nAnswer: -2, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/3 - 508*a - 7570\/3 = 0. What is a?\nAnswer: -757, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -230299 divided by -589\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-420)*(-4)\/6*1. Let q = 37\/45 + o. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 850 and 595.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*p - 64, -4*p = 3*t - t - 76. Let y = 30 - 12. Calculate the least common multiple of y and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p - 12*p + 10*p**2 - 13*p.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**5\/20 - x**3\/3 + 46*x. Let a be z(2). Suppose 785 = a*h + 117. List the prime factors of h.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293 minus -0.721552?\nAnswer: -1292.278448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/(-96)*1128\/(-1974).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from cwcstwtwstttctw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 868.51 - 31181647.\nAnswer: -31180778.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-1)\/(-3). Suppose b*h - 3*h = -6. Let f(c) = c**2 - 3*c**h + c**2. Let d(i) = 3*i. Calculate d(f(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24542 - 1\nAnswer: 24541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101328241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2790 + 2797. Suppose 0 = -j + 5*j + 8, 0 = -4*m + 3*j + 22. Calculate the lowest common multiple of w and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o + 5*o + o**2 - 5*o - o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/219744)\/(48\/(-216)))\/((-2)\/8)\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-248)\/2046)\/(10\/(-11))*(-25)\/30*4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3, 0 = r + 52*t - 47*t - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 12*p**2 - 175*p - 1483. Give k(-9).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 16 = -88*p. Calculate the remainder when (-1 + -40)\/(4\/(-4)) is divided by (-9*4\/(-21))\/(p\/28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*b**4 + 84208*b**3 + 387748*b**2 + 135024*b - 606960 = 0. Calculate b.\nAnswer: -18\/5, -2, 1, 4215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -149, -201, -231, -233, -201?\n\"Answer: q**3 + 2*q**2 - 81*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 9*s - 10. Let r be k(4). What is the highest common factor of r and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 10, -f + 5*z + 14 - 3 = 0. Let s = -6 - -15. Suppose -3*n = -4*t - 2, 4*n = t - n + s. Calculate the remainder when f is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8781608 >= -8781609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*l**6*s**3 + 5279*l**6 - 1963*l**2*s - 42*l**2 - 5*l*s**3 wrt l.\nAnswer: 1200*l**3*s**3 + 633480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - y - 12. Let b be h(-4). Which is bigger: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -247.2 + 317. Let t = -1.8 + y. Is t smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149*b - 148*b + 297*b - 324*b**2)*(-2 + 3 - 2).\nAnswer: 324*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 2. Let n(p) = -3*p - 9. Let c(w) = -2*n(w) + 9*x(w). Let f(m) = m. What is c(f(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 2058.\nAnswer: 53508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00202224249 rounded to 7 decimal places?\nAnswer: -0.0020222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00428208 times -0.3?\nAnswer: 0.001284624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -27*b**2 + 135*b + 273. Calculate a(-2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 11. Let c = 2.745 + -0.045. Let u = y + c. Is -2 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66778 and 13303008.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98710\/59189 - -256\/157. Does -0.1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 1, b: 3, r: 2, y: 4, l: 1}. Give prob of sequence rb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 8*h**2 + 6*h**2)*((-5 + 4 + 0)*(h**2 + h**2 - h**2) - 4*h**2 + 2*h**2 + 4*h**2).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 7*s - 9. Is r(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t**2 - 2*t - 2. Let p = -27 + 24. Let l be r(p). Suppose -3*f = 22 - l. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -997\/3 - -2990\/9. What is the third smallest value in l, 482, 1?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + 6*sqrt(11)*-2))**2*-1.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3\/7 (b) 6.2 (c) -403 (d) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:12 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 1. Let q be y(-1). Let c(b) = 9*b - 32. Let r be c(7). Suppose -21 = -34*x + r*x. Solve -x = -q*g - 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 = 3367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = 2. What is the third derivative of -4*v**2 - 10*v**3 + 17*v**3 + h*v**2 wrt v?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q**2. Let m(j) = -1491027*j. What is u(m(h))?\nAnswer: -28901099691477*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -2*n**2 + 313*n - 313*n + 4. Let l(v) = 2*v**2. Give l(p(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 5. Let v = 0.7 - 0.9. What is the second smallest value in s, -5\/2, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 1, t: 2, g: 3, h: 1, y: 3, j: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -11 + -7 - (-4 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 85598*v**3 - 916091158*v**2 - 4578316090*v.\nAnswer: -2*v*(v + 5)*(v + 21397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482532.\nAnswer: 2, 3, 79, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10 + 108*i - 54*i - 53*i. What is z(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 685*s**2 - 695*s + 10 = 0.\nAnswer: 2\/137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -23)*7 + (-28 - 7)\/5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26141975 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20c13 (base 15) in base 12?\nAnswer: -50200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2465693*u + 16313221?\nAnswer: 2465693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*d = 69370 - 57306 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1254770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 3451788363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 4 + 333995\/(-90). Let a = 3709 + w. Find the common denominator of a and 9 + -6 - 338\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a day in minutes?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 11 = -s, 30 = -5*s - 2*j - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -63 and 405 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 19 + 2*o**4 + 11 + o + 10 to r*o**4 + d + l*o**3 + g*o + i*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -81*c - 78. Let w(b) = -5*b - 5. Let a(p) = -2*u(p) + 33*w(p). What is the remainder when a(-9) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 3. Let c be n(-3). Suppose -5*p = 2*b - 130 + 32, c = -2*b + 8. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -40 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 f when four letters picked without replacement from ziqiiifzziifr.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 - 22 - 89*-1. Let u = -79 + v. Suppose -u*g + 4*g = -28. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 44*u**3 - 8*u**2 - 8*u - 8. Let d(y) = 15*y**3 - 3*y**2 - 3*y - 3. Let s be 11\/(-44)*12*1. What is s*w(a) + 8*d(a)?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o - 1. Let h be i(-1). Let r = h - 4. Suppose -4*q + 72 = r*z, -3*z + 2*q + q = -36. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**2 + 3005*y**3 - y**2 - 28*y + 3*y**2 + 19*y + 12*y - 794 wrt y?\nAnswer: 18030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -22, -4, 6, 58.\nAnswer: -22, -4, -3, 0, 6, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q. Let u be k(-2). Suppose 8*b - 4*b - u = 0. Let o(x) be the third derivative of -x**4\/24 + 4*x**3\/3 - 45*x**2. Give o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = m + 7, 2*m - 2*v + 21 = 5*m. Suppose m*b - 56 - 199 = 0. Calculate the highest common factor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -22*m**3 - m**2 + m + 1. Suppose 6*h - h = -5. Let w be n(h). Solve 5*y + 3*q + w = 5, -4*q - 10 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6000960 divided by 224.\nAnswer: -26790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 10*o + 5*j, 36173590*j = 36173595*j - 5 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13\/(-26)*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1929178mg in kilograms?\nAnswer: 0.0000001929178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c\/(c\/c**(2\/9)))\/c)\/c)\/c)**(-4\/15))**(16\/9) assuming c is positive.\nAnswer: c**(1024\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 51?\nAnswer: -19\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -797854900 rounded to the nearest one million?\nAnswer: -798000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23654 + 7347 = 2*f - 3*k, -f - 5*k + 15494 = 0. What are the prime factors of f?\nAnswer: 11, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.4 (c) 1770\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -1 + -8 + 8 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 - 95. Calculate the remainder when (-2)\/(-10) + 126\/m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let j(b) be the third derivative of 0 + 2*b**2 + 0*b**3 - 5\/24*b**4 + 0*b. Determine u(j(h)).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 18*a**2 + 9*a + 167. Calculate u(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from {p: 3, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057276 rounded to 5 decimal places?\nAnswer: 0.00573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1434 + -130355?\nAnswer: -132233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1002010553 + -21?\nAnswer: 1002010532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*l - 23009, -l + 706 = -2*d - 5041. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11))**(4\/21)\/(i**(-2\/13)*i\/i**(1\/9)) assuming i is positive.\nAnswer: i**(-6310\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 620383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3843, -13 in ascending order.\nAnswer: -3843, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167e (base 15) to base 6.\nAnswer: 34232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-3)*(2006\/(-68) - -31)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**3 - 2*w + 1. Let n(a) = -21*a - 7. Let r be n(-2). Let s be 2\/4 + r\/14. Let d be (-4)\/12*s*-1. Determine b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5302120.\nAnswer: 2, 5, 41, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 190155846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1529048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2646, -12591, -39536, -91977, -178410, -307331?\nAnswer: -487236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 187?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*j + 367 - 409 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 5. Let u(g) = g**3 + 2*g**2 - 2*g - 2. Suppose 4*l - 8 + 20 = 0. Let t be u(l). What is the tens digit of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110450?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14444)\/(-6280) + 3\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-18)\/96)*4638003\/(-4). Suppose -3*g = 3*j - q, 2*g + 5*j = 3339429 + 9028591. What is g rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/120 - k**5\/20 - k**4\/12 - 2*k**3\/3 - 10*k**2. Let u be c(-4). What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*i - 13 = 0, -5*p = 2*i + 2 - 7. Suppose -31 = r - 3*o + 2*o, 93 = -p*r + 2*o. Let h = 45 + r. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/173, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2563*j**3 + 11*j**2 + 18*j - 15. Let h(m) = -1281*m**3 - 6*m**2 - 10*m + 8. Give -6*g(l) - 11*h(l).\nAnswer: -1287*l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = 3. Let f(m) = -4*m**2 + 0*m**2 - 7*m + q*m**2 + 8*m. Let y(t) = 7*t**2 + 20*t + 21. Let w(n) = 4*f(n) + y(n). Factor w(o).\nAnswer: 3*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 6*b - 47. Calculate k(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d, 3*k + 6*d - 4*d = 4323. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 877*d + 8. Let t(r) = -r**2 + 438*r + 3. Give 2*h(u) - 5*t(u).\nAnswer: -u**2 - 436*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9491 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**3 + 5*d + 4 - 26*d + 102*d**2 - 92*d**2 - 3*d**4 - d**5 + 5.\nAnswer: -(d - 1)**3*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 13, -52740, 4 in increasing order.\nAnswer: -52740, 4, 13, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2315 (base 13) to base 8.\nAnswer: 11467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*g**2*y**2 + 341051998*g**2 - 725*y**2 - 2166*y wrt y.\nAnswer: 22*g**2*y - 1450*y - 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {t: 2, l: 1, d: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235345*o**2*s**3 + 2*o**2*s + 274*o**2 - o*s + 41*s wrt s.\nAnswer: 1412070*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 + 9501*k**2\/5 + 19047*k + 47655.\nAnswer: -3*(k - 3177)*(k + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = 25*n - 47 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9129 and -2893.\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 29. Let k = 40 - g. Calculate the remainder when 32 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1851490968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 55*c**2 - 11*c - 24. Let s be o(-8). Let v = s - 2175. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6280 and 49160.\nAnswer: 7718120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 4*m**2 + 7*m**2 + (5*m**2 - 1 + 1)*(-1 + 0 + 2) - 2*m**2 - 3*m**2 + 3*m**2 - m**2 + 3*m**2 + 0*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0166309 to 5 decimal places.\nAnswer: -0.01663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 5*l**2 + 953 - 1101 + l**2 in the form u*l**2 + p + v*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3167, -6336, -9505, -12674?\n\"Answer: -3169*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 t when four letters picked without replacement from {h: 1, t: 9, l: 1}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2180201 or -2180200?\nAnswer: -2180201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 12*l**2 - 11*l + 2. Let d be s(11). Suppose 6*r - 2*r + 8 = 0. Let m = d - r. Calculate the remainder when 9 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18188571 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/11, -478, -17\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = -5*s, q - 3*s = s + 13. Let l be 3\/q + (-658)\/280. Which is bigger: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 89876237.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*d + 1\/2 - 1\/4*d**2.\nAnswer: -(d - 2)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8839, 17676, 26513, 35350?\nAnswer: 44187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-9)*18\/60*-8. Factor 4\/3*z**4 - 2\/3*z**5 + 2\/3*z + 0*z**3 + 0 - f*z**2.\nAnswer: -2*z*(z - 1)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 51\/586?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + r + 11 = 11*s, 1 = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 4*w**5\/5 + w**4\/2 - 5*w**2 + w - 18. Find the second derivative of b(u) wrt u.\nAnswer: 48*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494639323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-16.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765290.\nAnswer: 2, 5, 103, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76087000 rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 - 3 - 2*u - 3*u + 8*u + u + 42 + 12*u - 42 + (3 - 2*u - 3)*(-4 + 2 + 3) to c*u + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 11\/5 (b) -0.2 (c) 5 (d) -1196 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*f + 7*f**2 + 0*f**2 + 321*f + 826*f - 9.\nAnswer: 7*f**2 + 908*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.3, 3, 0.4, 108?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12489980 is divided by 752.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a1 (base 12) to base 15.\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9944 - 0.0056. Which is the smallest value? (a) 0 (b) r (c) -0.2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 6 - -6) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 4, -81, -10 in decreasing order.\nAnswer: 4, -5, -10, -11, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6983740877.\nAnswer: 32191, 216947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*s = -47 - 28, 26 = -2*c + 2*s. Is -8 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v + 49*v**4 - 12*v - 6*v**4 + v**4 + 3*v**4 + (-v - 2*v + 2*v)*(2 - 2 + v**3) + 2*v**4 - 4 + 4)*(8 - 3 + 53).\nAnswer: 2784*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (69\/2691)\/((-14)\/(-336))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 111338*v**2 - 3147988896*v - 2714224256640.\nAnswer: -(v + 890)*(v + 55224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -44 (b) -3223 (c) 3\/2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leel when four letters picked without replacement from {e: 7, l: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 28*g - 15. Let n be f(15). What is the highest common divisor of 165 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3\/(-2)*(-152)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 21.3?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 36. Solve -y - q = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10509*r**2*y**3 + r*y**2 + r - 23*y**3 + 30*y wrt r?\nAnswer: 21018*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -55, 0.7, 2, -7\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-180)*1*3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/((-28)\/136)*(-31)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 46. Calculate the greatest common factor of 169 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 1, l: 6, v: 3, a: 3}. Give prob of picking 1 l and 3 a.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 98649.7 to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 37) + 3 + (-13 - -3) - -17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/4 - 35*f**3\/2 + 324*f**2 + 1385*f. Factor n(s).\nAnswer: 3*(s - 27)*(s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 0. Calculate the remainder when 51 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(76\/(-8) - -1). Is 13 a factor of t + -1*(4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 14. Let i be d(8). Suppose -s - 48 = -i*s. Let q = s + -30. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 - -0.92. What is the second biggest value in -3, m, -1, -2.55, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -447, 19, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 30101646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlwwllwwwwwwlwlwww. What is prob of sequence lw?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5953477 divided by 5953477\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1010068*b**3*w - 89270*b**3 with respect to w.\nAnswer: -1010068*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7*g = -3. Suppose 2*l = -5*n + 271, -4*n + g*n - 4*l + 65 = 0. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (-7 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 81*x\/2 + 41.\nAnswer: -(x - 1)*(x + 82)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 + 127471*x**2\/3 - 106229*x\/3 + 7082 = 0.\nAnswer: -21246, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 4*t**2 - 3*t + 6. Let q(m) = 2*m + 5. Let f be q(-5). Let u be s(f). Let h(g) = -g - 4. Let o be h(u). Solve o = 2*c - 5*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -313, -647, -981, -1315?\n\"Answer: -334*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/4 - 18591*u\/2 - 1107312.\nAnswer: 3*(u - 12512)*(u + 118)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 - 176\/(-66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 + 1576118\/732. Is v not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 669 and 1875.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q**2 - 6. Let z(h) = -11*h**2 - 8. Let u(i) = 11*i**2 + 9. Let k(j) = 3*u(j) + 4*z(j). Give 6*k(p) - 5*x(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40620.\nAnswer: 2, 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 363 + -313. Let z be 2149990\/g*-1 - (-2)\/(-10). What is z rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 c when four letters picked without replacement from {i: 4, c: 10}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 6:11 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.01 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 66, 113, 144, 153, 134?\n\"Answer: -s**3 - 2*s**2 + 60*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 37. Let l(i) = i**3 + 6*i**2 + 3*i + 8. What is the units digit of l(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -85263*q - 511272. Give r(-6).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:34 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88 - 123) + (-3 + -5 - 3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*j = -1644, 4*t - 1638 = 4*j - 3*j. List the prime factors of -4 - (2\/1)\/((-1)\/t).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2. Let c(r) = 3*r**3 - r**2 - r + 1. Let o be c(1). Let f(b) = 4*b + 0*b + o*b - 2*b. What is j(f(i))?\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 67*t**2 + 618*t - 646. What is q(1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2564 and 16692922.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.92 + 0.08. Let y = 79019 - 79019. Which is the third biggest value? (a) 0.1 (b) y (c) -18 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/168 - w**4\/24 - 5*w**3\/6 + 8*w**2. Let j(i) be the first derivative of d(i). Differentiate j(c) wrt c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7800 - -7801.5. Which is the fifth smallest value? (a) -0.04 (b) p (c) -3 (d) -4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2, 0.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29416*f + 21943*f + 298920 = 0 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**10\/10080 + i**7\/1260 + i**4\/6 - 3*i. Let y(a) be the third derivative of o(a). Find the third derivative of y(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -3 (c) 3 (d) -0.6 (e) 0.4 (f) 4 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(4) + sqrt(10))*-4)\/(-1*sqrt(20)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17956, 17930, 17904, 17878, 17852, 17826?\nAnswer: 17800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 5*g - 7. Let b be v(6). Let l = -16 - -20. Suppose 3*f - 57 = -5*i, 6*i - b = -l*f + i. Calculate the greatest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-20)))**25*s**11\/s*s**(14\/3) assuming s is positive.\nAnswer: s**(1619\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -571 + 71. Suppose 90 + 154 = 3*p + 5*m, 0 = -2*m + 10. Let b = p - y. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 51 - 8*p + 7*p - 43. Determine m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/5 - 2733*k**3\/5 - 617079*k**2\/5 + 1253349*k\/5 + 1867698\/5 = 0. Calculate k.\nAnswer: -486, -427, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/3, 3, 2 in decreasing order.\nAnswer: 3, 2, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 3455, 6510, 10451, 15278, 20991?\nAnswer: 27590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*u - 7 = 2*u, -2*z - 4*u - 14 = 0. Let x be (-129)\/344 - 1\/8. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224 + 231. Suppose 1 + 48 = w*i. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -147394, -2\/15, 2 in increasing order.\nAnswer: -147394, -2\/15, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x - 10. Let d be t(5). Put 1, 7, d, 15 in ascending order.\nAnswer: 1, d, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105585, 5, -31 in descending order.\nAnswer: 105585, 5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7031c (base 14) in base 3?\nAnswer: -111200201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12826*f. Let o(w) = -101*w. Calculate -5*h(u) - 636*o(u).\nAnswer: 106*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 189 = 3*f. Let p be (-2)\/5 + f\/5. Suppose -3*q + p = 3*r, -q + 0*r = 3*r - 16. Solve 3*u - 17 = 4*a, -a = 2*u + 8 - q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + c - 14, x = c + 4 - 3. Let a(w) = 2*w - 1. What are the prime factors of a(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + 6 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -131203 (base 4) to base 10\nAnswer: -1891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, 12\/55, 3 in descending order.\nAnswer: 18, 3, 12\/55, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:30 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.02 (b) -3\/7 (c) -3\/5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44213 (base 5) to base 7.\nAnswer: 11626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/1*610\/915\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let t = 4 + 15. Let r = -22 + t. Which is greater: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/215405?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-3))\/((-4)\/144).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494 + 123.4781\nAnswer: 617.4781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 600 = f. Let n be f\/(-18) + 1\/3. Suppose 32 = 3*j - 274. What is the highest common factor of n and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 9, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6907354*j**5*y**3 + 1837*j*y - 2*j - 13665*y**3 wrt j.\nAnswer: -138147080*j**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(2*sqrt(605) - sqrt(605)) - 6*(sqrt(245)*1 + 5 + sqrt(245))**2.\nAnswer: -6030 - 1038*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, v: 6, z: 4, q: 3}. What is prob of picking 1 z and 1 o?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1980*q + 6075. Calculate the remainder when 2554 is divided by s(-3).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75460.35 months to centuries.\nAnswer: 62.883625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 2) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962*g + 7 = -2*t + 1963*g, -11 = 5*t + 4*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 274086.\nAnswer: 3014946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -117466 - 117456 + 15*g**2 + 234913. Let r(v) = -6*v. Give r(a(p)).\nAnswer: -90*p**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13*(-15)\/5 - 0. Suppose 2*h - 2*o = -11 + x, -o + 41 = 4*h. Are 13 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23553 or -12102?\nAnswer: -23553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 59 + 198 = g, -556 = -4*g - x. Let m = g - 137. What is the third derivative of 46*p**6 - 6*p - 4*p - p**2 + m*p**2 + 7*p wrt p?\nAnswer: 5520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/20 in 43, -0.1, 242?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9 - 2 + t**2 + 2. Suppose -3*g + 3*j = -111, -182*g + 179*g + 2*j + 100 = 0. What is the remainder when g is divided by v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(99) - (-6*(sqrt(99) + 0))**2) + sqrt(99) + -1 + 3)*4*1 + 1)*-1.\nAnswer: -14249 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3334 - 3?\nAnswer: -3337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -93 times 6\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -783*b - 4856 + 9584 + 5451 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l. Suppose -74 - 38 = -14*u. Let m(z) = 6*z + 0*z + z - u*z. Give r(m(x)).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517213951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6084 and 52884.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194734624.\nAnswer: 2, 37335457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -4 (b) -2\/3 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 10*v - 7. Suppose 5454 = v*u - 9799. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124489961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*-2*(1 - 0). Suppose 0 = g + c*i - 60, -3*g + 4*i - 140 + 370 = 0. Suppose 2*k = -5*t + g, 7*t + 34 = 2*k + 3*t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75.0355 - 75. What is d rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*w + 2117 + 1849 = -718*w - 494*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 15328.5936788.\nAnswer: 15330.5936788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:40 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3500 and 76616820?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)\/x**(-1\/4) assuming x is positive.\nAnswer: x**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*g + 29*g + 4*n + 129, 2*n = g - 43. Solve 25*d + g - 118 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**8\/2240 - x**7\/840 + 11*x**4\/12 + 11*x. Let u(h) be the third derivative of c(h). Factor u(z).\nAnswer: 3*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (192*p - 54*p**2 - 62*p**2 + 114*p**2)*(-4*p**2 - p**2 + 6*p**2) to the form t + j*p**3 + n*p + z*p**2 + w*p**4 and give j.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose -s = -0*s - b. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b + 3. Let w be s(5). What is the first derivative of -9 - 216*p**3 + 216*p**w + 8*p**4 wrt p?\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -935\/12 + 317\/4. Which is the closest to -1? (a) j (b) 1\/5 (c) -2\/13 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-60) + (5\/3 - (-2 + 3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 384379.8 to the nearest one thousand.\nAnswer: 384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 12*g**5 + 23295*g**4 - 204471*g**3 + 543759*g**2 - 567345*g + 204750 = 0.\nAnswer: -1950, 1, 7\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*1*3)\/(((sqrt(70) - sqrt(70)*-2) + sqrt(70))\/sqrt(10)) + 3)**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:40 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*p**2*t**3 - 4*p**2*t**2 - 10*p*t**2 + 764*p*t - 917*t**3 wrt t?\nAnswer: -1020*p**2 - 5502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104315136539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1222 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -900 + -0.5.\nAnswer: -900.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**9\/68040 - g**7\/5670 + g**5\/540 - g**4\/4 + 2*g. Let h(x) be the third derivative of l(x). Let h(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 11692*f**2 + 128080*f + 139776.\nAnswer: 4*(f - 2912)*(f - 12)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 125989 plus -24?\nAnswer: 125965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -976, -977, -978, -979, -980, -981?\n\"Answer: -d - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.510468l to millilitres.\nAnswer: 8510.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 77.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 0*t**2 + 213*t**3 + t**2 - 13*t**3.\nAnswer: 200*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42484 is divided by 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 8*p - 2. Let d = -4 - -4. Suppose -3*z + 30 = -d*z. Does 6 divide w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*12\/126 + 22\/(-35)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9467 * -0.1.\nAnswer: 0.39467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-754\nAnswer: -1055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, -2.875, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -3*l + 1\/24*l**4 + 0*l**2 + 0 + 0*l**3. Factor m(v).\nAnswer: v**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 + 549\/2. What is the common denominator of y and 57\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + 45 + -98 + 35.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 1734?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 460\/(-350) + (6\/(-14))\/((-18)\/(-12))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/15)\/(2\/(2\/(-1))). What is the third biggest value in x, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = -2*x - 2, -4*m + 3*x = -23. Let s = 6 + 2. Solve -6*h + h - m*y + s = 0, 2*y = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let r = -0.22 + 0.26. Let q = r - 3.04. Which is the nearest to 2? (a) q (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 221*f = -868. Sort f, -1\/7, 9, -5.\nAnswer: -5, f, -1\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352665 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -18992*f**2 - 417822*f + 27. What is p(-22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c - 13. Let h(m) be the first derivative of -5*m**2\/2 - 7*m + 3. Let o(z) = -6*f(z) + 11*h(z). Let k be ((-6)\/4)\/(3\/4). What is o(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 121*t**3 + 3*t**2 - 2*t + 3. Let h(a) = a**3 - a**2 - a - 1. Determine 3*h(z) + u(z).\nAnswer: 124*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 116?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3\/2 - 6*g**2 - 42*g. Let f be d(-5). Solve -3*t + f + 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -126, -429, -1020, -1995, -3450?\n\"Answer: -16*k**3 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 2*b + 1. Suppose -2*v + 4*v = 0. Let w be p(v). Solve -4*r + y = -0*y - 7, -2*r - w = -5*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 4*t, 4*t = 28*z - 32*z + 4. Solve t*g = 3*k - k - 8, 0 = -3*g - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) 7\/5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1186, 17144, 43806, 81226, 129458, 188556?\nAnswer: 258574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 31*f + 185. Let h be o(-6). Let x be 2\/3 - (-2)\/6. Let t(b) = 2 + 6*b**3 - x + b**2 - 2. What is t(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.065 + -13.065. What is the nearest to 4 in -2\/5, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5734, 5731, 5728, 5725, 5722?\n\"Answer: -3*k + 5737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -3 + (-126)\/(-21). Suppose -2*r - s*n + 0*n + 6 = 0, -4*n = 5*r - 18. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/(2\/3). Let z be (3*v)\/(6\/(-148)). Let t = z + -19. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 15267.\nAnswer: 4580.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1663, -13038, -43759, -103450, -201735?\nAnswer: -348238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100222132 + 0?\nAnswer: 100222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023509753 to seven dps.\nAnswer: 0.0002351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 1 + 11. Differentiate 4 + z**2 + o*z**2 + 1 with respect to z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2982 + -2871. What is the remainder when d is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Let w = 5 + n. Let m = w + 7. Solve -i - m = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -91, -0.7, 0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(21)\/sqrt(3)) + 5 + sqrt(88)\/(sqrt(8) + sqrt(8)*-3))**2.\nAnswer: 15*sqrt(11) + 199\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/5 - 3*m**3 + 20*m**2.\nAnswer: -m**2*(m - 5)*(m + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-7 - (6 - 23))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36385068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22\/3 + 7. Let r = -1.1 + 1. Let t = -0.1 + r. Which is the closest to 0? (a) t (b) -1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -4.86502.\nAnswer: -1.946008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5074\/5071 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -18895*x**2 - 36*x + 25964. Let s(k) = 9448*k**2 + 16*k - 12973. Let n(b) = -9*s(b) - 4*y(b). Differentiate n(t) wrt t.\nAnswer: -18904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (-4 - 126\/(-35))\/((-3)\/285).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbk when three letters picked without replacement from {p: 1, a: 1, b: 2, l: 1, x: 1, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 0 (c) -2 (d) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -19210143020163.\nAnswer: -19210143020161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.654 to the nearest integer.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97613 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 - 8*c**3 - 7*c**3 + 9*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(32) - (-1*sqrt(126))\/sqrt(3))\/(-1*(sqrt(6) + sqrt(18)\/(sqrt(9)\/sqrt(3)))) + 3.\nAnswer: -5*sqrt(7)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -1*(7 + -3). Let n(g) be the second derivative of w + 0*g**2 + 1\/4*g**4 + g + 1\/20*g**5 + 0*g**3. What is the third derivative of n(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 14*m**2 - 32*m + 47. Give i(-16).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 21*h + 207. Suppose -4*r + 5*a + 37 = 0, 0*a + 50 = 5*r - 5*a. What is the remainder when q(-7) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**2 + m**2 - 3*m**2 + (-2 + 0 + 0)*(-3*m**2 + 3*m**2 - m**2) + (-3*m - 2*m + 2*m)*(m - 7*m - 9*m).\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*d = -253*d + 87*d - 69067 + 5222 for d.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*h**5 - 4467703*h**3*x**3 - 514*h**2*x**3 - 9520*h**2 - 7*h*x**2 wrt h.\nAnswer: -660*h**2 - 26806218*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -807 divided by -134568\nAnswer: 269\/44856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1168\/13 + 36\/234. Suppose 0*t = -t + 3*q + 14, -f = -4*t - 5*q. Let c be ((-1312)\/t)\/(14\/(-35)). What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/9 + 14\/(-63). Let f be 8\/12*(-21)\/i. Suppose -f*o + 3*o = -1636. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2010 - -2628. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, 45, 299, 807, 1653, 2921, 4695, 7059?\n\"Answer: 14*g**3 + g**2 - 17*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12502 and 399.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**2\/2 - 87072*g + 124385\/2.\nAnswer: (g - 24877)*(7*g - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42067555223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973012 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.77 + 5.75787. Let d = -95.011 - -95. Let z = d - y. What is z rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, 4\/5, 3, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*l + 361*l + 354*l + 441*l.\nAnswer: 978*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 3}. Give prob of picking 1 p and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:38 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*-17748446.\nAnswer: -5856987.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2754 and -64\/213?\nAnswer: 195534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1832*v - 21 + 21.\nAnswer: -1832*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + q = 11, -3*b - 622*q + 8 = -621*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2088 + 2092 + -1 + 2 + 9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2\/11 - 12491932*x\/11 - 8327952\/11.\nAnswer: -2*(x + 2081988)*(3*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-14)\/(-8) - (-431 - -426)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 16480*l - 3738*l - 12 + 34 to i*l + s and give i.\nAnswer: -20218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 736abc?\nAnswer: 736abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -787*q - 719*q + 1500*q + 126. Determine p(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6)*-1)\/2\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83898473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k + 16915 = 2*h, 2*h + 2*k - 16930 = 0. Suppose -9*z - 2187 = -h. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, -4, -1\/8, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-5)*(-1 - 2\/8). Let c be ((-10)\/(-4) - 1)\/(d\/(-30)). Suppose -3 = -2*q - 5*w, 4*q + 5*w - 20 = -c. Solve -2*j + q*r = 2*r, 0 = -4*j - 2*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 134 (b) -1\/8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Suppose -l*b + 166 = 471. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (34 - 1)\/((-3)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((55\/16)\/((-213)\/(-3408)) - 18)\/(-1*1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 4 (b) -6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 948170*38\nAnswer: 36030460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 37. Calculate u(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -0.2. Let t = 9\/86 - 701\/946. Let w = t + 41\/99. What is the nearest to -0.1 in b, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.751514 and 0.09665?\nAnswer: 17.848164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1229243376\/11 + 8219950181764\/73557. Let d = 5\/1486 - j. What is the common denominator of 23\/33 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:14 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 10775342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 685\/1366 + -1\/683. Let f = -7 + 5. What is the second biggest value in f, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-9072)\/20) + -1 + 6. Let x = i - 458. Sort x, 9, -5, -0.2 in descending order.\nAnswer: 9, x, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -44, -66, -88, -110?\n\"Answer: -22*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-20) - (-42)\/10. Suppose 18 = -y*b + b. Let l be (-1)\/2 - (-33)\/b. Are -5 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 420, 834, 1248, 1662?\n\"Answer: 414*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651288869 to the power of 1\/2, to the nearest integer?\nAnswer: 40636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 7*u + 9. Let f be s(-6). Let n(q) = -3*q + 15*q + 9*q + 2*q - 1. List the prime factors of n(f).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4 - (10 - (19 + 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x**4 - 5*x**4 + x**3 - 1 + 5*x + 3*x**4 + 3*x**2 - 2*x**4 - 5*x**4 to the form p*x + q*x**2 + v + z*x**3 + w*x**4 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11291133 and 1083?\nAnswer: 4076099013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 8. Let o(w) = -2*w + 9. Determine -4*o(l) - 5*x(l).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/10)\/(57\/(-380)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000448 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + 65*u**2 + 425*u - 208*u - 217*u + 403*u**2.\nAnswer: 458*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/4 of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07326 and -4.\nAnswer: -0.29304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 92 = 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471130 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13.33, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -8 + (-1)\/2. Put -2\/3, r, -2\/5 in descending order.\nAnswer: -2\/5, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -60, -61, -42, -3?\n\"Answer: 10*z**2 - 51*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1152101, 1152098, 1152093, 1152086, 1152077, 1152066, 1152053?\nAnswer: 1152038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 4. Suppose 6 = 2*m - 4*f, -2*m = -0*m - 3*f - 8. Let s be a(m). Suppose -p + 3*k + 65 = 0, s*p = -k - 4*k + 167. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l - 3. Let m be q(-5). Let k = -687 + 949. Let b = k - m. What is the highest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.2984 microseconds in minutes?\nAnswer: 0.00000807164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**4 + 383060*s**3 - 4580196752*s**2 - 126209217180*s - 431529202800 = 0.\nAnswer: -47\/2, -4, 23955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -13.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 18*s**2 + 1. Let v be d(1). Let o = v + -3. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59.83632ng?\nAnswer: 0.00000000005983632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2460167 to the nearest 1000.\nAnswer: -2460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 8. Let l(n) = -2*n**3 + 36*n**2 + 8. Let y be l(18). Suppose -6*i + 70 = y*i. Which is the third smallest value? (a) v (b) i (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(70) + (sqrt(70) - -1*sqrt(70))*5 - (sqrt(70) + 6*sqrt(70)*1)))\/((1*sqrt(40)\/sqrt(4) - (sqrt(1440) + -2*sqrt(1440) + sqrt(10)))*5).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r + 3*r + 6*r**2 - 4*r. Let n be p(-1). Let h(j) = -j - n + 7. Let w(c) = c**2. What is h(w(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h. Let g(k) = 10*k + 25. Let p be g(-2). Let c(x) = 2*x**2 + p*x**2 - 2*x**2 - 2*x**2. Determine c(w(b)).\nAnswer: 363*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, o: 2}. What is prob of sequence ovv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 279996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 5, g: 9}. What is prob of sequence cgcx?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 11*s + 15. Give c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/197620 and -91\/230.\nAnswer: 4545260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d - 8*d**3 - 7*d**3 + d**4 + 28 + 30*d**3 + 18 - d**2 - 12*d**3 to the form k*d**2 + j + s*d**3 + y*d**4 + h*d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 - 0.01. Let g(l) = -l - 2. Let p be g(-3). Let v be ((-8)\/9 + p)*2. Which is the closest to -0.1? (a) u (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 = -5*y, 4*y = 4*q + 5*y + 63. What is the least common multiple of 33 and (-3 - 1) + 1 + (-2 - q)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*k - 51 = -21, 5*k = -3*n + 26. Let x = n - -2. Let p be (7 - -3)\/(-2 + 0)*6\/(-5). What is the highest common divisor of x and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:43 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4344 and 5430.\nAnswer: 21720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6*1)\/(4\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(847) + -1)**2*4)*3.\nAnswer: 528*sqrt(7) + 40683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56025 divided by 45\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3728*a - 15 - 10 + 25 + 1716*a + 1850*a.\nAnswer: -162*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2014530664 and 712?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -561635 divided by 32?\nAnswer: -561635\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(77\/(-55)*(-20)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(136) + ((sqrt(136) - 2*sqrt(136)*-3) + sqrt(136) - sqrt(136)) - sqrt(136) - (sqrt(136) - -5*sqrt(136)*-2 - sqrt(136)))\/(2*sqrt(72)\/sqrt(225)).\nAnswer: -425*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/28)\/((-5240)\/(-917)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 428, 428, 424, 410, 380, 328, 248?\n\"Answer: -h**3 + 4*h**2 - 5*h + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13*h + 3. Let g(i) be the first derivative of 10*i**2 - 5*i - 242. Calculate -5*g(r) - 8*v(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 2*l**3 - l**3 + 348 - 168.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let v(r) = 2*r**2. Let u(g) = -22*g**2. Let i = 63 + 5. Let q(s) = i*v(s) + 6*u(s). What is q(b(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by -2 + 7 + 13 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -100*400*(0 + -1)*-50. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.6346um in millimeters?\nAnswer: 0.9736346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + -11. Let g = w + 29. Let q = 10.99999995 + g. Round q to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/2772 and -55\/1512.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -375\/17 = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l + 0*l + 2*l - 6*l. Let z(i) = 3*i. What is t(z(j))?\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/4 + l**2 + 4*l. Suppose a = 4 + 1. Let v = 10 + -12. Let j(i) = -7*i**2 + 5. Determine a*h(x) + v*j(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:07 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*-3 + sqrt(77) + sqrt(77)))*-3)\/(-4*sqrt(7)*-6).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3259832389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -182, -181?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21222, 21335, 21448, 21561, 21674, 21787?\nAnswer: 21900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101729698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 41 = -13*b, 101*b + 22*b + 18*b - 20 = 137*b - 4*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 5. Let s be l(5). Suppose 0 = 3*h + 2*d + d - 57, s = -3*h - 5*d + 57. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*x - 28, 11*x + 6 = 4*a + 16*x. Let v(g) = 1014*g**2 + 15*g - 11. Is v(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 9*n - n + n + 2*n - 2*n + (2 - 2*n - 2)*(-1 + 1 + 1) + 2*n - n - 2*n - 3*n - n - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21012011 (base 3) to base 4\nAnswer: -1101322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25719 + -92.357.\nAnswer: -25811.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000491346652 rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4826749g?\nAnswer: 0.0004826749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 1073.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from mmvmvm?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1887 - 1894. Put -0.4, 12, z in increasing order.\nAnswer: z, -0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 10*u**2 + 12*u - 1. Give p(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 68*k**3 - 17*k - 17. Let x(z) = -23*z**3 + 6*z + 6. Calculate 6*r(w) + 17*x(w).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-15))**(-1))**(3\/4) assuming g is positive.\nAnswer: g**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 4*d + 0 + 0*d**5 + 0*d**4 + 0*d**2 + 2\/3*d**3 - 1\/15*d**6. What is the second derivative of p(f) wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 82 = j, 0 = -2*j + 13*g + 24 + 203 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71173*c**3*m**3 + c**2*m - c**2 - 40325*c*m**3 - m**2 wrt c?\nAnswer: 427038*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.038 centuries in millennia?\nAnswer: 69.0038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -205, -13, -1 in ascending order.\nAnswer: -205, -13, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 14*c = -1298*q + 1302*q + 1, -48 = 3*c + 3*q for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240247 is divided by 120059?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2425400*m. Let h(y) = 2*y. Determine g(h(i)).\nAnswer: 4850800*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = 3*y + 2*y, 3 = -4*c - y. Solve 16*b - 15*b - 5 = c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63155.205 minutes in days?\nAnswer: 43.85778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -47, -72, -97?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 85262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Let n = 5 - p. Suppose n = -4*r - 19 + 107. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t\/t**(-6)*t)\/t)\/(t**(-6\/5)*t))\/(t**(4\/9)*t\/(t\/((t**(-2\/17)\/t)\/t))*t) assuming t is positive.\nAnswer: t**(8318\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 56*c - 166. Give k(-22).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h + 1. Suppose 3*o - 25 = -2*o. Let b be 4 - o - 0\/2. Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6384 + 8\/(-12)*9. Let b = q - -10937. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 23 + -27 - (51 - ((-2 - -7) + -9))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/7)*(x\/x**(-10\/11)*x*x)\/x)\/(x**(-1\/4)*x)**(-2\/47) assuming x is positive.\nAnswer: x**(32661\/7238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by 971\nAnswer: 91\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18\/5 + -103\/30. Sort 1.9, f, -1.\nAnswer: -1, f, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 10 - 76. List the prime factors of -1*(z - (-1 - 2)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - k = -6*z + 17, 10 = 4*z + 5*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 17 = -2*s + 4*o + 12 + 21, -53 = -7*s + 4*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96843874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -41. Sort 0.4, -1, l, 2\/129 in decreasing order.\nAnswer: l, 0.4, 2\/129, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o + 230*o + 2 - 79*o - 2.\nAnswer: 95*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 137*o**2 + 75*o - 479. Calculate w(68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 11:10 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229872801.6 rounded to the nearest one million?\nAnswer: 1230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -2. Suppose 93 = 4*g + v. What is the common denominator of ((-15)\/(-14))\/((-24)\/g) and 9\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 1 - ((70 - (-75 + 150)) + (46 - -3)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-4) + -9 - (45 + 0).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 21?\nAnswer: -25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 21. Determine o(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 371 = -9*k + 388, 0 = -3*i + k - 47 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-6) - 80\/24. Which is bigger: x or 3\/986?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675298 and 11246309.\nAnswer: 292404034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 150883158 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023717 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -461380 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-35)\/15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 18, -129, -610, -3.\nAnswer: -610, -129, -3, 2\/13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 19. Let n(h) = -23*h - 4. Calculate the remainder when n(-3) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104977.\nAnswer: 163, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t + 1 - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a72b (base 14) in base 12?\nAnswer: 3253ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 2*z = 9*n - 6, -2*n + 3*z - 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let k be 3\/(-3) + 0 + d. Let c be k\/3*12\/20. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Solve k*j - 6 = -4*t, -j = 3*j + 2*t - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18299 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/3 (b) 2\/9 (c) 3\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f - 1. Let n(c) be the first derivative of -c**4\/2 + c**3\/3 + c**2 - 3*c - 13. Calculate 3*a(p) - n(p).\nAnswer: 2*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2180327 in 7, -0.2, 14\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -2*l + 2, -4*l = z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.51374171 and 18733.\nAnswer: 18723.48625829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 7, 3\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5, 2\/7, 4\/7, -2\/9, 29?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 7 + 9 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.2. Let m be (-4)\/18 + 84\/(-54). Let w = -10\/9 - m. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6 - 3\/2*1. Let n be -3 - (-1 + 2) - y\/2. Let g be 1\/n*0 + 0 + 0. Solve -c + 1 = -g*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 332225000797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -73, -110, -147, -184?\n\"Answer: -37*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -218711, -218727, -218741, -218753?\n\"Answer: h**2 - 19*h - 218693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3835\/4 - 959. Which is the fourth biggest value? (a) 0.2 (b) f (c) 40 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 - -184. Let z be 3\/6*(m - 4). What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 1\/2, -4, -2\/7 in increasing order.\nAnswer: -4, -2\/7, 1\/2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(72) - (sqrt(72) - (sqrt(72) + 2) - sqrt(72))).\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888047339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183621, -4, -207 in descending order.\nAnswer: 183621, -4, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Let m = 384 - 383.85. Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1134)*2 + sqrt(1134) - sqrt(14)*2*-2)*-3)\/((-5*sqrt(16)\/sqrt(2))\/(4*((sqrt(4) - sqrt(4)*-1) + sqrt(4)))))**2.\nAnswer: 8718192\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1355.3 + 1353. What is j rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-15))\/(-1*60\/(-10)*7\/1281)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*x = 17*d + 1087*x + 292, -d - 21 = -x - 3*x for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90198663769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*q = 30, -11542*s + 11540*s - 8*q - 64 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - sqrt(110)*1 - sqrt(110)))*-2)\/sqrt(10).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 - 100?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = 0, 2*d - 3*g = 2*g - 13. Let x(p) = p**3 - 7*p**2 - 10*p + 14. Let w be x(8). What is the remainder when 47 is divided by (-2)\/d*(-64)\/w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43232, -43239, -43246?\nAnswer: -43253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 283*h**2*w*x - h**2*x + 2*h*w*x + 13*h*w - 2*h*x + 544*h + x wrt w?\nAnswer: 283*h**2*x + 2*h*x + 13*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 884001 to the power of 1\/2, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 1586*k**3\/3 + 531*k**2 - 2437*k. Find the first derivative of y(h) wrt h.\nAnswer: 3172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k - 1242 + 546 - 1650 = 0 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1961 is divided by 838?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a - 1. Let w(d) = -3*d**2 + 1. Let g(n) = -w(n) + 4*y(n). What is g(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9322957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2756 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7587039929 to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 872928*k**3 + 4*k**2 - 22053597 with respect to k.\nAnswer: 2618784*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/5 - 2*u**3\/5 + 3*u**2\/5 = 0. What is u?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 9*z**5 + 158802*z**4 + 6130659*z**3 + 66399678*z**2 + 131196996*z - 51339096 = 0.\nAnswer: -17606, -18, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047778 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 4. Let b(l) = 3*l - 1. Suppose 0 = 6*s - 7*s - 1. Let k be b(s). Let h(z) = -3*z**2 + 3. What is k*h(y) - 3*f(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-168)\/18)*(-8)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -153b76?\nAnswer: -153b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) -0.5 (c) 3\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -55*w - 47. Let o be m(-1). Solve -4*d - 24 = -o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370216 or 370214?\nAnswer: 370214","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 31*b**3 - 58*b**3 + 29*b**3 - 2*b + 8 in the form n + r*b + j*b**3 + s*b**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 1, r: 2, l: 4, p: 2, u: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - 3401?\nAnswer: -3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 66*u**2 - 6*u - 17. Let b(k) = -133*k**2 + 11*k + 30. Calculate -4*b(t) - 7*o(t).\nAnswer: 70*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2944, -2, 2, -421.\nAnswer: -2944, -421, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/6 + h**3\/3 - 3*h. Solve s(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiongzgozznnnz. What is prob of picking 3 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450928 and 68.\nAnswer: 7665776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 360, 545, 732?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**2 - 5*r - 1. Suppose -90 + 80 = 5*v, -4*s + 5*v = -1286. Calculate the remainder when s is divided by q(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -222 - 940. What is u rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3 - 77*b + 148*b - 67*b - 3. Let r(w) = 241*w - 3. Give k(r(j)).\nAnswer: 964*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 divided by 1?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 15, -58 = 4*d - 4*a - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14010600 to the nearest 100000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 749565 and 335?\nAnswer: 50220855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*q + 44 = -8*q, 14 = 2*c + 2*q. Let z = -3 + c. Suppose -4*h - 40 = -z*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 - 3 - i + 5. Let o be (10 + -16)\/(8\/(-12)). Suppose 2*d + 18 = -2*h, 2*d + o = -d. Let c(n) = 5*n - 8. Calculate h*j(f) - c(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2\/9, -5, -133, 2\/73 in ascending order.\nAnswer: -133, -5, 2\/73, 2\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 2, e: 2, p: 2, j: 1, a: 4}. What is prob of sequence jap?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.2, -163, 3346, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2\/9 - 282\/54). Suppose -3*a + 3*u = u - 377, -u + 637 = s*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 8*o**2 + 10*o + 2. What is c(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 539874643*o - 1079749295*o + 539874651*o + 6.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3203 - 3200.929. Let z = c + -0.071. What is the second biggest value in z, 0.6, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -4, 4, 37, 2\/21, 0.14, 3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/10*(0 + 5). Suppose s + j = 3*s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -914, -1827, -2738, -3647, -4554?\n\"Answer: d**2 - 916*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 + 6036*z**2 - 103648*z + 183120 = 0. Calculate z.\nAnswer: -1526, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 813.\nAnswer: 13008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 5 (c) -7 (d) 4 (e) -0.05 (f) -2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/168 and -163\/72828?\nAnswer: 145656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/4*(240178\/(-984))\/101.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u + 6 = 4*h, -u - h - 6 = 0. Let r be 6 - u - (-4)\/(-1). Calculate the highest common factor of 60 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -3*z, -5*z - 2*d + 10 = -d. Let w be 3 + (4 + -1)\/(-3). Suppose i + w*c = -6, 3*i + c + 0*c + 3 = 0. Solve -z*m + 7*m = i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 5*f + 5. Let x be u(-2). Suppose -x*w - v + 3014 + 1612 = 0, 1555 = w - 4*v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose c + c + 8 = -f*k, -4*c = -4*k - 24. Solve 0 = -t + 3 - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46245900 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 226 - 180 = -x, -2*x - 5*r = -782. Suppose x = 7*w - w. Calculate the remainder when w is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**2 + 10*m + 107. Give s(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-20 - 2)*-2 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 9*j + 0 + 1\/20*j**5 - j**3 + 2*j**2 + 5\/12*j**4. What is g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -375.06\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**27\/((v*v**(-1\/36))\/v*v) assuming v is positive.\nAnswer: v**(937\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15764 = -17*y + 16495 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/30)\/((-194)\/291)*-304\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.5, 3.54, 463 in decreasing order.\nAnswer: 463, 3.54, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-6)\/40)\/(-36*(-17)\/25500)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -3)*32\/5. Suppose -12 = 3*j, r = 2*o + j - 2*j. Let c = o - 11. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*s**4 - 2*s**3 - 24*s**2 - 85*s + 3303786 wrt s.\nAnswer: -84*s**3 - 6*s**2 - 48*s - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*g + 181 = 0, 6*g - 3*g + 291 = 5*b. Let z = b + -55. Calculate the remainder when 17 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784, -698, -570, -400, -188?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-108912.145.\nAnswer: 10891.2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3478469\/16181 + 308\/1471. Let x = h - 215. Which is the second biggest value? (a) x (b) 3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2161996500 to the nearest one million.\nAnswer: -2162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2256 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38019, -37972, -37923, -37872, -37819?\nAnswer: -37764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)*i**(-2\/3))**(-2))**(-7\/8) assuming i is positive.\nAnswer: i**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.5, -3, 175848 in ascending order.\nAnswer: -3, -0.5, 4\/5, 175848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, 1 j, and 1 k when four letters picked without replacement from {g: 1, k: 1, p: 1, s: 1, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1082725758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2262 - -2267. What is the closest to 1 in -3\/7, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h**3 - 3*h**2 - 15. Let x(t) = -11*t**3 + 3*t**2 + 10. Calculate 2*l(w) + 3*x(w).\nAnswer: -9*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 7*q**2 - 7*q + 1. Let s be j(5). Let u be ((-5)\/20 - (-61)\/4) + 1. What is the greatest common factor of u and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**2 - 137*y - 11837. What is z(-25)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 270, 535, 812, 1107, 1426, 1775, 2160, 2587?\n\"Answer: s**3 + 258*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 8*v**3 + 3*v**2 - 9*v**3 + (64*v**2 - 21 + 21)*(v - 3*v + 5*v) as t + i*v + f*v**3 + l*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 51.58. Let w = b - -0.420038. What is w rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44079941 to the power of 1\/2, to the nearest integer?\nAnswer: 6639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*(u*u\/(u*u**(-7)*u))\/u*u))\/u)\/u)**(-26)\/(u**26\/(u\/u**(-7))) assuming u is positive.\nAnswer: u**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2. Let g(j) = 4*j. Calculate u(g(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 5*f**3 - 2*f)*(-4*f - 2*f + 5*f) to the form j*f**4 + z*f + c*f**2 + w*f**3 + y and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 15*x - 16. Let d be j(12). What is the second derivative of 4*f + d*f**3 - 55*f**2 + 55*f**2 + 19*f wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399.03 + 899.95.\nAnswer: 500.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d + d**2)*(1 + 5 + 0)*(-d + 3*d - 3*d) + (-d**2 - d**2 + 0*d**2)*(-1 - 2*d + 1) as b*d**2 + i*d + u*d**3 + m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - 5. What is u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 - -1.2. Let z be 3\/(-9)*1*5. Let x = 1 + -6. Sort x, z, g in increasing order.\nAnswer: x, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39817243 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7.9 times -16\nAnswer: 126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n + 69. Let m be c(-6). Let r(z) = 8*z - 160. Let q be r(m). What is the greatest common factor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 133*j - 391. Let q be l(8). Let u = q + -643. Let c(d) = -6*d**3 + 15*d**2 + 15*d + 15. Let o(r) = -r**2 - r - 1. Give u*o(n) + 2*c(n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Find the second derivative of -q*w + 0*w + w**3 + 0*w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.95 + 0.05. Suppose -1 = -d - 0. Suppose 5 = -l - 2*j, 0 = -2*l - 0*l + j - 5. What is the closest to g in 0.4, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 155423*d + 33. Is b(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/3*(-1)\/3. Let k be n + 178\/36 + 2\/9. Let o(l) = -l**2 + 16*l + 16. Let w be o(17). Which is the smallest value? (a) -3\/7 (b) 1\/2 (c) w (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230*g - 70.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139867426?\nAnswer: 2, 101, 692413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * -376.1.\nAnswer: 71.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250497 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*1 - (sqrt(187) - (sqrt(187) - sqrt(187)*-1))\/sqrt(11) - ((-5 + sqrt(612))**2 - (sqrt(17) - ((sqrt(85)\/sqrt(5) - sqrt(17)) + 1))).\nAnswer: -638 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 2*t - 4*t. Let q(w) = 10*w**2 + 9*w - 10. Let c be q(1). Suppose 0 = 20*n + c*n - 290. Calculate the highest common divisor of n and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -67, 1 in ascending order.\nAnswer: -67, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5309254 divided by -44.\nAnswer: -2654627\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-15 + 6)) + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.741 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1\/(-3))*3. Suppose -20*w + 616 = -6*w. Suppose 4*h + w = 3*n, -h + z = 7. Solve n = -2*t - 0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 0 (c) 0.8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10179 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - -0.8. Let r = s - -9. Let l be (7\/(-63))\/(10\/12). Sort r, -1\/5, l in decreasing order.\nAnswer: r, l, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*z - 4, 3*m + 3*z + 2080 - 2086 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241829620.10000388 - 241829626. Let o = -5.9 - w. Round o to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l + 17*l + l**2 - 29*l. Determine n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 828 - 805. Suppose 0 = -5*y - 2 - 53. Let z = l + y. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*w - 9*w**2 + 11*w + 11*w - 12*w**2.\nAnswer: -21*w**2 + 22*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28262 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20339 and 7568.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -43?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -192750.4 times 33?\nAnswer: -6360763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 + 1)*12\/6. Let r be 10\/12 + ((-492)\/(-144) - (-3)\/(-12)). Calculate the highest common factor of l and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1629552 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4*v - 4. Let o(m) = -2*m**2 + 8*m + 7. Let b be (21\/6)\/((-3)\/(-6)). Let g(n) = b*h(n) + 4*o(n). Let c be g(4). Solve 4*i + c*i + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6577851 rounded to 2 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2045 (base 12) to base 16\nAnswer: db5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 + 4*z - 4. Let w(v) = -13*v**2 - 9*v + 9. Let p(o) = -9*n(o) - 4*w(o). Let b(g) = -8*g**2. Calculate b(p(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/23 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 12*d + 21*d - 2 - 16*d to o + c*d and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/6 + 3*p**2 - 4*p. Let w(y) be the first derivative of d(y). What is the units digit of w(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6524775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10 + (-153)\/(-510)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16053198*f**3*r + 19*f**2 + 1430*f*r - 109 wrt f.\nAnswer: -96319188*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k + 278 - 822 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 142496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -877548 + 2648554.\nAnswer: 1771006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -19 - (1 + -1). Let j = -10 + v. Factor 0*h**2 - h**j - 2*h**3 - 2*h**2 + h**3.\nAnswer: -2*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*k - 30. What is the common denominator of (-2)\/6 - (-83)\/(-21) and 909\/k*10\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4396 - 0.50429467\nAnswer: -1.94389467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7194 by 8371.\nAnswer: 654\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 138958.68 to the nearest one hundred.\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = 0, 80 = -5*p - z + 6. Let x be 1\/5*p\/(-4). Let n be ((-2)\/(-4))\/((-10)\/16). Sort x, n, -0.4.\nAnswer: n, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -30.8 (b) -6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 315687*i + 4419624. Give n(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 274 and 206.\nAnswer: 28222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3155 + 165*b**2 + 3155)*(5*b + 12 + 3*b - 6*b).\nAnswer: 330*b**3 + 1980*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 2 k when four letters picked without replacement from kmwhmmvkmvkjvkmmk.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-7) + (-100)\/(-28). Suppose -5*f = -2*z + q, 5*f = z + 2*z - 11. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2)*(20\/(-25))\/(3\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 1. Let w(y) = 2*y - 4. Let m(z) = 4*j(z) - w(z). Let s(v) = 10 - 3*v - 10. Calculate s(m(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107576 is divided by 285?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:26 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -38*d**3 + 13*d**2 - 704*d + 693. Calculate m(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 8. Let o = -389 + 389. Solve v = -o*x + 2*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**2*o - 2*f**2 - 1134*f*o + 3*f - 3904*o - 916216 wrt o.\nAnswer: 4*f**2 - 1134*f - 3904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)*-6)**2 + (0 + sqrt(88)\/sqrt(2))**2.\nAnswer: 6380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*m)*(-m**2 - m**4 - m**2 + 4*m**4).\nAnswer: -6*m**5 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/24 + (-679)\/(-84) - 0) + 1342. Calculate the greatest common factor of 100 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 216 and 0.37493?\nAnswer: 215.62507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 6:26 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010011 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z**2 - 4 + 2 + 2 in the form i*z**2 + n + l*z and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 1. Let a(g) = 15*g + 21. Calculate -a(u) + 18*q(u).\nAnswer: -33*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frtrtg. Give prob of picking 1 f and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2944 and 4393.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 1. Let l = -0.699997 - m. Let q = l - 0. What is q rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 7*j**2 + 20*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 0.4, 52242.\nAnswer: 0.4, 3, 9, 52242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + j - 3. Let i be q(4). Let o = -41 - i. Suppose 0 = -9*a + o*a + 54. What is the remainder when 32 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103530501.\nAnswer: 3, 349, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 10*o - 22 = 14*o, 1 = f - 2*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. What is the nearest to 1 in -3, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6\/5)\/b*b)**(-2\/17) assuming b is positive.\nAnswer: b**(2\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, -3, -1 in descending order.\nAnswer: 324, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(2 + -8). Suppose -8*i + y = -6*i. Suppose 5*c - 14 = -3*h, -4*c + 6 = i*h + c. Calculate the lowest common multiple of 9 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = l + 3*x + 6, -2*x = -5*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 188966545 - 1455690\nAnswer: 187510855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 = a - 799. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5461111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + l - 21 = 0, 518*l = -2*i + 516*l + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1\/6 (c) -10 (d) 0.2 (e) -85\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862764 is divided by 143793.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 3*o - 66 - 71.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 166681663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 24*r - 32. Let x be k(-23). Let o be 12 - ((-2)\/7 + x\/(-7)). Solve m + o = 5*m - 5*q, 2 = m - 2*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**(-34)\/((c\/(c\/((c\/(c\/(c**(3\/11)*c)))\/c)))\/c*((c*c\/(c*c**(-14)))\/c)\/c) assuming c is positive.\nAnswer: c**(-1693\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-6)*(-33)\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s. Let t(c) = 1868*c. Calculate t(j(i)).\nAnswer: 5604*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:37 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6466 and 2014.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47, -2\/14749, -1 in decreasing order.\nAnswer: -2\/14749, -0.47, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*j + 8*z + 466, -3*j + 5*z = -700. Suppose 5*g - j = -80. What is the smallest value in -3, g, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/10)\/((-3)\/(-10)). Let x = k - 4. Suppose -x*m = -3*w + m + 243, 5*m + 168 = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/12*o**4 + 0 - o + 2\/3*o**3 - 7\/2*o**2. Let x = 4968 - 4974. Calculate i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*n - 47. Let w = -16 + 3. Let j = n + w. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 2. Let t be z(9). Let b(q) = -3*q - 5. Let d(m) = -7*m - 10. Let i(w) = -5*b(w) + 2*d(w). What is i(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(50)*-1*1)\/((sqrt(640) - 2*sqrt(640) - sqrt(10))*-4).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 332, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*g - 154, -4*z = g - 320 + 48. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 9*t**2 + 16*t**2 - 9*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z - 9*z - 5*z + 24*z + 2 - z**2 + 3. Give j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-12)\/2 - (-1 + 0) - (-19894)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 363 - -2a?\nAnswer: 38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 11*d - 9. Let u be o(-8). Let g be 5 + -2 - 5\/(u\/(-2916)). Suppose -n + 1642 = 5*j - 2*n, 3*j = 4*n + g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10305 or 10299?\nAnswer: 10305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 22*c - 38. Let w be f(20). Let l(r) = 6*r**2 + 9*r + 1 - 11*r + 7*r**w + r. Determine l(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**2 - 3*l + 8. What is the tens digit of d(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 541\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.106 and -920?\nAnswer: -97.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f**2)*(0 + 1 + 1 + (1 + 1 + 0)*(6 - 4 - 3) - 6 + 4 + 4 + 35 - 102 - 111).\nAnswer: 352*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 1166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205465743 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, -5, 1, -2, 5, -26 in increasing order.\nAnswer: -345, -26, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -52551?\nAnswer: -52550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 1\/15*d**5 + 2\/3*d**3 + d**2 + 0 + 1\/120*d**6 + 1\/12*d**4 + 0*d. Let a be (-9)\/2 + (-18)\/(-12). What is o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*h**3*r + 367781589*h**3 + 24*h**2*r + 106*h*r - r wrt r.\nAnswer: -46*h**3 + 24*h**2 + 106*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 485394*h - 485395*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426802 is divided by 108.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqwwq. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48*2\/(-1 - 1). Suppose 12*k = 10*k - 2*c - 42, -k = -4*c + 46. Let g = k - d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 + 0 - 3*a)*(-3*a - 4*a + 5*a)*(-5 + 5 - 2) as k*a**2 + g + l*a and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 218*o**2 - 50*o**5 - 16 - 20*o + 145\/2*o**4 + 457*o**3 = 0.\nAnswer: -2, -2\/5, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*n - 4, 48*i - 4*n - 4 = 46*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6538 a factor of 390593196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182663 is divided by 1243?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 0)*34\/(-102) + 2256?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4\/7, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885968 by 221492.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*y = -3, f - 6 = -f - 4*y. Let o be f*(1 - 3) - -170. What is the greatest common divisor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 299, 594, 895, 1208, 1539, 1894?\n\"Answer: o**3 - 3*o**2 + 297*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/18 - 238*q**3\/9 - 239*q**2\/3 - q - 1051. Factor n(j).\nAnswer: 2*(j - 239)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**4 - 16*c**2 + 2142 - 20*c - 2144 + 14*c**2 + c**3 to the form i*c**3 + v*c + f*c**2 + x*c**4 + n and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.103 + -0.052. Let c = -0.149 - l. What is the nearest to c in 0, 0.5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 80*u - 644. Let g be o(8). Let r be (1 - 32\/33)*67. Let q = r + -4\/11. Which is the biggest value? (a) 4 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -675 + 1397. Suppose -b = -4*q - 3*v, -5*q = 2*v - 5*v - 916. Calculate the greatest common divisor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b10 (base 15) in base 14?\nAnswer: -21cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/((-1560)\/(-160))*1\/4*63*-1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onsonsno. Give prob of sequence no.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:05 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 + 2 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 + 0*u**2 + u**2)*(-3*u + 2369 + 2340 - 5093) in the form h*u**3 + l + d*u**2 + j*u and give d.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7365 is divided by ((-9652)\/(-304))\/(1\/4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1054*h - 7. Does 24 divide d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1070626?\nAnswer: 5\/1070626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 3. Let n be l(5). Suppose o = b + 6*o + 6, 30 = n*b - 4*o. Calculate the lowest common multiple of -5*5\/(-100) + 75\/4 and b.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(648)*-2*3)\/((2*sqrt(54)\/sqrt(2))\/(sqrt(3) - (sqrt(15)*-2)\/sqrt(5))).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11065*c + 43307. Calculate m(-4).\nAnswer: -953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*v**3 + 1 + 407*v**3 + 33*v**3 - 38*v**3 + 3.\nAnswer: 242*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2383096 divided by -8.\nAnswer: -297887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.11, 2, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**49)**(-19\/2)\/((p**(-3\/5)\/p**(-4\/5))\/((p**(1\/4)*p)\/(p*p\/(p\/p**(-2\/7))))) assuming p is positive.\nAnswer: p**(8158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 19 = 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65*d + 20*d - 27*d)*(0 + 1 + 1) to the form s*d + g and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(11\/5))**32\/((k*k\/((k*((k\/k**(-4))\/k*k)\/k*k)\/k))\/k*k**(3\/23)) assuming k is positive.\nAnswer: k**(8541\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*h + 225*h = -132*h + 108*h + 24072 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120521 + -15908851\/132. Calculate the common denominator of 31\/172 and x.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29006120179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 17 = 2*o - 15, 0 = -5*o - 3*q + 80. What is the greatest common divisor of o and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -427b + -85?\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 24 = 2*x, -167*x = -14*i - 168*x + 228 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, -27, -96, -195?\n\"Answer: -15*j**2 + 6*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqo when three letters picked without replacement from msoomqzzvqvoos.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*x + 6. What is the common denominator of -48\/5 and 1\/(x\/(-5)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(2\/5)*x)\/x))\/x**5*x*x*x*x**(-1\/7)*x*x*x**4)\/((x*x*x\/((x\/x**(-6))\/x))\/((x*x\/(x\/x**(-1\/8)*x))\/x*x))**(12\/11) assuming x is positive.\nAnswer: x**(5847\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a factor of 182219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, 27, 73, 141, 237?\n\"Answer: c**3 + 2*c**2 + 17*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 195 = 0. What is the remainder when l is divided by (46 + -6)\/((-2)\/(-1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5115*m - 2323. Is l(-11) a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from ekxsexkwedxe.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1998682 litres in millilitres?\nAnswer: 199.8682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/7)\/(11\/(-25179)*-109)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 1714019846?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.034? (a) 4 (b) 0 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-2)*8295\/(-152075).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 571 - 549.76. Let j = -21 + f. Let b = -27 + 28. Are j and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + g - 3 - 4 = 0, -d + 2*g - 5 = 0. Solve -h = -d*a - 0*h + 13, -a - h + 3 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80322 divided by 194\nAnswer: 40161\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 322, 491, 648, 787, 902, 987?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 120\/70 - (0 - -2). Which is the third biggest value? (a) 2\/13 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*v + 1050 = -137*v. Solve 5*b + 45 - v = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 20. Let u be l(0). Let d = 34 - u. Let q be 125 + ((-9)\/(-3) - 2). Calculate the highest common factor of d and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34866, 66958, 99050?\nAnswer: 131142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**2 - 10*t**2 + 147*t**2.\nAnswer: 173*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188304 or -188303?\nAnswer: -188304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 205\/(-29) + 44\/638\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**3 + 12*h**2 - 11. Let a(v) = 5*v**3 + 4*v**2 - 4. Let b(z) = 11*a(z) - 4*g(z). Let y(r) = -r**3 - 3*r**2. Give 3*b(x) - 4*y(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (1 + sqrt(180)*2 + sqrt(180) - sqrt(180))) + -5.\nAnswer: -5 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 38*o - 36.\nAnswer: -2*(o + 1)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/30 + c**4\/6 + c**3\/3 - 6*c**2. Suppose s(j) = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = 24. Let w = -12 - l. Calculate the remainder when 13 is divided by -6*4\/(-8) + w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3532 - 143?\nAnswer: -3675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.932 - -1.068. Let p = 0.5 - 0. What is the closest to -5 in 0.1, p, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -75 (c) -0.3 (d) 765\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) 10 (b) -0.031 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3*u + 3*u)*(2 - 2 - u)*(-1 + 0 - 2).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -269, -1062, -2383, -4232, -6609?\n\"Answer: -264*r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, d: 5, x: 1, s: 3}. Give prob of picking 2 x and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 21*v + 1. Let w be 20\/25*(-10)\/(-4). Is p(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {h: 2, f: 2, o: 4, y: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -18*l - 1. Let j(s) = s**3 - 8*s**2 + 2. Suppose -4*m - 5*m + 72 = 0. Let w be j(m). Suppose -3*t - 2*g = 11, 0 = -5*t + w*g + 1 + 2. Calculate f(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, 441 in descending order.\nAnswer: 441, 23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 3*x**2 + 6*x + 2. Let t(p) = -40*p + 2636. Let c be t(66). What is k(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98118.32 and -0.7?\nAnswer: -68682.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/5 + 32*l**2\/5 + 138*l\/5 + 36 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11874520 (base 10) in base 14?\nAnswer: -1811640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8661701622?\nAnswer: 2, 3, 7, 101, 2041891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -11, 6, -2 in decreasing order.\nAnswer: 6, 3, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-30\/11))\/z)\/z**(-32))\/(z\/(z*z**(-39)\/z)*z*z**21*z*z) assuming z is positive.\nAnswer: z**(-322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -11. Let p(a) = -4*a - 15. Let v be p(-6). Suppose 4*i - f - v = 0. Solve -3*w = -6*w - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-2)\/4 - -1). Let c be (-2 + 0)\/(z\/15). Suppose 3*o - 29 = -5*u, -3*u = c*o - 5*u - 38. Solve -3*s + 5 = -o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.3817 and -16.694?\nAnswer: 10.3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g. Let d be i(-4). Solve d*c = 7 + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-4))\/(3\/222). Let i be (115 + -4)*(-2)\/(-6). Calculate the greatest common factor of x and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -34.21.\nAnswer: -34.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = 2*q - 129, 0 = -q + 4*u + 81. Let k = q + -54. Solve 2*j = -j - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558742133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763511381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(20\/16 + -2). Solve -3*z + 2 = -u - d*u, 0 = -u - 2*z + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-110595)\/1533 + 2\/(-14)*6\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6885849.984 rounded to the nearest 100000?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 158843.6 years?\nAnswer: 1588.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/7 (c) 0.028 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*z + 1, -5*i + 4*z - 5 = 6*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351705052.\nAnswer: 2, 23, 41, 93241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -46\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -4.07. Let w = 0.013 - 0.043. Sort 3, j, w in descending order.\nAnswer: 3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10)*(-15)\/33. Does s = -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 18*w**2 - 40*w + 136. Let v be i(16). Solve 0 = -9*r - 17 + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 10*t**3 + 13*t**3 - 5*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 147, -3, -5 in decreasing order.\nAnswer: 147, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -37, -27?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = 3*y - 2, 3*y - 17 = -5*n. Let h be 2\/(-7) - 6\/(-21). What is the common denominator of y\/(1 + h - 34\/33) and 35\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 - 72*c**4 - 978*c**3 - 6140*c**2 - 17400*c - 18000.\nAnswer: -2*(c + 3)**2*(c + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3526 = -22*o + 31356. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31486 < -31487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.4, 2\/9, -27 in decreasing order.\nAnswer: 0.5, 0.4, 2\/9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2\/19, 5\/2, -714, 0.5, -14?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + (-78 - 1). Round l to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162122 or -162111?\nAnswer: -162111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*q**3 + 29*p**3*q**2 + 22*p**2*q**2 - 43*p*q**3 - 6*q**3 - 7 wrt q.\nAnswer: 6*p**3 - 258*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(2 + 0 - 1)*(2*a + 2*a**2 - 2*a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57260, 116590, 175920, 235250, 294580, 353910?\nAnswer: 413240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 2*n. Let o be y(-2). Let u = -6 - o. Let c be (4\/10)\/(u\/(-60)). Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*t**2 - t + t)*(18*t**2 - 7 + 7) to the form a*t**2 + l*t**3 + j*t**4 + v*t + y and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 585 - 568 + 1153 + 15*d**2.\nAnswer: d**3 + 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -23*j**4\/4 + 50*j**2 + j - 25. What is the derivative of c(d) wrt d?\nAnswer: -138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 1:06 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 3. Let t be h(-2). Let d = -326 - -331. Suppose t*n - 128 = 2*l - 43, d*l = -25. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qddddndqddnrqqnq. What is prob of picking 1 r and 3 q?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 2*x - 24 = 0. Let u be x + 176 - (0 + -2). Suppose -4*d + u = -35. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -5. Solve k + b = -2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -511, -502, -493, -484, -475, -466?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -1)\/((-8)\/(-88)). Suppose 0 = -l - 3*m + 24, -l - 5*m + 27 = k. What is the lowest common multiple of l and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -38, 1790, 6284, 14332?\nAnswer: 26822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 10 (c) -73 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 56) + (1 - 2 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*k + 73 - 21, 5*n + 2*k = 83. Solve -o - o = -d + n, -2*d = -o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1512 = -4*m + 4*t + 1824, 0 = 4*m + 4*t - 3328. Let a = m - 192. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.6 + 107.6. Let t = -49438049 + 49438134.000154. Let z = o - t. What is z rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 + 70156*y + 491091\/7.\nAnswer: (y + 1)*(y + 491091)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1380 divided by 69.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((3 - 5) + 0). Let t be 126\/(-12)*(7 - w). Is (-36)\/t + (-81)\/(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 3*s**4\/4 - s**3\/3 - s**2 - s - 25. Let o be z(3). Factor 67*h**4 + 0*h**3 + 2*h**2 + 4*h**3 - o*h**4.\nAnswer: 2*h**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(-2)\/3)\/((-2)\/(-47)). Let n = o - -70. What is the remainder when 137 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 8\/(4 - 8). Calculate the remainder when -2*c\/(-6)*96 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -818503 divided by 185?\nAnswer: -818503\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4128397 by -39.\nAnswer: -317569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/37, -2\/111 in increasing order.\nAnswer: -0.3, -2\/37, -2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 3*v**2 + 8\/3*v**3 - 1\/60*v**5 + 0*v + 0 + 0*v**4. Calculate the least common multiple of h(0) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 2)*(3 - 4 - 1)*(-4*a - 2*a + a) to the form o + d*a and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1056976 and 4188.\nAnswer: 1106653872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = -4*k + 116, -2*k + 4*m + 76 = 0. Let p = 45 + k. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 11*t = -228384. Is 22 a factor of (-2)\/9 - (t\/27)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.476 * 1.2\nAnswer: -5.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 9. Suppose -g*t = 4*m - 11, 0 = -0*m + m - 2*t. Let d be ((0\/(-1))\/(-1))\/m. Solve d*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -105418.\nAnswer: -8\/52709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 16. Let m(n) = -3*n - 16. Let b(r) = 3*h(r) + 2*m(r). Calculate the remainder when 69 is divided by b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3494 = -1108. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 39*k - 93. Calculate n(-39).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14.01 times -0.08\nAnswer: -1.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**2\/2 + 3*w - 93. Suppose 4*a + 14 = c - 8, -5*a - c - 32 = 0. Give u(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**7\/14 + 17*f**3\/6 + 13*f**2. What is the first derivative of p(v) wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i - 4. Let l be m(-3). Suppose 5*q = l*o - 41, 13 = -o + 5*q + 41. Let p = -8 + o. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-1)\/(-475))\/(2\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -39. Calculate the remainder when 159 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 482, 1063, 1876, 2921, 4198?\n\"Answer: 116*x**2 + x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z**3 + 545*z**2 - 1130*z. Let n(b) = 23*b**3 + 543*b**2 - 1130*b. Let x(k) = 5*n(k) - 6*p(k). Solve x(c) = 0.\nAnswer: -113, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 13*a**2 - 44*a + 15. Let k(u) = u**3 - 12*u**2 + 25*u - 14. Let j(d) = 3*k(d) + 2*o(d). Give j(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -3. Suppose 3*q = -4*s + 152, -4*s - q + 120 = -i*q. Let r = 59 - s. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129110*h**2 + 34861*h + 21 wrt h.\nAnswer: 258220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrzrzzrrrrrrz. Give prob of sequence zrr.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 8*h - 4. Let v be o(-6). Let u = -4179 + 4179. Solve v = 4*m - 7*m + 4*g, -5*g + 10 = u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqvlkk. What is prob of sequence lv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7257)\/(-3717) + 5\/(-3). Let q = 7.97 - 8. What is the nearest to o in 0.03, q, -5\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(2*6\/8). Let i = 36 + d. Suppose 4*g - b = 6*g - 14, 32 = 3*g - 4*b. What is the highest common factor of g and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 8869565.\nAnswer: 8869565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543.180248 rounded to 0 decimal places?\nAnswer: -1543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 12. Let s be d(0). Calculate the lowest common multiple of (-1 + 7)\/(s\/18) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*k - 6 = 0. Let r be (k + -3)*(-6)\/(-6). Let q(g) = g**3 - 3*g**2 - g + 3. Calculate q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2134713 is divided by 1067355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -17.3. Let l = 1.3 - f. Which is the second biggest value? (a) 2\/9 (b) 0.01 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -49*o + 51*o. Suppose -13*h = -4*h - o. Calculate the remainder when 4 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721054500 rounded to the nearest one hundred thousand?\nAnswer: -721100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 11:31 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 2, b: 1, d: 3}. What is prob of sequence dx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36765*m**5*n - 11*m**2*n + 34*m*n + 4*m - 2*n + 149 wrt m?\nAnswer: -735300*m**3*n - 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*m**5 - m**4 - 169*m**2 - 1021*m - 3 wrt m.\nAnswer: 340*m**3 - 12*m**2 - 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200.65 + -2.35. Let p = -203 - i. Which is the nearest to 0? (a) -5 (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239728?\nAnswer: 2, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arkrolakllaolllok. What is prob of sequence olk?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 597 by -6.\nAnswer: -199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = -i. Let g be 6\/i*(1 - 1). Solve -c = -3*c + y - 7, g = -c + y - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**8\/11200 + y**7\/4200 - y**6\/1200 - y**5\/200 + y**4\/4 + 2*y. Let b(h) be the third derivative of p(h). Factor b(s).\nAnswer: 3*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*p - 1046244 + 1002044 = 0 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:29 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4729102 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:37 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8028780 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose t*a - 4 = a. Suppose 2*j + 3*j - 22 = n, 3*n - j = 4. Solve -24 = a*c + 5*l, c + n*l + 18 = -l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -129.3 (b) 2\/23 (c) -2.509\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -417 (base 16) in base 6?\nAnswer: -4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvtbbsobbnb. Give prob of sequence bo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + sqrt(12)\/sqrt(6))**2 - -4*sqrt(8)\/sqrt(4).\nAnswer: -4*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/147223049 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*325\/(-20)*-4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2.2\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 18*u + 5. Let s be t(-9). Suppose s*k - 8 = k. Suppose -142 = -i + d, k*i + 0*d - 4*d = 288. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29982139 a multiple of 682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 70 = 95. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 644959 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -45*r**3 - 10*r**2 - 5*r. Let p(y) = -43*y**3 - 10*y**2 - 4*y. Give 4*l(f) - 5*p(f).\nAnswer: 35*f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8744, -17437, -26068, -34631, -43120, -51529, -59852?\n\"Answer: z**3 + 25*z**2 - 8775*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 10. Let p be b(13). Let r(i) = 2*i**2 - 4*i - 1. Let g be r(p). Suppose 5*s + 135 = g*n, 4*s - 12 = -2*n + n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*u, -7*u + 6*u - f = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2265 + -29460\/13. Let n = i - -49\/65. Sort -4, n, 0.5 in increasing order.\nAnswer: -4, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2416 = p. Suppose 3*k - p = k + 4*q, 4*q = k - 149. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**2\/7 + 22458*c\/7 - 7485\/7.\nAnswer: -3*(c - 2495)*(3*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 7*s + 960. What is i(-34)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/(-6))\/((-1)\/(-2)). Suppose 0 = 4*o + j - c, -3*o + 6 = -4*j - 5. Solve -3*w = -4*h, o*h - h = w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 8*x**3 - 3*x + 2*x.\nAnswer: -11*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = 10. Suppose 0 = -2*s - d + 20. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 287. Suppose -2*k - q - 2*q = -28, 4*k + 4*q - 60 = 0. What is the remainder when p(-59) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 23101?\nAnswer: 23103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/2 + -18. Suppose -v - 6 = -8. Factor i**3 - 1\/2 + 3\/2*i**4 - i**v - 3\/2*i + y*i**5.\nAnswer: (i - 1)*(i + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 27963?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 + 0*w**2)*(1 + 1 - 4)*(5*w**2 - 11 + 11).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 271*x - 4. Let o(r) = 89157*r - 1315. Determine 1315*m(q) - 4*o(q).\nAnswer: -263*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 376298 divided by 1066\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 4)*4\/(-3). Let r(p) = 18*p + 14. Let u be r(f). Suppose -x + 238 = 3*l, -4*x + u = l - 2*x. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -33337*s**2 + s. Let m(z) = -z**2 - z. Let l(r) = -6*m(r) + 2*q(r). Let w be l(6). Round w to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001404212 (base 5) to base 9.\nAnswer: 3650467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 45. Suppose 0 = 5*i - 6*i + 954. Let n = i - 951. Put n, -1, -2, l in descending order.\nAnswer: l, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 6*z - 3*z)*(621 - 1158 + 602).\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w - 0*w. Suppose 0 = w*i - 9 - 21. Suppose -5*t = -i*t + 90. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g - 108*g = -605 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/479795 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 144472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -454 + -183?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6812125 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 91*w**2 - 16*w - 25. Let t(g) = 23*g**2 - 4*g - 6. Let i(z) = 9*t(z) - 2*y(z). Is i(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + -6)\/((-2)\/3 + 1). Let t(n) = -n**2 + 6*n. Let a be t(z). Suppose 3*g - 6 = 2*b, a = 5*b + 3*g - 4*g + 2. What is b rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/20 + l**5\/30 + l**4\/6 + 5*l**3\/6 - 5*l**2 + 2. Is j(-4) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832b0 (base 12) in base 7?\nAnswer: 5454615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3 - 38*s + 4*s**2 - 3*s**2 + 31*s. Let v(h) = h**2 - 6*h + 4. Let w be v(5). Let p be w*(-1)\/((-2)\/(-12)). Calculate x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14*k**3 - 17*k**2 - 23*k - 24. Let y(t) = -11*t**3 - 17*t**2 - 22*t - 24. Let b(v) = 4*n(v) - 5*y(v). What is b(18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1590663 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 27000644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2\/1875, 0.04, -5\/3, 2, -0.02?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.52 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -861\/11 + 78. Let s = -31\/33 - n. Which is the closest to 1\/5? (a) s (b) 2\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 15) to base 2\nAnswer: 1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 23 = -3*y - 16, -5*y - 3*q - 7 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**29\/b**(-3\/7)*b\/((b**4\/b)\/b)*b**(-5) assuming b is positive.\nAnswer: b**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*i + 15. What are the prime factors of (i + 1 - -6) + 0 + 128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -38\/5087583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103345016 (base 7) to base 16.\nAnswer: 5e4aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -88210767914081?\nAnswer: 88210767914080.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 6*i - 8. Let g(c) = 9*c**2 - 7*c + 5. Let j be g(1). Let a(f) = -f**2 + 5*f + 7. Let v(u) = j*a(u) + 6*b(u). Determine v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4539078?\nAnswer: 2, 3, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-30) - 1\/6. Let m be 0\/(1 + 0 + l). Let t(z) be the first derivative of z**3\/3 + z**2\/2 - 2*z + 1. Determine t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4132, -6992, -9856, -12724, -15596?\n\"Answer: -2*s**2 - 2854*s - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 990.65 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let i(z) = 2*z**2 - 4*z + 1. Let d(l) = i(l) + 3*o(l). Let t = -16 + 10. Let c = t - -5. Let a(r) = r**2 - r + 1. What is c*a(m) + d(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 1*sqrt(720) + sqrt(720) + (sqrt(720) + -3 + 2)**2.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191253016780 - 191253016540.999999789. Let k = 0.036 + 238.964. Let s = k - j. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 93 - 150 + 9*f - 16*f + 11*f.\nAnswer: 4*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(288\/(-30))\/(3\/(-10)). Let f = -63 - r. What is the smallest common multiple of f and 2 + -3 + (3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 smaller than 0.59416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15146.541 months?\nAnswer: 126.221175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 - 6*u**2 + 3*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 0, 7*x + 4*s - 12 = 3*x. Suppose x = -21*w + 58 + 5. Solve l - 5 = 4*t, 0*t - 5*t = -w*l + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*7\/((-189)\/72)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98, 189, 282, 377, 474?\n\"Answer: c**2 + 88*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 + 8*y**2 + 4*y - 3. Let j(g) = -8*g**3 + 17*g**2 + 9*g - 6. Let d(z) = -2*j(z) + 5*r(z). Calculate d(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 + 4*n - 2*n**3 + 5*n**3 - 5*n**2 - 6 + 4*n**2. Let k be y(4). Let m = -16 - k. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - -41815161548970\nAnswer: 41815161548969.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6) - (-2492)\/2016) + (-21)\/168\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17270 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975 and 1425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72309 and 100?\nAnswer: 7230900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 856 and 47080?\nAnswer: 47080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 3, h: 3}. Give prob of sequence tthj.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 5*f**3 - 3*f**3 + (-142 - 37*f + 142)*(-217*f**2 + 18*f**2 + 10*f**2).\nAnswer: 6995*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2563700382 and 0.02.\nAnswer: -2563700381.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2. Let p(s) = 1064127*s**2. What is r(p(t))?\nAnswer: -5661831360645*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*y**2 + 310*y**2 - 122*y**2 + 65*y**2.\nAnswer: 545*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*k + 93*k - 2150. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l - 10*l + 4*l + 8*l**3)*(0*l + 0*l + 2*l + (l - l + 3*l)*(3 - 4 + 4)).\nAnswer: 88*l**4 + 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**2 - 121*o + 3023. What is the units digit of z(42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + 2. Let j = 0.14 + 0.1. Let o = j + 0.76. Which is the biggest value? (a) 2\/7 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 30*c. Let p(r) = 516*r**2 + 3784*r + 473. Let f(h) = h**2 + 8*h + 1. Let v(l) = 473*f(l) - p(l). Give v(i(x)).\nAnswer: -38700*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 = y, -5*y = 2*c - 4 - 11. Let -2*r**4 + 2*r**2 + 5*r - r - 4*r + 2*r**3 - 2*r**c = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000325275946 to seven decimal places.\nAnswer: 0.0003253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 7*z - s + 2, 5*s = -4*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3750*y - 6414*y + 2679*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 72. What is b(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 4*d + 8 + d**2 + 5 + 8. Suppose 2*y = 0, y - 303 = -4*h - 59. Calculate the remainder when h is divided by m(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -13\/3504395 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*s + s + 6, 2*h - 5*s + 4 = 0. Which is greater: -43\/14 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*r**5 - 51928*r**4 + 6*r**2 + 2*r + 509?\nAnswer: 1140*r**2 - 1246272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 9 - 1. Let o(u) = 3*u**2 + u + 5. What are the prime factors of o(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/7 of a week in days?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/(6\/90). Let w(d) = -6*d - 7. Give w(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 2. Let s(o) = 2*o - 2. Let a(r) = -4*j(r) - 3*s(r). Determine a(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j - 6. Let r(o) = -4*o + 3*o - 5*o - 7. Suppose -3*z = 9, -5*d = 5*z - 6*z - 18. Give d*r(a) - 4*q(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2491 + 24831\/10. What is the common denominator of i and 41\/105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 - 4*s**3\/3 + s**2\/2 - 3*s. Let m be g(8). Let i = 1 + 2. Do m and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8862 and -35\/78.\nAnswer: 115206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*s + 18*s + 30*s - 22*s to the form y + j*s and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -26. What is the greatest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y + 1. Suppose -3 = 2*z - 5*z. Is m(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3 = -6*g. Calculate the remainder when 13 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3440 by -86.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -28\/19*z - 2\/19*z**2 - 90\/19 = 0. Calculate z.\nAnswer: -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 32, 39, 46, 53?\n\"Answer: 7*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148488 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z**5 - 102*z**4 + 255*z**3 - 276*z**2 + 108*z = 0 for z.\nAnswer: 0, 1, 9\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 23 - (3 + (0 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-102))\/((-9 + 31)*559\/(-55341)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 2. Let i be t(-5). Let u(h) = -h - 5. Let l be u(i). Let j(w) = w**3 - 3*w**2 + 3. Give j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/14*875\/(-250).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 9. Let f be n(6). Let z = -3 + f. Let l(y) = -y**2 - 7*y + 1. Let u be l(-7). Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + 1.5. Let s = -2\/35 - -9\/35. Which is the nearest to -0.1? (a) -0.2 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 2 e when four letters picked without replacement from {e: 12, p: 1, v: 1, o: 1}?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -127894 at least -127895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6403 - 6406.939. Let n = 4.0997 + h. Round n to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 82 - 83 = 2*y, a = -2*y - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11721, -19005, -26289?\nAnswer: -33573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/4)\/(-1*(-4)\/16). Solve -5*d + q*g - 5 = 0, -3*d + 2*g - 7 = -3*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:04 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 5*w + 17. Let h be k(4). Solve 5 = -0*t - 5*t + h*g, 0 = t + 3*g - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 4*m + 927. Let v = m - -199. Calculate the smallest common multiple of v and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/4 + -27\/28. Suppose 6 = -5*m + v, -5*m + 139*v = 143*v + 26. What is the closest to -1 in m, 0.4, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41857, -42105, -42521, -43105, -43857, -44777?\n\"Answer: -84*f**2 + 4*f - 41777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 29*w - 1134 = 0. What is the least common multiple of w - (-6)\/((-15)\/(-10) - 0) and 8?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805415964?\nAnswer: 2, 3, 107, 627271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -4)\/(-1) - (-55)\/1. Let i(o) = -o + 2. Let h(t) = 12*t - 27. Determine q*i(v) + 4*h(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6412 and 1288?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 788\/7 + -112. Let m = 1 - 0.9. What is the nearest to m in -1\/2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-64)\/(-10))*(-20)\/(-6). What is the remainder when 167 is divided by (-51)\/(-3*1\/k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 + 4*k - 9. What is the units digit of r(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from fdfdffff.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 3*j**4 - j**4)*(-23*j + 19*j + 8*j)*(13 - 48 + 3).\nAnswer: -256*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-14) - -1) + 74\/((-159544)\/(-1092))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310608 is divided by 1310460.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 55?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b. Let g(l) = 78*l**2 + 5*l + 7. What is z(g(t))?\nAnswer: -390*t**2 - 25*t - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/(42\/8). Let l = 1 - 2. Let i be l\/((4\/(-3))\/4). Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 1 - 37*x + 10*x.\nAnswer: -24*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 382079 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 38551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 25 (c) -3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -338845287 bigger than -338845287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34147*r**2 + 14813 - 14813.\nAnswer: -34147*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35114 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 112, 103, 94, 85, 76, 67?\n\"Answer: -9*z + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12 + 2*c**2 - 3*c**2 - 7 + 8*c + 2*c**2. Let i be o(-4). Let r = -7 - i. Solve 0 = -3*t + 7*t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 - 4749298*a + 5638957873201 = 0. What is a?\nAnswer: 2374649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96.1 - 11983923629.\nAnswer: -11983923532.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5506.2 - 5506. Which is the closest to 2.9? (a) -1 (b) 0.5 (c) h (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -38. Solve -3*c + 5 = -p*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65814, -65812, -65810, -65808, -65806, -65804?\nAnswer: -65802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 v when three letters picked without replacement from {d: 2, o: 2, t: 2, l: 1, v: 3, j: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 11:11 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*11.0704.\nAnswer: -22.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(6\/(-2)) - -2. Suppose 0*v = -v + u. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960 = -353*q + 289*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -54. Let i = t + 246. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43996, 87994, 131992?\n\"Answer: 43998*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 3*n**4\/4 - 38*n**3\/3 + 57*n**2\/2 - 22*n + 34. Let v(f) = 0. What is f?\nAnswer: 2\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 0 + 3 - 5*p + p - 2*p**2. Let h be q(-4). Let r = h - -54. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n. Suppose n = -3*o - 4 + 22. Let b be (-1 - 2)\/9*-6. Solve 5*y = -4*c - 14, -y - o = 3*y - b*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*w**2 + 48*w**2 - 32*w**2 to the form f*w**2 + p*w + b and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -117?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9338 divided by -1334\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1563 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 4*b**2 + 3*b**2 - 5*b**2 + 2*b**2 + 3*b**4 in the form n*b**2 + z*b + y + c*b**3 + p*b**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6*p + 1017. Let o = p + 110. What is the tens digit of ((-8)\/16)\/(2*o\/1272)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 z, and 1 m when three letters picked without replacement from mhmiipmzphhzmmhzhh?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440 + 1306. List the prime factors of t\/(2*(0 - -1)).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 202. Let c(s) = -s**2 - 5*s. Let x(h) = -h**2 - 4*h. Let u(g) = 4*c(g) - 5*x(g). Calculate r(u(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 21 = -6. Let k be (0\/6)\/((-6)\/f). Factor 2\/7*m**4 + k - 2\/7*m**2 - 2\/7*m + 2\/7*m**3.\nAnswer: 2*m*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34835 or -32742?\nAnswer: -34835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 3, v: 3, x: 1, a: 2, e: 5}. What is prob of sequence nhae?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(304) + sqrt(304) + 1)*-2 + 2)*-1 + 3 + (sqrt(19) - (sqrt(684) - 1*sqrt(684))) + 0 + sqrt(2736) + sqrt(38)\/sqrt(2) + 2)**2.\nAnswer: 300*sqrt(19) + 17127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u - 9. Let y be q(4). Let m be (((-12)\/y)\/2)\/(3\/(-30)). Put 0, m, 1\/2, -3 in increasing order.\nAnswer: -3, 0, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -2*n + 5*n. Let p(f) = -f**3 + 6*f**2 + 10*f - 1. What is the remainder when n is divided by p(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62623 and 28465.\nAnswer: 313115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 9, 19, 35?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2)\/15) + (-797208)\/12060 + (-100)\/3350?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6884416*z**5 - 17017266*z.\nAnswer: -137688320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-8))\/((-78)\/(-260)))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 19 - 7)*(-10*c - 35*c + 6*c)*(6 - 8 - 7) to the form m + t*c and give t.\nAnswer: 9477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 21023407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i + 18. Let f be m(9). Let u = 778 + -508. Suppose 4*d - 5*d + u = 0. What is the greatest common factor of d and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30153950 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6916 or 6917?\nAnswer: 6917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 8, -852405*q = -852402*q - 3*w + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 6*n + 5*g - 50, 4*g = -5*n + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Suppose -t + s + 8 = 0. Let d = -4 + t. Is d at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 36. Solve 2*c + t*c = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5714733 (base 8) in base 12?\nAnswer: -62710b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8561.082 kilometers in nanometers?\nAnswer: 8561082000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*p - 386*p - 1870 = 0. Let m = -7 + 10. Suppose -p = -m*i + k, 0*i - 85 = -2*i - 5*k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18314 - 3940. Is d a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/401 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133823191?\nAnswer: 607, 1867913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/150)\/((-17)\/170). Let p(y) be the first derivative of 1\/6*y**4 + 0*y**3 + 0*y - 3 + 0*y**2 - g*y**5 + 1\/9*y**6. Factor p(z).\nAnswer: 2*z**3*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1384100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 912.1253 litres?\nAnswer: 912125.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*w + 30. Let h be w\/3*(-1)\/(-5). Let u = 0.02 - -0.08. Which is the closest to u? (a) h (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273875 divided by 4?\nAnswer: 273875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-15)*5 + (-16)\/(-6). Suppose 2*z - 3*x = 1, -2*x - 2 + 4 = -4*z. Let w be (-2)\/(-4)*2 + z. Solve -b - 3 + d = w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3060\/153*(-42)\/(-210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69557264 rounded to 3 decimal places?\nAnswer: 0.696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 49*k + 12. Let y be m(-49). Solve -5*g - 16*i + y*i = -17, 9 = g - 2*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 256 = 4*b - 4*r, -b + 64 = -2*r. Let u = -2\/28033 - -19763287\/308363. Let w = b - u. What is the nearest to 2\/5 in 1\/6, w, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(108\/336))\/((-8)\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 900630.9 months in years?\nAnswer: 75052.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a micrometer in nanometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juzpjpzjpuuujuu. What is prob of sequence ujzu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**4 - 415*n**3 + 615*n**2 + 15435*n + 29160 = 0?\nAnswer: -3, 8, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 9*v + 92. Let t be o(-15). Put -5, -4543, t in ascending order.\nAnswer: -4543, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4\/7 (b) -2\/13 (c) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -339*o**3 + 5*o**2 + 12*o - 18. Determine n(1).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*n*t**3 + 33122*n*t**2 - 33161*n*t - 16*t wrt t?\nAnswer: 126*n*t + 66244*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2120212020 (base 3) to base 7\nAnswer: -301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*u - 115*u + 754 = -263*u - 8976 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**5 + 111*o**4 + 4*o**3 + 3*o**2 - 286*o + 53 wrt o?\nAnswer: -240*o**2 + 2664*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 16*h - 14. Let m(u) = 8*u - 7. Let v(j) = -13*m(j) + 6*o(j). Let q be v(-6). Let w = q + -11. Calculate the remainder when w is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - 7) + 1 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 23*o + 9*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 148, -167, -608, -1175?\nAnswer: -1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11234658 divided by -1872443.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**3 - 1\/60*x**7 + 0 + 1\/120*x**6 - 1\/24*x**4 + 0*x + 7\/120*x**5 + x**2. Factor t(m).\nAnswer: -m*(m - 1)*(m + 1)*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115252529 to the power of 1\/2, to the nearest integer?\nAnswer: 10736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.34 in -5, 0.53, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c**3 + 7*c - 16*c**3 + 2 + 5*c**3 + 7*c**3 - 7*c**2 + 5*c**3. Determine i(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)\/q**3)\/(q*q**6*q*((q**5\/q)\/q)\/q)*q**(-2)*q**(-5)*q**6*q**3 assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3049*w**2 + 2*w + 5. Is z(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1. Let c(x) = -2*x + 2. Suppose -a = -2*m - 3, 2*m = 7*m + 10. Let f(d) = a*c(d) - 8*q(d). Is 4 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -96176, -1, -42 in ascending order.\nAnswer: -96176, -42, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:18 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*w - 20*w - 8*w**2 + (-w + 4*w - 5*w)*(0*w + 2*w - w))*(-24*w**2 + 45*w**2 - 23*w**2) to l*w + q*w**3 + z*w**4 + x*w**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 669627645 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13552*l**2 - 90*l - 2. What is the ten thousands digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 206590\nAnswer: -1\/206590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1064354?\nAnswer: 1064355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - k = 120, -3*g + 6*g + k = -70. Let i be 15\/g - 9800006\/(-10). Round i to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (4 + (-2 - 0))) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 + 11*t + 32. Let i be u(-4). Let z be i\/(-10)*5\/4. Factor 0 - 3\/4*q**4 - 3*q**3 - z*q - 15\/4*q**2.\nAnswer: -3*q*(q + 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 5*a**2 + 6. Let p be n(-6). Suppose 24*t = 18*t + 150. Let l = p - t. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 81 = 19. Suppose x + 4*x = z. Let t be 22\/(-8) + (-1)\/x. Let c(s) = -s**2 - s - 2. Determine c(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -386, -1541, -3462, -6143, -9578?\n\"Answer: s**3 - 389*s**2 + 5*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536 less than 2535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*l - 1 - 236*l**3 + 1106*l - 554*l.\nAnswer: -236*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/21 - 16*b**4\/7 - 370*b**3\/21 - 1004*b**2\/21 - 360*b\/7 - 400\/21 = 0. What is b?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 229 + -263.8. Let j = -37.8 - h. Put 2, 12\/17, 1\/5, j in descending order.\nAnswer: 2, 12\/17, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.5, 2\/13, -8\/5, -6121?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61659 equal to 61667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 11. Let r be o(6). List the prime factors of (-2 - r - 24)*-1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2488 and -39\/13256.\nAnswer: 4122616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -821 - -28483. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 184, 1606, 3028, 4450, 5872, 7294?\n\"Answer: 1422*h - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -3, 1, 1\/3, 0.2 in ascending order.\nAnswer: -72, -3, 0.2, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14126824.\nAnswer: 2, 31, 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -675.83306 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 33*j + 42*j)*(-8 + 24 + 9).\nAnswer: 1950*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -124835.68178 and -16.\nAnswer: -124851.68178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 973 = 327. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -512 equal to -602\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*n**3*r**2 + 24*n**2*r - 10*n**2 - r**2 wrt n?\nAnswer: -294*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 40033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/20 - 533*s**4\/4 - 284089*s**3\/2 - 6*s**2 + 51*s. Determine q, given that y(q) = 0.\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjsu when four letters picked without replacement from {s: 3, u: 3, o: 2, j: 7}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 3654.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 8 - 62\/22. Let w = -522 - -351. Let g = 169 + w. Which is the closest to 1? (a) n (b) g (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let j(w) = 9*w**2 - 2*w. Let z = 13 + -20. Let d(v) = -28*v**2 + 7*v. Let s(m) = z*j(m) - 2*d(m). Determine s(y(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131680 - 73952. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/56 and -27\/1036.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 274*b - 3130. Let z be w(11). Solve -25 = -5*o + 7*g - 2*g, -o + 5 = z*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.517 - 0.3843\nAnswer: -17.9013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 604, 568, 504, 406, 268, 84?\n\"Answer: -t**3 - 8*t**2 - 5*t + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - v + 1585 = 4*v, -2*b + 5*v - 625 = 0. Let s = 156 + b. Let o = s - -366. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (0 + 12 + 0). Let u = j + 33. Suppose 2*q + k = u, 5*q + 2*k = 6*k + 38. Calculate the remainder when 19 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**2 + 19*p**2 + 25*p**2 + (-5*p - p - p)*(5*p - 3*p + 0*p) + (0 - 3*p + 0)*(2*p - p + 0*p).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 8. Let w be t(-5). Suppose 5*m - b + 24 = 82, 30 = w*m + 3*b. Calculate the remainder when 82 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 less than 668549\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.13 or -37\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1269, 400 in descending order.\nAnswer: 1269, 400, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105461554 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -40478 divided by 282\nAnswer: -20239\/141","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1972206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -6. Suppose 2*l = 2*p + 16, 5*p + 4*l + 64 = 3*l. Let f be 2\/3 - (-2)\/p. Which is the closest to f? (a) g (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8678 by -1155.\nAnswer: -8678\/1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/629 and -47\/296.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 + j. Let x be 4 - 2*11\/(-2) - 0. Let s(g) = x - 15 - g + 0*g. What is n(s(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {t: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*m + 45. Suppose 3*z + m = 0, 0*z + z = -3*p - 104. Let s = -31 - p. Solve -l = b - 1 - 1, 2*l + s = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**15*x*x**(2\/37)*x assuming x is positive.\nAnswer: x**(-442\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 3. Let w(u) = 5*u - 1. Let v(a) = 3*a + 2*a + a**2 - 6*a. Let b(l) = -5*v(l) - w(l). Let n be b(-1). Give h(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1086 + 1104. Solve 0 = 9*l - 3*l - n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 - 0.03. Let i = r - -1.12. Let x = 3859\/13 - 297. What is the nearest to 0.2 in i, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 + x + 1. Let j be b(0). Suppose -3*c + 7 - j = 0. Find the second derivative of c*o**3 + 0*o**3 + 3*o - o**3 wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = 4*v + c + 4*c, -3*v + 5*c = -426. What is the remainder when v is divided by 3\/12*284\/1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001 (base 2) in base 3?\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.003 + -0.403. What is the nearest to 2\/3 in -0.3, s, 543?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = 2257*l - 2233*l + 31 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 0 = -3*z. Calculate the greatest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*f + 1893 = 683 - 1121. What is the nearest to -2\/25 in 0.3, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 205660 and 2262252\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/12277?\nAnswer: 2\/12277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -495*h + 203*h + 7798 - 1958 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:07 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 19*y - 530956. Calculate u(520).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 13. Let a(y) = 2*y**2 - y + 2. Let k be a(-2). Let n be m(k). Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7055\/188 (b) 4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-10) + -1)*(11 - 729\/54)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 27*n + 22. Let z be m(-4). Let f = z + 319. List the prime factors of f.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 - 6*w + 2. Let d be q(-6). Let t be (-2 + 3)*0\/d. Suppose 2*c - 4*u = -2*c, t = 3*u. Solve c = -4*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819984797 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237.4 - -693.1. Let g = x + -456. Which is the smallest value? (a) -16 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(85) - 5*(1*sqrt(85) + sqrt(85)) - sqrt(85))\/sqrt(5)*5.\nAnswer: -300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 912170 (base 10) in base 9?\nAnswer: 1640232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321 + -323. What is the nearest to -0.04 in -4, 4, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(4\/(-70))\/(2\/50). Differentiate -89 - u*d**4 + 759*d**2 - 57 - 761*d**2 with respect to d.\nAnswer: -40*d**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 13*r + 9. Suppose 12*v - 57 = -r. Solve -a - 2 = -5*g - 3*a, -4*g - v = -4*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a697 (base 11) to base 6\nAnswer: 2104100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3473 = -11*d + 6625. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -176 + -5?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99837.54cm to micrometers.\nAnswer: 998375400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 5*v**3 + 85. Let r(c) = -c - 77 + 77. What is z(r(g))?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1377574983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24512 (base 6) to base 16\nAnswer: -e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 131.927. Let j = m - -0.104. Let h = j + -0.03095. Round h to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 7. Let m be (-8)\/4*6\/(-4). What is the units digit of n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rutu when four letters picked without replacement from {r: 1, t: 8, u: 8}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, -4, -7, 3 in decreasing order.\nAnswer: 123, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 42*g**2 - 2 - 1 - g**3 - 28*g**2 + 5 - 15*g. Let o be n(14). Let w = -39 - o. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:33 AM?\nAnswer: 509","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-15)*8\/((-48)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/13420 and -33\/40565.\nAnswer: 1784860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-30 - (0 + -14))) + 75?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 2219 - 6669 = 0. Is 56 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686747, -686798, -686881, -686996, -687143?\nAnswer: -687322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)\/(o\/(o\/o**(-12))))**(-33)*(o**5\/o*o*o**3*o)\/(o**(-8)\/o*o**(-4)*o) assuming o is positive.\nAnswer: o**(-1842\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/10*(-12 - (-29 - -7)). Let m be o\/4*(-60)\/(-18). Which is the third smallest value? (a) m (b) -1 (c) 1 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + w + (3*w + w - 3*w)*(0 + 2 - 1) + 0*w + 3*w + 3*w)*(0*w + 2*w + 0*w) as p*w**2 + a + t*w and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 147500000 to the nearest 1000000.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.73 rounded to 0 dps?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11111 (base 2) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let t(u) = -69*u - 54. Let i(g) = -23*g - 19. Let v(y) = -17*i(y) + 6*t(y). Determine v(a(f)).\nAnswer: -23*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1830*b**2 - 167*b - 4. Let z(l) = -2*l. Give w(z(s)).\nAnswer: -7320*s**2 + 334*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -972997.638 rounded to the nearest one thousand?\nAnswer: -973000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*k)*(0*k**3 - 2*k**3 + 3*k**3) + 5*k**4 - 6 + 6 - 5*k**2 + k**2 + 14*k**2 - 2*k**4.\nAnswer: k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -8 + 2 + (11 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -35*p**3 + p + 4. Suppose 5*z - 5 = 2*z - 4*u, 4*u + 23 = z. Let q(j) = -69*j**3 + 2*j + 7. What is z*g(d) - 4*q(d)?\nAnswer: 31*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((7\/84)\/(2\/6)). Sort g, 3, -5 in ascending order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 37*n - 240. Let o(r) = 10*r**2 + 96*r - 11. What is the remainder when o(n) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 156 = -12*b. Let a(z) be the third derivative of z**6\/120 - 7*z**5\/60 - 3*z**4\/8 + 11*z**3\/6 + 2*z**2. Is a(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.09 - 22. Let d = -0.09106 + i. What is d rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 - 4*t**2)*(4 - 4 + 3*t + (2 - 5 + 1)*(2 - 2 - 2*t))*(2*t - 4*t + 0*t).\nAnswer: 42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*d**2 + 4*d**3 - 94*d**2 + 3*d**3 + 2*d**4 wrt d?\nAnswer: 48*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*z**2 - 4*z**4 + 0 + 5*z**2 + z**4 to b + y*z + c*z**2 + a*z**4 + k*z**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + t**2 - 1. Let m be q(1). Let g = 40 + -43. Sort g, m, -2 in increasing order.\nAnswer: g, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvlmlmbllimmb. Give prob of picking 1 l, 1 n, and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 + 2*z - 1. Let l be b(1). Is -2 - (3 - l) - 1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3450, -3439, -3424, -3405, -3382?\nAnswer: -3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 55*r - 8. Calculate c(-3).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-98)\/(-3). Suppose 17*z = 204 + 306. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.9728 + 41. What is y rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106204\/73 <= -1454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*y - 104 = 0, 47 = -2*c + y - 57. Calculate the common denominator of (5 + -6)\/(10\/c) and (-4)\/(-26) + 4430\/780.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + -4 + 34 + (-4 - 0 - -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56610 (b) -0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 4*y**2 + 6*y - 4. Give t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o**2 + 4*o + 9. Is y(-6) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. What is the greatest common divisor of m and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7614)\/(-10) - 16\/4. Let p = n - 772. Let o = 181\/10 + p. Is 4 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -488*h - 2438. What is the smallest common multiple of 1194 and j(-5)?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194.07 + -196. Let z = 0.07 - n. What is the second smallest value in z, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1466080*u**3 - 1462999.\nAnswer: 4398240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-7 + 7)) + 94. Let v(d) = -7*d**2 - 93 - u + 183. Let m(q) = 2*q. Give m(v(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 15*a - 32. What is the lowest common multiple of 2 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/24771314?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 - m + 1. Suppose -3*c + 35*o + 5 = 34*o, -4*c - 4 = -4*o. Let d(g) = 23*g**3 + 3*g**2 + 2*g - 3. Give c*z(q) + d(q).\nAnswer: 20*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/22)\/((-16)\/(-88)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-20*y + 6*y - 3*y) to c + u*y and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 588 - 1727. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -386, -569, -736, -881, -998, -1081?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26396027*n**2 - 7905413 with respect to n.\nAnswer: 52792054*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-12) + (-1)\/(-4). Let u = n + 4. Factor 0*p + u*p**2 - 4 - 2*p + 0*p + 0*p.\nAnswer: 2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1644)\/(-54))\/(9\/((-81)\/(-96))) and -143\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529, 4, -1573, -4202, -7883, -12616, -18401?\nAnswer: -25238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330241 + -41?\nAnswer: -330322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.184.\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1094883 and 10?\nAnswer: 10948830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 295. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 297*k*r**2 - 7*k*r + 137*k + 4602*r**2 + 121*r + 3 wrt r?\nAnswer: 594*k + 9204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 994 or 999?\nAnswer: 999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4961.09 + 4961. Which is the closest to m? (a) -5 (b) -2\/3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 35 + 10. What is the remainder when 23 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 90271176 and 0.12?\nAnswer: 90271175.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1254 + -697. List the prime factors of c.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*((-2 - 2 + 5)*(-1 - 2 + 5) - 2 - 1 - 5)*(-5*n**2 + 11*n - 11*n).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 5*d - 11 = 8*w, 0 = w - 3*d + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2717*u**2 + 38*u + 84. Let a(v) = -1358*v**2 - 20*v - 46. Let o(k) = -11*a(k) - 6*b(k). What is the second derivative of o(l) wrt l?\nAnswer: -2728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.8076 millennia in centuries?\nAnswer: 4948.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c - 29294?\nAnswer: -29246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.094 + -0.094. Let x = u + -10. Let d = x - 46.00000053. Round d to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 7829*n**4 + 7825*n**4 - 1 + 3*n + n**2 to the form h*n**3 + b*n + a + v*n**2 + t*n**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*o*x**2 + 7*a**2 - 61162*a*x**2 - 20134*o*x**2 with respect to o.\nAnswer: -3*a**2*x**2 - 20134*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -1405*h**2\/2 + 160*h - 1146. Differentiate v(r) with respect to r.\nAnswer: -1405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 16.6, -5, -56?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = -1. Let p be u\/3 + (-388)\/(-12). Let t = p - -3. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -92 (b) -28 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-6)\/(-9)*(0 - -3). Let c = 5 - 2. Suppose c*s - s = 5*z + 9, 4*s - 12 = 4*z. Solve s*a = -4*i + 14, 4*i = -l*a + 12 + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9510 is divided by 74.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -22) + -1 + 5 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 9. Let p be (v\/(-16))\/((-33)\/(-3542)). Let h = p + -41\/6. Find the common denominator of h and 8\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5813\/5*123 - 5\/(-25). What is q rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 3008331.\nAnswer: 6016662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12784 and 288864?\nAnswer: 13576608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373239?\nAnswer: 3, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 484 = 218 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 1)*1\/(-2). Calculate the lowest common multiple of 0 + s + (-1)\/(-1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27025401 and 901.\nAnswer: -27024500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-4*z + 17 + 3*z + 3*z).\nAnswer: 4*z + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obb when three letters picked without replacement from {x: 1, o: 2, y: 1, b: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -12 - 3. Suppose c = 3*z - 0. Suppose 0 = 2*r - h - 59, -149 = -z*r - h + 4*h. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.349543823 rounded to 4 decimal places?\nAnswer: -0.3495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32227.7 - -32228. What is the biggest value in r, -2, 49\/6?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (0 + -5 + (51 + -23 - 17))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 25*a**4\/12 + 42041*a**2. Let u(j) = j + 1. Let y(k) = -k**2 - 4*k - 4. Let l(h) = 4*u(h) + y(h). Give l(i(c)).\nAnswer: -2500*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080399 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(567) + -1 + 0)**2 - (-2*sqrt(56)\/sqrt(2))\/(-6*(sqrt(16) - sqrt(4)))) + -3.\nAnswer: -55*sqrt(7)\/3 + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*u - 4632, -3483 = -5*u + 4*q + 4201. Let j = 6321 + u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + 7*g + 2. Let r(q) = -4*q**2 + 6*q + 2. Let i(m) = -5*h(m) + 6*r(m). Is i(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, 2125, 4 in increasing order.\nAnswer: -3, -1, 0, 4, 2125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/313, 2 in descending order.\nAnswer: 2, -2\/313, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 485385 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 20528*t. Let m(r) = 25*r**2 - r + 9. Calculate m(k(c)).\nAnswer: 10534969600*c**2 - 20528*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*w = 2*w - 519, 0 = 5*w - 10. List the prime factors of v.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363 - 137. Let s = -128 + h. Let j = s + -97.999625. What is j rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/1080)\/((-60)\/(-18630)))\/(1*2\/(-2))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:24 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 + 7*c - 1. What is s(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaoatoaboa. Give prob of sequence bto.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588244 is divided by 16340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 2, q: 4, k: 1, g: 1, f: 3}. What is prob of picking 1 q and 1 n?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.5 (c) -6605\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1929*f**2 - 44357*f - 230.\nAnswer: (f - 23)*(1929*f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301.18 + -26743363.59.\nAnswer: -26743664.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 750639.5 tonnes to kilograms.\nAnswer: 750639500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*z - 6*z = 6, -3*v + 9 = 3*z. Let w(x) = x**2 - x - 1. Let m be w(v). Suppose -q + 3 = m*a - 37, -8 = -2*a - 2*q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62514573.\nAnswer: 3, 11, 1894381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -2.1, 2\/9, -5 in decreasing order.\nAnswer: 2\/9, -1\/11, -2.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7000044 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttktktkkttttkkt?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3*i**2*p + f**3 + 2689*f**2*i**2*p + 199*f*i**2 - 4*i**2 wrt p?\nAnswer: f**3*i**2 + 2689*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*r = -7 - 8, 4*r = 21*o + 9 + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*v - 206*v + 3882 = 0. Find the third derivative of -168*m**6 + 14*m**2 - 644*m - 61*m**6 + v*m wrt m.\nAnswer: -27480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172178683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = -3*x. Let o = x - 3. Solve o*j + 29 - 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/50 - ((-11286)\/1100)\/(-19))*34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 + -1150)*90\/(-21) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(3\/(-6)). Let x = a - -3. Let h(i) = 2*i**3 - 2*i**2 + 3*i - 2. Let b be h(x). Solve c - b = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27549730873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0.07, 0, 114?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, d: 2}. What is prob of picking 2 b and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/35)\/(3\/((-90)\/(-1))). Suppose 29*n = m*n + 195. Calculate the remainder when n is divided by (3\/(-2))\/(2\/(-28)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(3\/1))\/(-2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -43.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -21, -45, -87, -153, -249, -381, -555?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -f + 4*o + o, -2*f = -5*o - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -9. What is the lowest common multiple of x and (20 + 1)*((-15)\/(-35) - 3 - -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 15 - 22 - 311*b**2.\nAnswer: -311*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.78523*-1\nAnswer: 0.78523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 3*j**2 - 3*j**2 + (1048*j + 554*j - 445*j)*(-j + 2*j + j) in the form c + y*j**2 + w*j and give y.\nAnswer: 2315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/4 + g**2 - 5*g\/4 + 1\/2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*y + 27, 237*g - 234*g = -4*y + 40 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**2*k**3 - 2*b**2*k - 4*b*k**4 - 2*b*k**3 + 1019*b*k**2 wrt k?\nAnswer: 48*b**2 - 96*b*k - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggvf when four letters picked without replacement from ggggvfvfggggg.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03249 and -1?\nAnswer: -0.03249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/15)\/((5\/(-15))\/(10\/(-24)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -144, -146, -180, -252, -368, -534, -756, -1040?\n\"Answer: -a**3 - 10*a**2 + 35*a - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356403 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30126733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 5) to base 11.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 36, 11, 0 in ascending order.\nAnswer: -5, 0, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x - 25 = 0. Suppose -x*h + s + 122 = 0, -4*s + 3*s - 98 = -4*h. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w + 5*g = 7, 3*g + 6 = 0. Suppose w*c - 4 = 16*c. What is the tens digit of -20*(1 + -6 + c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.13 and 1766.7548.\nAnswer: 1766.8848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1023007 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 490982280 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*o, 5*o + 23 - 26 + 138 = 19*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1277 times 11\nAnswer: -14047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.11, 1\/12, -0.4, 7, 78, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-21)\/9)*57. Suppose 5*q + h = 3*x, -3*x + 0*q - 1 = 5*q. Suppose -t = -2*b - 6, -5*b - 7*t = -5*t - x. Put b, -2, 5 in increasing order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*z - 24 - 24, -2*z + 15 = a. Let g = -157 - -287. Let i = g + a. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/392*-1*((7 - (1 + 0)) + -4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -12 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 54*f - 421. Determine t(11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k - 46*k + 20*k + 7 + 2*k**2. Let y(a) be the second derivative of a**4\/12 - a**3\/3 + 2*a**2 + 3*a. Let d = 14 + -11. Calculate d*v(c) - 5*y(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 2*c**2 - 5*c - 5. Suppose -2*o = 4*q - 34, -3*q - 3*q = -3*o + 111. Calculate the remainder when n(-4) is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b**2*b*b)\/(b**(-3)\/b**20) assuming b is positive.\nAnswer: b**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v + 4*m - 44536 = 0, 6*m = -v + 8876. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, q: 6, v: 1, u: 6}. Give prob of sequence upq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -87) + 1715\/(-35)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400846073 is divided by 535?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/29)\/(d*d*d\/(d\/(d**(-45)\/d)*d)*d)*d**(-8\/9)\/(d\/(d\/d**(-10\/11))))**(2\/115) assuming d is positive.\nAnswer: d**(252368\/330165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -2, 1, 306, -1, -4 in decreasing order.\nAnswer: 306, 55, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -0*b + b + 11, 5*p + 1 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 265*d**3 - 2*d**2 - 653*d + 843706.\nAnswer: 8*d**3 - 795*d**2 - 4*d - 653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202559 - 118129. Suppose 6*c = 7250 + j. What is c rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)*((-9)\/42)\/(-3)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:34 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from sssskskgsgsggssgsgs?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v - 7. Let a be 6*((-5)\/v - -4). Suppose -3*b - 5*o - a = 0, -3*b + o - 3 = -6*b. Which is greater: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from dldswswssswl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 3*d**2 - 7*d - 5. Let b be 0\/4 - (1 + 4 + -1). What is k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.418 + -0.082. Let x = i + 1.5. Let l = -26.5 - x. Round l to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 16*m + 5*a + 4371, 2*a = -2*m + 2930. Calculate the highest common factor of m and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/2 + 1. Suppose 0 = -2*y + 4*y - n - 10, n = -2. Let k = 0.015 - 0.215. Which is the nearest to o? (a) 1 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -164, -331, -498?\n\"Answer: -167*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - s**2 + 0*s**2 + 2*s + s**2 - 2*s + (2*s - 3 + 3)*(2*s - 5*s + 5*s) + 22*s**2 - 144*s - 2 + 145*s + 25*s**2.\nAnswer: 54*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 89. Suppose -l*i = -45*i + 90. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*k + 90. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose -10 = -k + 2*c - t*c, -5*c = 10. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)\/v*v*v*v\/(v**1*v)*v)\/(v*v\/v**(-3)*v*v**(2\/5)\/v) assuming v is positive.\nAnswer: v**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 1.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36454634*r**2 + 72*r + 34213 wrt r.\nAnswer: 72909268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -515 + 515. Suppose m = -9*l + 328 + 1049. Calculate the lowest common multiple of 8 and l.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122065812 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 2. Let p(q) = -2*q + 1. Let d(m) = -m. Let f be d(-2). Suppose 3*w = f*w - 7. Calculate w*p(k) + 3*o(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.77 + -13.7. Let f = -38.93 - -39. Let x = f - d. Which is the closest to -1\/2? (a) 1 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4303023 (base 5) to base 15\nAnswer: 16628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*y - 125 + 125 + (3 - 3 - 2)*(-3*y + 2*y + 3*y))*(y**4 - 3*y**4 + 0*y**4).\nAnswer: 104*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92\/11*d**3 + 6*d**4 - 18\/11*d - 18\/11*d**5 + 60\/11*d**2 + 2\/11.\nAnswer: -2*(d - 1)**3*(3*d - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/12*3\/2. What is the units digit of (-6)\/l - (4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457032939 a multiple of 5459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425384378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 2\/23, 0.2, -0.518?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 6*o - 6 + 5. Let k(q) = 8*q - 2. What is the lowest common multiple of w(3) and k(2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l - 26. Let z be m(3). Suppose -2*v - 3 = -v. Sort z, v, 0 in decreasing order.\nAnswer: z, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448361960 to the nearest integer?\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1135 or -65984?\nAnswer: 1135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459795 divided by -65685.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*z + 174 = 0, 4*j - j = -3*z + 261. Let c = j - 88. What is the nearest to c in 5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2440*h = 2455*h - 1890. Calculate the lowest common multiple of 2 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*m - 69 = -624*m - 4*z, 2*m = z - 12. Factor 115\/6*v + 5\/6*v**5 - 20\/3*v**m + 10\/3*v**4 - 25\/3 - 25\/3*v**2.\nAnswer: 5*(v - 1)**3*(v + 2)*(v + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-83)\/(-9) - 2\/9. Let u = -29 + 41. Suppose w - u = 6. What is the highest common divisor of i and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v + 7, 0 = -5*k - 3*v + 29. Suppose -5*s + 2*y + 1361 = 0, -k*s + 1082 = -0*y - 5*y. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(272) + 5)) + -3.\nAnswer: -3*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, f: 2, x: 3, i: 2}. What is prob of sequence xin?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 1545, 2769, 3993, 5217, 6441?\nAnswer: 7665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - (-3 - -2). Suppose 0 = -5*y + 2*c + 109, -3*c - 115 = -5*y + u*c. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 48*d + 3872. What are the prime factors of f(-7)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/15 - 192\/(-90). Which is the nearest to x? (a) -13 (b) -2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 8. Let b be h(-10). Let y be (0\/(2 + -1))\/b. Suppose -4*w - 2*n + 4 = y, -2*n = -4*w - 5*n + 2. Solve w*r - r = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -111*(-4)\/84 - (6 - 1). What is the closest to 2\/5 in 3\/2, c, -5\/3, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986648.\nAnswer: 2, 13, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33201.\nAnswer: 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 bigger than 7847704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 744238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o**2 - 593*o**3 + 3*o**2 + 179*o**3 + 251*o**3 + 165*o**3.\nAnswer: 2*o**3 - 46*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84.6 - -85. Let g = 0.2 - 0.1. Which is the closest to -1? (a) g (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 + 4 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db57d - a?\nAnswer: -db587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*1776.\nAnswer: 1065.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1460 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/4 + 173*o - 693\/4 = 0. What is o?\nAnswer: -693, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 373 + 331 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k*k*((k*k**(1\/5))\/k)\/k)\/(k*k**(-2))**34)**35 assuming k is positive.\nAnswer: k**(4963\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19190+5874.86\nAnswer: -13315.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - (6 + 29)) + -67 + -19.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85536 and 14589234?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -66 + -11 + -1 + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 185*j**2 + 127*j + 1132. What are the prime factors of p(-14)?\nAnswer: 2, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 7*p**2\/2 - 3*p - 6. What is the derivative of y(f) wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 42*i**4 - 24453*i**3 + 3097656*i**2 - 3730677*i + 657432 = 0.\nAnswer: 3\/14, 1, 184, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 > 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 314 - -302345?\nAnswer: 303103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenennrnnveknrevvhv. What is prob of sequence nk?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105627 is divided by 21122.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/176 - -3\/176. Factor -2\/11*f**3 + 6\/11*f**2 - 6\/11*f + r.\nAnswer: -2*(f - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 46*w**3 + 3*w**2 - 5*w + 7. Let t(p) = p + 14. Let d be t(-12). Is y(d) 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 1950 and 45?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 79*o**2 + 0*o - 2517 - 7*o**3 + 2519 - 2*o**4 in the form a*o + n + l*o**2 + i*o**3 + s*o**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-30)\/(-7) + (-30)\/105. Find the first derivative of 8*f**4 + 5*f**w - 3 - 5*f**4 wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/18 - 63030\/(-54).\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25411125.\nAnswer: 3, 5, 67763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 3:12 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z + 378 = 0. Let h = -4519\/12 - z. Find the common denominator of -65\/18 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 13) to base 12\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*(-1)\/2. Let x = 9 - 15. Sort -2, x, o in descending order.\nAnswer: o, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 5*c - 20, -h - 4*c = -58 + 42 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 149, 150, 151?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:12 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d**(1\/4)*d*d)**(-4\/5)*(d*d**(-2\/5)*d)**(3\/13)*(d*d*d**(2\/5)*d*d)**(-19\/6) assuming d is positive.\nAnswer: d**(-2996\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 847531.9ml in litres?\nAnswer: 847.5319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3384369 - -3096697991\/915. Let b = 2\/183 + g. Factor b*f**2 - 2\/5 + 0*f.\nAnswer: 2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p - 6*p - 14 + 22 to z*p + k and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f - 7*f - 15*f)*(5 - 5 - 2).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809051941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*u**2 + 220*u**2 + 207*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:44 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**3\/3 - 3*y**2\/2 + 9*y - 6580. Calculate t(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - o + 1. Let z = -13 + -1. Let s = z - -12. Determine k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12\/y)\/y*(y*y\/(y\/(y\/(((y\/(y**17\/y))\/y)\/y))*y))\/y*(y**(-42)*y)**17 assuming y is positive.\nAnswer: y**(-670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177.99999388 + -178. What is o rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 372*g**2 + 36*g**3 + 7*g**3 + 5*g**3.\nAnswer: 40*g**3 - 372*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 29316.\nAnswer: 58632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/(-55))\/(20\/100))\/(-26).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgg when four letters picked without replacement from wgggggwgww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 4 in ascending order.\nAnswer: -12, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1008 and 40106832?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + j = 79*b - 34*b + 7, -4*j + 28 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Suppose t*l - 7 = -i, -2*i + 0*i + 8 = 0. List the prime factors of (-26)\/(0 + -2) - l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**3 + 1 - 1.\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/44826 and -95\/62496?\nAnswer: 15061536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/11 or -2109?\nAnswer: -46\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 3*q**2 - 54 + 2*q**2 - 16.\nAnswer: q**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 4*r + 6. Let v be i(5). Solve -3 = -2*l - v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let r be b(-1). Suppose r = -4*a + 8 + 12. Let g = 1101\/5485 - 4\/5485. What is the second smallest value in a, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 + -1553.\nAnswer: -1552.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (5\/(-6)*2)\/(3\/(-306))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -10. What is the least common multiple of d and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 21*d + 128 + 63 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 435.12.\nAnswer: 3045.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -60*z**5 + 800*z**4 - 2035*z**3 + 265*z**2 + 880*z - 300 = 0?\nAnswer: -2\/3, 1\/2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0018 * 1188250.\nAnswer: 2138.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(2*sqrt(5) + 5)*3 + (sqrt(45) + -1 + (sqrt(25)*3)\/sqrt(5))*2)**2.\nAnswer: 4176*sqrt(5) + 9844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.5, 2, -4\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:03 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*q = 1143, -3*o + q + 831 = -4*q. Suppose -734 = -4*t - o. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 7*b**2 + 5*b + 4. Let w be n(8). Let x(f) = f**2 + 17*f - 38. Calculate the least common multiple of 6 and x(w).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 3447627*j**2 - 6895263*j - 3447633.\nAnswer: 3*(j - 1149211)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -111. Sort -0.5, 0.4, r in decreasing order.\nAnswer: 0.4, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 25 = 5*t + 3, -t - 3*f + 2 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -71, 98, 351, 718, 1229, 1914, 2803?\nAnswer: 3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, i: 13}. Give prob of picking 1 i and 3 x.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 smaller than 3187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 5*n + 5*h = -30, -n - 14 = 4*h. Find the second derivative of -38*c - 193*c**n - 9*c - 33*c + 19*c - 27*c wrt c.\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from {n: 1, e: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 4107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (670 - 685)\/(-1 - (-35)\/20)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 13}. What is prob of picking 2 t?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -138, 200 in decreasing order.\nAnswer: 200, 7, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 726 - 1000 + 2096 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3280015222840 and -4?\nAnswer: 3280015222844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd00 + -376?\nAnswer: b968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111889*p**2*z**3 - 22*p**2 - 49*z**6 - 2*z**2 + 2*z + 138430 wrt z.\nAnswer: -671334*p**2 - 5880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {u: 8, a: 2, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 7658*j + 369120.\nAnswer: -2*(j - 11535)*(j + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 80*g**3 + g. Let j be c(1). Let x = 126 - j. What is the remainder when 223 is divided by x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1290 and 145\/2576388.\nAnswer: 12881940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 18 + 3 = 0. Sort v, 4, 1.6, 1 in descending order.\nAnswer: 4, 1.6, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1752 + 19271\/11. Sort -1\/4, 0, y, 5, 4 in decreasing order.\nAnswer: 5, 4, 0, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-8) + (-49)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 2, c: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/23, 35\/38, -4?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128644621817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140286*c**2 + 140579*c**2 - 280836*c**2.\nAnswer: 29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 18 - 6 = 0. Let b(j) = -j - 7. Let k be b(c). Solve k = -x + 2*u, 4*x = 3*u + 2*u - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:18 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(35)\/sqrt(5) + sqrt(7))**2 + (sqrt(7) - (3 + (sqrt(35)\/sqrt(5))**2)) - (1 + (sqrt(700)*3)**2).\nAnswer: -6282 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -16*z - 241. Let h be y(19). Let c = 559 + h. Solve -19*a + c*a = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + -3.4. What is the second biggest value in -0.3, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -7 + 3 + -4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 2 - (13 + -31 - (33 - 31)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16554 - 50?\nAnswer: -16634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u + 12. Let c be f(-6). Let j = c + -66. Solve -g - g + 10 = j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 5:10 PM?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0*y**4 + 2\/945*y**7 + 23*y**2 + 0*y + 2\/135*y**5 - 1\/90*y**6 + 0 + 0*y**3. Find s such that l(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -12. Let v = t - 11. Suppose 1 = u - v*m - 1, -50 = -4*u - 5*m. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 - 161 - 703)*(-1 - 2 + 1)*(2*w**2 - w**2 - 7*w**2)*(1 - 1 - 3 - w) in the form b + y*w**3 + d*w**2 + h*w and give d.\nAnswer: 28260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 447975 and 3952575.\nAnswer: 715416075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, z: 13}. Give prob of picking 4 z.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -477798\/12985 - 10\/2597. Let d = 93 - 56. Let q = d + k. What is the smallest value in -2, 5, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 8 = -8*q - 5*g, -2*q + g = -5. Suppose 22 = q*m + 4. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-225)*5)\/(5\/(-15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x + 52 + 803 = 0 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {f: 10, b: 2, n: 2, m: 6}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5211251 rounded to 2 dps?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 352 + -110.3. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 662*m - 6612\/5 - 2\/5*m**2.\nAnswer: -2*(m - 1653)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/440 and 70\/99.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000525152 to five decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 81 + 77 + 4*o)*(-2*o**2 - 3 + 3).\nAnswer: -16*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 214399813 a multiple of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 7. Let z be s\/(-10)*(-2 - 0). Let d = -11\/30 - 3\/10. What is the second smallest value in -1, z, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5860 and 11720.\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401424 - 43012?\nAnswer: -444441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19863.\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63153 or -63150?\nAnswer: -63150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48111 and 0.88.\nAnswer: -42337.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*d**4*n**2 + 26*d**2*n**3 - 2*n**3 - 289 wrt d.\nAnswer: -156*d**3*n**2 + 52*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s - 3*a = -9, a = 3. Suppose -t = 3*k - 28 + 15, -t + 2*k + 3 = s. Solve -t + 19 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9684143.\nAnswer: 7, 1383449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 63. Which is the biggest value? (a) -1\/7 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r. Let o = 2824 + -1640. Let m(f) = f**2 - 1184 + o. Determine m(j(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 10*h**2 + 0*h**2)*(0 + 0 - h**2).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Solve b*r - 4 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 + 2. Let k(c) = c**3 + 8*c**2 + 3*c + 45. Let d be k(-8). Let p be ((-6)\/d)\/(-8 + 9). What is the third biggest value in 0.1, 1, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = u + 2*y, 3*u = 3*y + 54. Suppose -54 + u = -2*p. Suppose p = -17*q + 18*q. Solve 4*k + q = 9*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 28 = -6*i. Suppose -4*n - 3*p + i*p = -2358, -3*n + 1753 = 4*p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-50)\/(-15) - 4). Suppose 0*s - 4*s = -4*b - 44, i*s + 3 = 0. Does 5 divide (-136)\/(-3) + 4\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152\/9 + 1082\/63. Factor -u*x**3 - 2\/7*x + 0 + 4\/7*x**2.\nAnswer: -2*x*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - 1*1*sqrt(28))\/((sqrt(32)\/sqrt(4))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 334 = -5*q, -8*q + 270 = -4*q - 3*c. Calculate the greatest common divisor of 781 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 59 + 37. Calculate the common denominator of (-78)\/i - (-2 + 1) and -1 - ((-47)\/(-18) + -1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -20*w + 1. Let t be p(-1). Suppose k + l + 0*l = -t, 29 = -k - 3*l. Which is greater: -18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 31*a - 20. Let s be p(12). Let g = s + -67. Let j(w) = -6*w + 5. Let o(f) = 17*f - 14. Determine g*o(y) - 8*j(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 4. Let g be k(11). Let p = 22 + g. Let o = 111 - 114. Sort p, 5, o in decreasing order.\nAnswer: 5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3 + 74*r**2 - 585*r = 0.\nAnswer: 0, 9, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -99*t + 88. Let y(l) = -l + 1. Let x(d) = 3*i(d) - 264*y(d). Let s(f) = f**2. What is x(s(n))?\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4)*(1 + 7 - 12)*(-2 + 4 + 0)*(-750 - 121*m + 750)*(1 - 2 + 3) to the form g + o*m and give o.\nAnswer: 3872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 11:22 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 - 5*d**2 + 5*d**2)*(1 - 8 + 25 + 8 + 51) to the form u + m*d**2 + y*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52746607393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7222 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 365592.\nAnswer: 9870984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -7, -2, 2, 3 in decreasing order.\nAnswer: 23, 3, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**(-23\/2)\/(m**(1\/2)\/m)**(-2\/43) assuming m is positive.\nAnswer: m**(6921\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Let k = 30 - 21. Let h(q) = -q**3 + 8*q**2 + 7*q + 13. Let m be h(k). Sort m, -6, z in descending order.\nAnswer: z, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 minutes before 5:52 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-5)*d)\/d))\/(d**(3\/7)*d))\/(d*d**(-1)\/d)**(-45) assuming d is positive.\nAnswer: d**(-283\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62239\/45 - 1383. Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68792, 68791, 68790, 68789?\nAnswer: 68788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 - 4*a**2 - 6*a + 6. What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:20 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12468600421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81826894 to the power of 1\/2, to the nearest integer?\nAnswer: 9046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3817 + -558. List the prime factors of z.\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 30 - (0 + 15 + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 26 = 2*o - o, -4*o + 16 = 3*h. Suppose -3*t + 8 = 4*j, -j - h = j. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}